Yuri Kondratiev
Ukrainian mathematician
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Mathematics
Yuri Kondratiev's Degrees
- PhD Mathematics Taras Shevchenko National University of Kyiv
Why Is Yuri Kondratiev Influential?
(Suggest an Edit or Addition)According to Wikipedia, Yuri Kondratiev was a Ukrainian mathematician and a professor at the Bielefeld University in Germany. Kondratiev died on 5 September 2023, at the age of 69.His research interests included functional analysis, mathematical physics and stochastic calculus.Kondratiev was a member of the Kyiv school of functional analysis founded by M. Krein and led, for many years, by Y. Berezansky.His interests in mathematical physics were inspired by cooperation with the Moscow seminar in statistical Physics . Yuri's collaboration with A. Skorokhod has influenced most of his subsequent papers on stochastics.
Yuri Kondratiev's Published Works
Published Works
- Analysis and Geometry on Configuration Spaces (1998) (267)
- HARMONIC ANALYSIS ON CONFIGURATION SPACE I: GENERAL THEORY (2002) (167)
- Analysis and Geometry on Configuration Spaces: The Gibbsian Case☆ (1998) (160)
- Analysis and Geometry on Configuration Spaces: The Gibbsian Case☆ (1998) (160)
- Generalized Functionals in Gaussian Spaces: The Characterization Theorem Revisited☆ (1996) (130)
- Wick calculus in Gaussian analysis (1996) (107)
- Analysis on Poisson and Gamma spaces (1999) (96)
- Non-Gaussian Infinite Dimensional Analysis (1996) (91)
- CORRELATION FUNCTIONS AND INVARIANT MEASURES IN CONTINUOUS CONTACT MODEL (2008) (89)
- Dirichlet Operators via Stochastic Analysis (1995) (87)
- Semigroup approach to birth-and-death stochastic dynamics in continuum (2011) (83)
- Individual Based Model with Competition in Spatial Ecology (2008) (78)
- Markov evolutions and hierarchical equations in the continuum. I: one-component systems (2007) (75)
- A general mathematical framework for the analysis of spatiotemporal point processes (2013) (70)
- Glauber dynamics of continuous particle systems (2003) (65)
- ON CONTACT PROCESSES IN CONTINUUM (2006) (63)
- Differential geometry of Poisson spaces (1996) (63)
- On the metrical properties of the configuration space (2006) (60)
- Generalized Appell Systems (1999) (60)
- Operators of Gamma White Noise Calculus (2000) (55)
- Generalized functions in infinite dimensional analysis (1998) (54)
- On non-equilibrium stochastic dynamics for interacting particle systems in continuum (2008) (54)
- Vlasov Scaling for Stochastic Dynamics of Continuous Systems (2010) (50)
- Ergodicity ofL2-Semigroups and Extremality of Gibbs States☆ (1997) (50)
- Ergodicity for the Stochastic Dynamics of Quasi-invariant Measures with Applications to Gibbs States☆ (1997) (49)
- The Statistical Mechanics of Quantum Lattice Systems: A Path Integral Approach (2009) (45)
- Uniqueness of Gibbs states for quantum lattice systems (1997) (45)
- The statistical dynamics of a spatial logistic model and the related kinetic equation (2014) (43)
- DIFFEOMORPHISM GROUPS AND CURRENT ALGEBRAS: CONFIGURATION SPACE ANALYSIS IN QUANTUM THEORY (1999) (41)
- Growth Equation of the General Fractional Calculus (2019) (38)
- Nonequilibrium Glauber-type dynamics in continuum (2006) (38)
- WHITE NOISE DISTRIBUTION THEORY (Probability and Stochastics Series) (2000) (36)
- Equilibrium Kawasaki dynamics of continuous particle systems (2005) (36)
- Canonical dirichlet operator and distorted brownian motion on Poisson spaces (1996) (36)
- Holomorphic Bogoliubov functionals for interacting particle systems in continuum (2006) (34)
- Uniqueness of the Stochastic Dynamics for Continuous Spin Systems on a Lattice (1995) (33)
- REGULAR GENERALIZED FUNCTIONS IN GAUSSIAN ANALYSIS (1999) (32)
- The Evolution of States in a Spatial Population Model (2018) (31)
