Stanislav Alekseevich Molchanov

Stanislav Alekseevich Molchanov's AcademicInfluence.com Rankings

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Physics

Stanislav Alekseevich Molchanov's Degrees

PhD Physics Moscow Institute of Physics and Technology
Masters Physics Moscow Institute of Physics and Technology
Bachelors Physics Moscow Institute of Physics and Technology

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Stanislav Alekseevich Molchanov's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Localization at large disorder and at extreme energies: An elementary derivations (1993) (611)
Parabolic Anderson Problem and Intermittency (1994) (305)
DIFFUSION PROCESSES AND RIEMANNIAN GEOMETRY (1975) (275)
A pure point spectrum of the stochastic one-dimensional schrödinger operator (1977) (259)
Parabolic problems for the Anderson model (1998) (153)
Intermittency in random media (1987) (147)
Symmetric Stable Processes as Traces of Degenerate Diffusion Processes (1969) (141)
Kinematic dynamo problem in a linear velocity field (1984) (128)
Parabolic problems for the Anderson model (1990) (125)
Stratified structure of the Universe and Burgers' equation—a probabilistic approach (1994) (100)
Percolation theory and some applications (1988) (97)
Geometric characterization of intermittency in the parabolic Anderson model (2005) (77)
Limit theorems for sums of random exponentials (2005) (76)
Scattering Solutions in Networks of Thin Fibers: Small Diameter Asymptotics (2006) (75)
Kinematic dynamo in random flow (1985) (75)
Simplicity of Eigenvalues in the Anderson Model (2005) (72)
Hyperbolic asymptotics in Burgers' turbulence and extremal processes (1995) (70)
Almost sure asymptotics for the continuous parabolic Anderson model (2000) (67)
Ideas in the theory of random media (1991) (63)
Continuous Model for Homopolymers (2009) (60)
Stationary parabolic Anderson model and intermittency (1995) (60)
Explicit parametrix and local limit theorems for some degenerate diffusion processes (2008) (54)
Limiting eigenvalue distribution for band random matrices (1992) (51)
Lectures on probability theory (1994) (50)
Percolation in random fields. I (1983) (49)
On the level density of random band matrices (1991) (45)
First KdV Integrals¶and Absolutely Continuous Spectrum¶for 1-D Schrödinger Operator (2001) (44)
Intermittency, diffusion and generation in a nonstationary random medium (2014) (42)
Asymptotics for the almost sure lyapunov exponent for the solution of the parabolic Anderson problem (2002) (42)
Transition from the annealed to the quenched asymptotics for a random walk on random obstacles (2005) (41)
On the propagation properties of surface waves (1998) (33)
A dynamo theorem (1984) (33)
Mean magnetic field in renovating random flow (1984) (32)
ON THE SURFACE SPECTRUM IN DIMENSION TWO (1998) (32)
On General Cwikel–Lieb–Rozenblum and Lieb–Thirring Inequalities (2008) (32)
Heirarchical random matrices and operators. Application to Anderson model (1996) (32)
Asymptotical Normality of a Solution of Burgers’ Equation with Random Initial Data (1992) (31)
Localization of Surface Spectra (1999) (31)
Stochastic models in geosystems (1996) (31)
One-dimensional Schrödinger operator with unbounded potential: The pure point spectrum (1990) (30)
Scattering on the system of the sparse bumps: multidimensional case (1998) (28)
Annealed Moment Lyapunov Exponents for a Branching Random Walk in a Homogeneous Random Branching Environment (2000) (28)
The large-scale structure of the universe and quasi-Voronoi tessellation of shock fronts in forced Burgers turbulence in $\bold R\sp {d}$ (1997) (27)
Percolation of level sets for two-dimensional random fields with lattice symmetry (1994) (25)
On the Spectrum of the Surface Maryland Model (1998) (25)
On Bounded Solutions of the Balanced Generalized Pantograph Equation (2007) (24)
Bargmann type estimates of the counting function for general Schrödinger operators (2012) (24)
Branching processes with lattice spatial dynamics and a finite set of particle generation centers (2012) (24)
Transition from a network of thin fibers to the quantum graph: an explicitly solvable model (2006) (23)
Quenched to annealed transition in the parabolic Anderson problem (2007) (22)
Structure of the spectrum of a lacunary-limit-periodic Schrödinger operator (1984) (22)
One-dimensional Schrodinger operator with high potential barrier (1992) (22)
On ground state of some non local Schrödinger operators (2017) (21)
