Jinqiao Duan
Researcher
Jinqiao Duan's AcademicInfluence.com Rankings

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Computer Science
Jinqiao Duan's Degrees
- PhD Computer Science Stanford University
- Masters Computer Science University of California, Berkeley
- Bachelors Computer Science University of California, Berkeley
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Why Is Jinqiao Duan Influential?
(Suggest an Edit or Addition)According to Wikipedia, Jinqiao Duan is a professor of mathematics at Illinois Institute of Technology, Chicago, USA. He is known for scientific contributions to stochastic and nonlinear dynamics, stochastic partial differential equations, non-equilibrium statistical physics, and applications to biophysical & geophysical sciences. His current research also includes data science & stochastic dynamics, stochastic Hamilton/Contact dynamics & geometric mechanics, and open quantum dynamics & stochastic dynamics. His particular contributions include a random invariant manifold framework, effective reduction and approximation, quantifying non-Gaussian stochastic dynamics by nonlocal partial differential equations, a nonlocal Kramers-Moyal formula, non-Gaussian data assimilation, Onsager-Machlup action functional theory, and transitions between metastable states for stochastic dynamical systems .
Jinqiao Duan's Published Works
Published Works
- THE GARCH OPTION PRICING MODEL (1995) (1154)
- MAXIMUM LIKELIHOOD ESTIMATION USING PRICE DATA OF THE DERIVATIVE CONTRACT (1994) (379)
- Augmented GARCH (p,q) process and its diffusion limit (1997) (363)
- Estimating and Testing Exponential-Affine Term Structure Models by Kalman Filter (1999) (309)
- INVARIANT MANIFOLDS FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS (2003) (273)
- An Introduction to Stochastic Dynamics (2015) (256)
- Multiperiod Corporate Default Prediction - A Forward Intensity Approach (2012) (250)
- Empirical Martingale Simulation for Asset Prices (1995) (215)
- Fractional Fokker-Planck Equation for Nonlinear Stochastic Differential Equations Driven by Non-Gaussian Levy Stable Noises (1999) (174)
- Systematic Risk and the Price Structure of Individual Equity Options (2009) (155)
- American option pricing under GARCH by a Markov chain approximation (2001) (152)
- An averaging principle for stochastic dynamical systems with Lévy noise (2011) (147)
- Stochastic bifurcations in a bistable Duffing-Van der Pol oscillator with colored noise. (2011) (144)
- Smooth Stable and Unstable Manifolds for Stochastic Evolutionary Equations (2004) (142)
- Correction: Maximum Likelihood Estimation Using Price Data of the Derivative Contract (Mathematical Finance 1994, 4/2, 155–167) (2000) (139)
- Jump and Volatility Risk Premiums Implied by VIX (2008) (132)
- Effective Dynamics of Stochastic Partial Differential Equations (2014) (127)
- Option pricing under regime switching (2002) (120)
- Large deviations for the Boussinesq equations under random influences (2008) (118)
- Restoration of rhythmicity in diffusively coupled dynamical networks (2015) (118)
- Estimating the Structural Credit Risk Model When Equity Prices Are Contaminated by Trading Noises (2009) (115)
- Fixed-rate deposit insurance and risk-shifting behavior at commercial banks (1992) (114)
- APPROXIMATING GARCH‐JUMP MODELS, JUMP‐DIFFUSION PROCESSES, AND OPTION PRICING (2006) (113)
- Limit set of trajectories of the coupled viscous Burgers' equations (1996) (104)
- On the Equivalence of the KMV and Maximum Likelihood Methods for Structural Credit Risk Models (2005) (100)
- Lévy noise-induced stochastic resonance in a bistable system (2012) (93)
- Mean Exit Time and Escape Probability for Dynamical Systems Driven by Lévy Noises (2012) (93)
- Deposit insurance and bank interest rate risk: Pricing and regulatory implications (1995) (93)
- Option valuation with co-integrated asset prices (2000) (91)
- Three-Dimensional Turbulent Bottom Density Currents from a High-Order Nonhydrostatic Spectral Element Model (2004) (91)
- Complex projective synchronization in coupled chaotic complex dynamical systems (2012) (88)
- Large eddy simulation of stratified mixing in two-dimensional dam-break problem in a rectangular enclosed domain (2007) (84)
- Navier-Stokes, Fluid Dynamics, and Image and Video Inpainting (2001) (83)
- Pricing Hang Seng Index options around the Asian financial crisis – A GARCH approach (2001) (79)
- Probability and partial differential equations in modern applied mathematics (2005) (73)
- Approximating the GJR-GARCH and EGARCH option pricing models analytically (2006) (71)
- Measuring Distance-to-Default for Financial and Non-Financial Firms (2012) (70)
- Global existence theory for a generalized Ginzburg-Landau equation (1992) (69)
- Volatility and maturity effects in the Nikkei index futures (1999) (67)
- Regularity, approximation and asymptotic dynamics for a generalized Ginzburg-Landau equation (1993) (66)
- A public good approach to credit ratings – From concept to reality (2012) (66)
- Jump Starting GARCH: Pricing and Hedging Options With Jumps in Returns and Volatilities (2006) (65)
- The 3D Quasigeostrophic Fluid Dynamics Under Random Forcing On Boundary (2000) (65)
- Executive stock options and incentive effects due to systematic risk (2005) (64)
- Pricing Discretely Monitored Barrier Options by a Markov Chain (2003) (61)
- Transitions in a genetic transcriptional regulatory system under Lévy motion (2016) (59)
- Large scale recurrent neural network on GPU (2014) (57)
- Capital standard, forbearance and deposit insurance pricing under GARCH (1999) (55)
- Pricing Foreign Currency and Cross-Currency Options Under GARCH (1999) (55)
- A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations (2019) (55)
- Non-autonomous dynamics of wave equations with nonlinear damping and critical nonlinearity (2006) (53)