- One-Particle Subspace of the Glauber Dynamics Generator for Continuous Particle Systems (2004) (30)
- Fractional kinetic hierarchies and intermittency (2016) (30)
- Kawasaki Dynamics in Continuum: Micro- and Mesoscopic Descriptions (2011) (30)
- Suppression of Critical Fluctuations by Strong Quantum Effects in Quantum Lattice System (1998) (29)
- EUCLIDEAN GIBBS STATES OF QUANTUM LATTICE SYSTEMS (2002) (28)
- Laplace operators on the cone of Radon measures (2015) (27)
- One-particle subspaces in the stochasticXY model (1997) (26)
- Dobrushin's Uniqueness for Quantum Lattice Systems with Nonlocal Interaction (1997) (26)
- Non-equilibrium stochastic dynamics in continuum: The free case (2007) (26)
- Marked Gibbs measures via cluster expansion (1999) (25)
- Analytic aspects of Poissonian white noise analysis (2002) (25)
- GIBBS MEASURES OF CONTINUOUS SYSTEMS: AN ANALYTIC APPROACH (2012) (25)
- An approximative approach for construction of the Glauber dynamics in continuum (2009) (24)
- GLAUBER DYNAMICS FOR QUANTUM LATTICE SYSTEMS (2001) (24)
- On the relations between Poissonian white noise analysis and harmonic analysis on configuration spaces (2004) (24)
- On a spectral representation for correlation measures in configuration space analysis (2006) (24)
- A Priori Estimates for Symmetrizing Measures and Their Applications to Gibbs States (2000) (22)
- Glauber Dynamics in Continuum: A Constructive Approach to Evolution of States (2011) (21)
- On ground state of some non local Schrödinger operators (2017) (21)
- ON RELATIONS BETWEEN A PRIORI BOUNDS FOR MEASURES ON CONFIGURATION SPACES (2004) (20)
- Vlasov scaling for the Glauber dynamics in continuum (2010) (20)
- N/V-limit for stochastic dynamics in continuous particle systems (2005) (20)
- Glauber Dynamics in the Continuum via Generating Functionals Evolution (2011) (19)
- Small Mass Implies Uniqueness of Gibbs States of a Quantum Crystal (2003) (19)
- Stochastic Analysis on Product Manifolds: Dirichlet Operators on Differential Forms (2000) (19)
- Gibbs states over the cone of discrete measures (2012) (19)
- Spectral analysis of non-local Schrödinger operators (2016) (18)
- Equilibrium Glauber dynamics of continuous particle systems as a scaling limit of Kawasaki dynamics (2006) (18)
- A Quasispecies Continuous Contact Model in a Critical Regime (2016) (18)
- Complex Gaussian Analysis and the Bargmann-Segal Space (2007) (18)
- Gibbs Random Fields with Unbounded Spins on Unbounded Degree Graphs (2009) (17)
- Stochastic dynamics for quantum lattice systems and stochastic quantization I: Ergodicity. (1994) (17)
- Wick calculus for regular generalized stochastic functionals (1999) (17)
- Quantum stabilization in anharmonic crystals. (2003) (16)
- ANALYSIS AND GEOMETRY ON MARKED CONFIGURATION SPACES (2006) (16)
- Traveling waves and long-time behavior in a doubly nonlocal Fisher-KPP equation (2015) (16)
- Infinite interacting diffusion particles I: Equilibrium process and its scaling limit (2003) (16)
- Uniqueness for Gibbs measures of quantum lattices in small mass regime (2001) (15)
- Statistical dynamics of continuous systems: perturbative and approximative approaches (2014) (15)
- Correlation functions evolution for the Glauber dynamics in continuum (2011) (15)
- Markov evolutions and hierarchical equations in the continuum. II: Multicomponent systems (2011) (14)
- The Heat Semigroup on Configuration Spaces (2002) (14)
- Operator approach to Vlasov scaling for some models of spatial ecology (2011) (14)
- Dynamical Widom–Rowlinson Model and Its Mesoscopic Limit (2014) (14)
- Euclidean Gibbs measures on loop lattices: Existence and a priori estimates (2004) (14)
- On fractal properties of non-normal numbers with respect to Rényi f-expansions generated by piecewise linear functions (2014) (13)
- Regulation Mechanisms in Spatial Stochastic Development Models (2008) (13)