On phase transitions and limit theorems for homopolymers (2007) (20)
Exact asymptotics in a mean field model with random potential (1990) (20)
Long Memory Shot Noises and Limit Theorems with Application to Burgers’ Equation (1993) (20)
Martin Boundaries for Invariant Markov Processes on a Solvable Group (1967) (20)
Soliton turbulence as a thermodynamic limit of stochastic soliton lattices (2000) (19)
On spectral asymptotics for domains with fractal boundaries (1997) (19)
On Martin Boundaries for the Direct Product of Markov Chains (1967) (18)
Spectral analysis of non-local Schrödinger operators (2016) (18)
Global limit theorems on the convergence of multidimensional random walks to stable processes (2014) (17)
Slowing down of the wave packets in quantum graphs (2005) (17)
The Parabolic Anderson Model with Long Range Basic Hamiltonian and Weibull Type Random Potential (2012) (16)
A solvable model for homopolymers and self-similarity near the critical point (2010) (16)
Structure of Population Inside Propagating Front (2013) (16)
Population structure inside the propagation front of a branching random walk with finitely many centers of particle generation (2012) (16)
Spectral theory of one-dimensional Schrödinger operators with strongly fluctuating potentials (1991) (16)
Transition asymptotics for reaction-diffusion in random media (2005) (16)
Intermittency for branching walks with heavy tails (2015) (15)
Spectral methods in the theory of differential-functional equations (1990) (14)
Stationary distributions in Kolmogorov-Petrovski- Piskunov-type models with an infinite number of particles (2017) (14)
Laplace Operator in Networks of Thin Fibers: Spectrum Near the Threshold (2007) (14)
Lyapunov Exponents and Distributions of Magnetic Fields in Dynamo Models (1994) (14)
Spectral dimension and Bohr's formula for Schrödinger operators on unbounded fractal spaces (2015) (13)
Large deviations for a symmetric branching random walk on a multidimensional lattice (2013) (13)
On bounded continuous solutions of the archetypal equation with rescaling (2014) (13)
RANDOM WALKS WITH HEAVY TAILS AND LIMIT THEOREMS FOR BRANCHING PROCESSES WITH MIGRATION AND IMMIGRATION (2012) (13)
LOCALIZATION FOR ONE DIMENSIONAL LONG RANGE RANDOM HAMILTONIANS (1999) (13)
Topics in statistical oceanography (1996) (13)
Strong Feller Property of Diffusion Processes on Smooth Manifolds (1968) (13)
Eigenvalue estimates for magnetic Schrödinger operators in domains (2007) (12)
Reaction-Diffusion Equations in the Random Media: Localization and Intermittency (1996) (12)
Slowdown of the wave packages in finite slabs of periodic medias (2004) (12)
On negative eigenvalues of low-dimensional Schr\"{o}dinger operators (2011) (11)
The effect of disorder on the wave propagation in one-dimensional periodic optical systems (2011) (11)
Spectrum of Multidimensional Schr√∂dinger Operators with Sparse Potentials (2000) (10)
Wave operators for the surface Maryland model (2000) (10)
Structure of the spectrum of the periodic Schrödinger operator on the Euclidean torus (1985) (10)
Limit laws for sums of products of exponentials ofiid random variables (2005) (10)
Resolvent bounds for jump generators (2018) (10)
Probability and mathematical physics : a volume in honor of Stanislav Molchanov (2007) (10)
A model of diffusion produced by a cellular surface flow (1997) (9)
The kinematic dynamo in a random flux. (1985) (9)
Schrödinger operators with matrix potentials. Transition from the absolutely continuous to the singular spectrum (2003) (9)
Limit theorems for the Green function of the lattice Laplacian under large deviations of the random walk (2012) (9)
Slowing down and reflection of waves in truncated periodic media (2005) (9)
On a Problem in the Theory of Diffusion Processes (1964) (9)
Analysis of the archetypal functional equation in the non-critical case (2014) (9)
Structure of the Particle Population for a Branching Random Walk with a Critical Reproduction Law (2019) (9)
Population model with immigration in continuous space (2019) (8)
Surface Stretching for Ornstein Uhlenbeck Velocity Fields (1997) (8)
On measuring nonlinear risk with scarce observations (2008) (8)
Short-correlated random flow as a fast dynamo (1987) (8)
Martin boundaries for the direct product of Markov processes (1970) (7)
Limit theorems for basic states of the anderson model (1992) (7)
A Linear Model of a Hydromagnetic Dynamo and Products of Random Matrices (1985) (7)
Percolation in random fields. II (1983) (7)
Mean-field models in the theory of random media. II (1989) (7)