- Estimating Merton's Model by Maximum Likelihood with Survivorship Consideration (2004) (53)
- Fluid Exchange across a Meandering Jet Quasiperiodic Variability (1996) (53)
- Entrainment in bottom gravity currents over complex topography from three‐dimensional nonhydrostatic simulations (2004) (53)
- Linearized compact ADI schemes for nonlinear time-fractional Schrödinger equations (2018) (52)
- Density-Tempered Marginalized Sequential Monte Carlo Samplers (2013) (51)
- Forbearance and Pricing Deposit Insurance in a Multiperiod Framework (1994) (50)
- Fokker-Planck equations for stochastic dynamical systems with symmetric Lévy motions (2013) (50)
- Maximum likelihood estimation of deposit insurance value with interest rate risk (2002) (49)
- An Analytical Approximation for the GARCH Option Pricing Model Journal of Computational Finance (1999) (48)
- Fair insurance guaranty premia in the presence of risk-based capital regulations, stochastic interest rate and catastrophe risk (2005) (46)
- Asymptotic behavior of solutions for random wave equations with nonlinear damping and white noise (2011) (45)
- Exponential stability of non-autonomous stochastic partial differential equations with finite memory (2007) (45)
- Stochastic parameterization for large eddy simulation of geophysical flows (2006) (44)
- Recent development in stochastic dynamics and stochastic analysis (2010) (43)
- Solving Inverse Stochastic Problems from Discrete Particle Observations Using the Fokker-Planck Equation and Physics-informed Neural Networks (2020) (43)
- Stochastic Averaging Principle for Dynamical Systems with Fractional Brownian Motion (2013) (42)
- Probabilistic structural dynamics of protein folding (2000) (42)
- On the Cauchy problem of a generalized Ginzburg-Landau equation (1994) (42)
- Uniform Attractors for Nonautonomous Wave Equations with Nonlinear Damping (2006) (42)
- Asymptotics for the Generalized Two-Dimensional Ginzburg–Landau Equation (2000) (41)
- Stochastic basins of attraction for metastable states. (2016) (41)
- A two-level linearized compact ADI scheme for two-dimensional nonlinear reaction-diffusion equations (2018) (40)
- Stochastic dynamics of a coupled atmosphere-ocean model (2002) (39)
- Nonlinear filtering of stochastic dynamical systems with Lévy noises (2015) (39)
- Forward-Looking Market Risk Premium (2013) (38)
- Assessing the cost of Taiwan's deposit insurance (1994) (36)
- On the Initial-Value Problem for the Generalized Two-Dimensional Ginzburg–Landau Equation☆ (1997) (36)
- A Unified Theory of Option Pricing under Stochastic Volatility from GARCH to Diffusion (1994) (36)
- Random attractor for the Ladyzhenskaya model with additive noise (2010) (35)
- Non-autonomous wave dynamics with memory --- asymptotic regularity and uniform attractor (2008) (35)
- Large deviations and approximations for slow–fast stochastic reaction–diffusion equations (2012) (33)
- Lagrangian transport and chaos in the near wake of the flow around an obstacle: a numerical implementation of lobe dynamics (1997) (33)
- AN AVERAGING PRINCIPLE FOR TWO-SCALE STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS (2011) (33)
- Slow Manifolds for Multi-Time-Scale Stochastic Evolutionary Systems (2012) (33)
- Fronts, domain walls and pulses in a generalized Ginzburg-Landau equation (1995) (33)
- Lévy noise-induced escape in an excitable system (2017) (33)
- A Specification Test for Time Series Models by a Normality (2004) (33)
- Handbook of Computational Finance (2012) (32)
- Infinite-Dimensional Linear Dynamical Systems with Chaoticity (1998) (32)
- Reductions and Deviations for Stochastic Partial Differential Equations Under Fast Dynamical Boundary Conditions (2007) (31)
- Impacts of noise on a class of partial differential equations (2014) (31)
- Dynamics of a Nonlocal Kuramoto–Sivashinsky Equation (1998) (31)
- Learning and meta-learning of stochastic advection–diffusion–reaction systems from sparse measurements (2019) (31)
- Fokker-Planck equations for nonlinear dynamical systems driven by non-Gaussian Lévy processes (2012) (31)
- A DYNAMICAL APPROXIMATION FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS (2006) (30)
- Homogenized Dynamics of Stochastic Partial Differential Equations with Dynamical Boundary Conditions (2007) (30)
- Loan commitments, investment decisions and the signalling equilibrium (1993) (29)
- Almost Periodic Solutions and Global Attractors of Non-autonomous Navier–Stokes Equations (2004) (29)
- Data assimilation and parameter estimation for a multiscale stochastic system with α-stable Lévy noise (2017) (28)
- Most probable dynamics of some nonlinear systems under noisy fluctuations (2016) (28)
- Emergence of amplitude and oscillation death in identical coupled oscillators. (2014) (28)
- Most probable dynamics of a genetic regulatory network under stable Lévy noise (2018) (28)
- The maximum likelihood climate change for global warming under the influence of greenhouse effect and Lévy noise. (2019) (28)
- A linear chaotic quantum harmonic oscillator (1998) (27)
- Approximation for random stable manifolds under multiplicative correlated noises (2016) (27)
- Particle dynamics and transport enhancement in a confined channel with position-dependent diffusivity (2020) (27)
- A Stochastic Pitchfork Bifurcation in Most Probable Phase Portraits (2018) (26)
- Dissipative Quasi-geostrophic Dynamics under Random Forcing (1998) (24)
- An impact of noise on invariant manifolds in nonlinear dynamical systems (2010) (24)
- Price and Volatility Dynamics Implied by the VIX Term Structure (2011) (24)
- A Data-Driven Approach for Discovering Stochastic Dynamical Systems with Non-Gaussian Levy Noise (2020) (24)
- Onsager-Machlup action functional for stochastic partial differential equations with Levy noise. (2020) (24)