- Euclidean Gibbs States of Quantum Crystals (2001) (13)
- Establishment and Fecundity in Spatial Ecological Models: Statistical Approach and Kinetic Equations (2011) (13)
- Scaling limit of stochastic dynamics in classical continuous systems (2002) (13)
- On an aggregation in birth-and-death stochastic dynamics (2013) (13)
- Differential Geometry on Compound Poisson Space (1999) (13)
- Accelerated front propagation for monostable equations with nonlocal diffusion: multidimensional case (2016) (12)
- Absence of Critical Points for a Class of Quantum Hierarchical Models (1997) (12)
- Random Time Change and Related Evolution Equations (2019) (12)
- Diffusion approximation for equilibrium Kawasaki dynamics in continuum (2007) (12)
- Gibbs states on random configurations (2013) (12)
- A Phase Transition in a Quenched Amorphous Ferromagnet (2013) (11)
- Small-Mass Behavior of Quantum Gibbs States for Lattice Models with Unbounded Spins (1998) (11)
- From random times to fractional kinetics (2018) (11)
- Non-Gaussian analysis and hypergroups (1995) (11)
- Laplace operators in deRham complexes associated with measures on configuration spaces (2001) (11)
- Stochastic evolution of a continuum particle system with dispersal and competition (2012) (11)
- A mathematical framework for the analysis of spatial-temporal point processes (2013) (11)
- Resolvent bounds for jump generators (2018) (10)
- Hydrodynamic limits for the free Kawasaki dynamics of continuous particle systems (2009) (10)
- Ergodicity of non-equilibrium Glauber dynamics in continuum (2010) (10)
- Evolution of states in a continuum migration model (2016) (10)
- Classical Limits of Euclidean Gibbs States for Quantum Lattice Models (1998) (10)
- Doubly nonlocal Fisher–KPP equation: Speeds and uniqueness of traveling waves (2018) (10)
- A-priori estimates and existence of Gibbs measures: a simplified proof (1999) (9)
- Gibbs Measures of Disordered Lattice Systems with Unbounded Spins (2010) (9)
- On new fractal phenomena connected with infinite linear IFS (2015) (9)
- Random time change and related evolution equations. Time asymptotic behavior (2019) (9)
- Doubly nonlocal Fisher–KPP equation: front propagation (2018) (8)
- Existence and A Priori Estimates for Euclidean Gibbs States (2006) (8)
- Phase transitions in continuum ferromagnets with unbounded spins (2015) (8)
- Scaling limits for the solution of wick type Burgers equation (2000) (7)
- Infinite Dimensional Diffusions, Markov Fields, Quantum Fields and Stochastic Quantization (1994) (7)
- Phase Transitions and Quantum Stabilization in Quantum Anharmonic Crystals (2007) (7)
- Self-regulation in the Bolker-Pacala model (2017) (7)
- Quantum Stabilization and Decay of Correlations in Anharmonic Crystals (2003) (7)
- Ground state euclidean measures for quantum lattice systems on compact manifolds (2000) (7)
- Remark on norm estimate for distribution of white noise (1992) (7)
- De Rham complex over product manifolds: Dirichlet forms and stochastic dynamics (2000) (7)
- Gibbs states on loop lattices: existence and a priori estimates (2001) (7)
- Uniqueness Problem for Quantum Lattice Systems with Compact Spins (2000) (7)
- GAUSS FORMULA AND SYMMETRIC EXTENSIONS OF THE LAPLACIAN ON CONFIGURATION SPACES (2001) (7)
- Wick Calculus for Regular Generalized Functions (1998) (7)
- Gibbs states of continuum particle systems with unbounded spins: Existence and uniqueness (2018) (7)
- Equilibrium Glauber and Kawasaki dynamics of continuous particle systems (2005) (6)
- SELF-ORGANIZING BIRTH-AND-DEATH STOCHASTIC SYSTEMS IN CONTINUUM (2008) (6)
- Uniqueness of Gibbs states on loop lattices (1997) (6)
- Green Measures for Time Changed Markov Processes (2020) (6)
- Gibbs states of a quantum crystal: uniqueness by small particle mass (2002) (6)