Structure of spectrum edge for multidimensional Anderson model (1990) (7)
Parabolic Problems for the Anderson Model II . Structure of High Peaks and Lifshitz Tails (2016) (6)
Wave propagation in a one-dimensional randomly perturbed periodic medium (2007) (6)
Steady state and intermittency in the critical branching random walk with arbitrary total number of offspring (2018) (6)
On a class of random perturbations of the hierarchical Laplacian (2015) (6)
On the negative spectrum of the hierarchical Schrödinger operator (2012) (6)
Two Markov Models of the Spread of Rumors (2010) (6)
Population Dynamics with Moderate Tails of the Underlying Random Walk (2018) (6)
One Dimensional Random Walk in a Random Medium (1997) (6)
On Measuring Hedge Fund Risk (2008) (6)
Wave propagation in periodic networks of thin fibers (2009) (6)
Self-excitation of a nonlinear scalar field in a random medium. (1987) (6)
A Mean Field Approximation of the Bolker-Pacala Population Model (2013) (6)
Limit Theorems for Random Partitions (1983) (6)
Diffusion-limited reactions with correlated traps (1992) (6)
MULTISCALE AVERAGING FOR ODINARY DIFFERENTIAL EQUATIONS. APPLICATIONS TO THE SPECTRAL THEORY OF ONE-DIMENSIONAL SCHRÖDINGER OPERATOR WITH SPARSE POTENTIALS (1999) (5)
Population Processes with Immigration (2016) (5)
Limit theorems and phase transitions for two models of summation of i.i.d. random variables with a parameter@@@Limit theorems and phase transitions for two models of summation of i.i.d. random variables with a parameter (2014) (5)
Spatial Models of Population Processes (2016) (5)
On T. Kato's problem regarding bounded solutions of differential-functional equations (1990) (5)
Mean-field models in the theory of random media. I (1989) (5)
A multi-class extension of the mean field Bolker–Pacala population model (2016) (5)
Trap correlation influence on Brownian particle death. One-dimensional case (1991) (5)
Limit Theorems and Phase Transitions for Two Models of Summation of Independent Identically Distributed Random Variables with a Parameter (2015) (5)
Steady states of lattice population models with immigration (2018) (5)
Multiscale models of failure and percolation (1990) (5)
Stationary distribution of the value of the magnetic field in a random flow (1988) (5)
Global stability in a nonlocal reaction-diffusion equation (2017) (5)
Branching Random Walks with Immigration (2017) (4)
On Spectral Asymptotics for Domains with Fractal Boundaries of Cabbage Type (1998) (4)
Branching Random Walks with Immigration. Lyapunov Stability (2020) (4)
Propagation of Waves in Networks of Thin Fibers (2009) (4)
Phase Transition for the Spherical Hierarchical Model (2002) (4)
Limit theorems and phase transitions for two models of summation of iid random variables depending on parameters (2013) (4)
Diffusion processes on solvable groups of upper triangular 2×2 matrices and their approximation (2011) (3)
A relation between the positive and negative spectra of elliptic operators (2017) (3)
A note on the regularity of solutions of linear homological equations (2000) (3)
On ground state of non local Schrodinger operators (2016) (3)
Spectral theory of 1-D Schrödinger operators with unbounded potentials (2007) (3)
Non-random perturbations of the Anderson Hamiltonian (2010) (3)
On a concentration inequality for sums of independent isotropic vectors (2012) (3)
Spectrum of Multidimensional Schrödinger Operators with Sparse Potentials (2019) (2)
On mathematical foundation of the Brownian motor theory (2013) (2)
Localization and Intermittency : New Results (2010) (2)
Communications of the Moscow Mathematical Society: the Behaviour of the Trajectories of a Random Walk Close to a Maximum Point, and Limit Theorems on the Group of Affine Transformations on the Line (1978) (2)
Entropic Moments and Domains of Attraction on Countable Alphabets (2018) (2)
On the Benford's Empirical Law (2004) (2)
Branching Random Walks with Two Types of Particles on Multidimensional Lattices (2022) (2)
The Dickman–Goncharov distribution (2020) (2)
Infinite-scale percolation in a new type of branching diffusion process (1993) (2)
On Negative Spectrum of Schrödinger Type Operators (2009) (2)
Random Media at Saint-Flour (2012) (2)
Non-random perturbations of the Anderson Hamiltonian in the 1-D case (2012) (2)
On the Critical Behavior of a Homopolymers Model (2015) (2)
Probabilistic approach to a cell growth model (2018) (2)
The density flatness phenomenon (2019) (2)