- Numerical methods for the mean exit time and escape probability of two-dimensional stochastic dynamical systems with non-Gaussian noises (2015) (24)
- The Cauchy problem for the Ostrovsky equation with positive dispersion (2015) (24)
- The Onsager–Machlup function as Lagrangian for the most probable path of a jump-diffusion process (2018) (23)
- On the stochastic Kuramoto—Sivanshinsky equation (2001) (23)
- An alternative expression for stochastic dynamical systems with parametric Poisson white noise (2013) (23)
- Asymptotic Distribution of the EMS Option Price Estimator (2001) (23)
- Synchronization of systems of Marcus canonical equations driven by α-stable noises☆ (2010) (23)
- Multiperiod Corporate Default Prediction with the Partially-Conditioned Forward Intensity (2013) (22)
- Asymptotic dynamical difference between the nonlocal and local Swift–Hohenberg models (1998) (22)
- Default Correlations and Large-Portfolio Credit Analysis (2016) (22)
- A simple long-memory equilibrium interest rate model (1996) (22)
- Lévy noise induced transition and enhanced stability in a gene regulatory network. (2018) (22)
- Effective Macroscopic Dynamics of Stochastic Partial Differential Equations in Perforated Domains (2007) (22)
- Asymmetric non-Gaussian effects in a tumor growth model with immunization (2012) (21)
- An Impact of Stochastic Dynamic Boundary Conditions on the Evolution of the Cahn-Hilliard System (2006) (21)
- Enhancing dynamical robustness in aging networks of coupled nonlinear oscillators (2016) (21)
- Asymptotic behavior for a semilinear second order evolution equation (2011) (21)
- On the Stochastic Kuramoto-Sivashinsky Equation (1999) (21)
- Approximation of Random Slow Manifolds and Settling of Inertial Particles Under Uncertainty (2012) (20)
- Synchronization of Dissipative Dynamical Systems Driven by Non-Gaussian Lévy Noises (2009) (20)
- Synchronization of an evolving complex hyper-network (2012) (19)
- The effect of nonlocal interactions on the dynamics of the Ginzburg-Landau equation (1996) (19)
- Most probable transition pathways and maximal likely trajectories in a genetic regulatory system (2019) (19)
- Cascading Defaults and Systemic Risk of a Banking Network (2013) (18)
- Likelihood for transcriptions in a genetic regulatory system under asymmetric stable Lévy noise. (2017) (18)
- Nonparametric Option Pricing by Transformation (2002) (18)
- Ergodicity of stochastically forced large scale geophysical flows (2001) (18)
- On the shape Conley index theory of semiflows on complete metric spaces (2015) (17)
- Geometric shape of invariant manifolds for a class of stochastic partial differential equations (2010) (17)
- Symbolic Representations of Iterated Maps (2000) (17)
- A computational analysis for mean exit time under non-Gaussian Lévy noises (2011) (17)
- The tipping times in an Arctic sea ice system under influence of extreme events. (2020) (17)
- Slow foliation of a slow-fast stochastic evolutionary system (2013) (16)
- Discovering transition phenomena from data of stochastic dynamical systems with Lévy noise. (2020) (16)
- Seize the Moments: Approximating American Option Prices in the GARCH Framework (2002) (16)
- State estimation under non-Gaussian Levy noise: A modified Kalman filtering method (2013) (16)
- Escape probability, mean residence time and geophysical fluid particle dynamics (1999) (16)
- Effective filtering on a random slow manifold (2017) (16)
- Detecting the maximum likelihood transition path from data of stochastic dynamical systems. (2020) (16)
- Simulating Stochastic Inertial Manifolds by a Backward-Forward Approach (2012) (16)
- Metastability for discontinuous dynamical systems under Lévy noise: Case study on Amazonian Vegetation (2017) (15)
- Stability and convergence of compact finite difference method for parabolic problems with delay (2018) (15)
- On global attractors for a class of nonhyperbolic piecewise affine maps (2008) (15)
- Default Probabilities of Privately Held Firms (2015) (15)
- Clustered Defaults (2010) (15)
- Dissipative Quasi-Geostrophic Motion under Temporally Almost Periodic Forcing☆☆☆ (1999) (15)
- Global attractors and invariant measures for non-invertible planar piecewise isometric maps (2007) (15)
- Recurrent motions in the nonautonomous Navier-Stokes system (2003) (14)
- A Wong-Zakai approximation for random invariant manifolds (2017) (14)
- Impact of boundary conditions on entrainment and transport in gravity currents (2006) (13)
- A Stochastic Approach for Parameterizing Unresolved Scales in a System with Memory (2009) (13)
- A parameter estimation method based on random slow manifolds (2013) (13)
- Numerical algorithms for mean exit time and escape probability of stochastic systems with asymmetric Lévy motion (2017) (13)
- Approximating Dynamics of a Singularly Perturbed Stochastic Wave Equation with a Random Dynamical Boundary Condition (2012) (13)
- A stable estimator of the information matrix under EM for dependent data (2011) (13)
- Spanning with Index Options (1992) (12)
- Centre manifolds for stochastic evolution equations (2015) (12)
- Invariant manifold reduction for stochastic dynamical systems (2006) (12)
- Existence and regularity of a linear nonlocal Fokker–Planck equation with growing drift (2017) (12)
- Transitions between metastable states in a simplified model for the thermohaline circulation under random fluctuations (2019) (12)
- An intermediate regime for exit phenomena driven by non-Gaussian Levy noises (2008) (12)
- Effects of Lévy noise on the FitzHugh-Nagumo model: A perspective on the maximal likely trajectories. (2019) (12)
- Actuarial Par Spread and Empirical Pricing of CDS by Decomposition (2014) (12)
- Convergence of global attractors of a 2D non-Newtonian system to the global attractor of the 2D Navier-Stokes system (2013) (12)