- Uniqueness of diffusion generators for two types of particle systems with singular interactions (2004) (6)
- Stochastic dynamics for an infinite system of random closed strings: A Gibbsian point of view (1996) (6)
- Markov Jump Dynamics with Additive Intensities in Continuum: State Evolution and Mesoscopic Scaling (2015) (6)
- Equilibrium Diffusion on the Cone of Discrete Radon Measures (2015) (6)
- An infinite dimensional umbral calculus (2017) (6)
- Doubly nonlocal Fisher-KPP equation: Existence and properties of traveling waves (2018) (6)
- Construction of a state evolution for Kawasaki dynamics in continuum (2013) (6)
- Laplace operators in gamma analysis (2014) (6)
- Stochastic Averaging Principle for Spatial Birth-and-Death Evolutions in the Continuum (2017) (6)
- Mathematical physics and stochastic analysis : essays in honour of ludwig streit (2000) (6)
- Generalized Functions in Innnite Dimensional Analysis (1995) (5)
- Lattice Birth-and-Death Processes (2015) (5)
- Limit theorems for additive functionals of continuous time random walks (2019) (5)
- DIRICHLET OPERATORS AND GIBBS MEASURES (1994) (5)
- Global stability in a nonlocal reaction-diffusion equation (2017) (5)
- Binary jumps in continuum. II. Non-equilibrium process and a Vlasov-type scaling limit (2011) (5)
- Selection-mutation balance models with epistatic selection (2008) (5)
- Markov Evolution of Continuum Particle Systems with Dispersion and Competition (2011) (5)
- A stochastic differential equation approach to some lattice models on compact Lie groups (1996) (5)
- Stirling operators in spatial combinatorics (2020) (5)
- PHASE TRANSITIONS AND QUANTUM EFFECTS IN ANHARMONIC CRYSTALS (2011) (4)
- Weak-coupling limit for ergodic environments (2019) (4)
- Reflection Positivity and Phase Transitions (2006) (4)
- FLUCTUATIONS AND THEIR GLAUBER DYNAMICS IN LATTICE SYSTEMS (1999) (4)
- Kawasaki dynamics in the continuum via generating functionals evolution (2011) (4)
- Critical Properties of a Quantum Hierarchical Model (1997) (4)
- Stochastic equations and dirichlet operators on infinite product manifolds (2003) (4)
- Cesaro Limits for Fractional Dynamics (2021) (3)
- Symmetrizing Measures for Infinite Dimensional Diffusions: An Analytic Approach (2003) (3)
- Binary jumps in continuum. I. Equilibrium processes and their scaling limits (2011) (3)
- Invariant measures for spatial contact model in small dimensions (2018) (3)
- Spectral Analysis of a Stochastic Ising Model in Continuum (2007) (3)
- A Remark on Stochastic Dynamics on the Infinite-Dimensional Torus (1995) (3)
- On diffusion dynamics for continuous systems with singular superstable interaction (2004) (3)
- Stochastic Dynamics of Compact Spins: Ergodicity and Irreducibility (2000) (3)
- Spectral gap for Glauber type dynamics for a special class of potentials (2011) (3)
- On spatial mutation-selection models (2013) (3)
- Uniqueness of Gibbs states on loop latticesS (1997) (3)
- On ground state of non local Schrodinger operators (2016) (3)
- Stochastic equations and Dirichlet operators on product manifolds (2003) (3)
- Euclidean Gibbs States for Quantum Continuous Systems with Boltzmann Statistics via Cluster Expansion (1997) (3)
- Gibbs Fields: Uniqueness and Decay of Correlations. Revisiting Dobrushin and Pechersky (2015) (2)
- Self-regulation in continuum population models (2017) (2)
- Fractional statistical dynamics and fractional kinetics (2016) (2)
- Euclidean Gibbs Measures of Quantum Crystals: Existence, Uniqueness and a Priori Estimates (2005) (2)
- Gibbs Measures on Marked Configuration Spaces: Existence and Uniqueness (2015) (2)
- Random Time Dynamical Systems I: General Structures (2020) (2)
- A moment problem for random discrete measures (2013) (2)
- Random Time Dynamical Systems (2021) (2)
- Invariant measures for Glauber dynamics of continuous systems (2003) (2)