On the Bohr formula for the one-dimensional Schrödinger operator with increasing potential (2005) (2)
Limit Laws for Random Exponentials (2003) (2)
On the critical behavior of a homopolymer model (2019) (2)
Anderson Parabolic Model for a Quasi-Stationary Medium (2007) (2)
Limit theorems for the alloy-type random energy model (2018) (2)
Percolation in random fields. III (1986) (2)
Lyapunov exponent of the random Schrödinger operator with short-range correlated noise potential (2011) (2)
Diffusion in an annihilating environment (2006) (2)
Limit laws for sums of random exponentials (2004) (2)
On decoupling of functions of normal vectors (2012) (1)
Point potential for the generator of a stable process (2014) (1)
Correlation effects in the trapping problem: general approach and rigorous results (2000) (1)
Cwikel and Quasi-Szegö Type Estimates for Random Operators (2008) (1)
Random matrices over Zp and testing of random number generators (RNG's) (2004) (1)
Asymptotic Problems in Probability Theory and the Theory of Random Media (1991) (1)
On the kernel of the covariance operator for Markov semigroups, I. (2016) (1)
Asymptotic behavior of the Lifshits "tails" for random one-dimensional systems (1988) (1)
Density behavior of spatial birth-and-death stochastic evolution of mutating genotypes under selection rates (2013) (1)
Phase transition asymptotics for random walks on a stationary random potential (2005) (1)
Divergent fourier series: Numerical experiments (1991) (1)
Generalized Quantum Statistics and Testing of Randomizers with and without Asymptotic Assumptions (2001) (1)
On the Intermittency of the Light Propagation in Disordered Optical Materials (2006) (1)
Wiener-Kolmogorov conception of the stochastic organization of nature (1997) (1)
On bounded continuous solutions of the archetypical functional equation with rescaling (2014) (1)
Homo- and hetero-polymers in the mean-field approximation. (2009) (1)
Cluster expansion of the resolvent for the Schrödinger operator on non-percolating graphs with applications to Simon–Spencer type theorems and localization (2017) (1)
Occupancy Numbers in Testing Random Number Generators (2002) (1)
Limit Theorems for Random Exponentials: The Bounded Support Case (2019) (1)
Hierarchical Schr\"{o}dinger-type operators: the case of potentials with local singularities (2020) (0)
Branching random walks with large deviations and a few sources of branching (2012) (0)
One Explicitly Solvable Model For The Galton-Watson Processes In the Random Environment. (2020) (0)
SP ] 4 M ar 2 01 6 Spectral analysis of non-local Schrödinger operators (2019) (0)
SP ] 1 3 Fe b 20 17 Spectral analysis of non-local Schrödinger operators (2021) (0)
Random string: an explicitly solvable model (2005) (0)
PR ] 1 M ar 2 01 6 Intermittency for branching walks with heavy tails (2018) (0)
Branching diffusion in the super-critical regime (2012) (0)
Some generalizations of Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities (2008) (0)
On the influence of random perturbations on the propagation of waves described by a periodic Schrödinger operator (2007) (0)
Absolutely continuous and pure point spectra of discrete operators with sparse potentials (2021) (0)
Resolvent bounds for jump generators and ground state asymptotics for nonlocal Schrödinger operators (2016) (0)
The Alloy Model : Phase Transitions and Diagrams For a Random Energy Model with Mixtures (2019) (0)
Structure of Population Inside Propagating Front (2013) (0)
Shubin The spectral theory and the index of elliptic operators with almost periodic coefficients (2018) (0)
Population structure inside the propagation front of a branching random walk with finitely many centers of particle generation (2012) (0)
Book Review: Geometric modeling in probability and statistics (2017) (0)
0 50 30 61 v 2 1 3 Se p 20 05 Simplicity of eigenvalues in the Anderson model (2008) (0)
Asymptotics for the boundary parabolic Anderson problem in a half space (2004) (0)
BOUNDARY THEORY FOR SUMS OF INDEPENDENT, IDENTICALLY DISTRIBUTED RANDOM VARIABLES. (1970) (0)
Non-stationary Lattice Anderson Model with Non-local Laplacian and Correlated White Noise (2023) (0)
Limit theorems and phase transitions for two models of summation of iid random variables depending on parameters (2013) (0)
The Propagating Front of the Particle Population in Branching Random Walks (2015) (0)
Wave transmission coefficients for one-dimensional random barriers (1989) (0)
An averaging principle for moment equations of branching diffusion processes with fast transformation rate (2009) (0)