- Escape Probability for Stochastic Dynamical Systems with Jumps (2011) (12)
- Most probable dynamics of stochastic dynamical systems with exponentially light jump fluctuations. (2020) (11)
- Discovering mean residence time and escape probability from data of stochastic dynamical systems. (2019) (11)
- Mean Exit Time and Escape Probability for a Tumor Growth System under Non-Gaussian noise (2011) (11)
- Stationary measures for stochastic differential equations with jumps (2012) (11)
- Bridging the Boussinesq and primitive equations through spatio-temporal filtering (2010) (11)
- Managing banks' duration gaps when interest rates are stochastic and equity has limited liability (1999) (11)
- Machine learning framework for computing the most probable paths of stochastic dynamical systems. (2020) (11)
- The influences of correlated spatially random perturbations on first passage time in a linear-cubic potential. (2019) (11)
- Generalization of the second Bogolyubov's theorem for non-almost periodic systems (2003) (10)
- Rare events in the Boussinesq system with fluctuating dynamical boundary conditions (2010) (10)
- Escape Probability and Mean Residence Time in Random Flows with Unsteady Drift (1999) (10)
- Exponential stability of the quasigeostrophic equation under random perturbations (2004) (10)
- Numerical analysis and applications of Fokker-Planck equations for stochastic dynamical systems with multiplicative α-stable noises (2020) (10)
- Dynamics of quasi-geostrophic fluid motion with rapidly oscillating Coriolis force (2003) (10)
- How Frequently Does the Stock Price Jump? { An Analysis of High-Frequency Data with Microstructure Noises (2007) (10)
- Random Dynamics of the Boussinesq System with Dynamical Boundary Conditions (2009) (10)
- Small probability events for two-layer geophysical flows under uncertainty (2008) (10)
- Probabilistic Dynamics of Two-Layer Geophysical Flows (2001) (10)
- An averaging principle for fractional stochastic differential equations with Lévy noise. (2020) (10)
- Quantifying model uncertainty in dynamical systems driven by non-Gaussian Lévy stable noise with observations on mean exit time or escape probability (2016) (10)
- Learning the temporal evolution of multivariate densities via normalizing flows (2021) (10)
- State transitions in the Morris-Lecar model under stable Lévy noise (2019) (9)
- Extracting stochastic governing laws by non-local Kramers–Moyal formulae (2021) (9)
- Non-Gaussian Bridge Sampling with an Application (2015) (9)
- Short and Long Memory in Equilibrium Interest Rate Dynamics (2001) (9)
- Martingale and Weak Solutions for a Stochastic Nonlocal Burgers Equation on Bounded Intervals (2014) (9)
- Semi-Nonparametric Estimation of the Call Price Surface Under No-Arbitrage Constraints (2012) (9)
- General matrix-valued inhomogeneous linear stochastic differential equations and applications (2008) (9)
- Determining functionals for random partial differential equations (2001) (9)
- Effective Filtering Analysis for Non-Gaussian Dynamic Systems (2018) (9)
- Is long memory necessary? An empirical investigation of nonnegative interest rate processes (2008) (9)
- Hamiltonian systems with Lévy noise: Symplecticity, Hamilton’s principle and averaging principle (2018) (8)
- Upper semicontinuity of Global attractors for 2D Navier-Stokes equations (2012) (8)
- A logistic-harvest model with allee effect under multiplicative noise (2020) (8)
- A nonlocal Fokker-Planck equation for non-Gaussian stochastic dynamical systems (2015) (8)
- Term Structure and Bond Option Pricing under GARCH (1996) (8)
- Homogenization of nonlocal partial differential equations related to stochastic differential equations with Lévy noise (2018) (8)
- Discovering governing equation from data for multi-stable energy harvester under white noise (2021) (8)
- Exponential stability of the multi-layer quasi-geostrophic ocean model with delays (2009) (8)
- Dynamics of transport under random fluxes on the boundary (2008) (8)
- Derivation of Fokker-Planck equations for stochastic dynamical systems under excitation of multiplicative non-Gaussian white noise (2014) (8)
- Characterization of the most probable transition paths of stochastic dynamical systems with stable Lévy noise (2018) (8)
- Slow manifolds for a nonlocal fast-slow stochastic system with stable Lévy noise (2019) (8)
- Recurrent motions and global attractors of non-autonomous Lorenz systems (2004) (8)
- Topological equivalence for discontinuous random dynamical systems and applications (2012) (8)
- Stochastic Quantification of Missing Mechanisms in Dynamical Systems (2009) (8)
- Slow manifolds for dynamical systems with non-Gaussian stable Lévy noise (2019) (8)
- Asymptotic methods for stochastic dynamical systems with small non-Gaussian L\'evy noise (2012) (7)
- A regularity result for the nonlocal Fokker-Planck equation with Ornstein-Uhlenbeck drift (2015) (7)
- Fokker-Planck equation driven by asymmetric Lévy motion (2018) (7)
- Extracting Governing Laws from Sample Path Data of Non-Gaussian Stochastic Dynamical Systems (2021) (7)
- Quantifying Model Uncertainties in Complex Systems (2011) (7)
- Stochastic bifurcation for two-time-scale dynamical system with α-stable Lévy noise (2021) (7)
- A Taylor expansion approach for solving partial differential equations with random Neumann boundary conditions (2011) (7)
- Maximum principles for nonlocal parabolic Waldenfels operators (2016) (7)
- Invariant manifold reduction and bifurcation for stochastic partial differential equations (2006) (7)
- On a coupled Kuramoto–Sivashinsky and Ginzburg–Landau-type model for the Marangoni convection (1997) (7)
- Stochastic modeling of nonlinear oscillators under combined Gaussian and Poisson white noise: a viewpoint based on the energy conservation law (2016) (7)
- Approximation of invariant foliations for stochastic dynamical systems (2011) (7)
- Multiplicity of solutions in maximum likelihood factor analysis (1993) (7)
- Determining functionals for random partial differential equations (2003) (7)
- On a stochastic nonlocal conservation law in a bounded domain (2016) (7)
- Time-periodic quasigeostrophic motion under dissipation and forcing (1998) (7)
- Option Valuation with Jumps in Returns and Volatility (2002) (7)
- Maximum likelihood estimation of stochastic differential equations with random effects driven by fractional Brownian motion (2020) (7)
- Chaotic Properties of Subshifts Generated by a Nonperiodic Recurrent Orbit (1999) (7)
- Structure of the set of bounded solutions for a class of nonautonomous second-order differential equations (2009) (7)
- A sufficient condition for bifurcation in random dynamical systems (2009) (7)
- Predictability of the Burgers dynamics under model uncertainty (2006) (7)
- A Markov Chain Method for Pricing Contingent Claims (2003) (7)
- Behavioral synchronization induced by epidemic spread in complex networks. (2017) (7)
- Dynamical inference for transitions in stochastic systems with α-stable Lévy noise (2015) (7)
- Is Systematic Risk Priced in Options? (2006) (7)
- Wave-breaking and moderate deviations of the stochastic Camassa–Holm equation with pure jump noise (2021) (7)
- A Newton linearized compact finite difference scheme for one class of Sobolev equations (2018) (7)
- An end-to-end deep learning approach for extracting stochastic dynamical systems with α-stable Lévy noise (2022) (7)
- Stochastic modeling of unresolved scales in complex systems (2008) (7)
- The Cauchy problem for a two-dimensional generalized Kadomtsev–Petviashvili-I equation in anisotropic Sobolev spaces (2017) (7)
- Large deviations for slow-fast stochastic partial differential equations (2010) (6)
- State space decomposition for non-autonomous dynamical systems (2009) (6)
- Random Dynamics of the Stochastic Boussinesq Equations Driven by Lévy Noises (2013) (6)
- Predicting Recovery Rate at the Time of Corporate Default (2014) (6)
- Forward attraction of pullback attractors and synchronizing behavior of gradient-like systems with nonautonomous perturbations (2019) (6)
- Approximation of random invariant manifolds for a stochastic Swift-Hohenberg equation (2016) (6)
- Perspectives in Mathematical Sciences (2010) (6)
- Slow manifold for a nonlocal stochastic evolutionary system with fast and slow components (2017) (6)
- Recurrent Solutions of a Nonautonomous Modified Swift-Hohenberg Equation (2019) (6)
- Large deviations for the stochastic quasigeostrophic equation with multiplicative noise (2010) (6)
- Elementary bifurcations for a simple dynamical system under non-Gaussian Levy noises (2012) (6)
- Global well-posedness of the stochastic Camassa–Holm equation (2021) (6)
- Ergodic dynamics of the stochastic Swift–Hohenberg system (2004) (6)
- Bounded and unbounded solutions of a discontinuous oscillator at resonance (2018) (6)
- CONVERGENCE SPEED OF GARCH OPTION PRICE TO DIFFUSION OPTION PRICE (2009) (6)
- ALMOST PERIODIC MOTIONS AND GLOBAL ATTRACTORS OF THE NONAUTONOMOUS NAVIER-STOKES EQUATIONS (5)
- Homogenization of Periodic Linear Nonlocal Partial Differential Equations (2018) (5)
- Chapter 4 – Stochastic Partial Differential Equations (2014) (5)
- Homogenization of Stable-like Feller Processes (2018) (5)
- Lévy noise induced escape in the Morris–Lecar model (2018) (5)
- Dynamics of a coupled atmosphere–ocean model (2004) (5)
- Dynamical behavior of the activator-repressor circuit model under random fluctuations (2011) (5)
- Total value adjustment of Bermudan option valuation under pure jump Lévy fluctuations (2021) (5)
- Stochastic bifurcation in single-species model induced by α-stable Lévy noise (2020) (5)
- A Stable Estimator for the Information Matrix under EM (2007) (5)
- Financial Network and Systemic Risk via Forward ‐ Looking Partial Default Correlations (2017) (5)
- Stochastic turbulence for Burgers equation driven by cylindrical Lévy process (2021) (5)
- An Optimal Control Method to Compute the Most Likely Transition Path for Stochastic Dynamical Systems with Jumps (2022) (5)
- Some implications of traded options on the pricing of the underlying stock (1992) (5)
- Approximation of the inertial manifold for a nonlocal dynamical system (2014) (4)
- Predictability in Nonlinear Dynamical Systems with Model Uncertainty (2008) (4)
- Elementary bifurcations for a simple dynamical system under non-Gaussian Lévy noises (2012) (4)
- Feedback Stabilization for Oseen Fluid Equations: A Stochastic Approach (2005) (4)
- Lyapunov exponents of stochastic differential equations driven by Lévy processes (2016) (4)
- Maximum Likelihood Estimation of Structural Credit Spread Models-Deterministic and Stochastic Interest Rates (2002) (4)
- Ensemble Averaging for Dynamical Systems Under Fast Oscillating Random Boundary Conditions (2012) (4)
- Kinetic Solutions for Nonlocal Scalar Conservation Laws (2017) (4)
- Complex projective synchronization in coupled chaotic complex dynamical systems (2011) (4)
- Modeling Colored Noise by Fractional Brownian Motion (2010) (4)
- Evolution systems of measures for stochastic flows (2010) (4)
- Averaging principle for quasi-geostrophic motion under rapidly oscillating forcing (2005) (4)
- White noise driven Ostrovsky equation (2019) (4)
- Risk Premium and Pricing of Derivatives in Complete Markets (1991) (4)
- Approximation representation of parameterizing manifold and non-Markovian reduced systems for a stochastic Swift-Hohenberg equation (2016) (4)
- Global Mild Solutions and Attractors for Stochastic Viscous Cahn-Hilliard Equation (2011) (4)
- Stochastic regularization for transport equations (2020) (4)
- Extracting stochastic dynamical systems with α-stable Lévy noise from data (2021) (4)
- Generalized Stable Multivariate Distribution and Anisotropic Dilations (1999) (4)
- Global well-posedness of a stochastic coupled Kuramoto–Sivashinsky and Ginzburg–Landau-type model for the Marangoni convection (2012) (4)
- Compactly Generated Shape Index Theory and its Application to a Retarded Nonautonomous Parabolic Equation (2018) (4)
- Enstrophy dynamics of stochastically forced large-scale geophysical flows (2001) (4)
- Symbolic representation of iterated maps (2001) (4)
- Target search of a protein on DNA in the presence of position-dependent bias (2018) (4)
- Action Functionals for Stochastic Differential Equations with Lévy Noise (2019) (4)
- Slow manifolds for stochastic systems with non-Gaussian stable Lévy noise (2017) (4)
- A MARKOV JUMP PROCESS APPROXIMATION OF THE STOCHASTIC BURGERS EQUATION (2004) (4)
- Almost periodic passive tracer dispersion (1999) (3)
- Variable Selection with Big Data based on Zero Norm and via Sequential Monte Carlo (2019) (3)
- Nonlocal elliptic equations involving measures (2015) (3)
- Estimating Distance-to-Default with a Sector-Specific Liability Adjustment via Sequential Monte Carlo (2017) (3)
- Extracting stochastic dynamical systems with $\alpha$-stable L\'evy noise from data (2021) (3)
- Default Probabilities and Interest Expenses of Privately Held Firms (2012) (3)
- Maximal likely phase lines for a reduced ice growth model (2019) (3)
- Symplectic Euler scheme for Hamiltonian stochastic differential equations driven by Levy noise (2020) (3)
- Extracting Non-Gaussian Governing Laws from Data on Mean Exit Time (2020) (3)
- A parameter estimator based on Smoluchowski-Kramers approximation (2018) (3)
- Schauder estimates for stochastic transport-diffusion equations with Lévy processes (2017) (3)
- Identifying stochastic governing equations from data of the most probable transition trajectories (2020) (3)
- Global solution and blow-up of the stochastic nonlinear Schrödinger system (2019) (3)
- Deposit insurance and risk-shifting behaviour at commercial banks (1990) (3)
- Effective reduction of a three-dimensional circadian oscillator model (2019) (3)
- Enhanced PD-implied ratings by targeting the credit rating migration matrix (2021) (3)
- Cascading Defaults and Systemic Risk of a Banking System (2013) (3)
- A remark on the three dimensional baroclinic quasi-geostrophic dynamics (1998) (3)
- Maximum principles for nonlocal parabolic Waldenfels operators (2016) (3)
- Center manifolds for stochastic evolution equations (2012) (3)
- Instability of small-amplitude periodic waves from fold-Hopf bifurcation (2020) (3)
- A role of random slow manifolds in detecting stochastic bifurcation (2018) (3)
- On Diversification Discount - The Effect of Leverage (2006) (3)
- Non-Gaussian dynamics of a tumor growth system with immunization (2012) (3)
- Indexing Executive Stock Options Relatively (2003) (3)
- Effective dynamics of a coupled microscopic-macroscopic stochastic system (2010) (3)
- Estimating the most probable transition time for stochastic dynamical systems (2020) (3)
- Centre manifolds for infinite dimensional random dynamical systems (2013) (3)
- Smooth solution of a nonlocal Fokker-Planck equation associated with stochastic systems with Lévy noise (2016) (3)
- Data-driven method to learn the most probable transition pathway and stochastic differential equations (2021) (3)
- Compactly Generated Shape Index for Infinite-dimensional Local Dynamical Systems on Complete Metric Spaces (2018) (3)
- Mean exit time for stochastic dynamical systems driven by tempered stable Lévy fluctuations (2018) (3)
- The maximum likelihood climate change for global warming under the influence of greenhouse effect and Levy noise (2019) (3)
- Local-momentum autoregression and the modeling of interest rate term structure (2016) (2)
- Global Well-posedness of the Stochastic Generalized Kuramoto-Sivashinsky Equation with Multiplicative Noise (2018) (2)
- Existence and uniqueness of $W^{1,r}_{loc}$-solutions for stochastic transport equations (2017) (2)
- Maximum Likelihood Estimation of Latent Variable Models by SMC with Marginalization and Data Cloning (2017) (2)
- Predictability in Spatially Extended Systems with Model Uncertainty (2008) (2)
- Stochastic Calculus in Hilbert Space (2014) (2)
- The Cauchy problem for two dimensional fifth-order Kadomtsev-Petviashvili-I equation in anisotropic Sobolev spaces (2017) (2)
- Global solutions for a nonlocal Ginzberg-Landau equation and a nonlocal Fokker-Plank equation (2013) (2)
- Impact of Correlated Noises on Additive Dynamical Systems (2014) (2)
- Most Probable Transitions from Metastable to Oscillatory Regimes in a Carbon Cycle System (2021) (2)
- Energetic Variation with the Anderson Hamiltonian (2021) (2)
- Data-cloning SMC2: A global optimizer for maximum likelihood estimation of latent variable models (2020) (2)
- The Most Probable Transition Paths of Stochastic Dynamical Systems: Equivalent Description and Characterization (2021) (2)
- Kantorovich–Rubinstein distance and approximation for non-local Fokker–Planck equations (2021) (2)
- Canonical Sample Spaces for Random Dynamical Systems (2009) (2)
- Competition promotes the persistence of populations in ecosystems (2016) (2)
- Dynamical Analysis of Stochastic COVID-19 Model with Jump-Diffusion (2020) (2)
- The 3D quasigeostrophic equation under random perturbation (2000) (2)
- Effective reduction and dynamics of a circadian oscillator model. (2019) (2)
- A Wiener–Hopf approximation technique for a multiple plate diffraction problem (2004) (2)
- PD-Implied Ratings via Referencing a Credit Rating/Scoring Pool’s Default Experience (2020) (2)
- Slow Manifold and Parameter Estimation for a Nonlocal Fast-Slow Dynamical System with Brownian Motion (2021) (2)
- On nonlinear amplitude evolution under stochastic forcing (2000) (2)
- Bifurcation in Mean Phase Portraits for Stochastic Dynamical Systems with Multiplicative Gaussian Noise (2018) (2)
- The Estimation of Deposit Insurance with Interest Rate Risk (1998) (2)
- Stochastic nonlocal conservation laws on whole space (2019) (2)
- Pseudorandom numbers for conformal measures (2009) (2)
- Effective wave factorization for a stochastic Schrödinger equation (2020) (2)
- Influence of extreme events modeled by Lévy flight on global thermohaline circulation stability (2020) (2)
- Liquidity and Default (2014) (2)
- Dynamics of the Tyson–Hong–Thron–Novak circadian oscillator model (2020) (2)
- Dynamics of the Thermohaline Circulation under Wind Forcing (2001) (2)
- The effect of changing the Coriolis force gradient parameter on the escape probability and mean residence time (2001) (2)
- Linear Response Theory for Nonlinear Stochastic Differential Equations with $$\alpha $$-Stable Lévy Noises (2021) (2)
- Gevrey semigroup generated by −(Λ + b ⋅ ∇) in Lp(Rn) (2020) (2)
- Long-time behavior of a class of nonlocal partial differential equations (2018) (2)
- Variational inference of the drift function for stochastic differential equations driven by Lévy processes. (2022) (2)
- On the abrupt change of the maximum likelihood state in a simplified stochastic thermohaline circulation system. (2020) (2)
- On a Linear Chaotic Quantum Harmonic Oscillator ∗ September 7 , 1997 (1997) (1)
- Slow integral manifolds for Lagrangian fluid dynamics in unsteady geophysical flows (2007) (1)
- Passive tracer dispersion with random or periodic source (1998) (1)
- A data-driven approach for discovering the most probable transition pathway for a stochastic carbon cycle system. (2022) (1)
- Variational methods and nonlinear quasigeostrophic waves (1999) (1)
- Auto-SDE: Learning effective reduced dynamics from data-driven stochastic dynamical systems (2022) (1)
- Boundary Blow-up Solutions to Nonlocal Elliptic Systems of Cooperative Type (2018) (1)
- Multiplicative ergodic theorem for discontinuous random dynamical systems (2012) (1)
- A nonlocal Fokker-Plank equation for non-Gaussian stochastic dynamical systems ∗ (2015) (1)
- Fokker-Planck equations for nonlinear dynamical systems driven by multiplicative $\alpha$-stable L\'evy motions (2018) (1)
- IMPACTS OF NOISE ON ORDINARY DIFFERENTIAL EQUATIONS (2018) (1)
- Time Series Forecasting with Ensembled Stochastic Differential Equations Driven by Lévy Noise (2021) (1)
- Dynamical behavior of a nonlocal Fokker-Planck equation for a stochastic system with tempered stable noise. (2021) (1)
- The role of slow manifolds in parameter estimation for a multiscale stochastic system with α-stable Lévy noise (2020) (1)
- A Sufficient Condition for Non-Explosion for a Class of Stochastic Partial Differential Equations (2010) (1)
- Data-driven method to learn the most probable transition pathway and stochastic differential equation (2022) (1)
- Random chain recurrent sets for random dynamical systems (2008) (1)
- Convergence problem of Ostrovsky equation with rough data and random data (2020) (1)
- A delay-dependent stability criterion for nonlinear stochastic delay-integro-differential equations (2011) (1)
- Large deviations for stochastic systems of slow-fast diffusions with non-Gaussian L\'evy noises. (2019) (1)
- Quantifying Model Uncertainties in the Space of Probability Measures (2012) (1)
- Dynamics of the thermohaline circulation under uncertainty (2004) (1)
- Linear Response Theory for Nonlinear Stochastic Differential Equations with ˛ -Stable Lévy Noises (2020) (1)
- A Theory of Compact Hausdorff Shape in Hausdorff Spaces (2018) (1)
- Fokker-Planck equation driven by asymmetric L\'evy motion (2018) (1)
- Neural network stochastic differential equation models with applications to financial data forecasting (2021) (1)
- Center manifolds for infinite dimensional random dynamical systems (2013) (1)
- Effective dynamics of stochastic wave equation with a random dynamical boundary condition (2012) (1)
- IMPACT OF α-STABLE LÉVY NOISE ON THE STOMMEL MODEL FOR THE THERMOHALINE CIRCULATION (2012) (1)
- Impact of $\alpha$-stable Lévy noise on the Stommel model for the thermohaline circulation (2012) (1)
- Parallel Neural Network Emulator For ECG Processing (1991) (1)
- Mean escape time for randomly switching narrow gates in a steady flow (2020) (1)
- Effective approximation for a nonlocal stochastic Schrödinger equation with oscillating potential (2019) (1)
- Enstrophy and Ergodicity Of Gravity Currents (2004) (1)
- A Multiplicative Ergodic Theorem for Discontinuous Random Dynamical Systems and Applications (2012) (1)
- Trajectory and Attractor Convergence for a Nonlocal Kuramoto-Sivashinsky Equation (1998) (1)
- Nonlocal Dynamics for Non-Gaussian Systems Arising in Biophysical Modeling (2019) (1)
- Detecting stochastic governing laws with observation on stationary distributions (2023) (1)
- Probabilistic pointwise convergence problem of some dispersive equations (2020) (1)
- Nonlinear stability of one-layer geostrophic fronts (1996) (1)
- A machine learning method for computing quasi-potential of stochastic dynamical systems (2022) (1)
- Large Deviations for Stochastic Differential Equations Driven by Semimartingales. (2019) (1)
- Dissipative Quasigeostrophic Dynamics under Random Forcing ∗ April 6 , 1998 (2008) (1)
- An Onsager-Machlup approach to the most probable transition pathway for a genetic regulatory network. (2022) (1)
- Random data Cauchy problem for a generalized KdV equation in the supercritical case (2017) (1)
- Weak averaging principle for multiscale stochastic dynamical systems driven by $\alpha$-stable processes (2020) (1)
- Mean escape time for randomly switching narrow gates in a cellular flow (2018) (1)
- Quantifying model uncertainty for the observed non-Gaussian data by the Hellinger distance (2020) (1)
- An Equilibrium Model for Term Structure of Interest Rates with Consumption Commitments (2010) (1)
- Option Pricing for Co-Integrated Assets (2002) (1)
- Deep Learning in Asset Pricing∗ (2019) (1)
- Numerical Pricing of Contingent Claims on Multiple Assets and/or Factors - A Low-Discrepancy Markov Chain Approach (2004) (1)
- Regulation banks' interest rate risk when interest rates are stochastic and equity has limited liability (1992) (1)
- A reply to “a note on the implications of traded options on the pricing of the underlying stock” (1994) (1)
- A generalization of the Mittag–Leffler function and solution of system of fractional differential equations (2018) (0)
- Lévy noise-induced stochastic resonance in a bistable system (2013) (0)
- The tipping times in an Arctic sea ice system under influence of extreme events (2021) (0)
- D S ] 2 7 A ug 2 00 4 Dynamics of a Coupled Atmosphere-Ocean Model (2008) (0)
- An alternative expression of Di Paola and Falson's formula for stochastic dynamics (2012) (0)
- Lagrangian Transport and Chaos in the near Wake of a Cylinder in the Time-periodic Regime: a Dynamical Systems Approach (2007) (0)
- Numerical analysis and applications of Fokker-Planck equations with multiplicative Lévy noises (2019) (0)
- Transitions between Ice-free and Ice-covered States in a Reduced Model (2019) (0)
- Random Data Cauchy Problem for Some Dispersive Equations (2016) (0)
- 「證券商共同網路交易平台」之可行性分析; Feasibility Study of 'Shared Securities Firms Network Trading Platform' (2006) (0)
- Diffusion approximation for diffusive time scale jump processes (2020) (0)
- Pull-in instability analyses for NEMS actuators with quartic shape approximation (2015) (0)
- Homogenization of Dissipative Hamiltonian Systems Under Lévy Fluctuations (2021) (0)
- Chapter 7 – Stochastic Homogenization (2014) (0)
- Modeling Nonlinear Phenomena by Dynamical Systems (1999) (0)
- Numerical analysis and applications of Fokker-Planck equations for stochastic dynamical systems with multiplicative $\alpha$-stable noises (2018) (0)
- On Relative Category and Morse Decompositions for Dynamical Systems (2019) (0)
- HETEROCLINIC POINTS OF MULTI-DIMENSIONAL DYNAMICAL SYSTEMS (2003) (0)
- A ug 2 01 9 Large deviations for stochastic systems of slow-fast diffusions with non-Gaussian Lévy noises ✩ (2019) (0)
- L noise-induced transitions in gene regulatory networks (2022) (0)
- Analysis of multiscale methods for stochastic dynamical systems driven by $\alpha$-stable processes (2020) (0)
- Homogenization Of A Nonlocal Stochastic Partial Differential Equation (2018) (0)
- Effective Approximation for a Stochastic System with Large Potential (2020) (0)
- WELL-POSEDNESS AND WAVE-BREAKING FOR THE STOCHASTIC ROTATION-TWO-COMPONENT CAMASSA-HOLM SYSTEM (2022) (0)
- Non-autonomous and stochastic dynamics of oceanic gravity currents (2005) (0)
- Geometric Methods for Stochastic Dynamical Systems (2018) (0)
- Pointwise convergence problem of some dispersive equations with random data (2020) (0)
- Report on the Workshop on “ Stochastic Dynamical Systems and Climate Modelling ” April 15-20 , 2007 , Banff International Research Station , Canada (2007) (0)
- N ov 2 01 8 Geometric Methods for Stochastic Dynamical Systems ∗ (2018) (0)
- Homogenization For Some Nonlocal Stochastic Partial Differential Equation (2018) (0)
- L\'{e}vy noise-induced transitions in gene regulatory networks (2017) (0)
- The persistence of synchronization under $\alpha$-stable noise (2019) (0)
- Multiscale schemes for stochastic dynamical systems driven by $\alpha$-stable processes (2020) (0)
- Stochastic Averaging Principles (2014) (0)
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- PREFACE (2016) (0)
- Fractional Differential Equations and Multifractality (2001) (0)
- Global Well-posedness of the Stochastic Kuramoto-Sivashinsky Equation with Multiplicative Noise (2011) (0)
- Extracting Governing Laws from Sample Path Data of Non-Gaussian Stochastic Dynamical Systems (2022) (0)
- Dispersion in flows with obstacles and uncertainty (2013) (0)
- Bohmian trajectories of the time-oscillating Schrödinger equations. (2021) (0)
- Averaging principle for multiscale stochastic dynamical systems driven by stable noises via Poisson equation (2020) (0)
- A pr 1 99 9 On the Stochastic Kuramoto-Sivashinsky Equation (1999) (0)
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- Effective characterization for stochastic differential equations with tempered stable L\'evy fluctuations (2018) (0)
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- Transition events in a genetic regulatory system under asymmetric stable L\'evy noise (2017) (0)
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- Lyapunov exponents for Hamiltonian systems under small Lévy-type perturbations. (2020) (0)
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- Lyapunov exponents of discontinuous random dynamical systems (2012) (0)
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- Linear Response Theory for Nonlinear Stochastic Differential Equations with $\alpha$-stable L\'{e}vy Noises (2020) (0)
- Quantifying Uncertainties in Complex Systems (2009) (0)
- Data for: Data-Cloning SMC2 for Applications to Latent Variable Models (2020) (0)
- Erratum: "Variational inference of the drift function for stochastic differential equations driven by Lévy processes" [Chaos 32, 061103 (2022)]. (2021) (0)
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- Pseudorandom Numbers for Conformal Measure (2009) (0)
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- M ay 2 00 1 Determining functionals for random partial differential equations (2001) (0)
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