- Scattering Problem for Local Perturbations\newline of the Free Quantum Gas (1999) (2)
- Fecundity regulation in a spatial birth-and-death process (2019) (2)
- The semigroup of the Glauber dynamics of a continuous system of free particles (2004) (2)
- Perpetual integral functionals of multidimensional stochastic processes (2020) (2)
- On Fractional Heat Equation (2021) (1)
- Stochastic analysis on (infinite-dimensional) product manifolds (1999) (1)
- Some examples of Dirichlet operators associated with the actions of infinite dimensional Lie groups (1998) (1)
- Establishment and Fecundity in Spatial Ecological Models: Functional Evolutions (2011) (1)
- Applied philosophy in mathematics (2020) (1)
- Markov process of muscle motors (2007) (1)
- Markov Dynamics in a Spatial Ecological Model with Dispersion and Competition (2011) (1)
- Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces (2008) (1)
- FRACTIONAL KINETICS IN A SPATIAL ECOLOGY MODEL (2018) (1)
- Fractional approximation of solutions of evolution equations (2015) (1)
- Stochastic modeling of complex systems (2012) (1)
- Evolution of observables and quasiobservables in classical statistical mechanics (2000) (1)
- THE MICROSCOPIC DYNAMICS OF A SPATIAL ECOLOGICAL MODEL (2015) (1)
- Random potentials for Markov processes (2020) (1)
- Operators of Gamma white noise analysis (2006) (1)
- Density behavior of spatial birth-and-death stochastic evolution of mutating genotypes under selection rates (2013) (1)
- A Hierarchical Model of Quantum Anharmonic Oscillators: Critical Point Convergence (2004) (1)
- On convergence of dynamics of hopping particles to a birth-and-death process in continuum (2008) (1)
- Markov dynamics on the cone of discrete Radon measures (2021) (1)
- Spatial combinatorics (2020) (1)
- Asymptotics of fundamental solutions for time fractional equations with convolution kernels (2019) (1)
- Representations of the infinite-dimensional p-adic affine group (2019) (1)
- Bernstein theorems and transformations of correlation measures in statistical physics (2006) (1)
- The free Kawasaki dynamics of continuous particle systems in infinite volume (2023) (0)
- Stochastic Dynamics of Fluctuations in Classical Continuous Systems (2001) (0)
- Random Times for Markov Processes with Killing (2021) (0)
- Stochastic Dynamics of Fluctuations in Classical Continuous Systems (2001) (0)
- 9th International Conference on Stochastic Analysis and its Applications (2018) (0)
- Uniqueness for Gibbs States of QuantumLattices in Small Mass (1998) (0)
- Correlation functions evolution for the Glauber dynamics in continuum (2012) (0)
- Evolution of states in a continuum migration model (2017) (0)
- Dynamical Widom – Rowlinson Model and Its Mesoscopic (2014) (0)
- Statistical dynamics of continuous systems: perturbative and approximative approaches (2014) (0)
- Stochastic averaging for a spatial population model in random environment (2017) (0)
- Philosophy of Natural Numbers (2020) (0)
- Construction of a state evolution for Kawasaki dynamics in continuum (2012) (0)
- Diffusion Approximation for Transport Equations with Dissipative Drifts for Time Dependent Coefficients (2022) (0)
- Infinite-Dimensional Differential Operators in the Models of Quantum Statistical Physics and Field Theory (1995) (0)
- Sheffer homeomorphisms of spaces of entire functions in infinite dimensional analysis (2018) (0)
- Gibbs states of lattice spin systems with unbounded disorder (2010) (0)
- Ju l 2 01 9 LIMIT THEOREMS FOR ADDITIVE FUNCTIONALS OF CONTINUOUS TIME RANDOM WALKS (0)
- Kawasaki Dynamics in Continuum: Micro- and Mesoscopic Descriptions (2013) (0)
- Ergodicity for the stochastic dynamics ofquasi { invariant measures with applications toGibbs (1997) (0)
- Cantor series expansions and packing dimension faithfulness (2015) (0)
- Heat Kernel Estimates for Fractional Heat Equation (2019) (0)
- Three infinities of Cusanus (2021) (0)
- Stochastic Averaging Principle for Spatial Birth-and-Death Evolutions in the Continuum (2018) (0)
- Markov evolutions in spatial ecology: From microscopic dynamics to kinetics (2019) (0)
- Correction to: Evolution of states in a continuum migration model (2019) (0)
- Partial Differential Equations (2019) (0)
- Random zeros entire functions (2022) (0)
- Markov Jump Dynamics with Additive Intensities in Continuum : State Evolution and Vlasov Scaling (2012) (0)
- A general mathematical framework for the analysis of spatiotemporal point processes (2013) (0)
- A Phase Transition in a Quenched Amorphous Ferromagnet (2014) (0)
- PR ] 1 J ul 2 01 9 LIMIT THEOREMS FOR ADDITIVE FUNCTIONALS OF CONTINUOUS TIME RANDOM WALKS (0)
- Generalized Functions of Infinitely Many Variables. Gaussian Measures (1995) (0)
- Compound Poisson Processes: Potentials, Green Measures and Random Times (2022) (0)
- T ime dependent ecological model (2022) (0)
- A stochastic differential equation approach to lattice spin models with values in compact Lie groups (1996) (0)
- The Evolution of States in a Spatial Population Model (2016) (0)
- Resolvent bounds for jump generators and ground state asymptotics for nonlocal Schrödinger operators (2016) (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)
- Correction to: Evolution of states in a continuum migration model (2018) (0)
- From time to times (2022) (0)
- PR ] 2 0 Ju l 2 01 9 LIMIT THEOREMS FOR ADDITIVE FUNCTIONALS OF CONTINUOUS TIME RANDOM WALKS (0)
- AUTOMORPHISMS GENERATED BY UMBRAL CALCULUS ON A NUCLEAR SPACE OF ENTIRE TEST FUNCTIONS (2018) (0)
- From time to times (2022) (0)
- Classical gases with singular densities (2022) (0)
- Application of the Theory of Expansions to Harmonic Analysis (1995) (0)
- Dynamical Widom–Rowlinson Model and Its Mesoscopic Limit (2014) (0)
- Stochastic averaging principle for spatial Markov evolutions in the continuum (2018) (0)
- Fractional contact model in the continuum (2014) (0)
- Equilibrium Diffusion on the Cone of Discrete Radon Measures (2015) (0)
- Ground states for nonlocal Schrödinger type operators on locally compact abelian groups (2018) (0)
- A Quasispecies Continuous Contact Model in a Critical Regime (2016) (0)
- A-priori Estimates and Existence for Quantum Gibbs States (2005) (0)
- Non-equilibrium stochastic dynamics of continuous systems and Bogoliubov generating functionals (2005) (0)
- Stochastic evolution of a continuum particle system with dispersal and competition (2013) (0)
- One class of continuous functions related to Engel series and having complicated local properties (2020) (0)
- Glauber Dynamics in the Continuum via Generating Functionals Evolution (2011) (0)
- Asymptotic Behavior of the Subordinated Traveling Waves (2020) (0)
- Euclidean Gibbs States of Quantum Lattice Systems Contents 1. Introduction 2 2. Euclidean Formalism for Quantum Gibbs States 6 2.1. Local Gibbs States 6 2.2. Basic Gaussian Measure 11 2.3. Euclidean Gibbs States 17 (2002) (0)
- Representations by Commuting Operators (1995) (0)
- Markov Jump Dynamics with Additive Intensities in Continuum: State Evolution and Mesoscopic Scaling (2015) (0)
- Representations of the Infinite-Dimensional Affine Group (2020) (0)
- Asymptotic behaviour and functional limit theorems for a time changed Wiener process (2020) (0)
- Random Jumps in Evolving Random Environment (2008) (0)
- Infinite-Dimensional Elliptic Differential operators of the Second Order (1995) (0)
- ANALYSIS AND GEOMETRY ON CONFIGURATION SPACES: THEORY AND APPLICATIONS INVITED LECTURES IN LUBLIN (2010) (0)
- Wick Calculus for Regular Generalized Functions Wick Calculus for Regular Generalized Functions (1998) (0)
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