Boris R. Vainberg (on his 80th birthday) (2018) (0)
Stability and Instability of Steady States for a Branching Random Walk (2020) (0)
On the spectrum of the hierarchical Schr\"{o}dinger type operators (2020) (0)
A Solvable Model for Homopolymers and the Critical Phenomena (2009) (0)
A problem by E. Landis and generic behavior of non-generic sets (2005) (0)
Bargmann type estimates of the counting function for general Schrödinger operators (2012) (0)
Structure of the Particle Population for a Branching Random Walk with a Critical Reproduction Law (2020) (0)
On the Surface Spectrum in Dimension Two 1 (2001) (0)
On decoupling of functions of normal vectors (2012) (0)
Fermi-Dirac generators and tests for randomness (2007) (0)
Lyapunov exponent of the random Schrödinger operator with short-range correlated noise potential (2013) (0)
Entropic Moments and Domains of Attraction on Countable Alphabets (2018) (0)
К юбилею А. А. Юшкевича@@@To the 80th birthday of A. A. Yushkevich (2011) (0)
Stanislav Molchanov Interview May 18, 1990 (1990) (0)
The Size of a Political Club (2014) (0)
News of Scientific Life On the 80th Birthday of A. A. Yushkevich (2012) (0)
Alexander Gordon (1887) (0)
Mean-field models in the theory of random media. III (1991) (0)
The localization problem for a random elastic continuum with dispersion (1991) (0)
Hierarchical Schrödinger Type Operators: The Case of Locally Bounded Potentials (2021) (0)
Stable Limit Laws for Reaction-Diffusion in Random Environment (2016) (0)
On the Simon-Spencer theorem (2008) (0)
Stanislav Alekseevich Molchanov (2021) (0)
On the spectrum of the hierarchical Schr\"{o}dinger operator (2018) (0)
CORRELATION EFFECTS IN THE TRAPPING PROBLEM: RIGOROUS RESULTS IN ONE DIMENSION (1994) (0)
Large deviations for a symmetric branching random walk on a multidimensional lattice (2013) (0)
Stable limit laws and structure of the scaling function for reaction-diffusion in random environment (2017) (0)
Obituary of Alexander Gordon. (2019) (0)
On the Near-Critical Behavior of Continuous Polymers (2020) (0)
Random Schrödinger operators with potentials having stationary increments (1999) (0)
The radius of a polymer at a near-critical temperature (2020) (0)
Large Deviations for Branching Random Walks (2012) (0)
Lieb-Thirring inequalities, Schr\"odinger operator, operators on groups, quantum graphs, Anderson model (2008) (0)
Estimation of parameters of a complex random set .1 (1986) (0)
Stability and Instability of Steady States for a Branching Random Walk (2019) (0)
Local structure of the spectrum of a one-dimensional random Schrödinger operator (1986) (0)
Branching processes with lattice spatial dynamics and a finite set of particle generation centers (2012) (0)
Negative spectra of elliptic operators (2012) (0)
Steady state for the subcritical contact branching random walk on the lattice with the arbitrary number of offspring and with immigration. (2018) (0)
Heavy tails and one-dimensional localization (2015) (0)
Approximation of random dynamical systems with discrete time by stochastic differential equations: I. Theory (2007) (0)
The Brownian motion on 𝐴𝑓𝑓(ℝ) and quasi-local theorems (2017) (0)
TRANSITION FROM THE ANNEALED TO THE QUENCHEDASYMPTOTICS FOR A RANDOM WALK ON RANDOMOBSTACLESG (2007) (0)
Negative eigenvalues of non-local Schr\"{o}dinger operators with sign-changing potentials (2022) (0)
Lifshits asymptotics for one-dimensional stochastic operators (1988) (0)
On a one-dimensional spin system (1975) (0)
Optimization of integral service networks (1994) (0)
Opening Workshop Full Programm 3-5 September 2014 , Moscow , Russia September (2014) (0)
Theorem of Furstenberg type for multiplicative stochastic integrals (2020) (0)
On the critical behavior of a homopolymer model (2019) (0)
Density behavior of spatial birth-and-death stochastic evolution of mutating genotypes under selection rates (2014) (0)
Two-parameter asymptotics of the Lyapunov exponent of the random Schrodinger operator (2011) (0)
Branching random walk in a random time-independent environment (2022) (0)
CORRELATION EFFECTS IN THE TRAPPING PROBLEEM: GENERAL APPROACH AND EXACT RESULTS (2000) (0)
A relation between the positive and negative spectra of elliptic operators (2017) (0)
Asymptotic behavior of some random fields (1985) (0)

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What Schools Are Affiliated With Stanislav Alekseevich Molchanov?

Stanislav Alekseevich Molchanov is affiliated with the following schools: