Edit Profile (opens in new tab) Kurtz, Thomas Gordon Co-Author Distance Author ID: kurtz.thomas-gordon Published as: Kurtz, Thomas G.; Kurtz, T. G.; Kurtz, Thomas; Kurtz, Thomas Gordon; Kurtz, Th. G.; Kurtz, T. more...less Homepage: http://www.math.wisc.edu/~kurtz/ External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr Documents Indexed: 117 Publications since 1969, including 5 Books and 4 Additional arXiv Preprints 1 Contribution as Editor Biographic References: 1 Publication Co-Authors: 66 Co-Authors with 79 Joint Publications 1,946 Co-Co-Authors all top 5 Co-Authors 39 single-authored 8 Ethier, Stewart N. 8 Protter, Philip Elliott 7 Donnelly, Peter 6 Costantini, Cristina 5 Anderson, David Frederick 4 Xiong, Jie 3 Crisan, Dan O. 3 Stockbridge, Richard H. 2 Bucklew, James Antonio 2 Cappelletti, Daniele 2 Etheridge, Alison Mary 2 Garcia, Nancy L. 2 Joyce, Paul 2 Kang, Hye-Won 2 Krone, Stephen M. 2 Kuelbs, James D. 2 Manber, Udi 2 Méléard, Sylvie 2 Ocone, Daniel L. 2 Popovic, Lea 2 Swanson, Jason 1 Asmussen, Søren 1 Athreya, Krishna Balasundaram 1 Ball, Karen 1 Bansaye, Vincent 1 Certain, Melinda W. 1 Craciun, Gheorghe 1 Dai, J. G. (Jim) 1 Dawson, Donald Andrew 1 Evans, Steven Neil 1 Feng, Jin 1 Fleischmann, Klaus 1 Ganguly, Arnab 1 Graham, Carl 1 Hunt, P. J. 1 Jacod, Jean 1 Janjigian, Christopher 1 Kotelenez, Peter M. 1 Kouritzin, Michael A. 1 Koyama, Masanori 1 Lebensztayn, Élcio 1 Lee, Yoonjung 1 Leichsenring, Alexandre R. 1 Letter, Ian 1 Lung, Terence Tsui Ho 1 Lyons, Russell 1 Machado, Fábio Prates 1 Marchetti, Federico 1 Marjoram, Paul 1 Nappo, Giovanna 1 Ortiz-Latorre, Salvador 1 Pardoux, Etienne 1 Pemantle, Robin 1 Peres, Yuval 1 Pierre, Michel 1 Pulvirenti, Mario 1 Ralph, Peter L. 1 Rempała, Grzegorz A. 1 Rodrigues, Eliane Regina 1 Sethares, William A. 1 Simatos, Florian 1 Talay, Denis 1 Tavaré, Simon 1 Wainger, Stephen 1 Zhou, Xiaowen 1 Zinn, Joel all top 5 Serials 18 The Annals of Probability 9 The Annals of Applied Probability 7 Electronic Journal of Probability 6 Stochastic Processes and their Applications 4 Annals of Mathematical Statistics 3 Journal of Applied Probability 3 Journal of Functional Analysis 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Electronic Communications in Probability 2 Advances in Applied Probability 2 Bulletin of Mathematical Biology 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Control and Optimization 2 Transactions of the American Mathematical Society 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Houston Journal of Mathematics 1 IEEE Transactions on Information Theory 1 Journal of Differential Equations 1 Mathematics of Operations Research 1 Theoretical Computer Science 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Probability Theory and Related Fields 1 IEEE Transactions on Signal Processing 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Mathematical Analysis 1 SIAM Journal on Applied Dynamical Systems 1 Communications in Mathematical Sciences 1 Bulletin of the International Statistical Institute 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Lecture Notes in Mathematics 1 Mathematical Surveys and Monographs 1 Mathematical Biosciences Institute Lecture Series. Stochastics in Biological Systems 1 Wiley Series in Probability and Statistics 1 Wiley Series in Probability and Mathematical Statistics all top 5 Fields 104 Probability theory and stochastic processes (60-XX) 25 Biology and other natural sciences (92-XX) 12 Systems theory; control (93-XX) 11 Operator theory (47-XX) 7 Ordinary differential equations (34-XX) 5 Statistics (62-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Computer science (68-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Partial differential equations (35-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 106 Publications have been cited 5,735 times in 4,166 Documents Cited by ▼ Year ▼ Markov processes. Characterization and convergence. Zbl 0592.60049 Ethier, Stewart N.; Kurtz, Thomas G. 1,921 1986 Solutions of ordinary differential equations as limits of pure jump Markov processes. Zbl 0191.47301 Kurtz, T. G. 257 1970 Weak limit theorems for stochastic integrals and stochastic differential equations. Zbl 0742.60053 Kurtz, Thomas G.; Protter, Philip 254 1991 Markov processes. Characterization and convergence. Zbl 1089.60005 Ethier, Stewart N.; Kurtz, Thomas G. 249 2005 Limit theorems for sequences of jump Markov processes approximating ordinary differential processes. Zbl 0219.60060 Kurtz, T. G. 199 1971 Large deviations for stochastic processes. Zbl 1113.60002 Feng, Jin; Kurtz, Thomas G. 183 2006 Strong approximation theorems for density dependent Markov chains. Zbl 0373.60085 Kurtz, Thomas G. 157 1978 Approximation of population processes. Zbl 0465.60078 Kurtz, Thomas G. 137 1981 Particle representations for measure-valued population models. Zbl 0956.60081 Donnelly, Peter; Kurtz, Thomas G. 96 1999 Fleming-Viot processes in population genetics. Zbl 0774.60045 Ethier, S. N.; Kurtz, Thomas G. 88 1993 A limit theorem for perturbed operator semigroups with applications to random evolutions. Zbl 0246.47053 Kurtz, Thomas G. 88 1973 Stochastic analysis of biochemical systems. Zbl 1402.92004 Anderson, David F.; Kurtz, Thomas G. 81 2015 Product-form stationary distributions for deficiency zero chemical reaction networks. Zbl 1201.92069 Anderson, David F.; Craciun, Gheorghe; Kurtz, Thomas G. 81 2010 Asymptotic analysis of multiscale approximations to reaction networks. Zbl 1118.92031 Ball, Karen; Kurtz, Thomas G.; Popovic, Lea; Rempala, Greg 76 2006 Extensions of Trotter’s operator semigroup approximation theorems. Zbl 0174.18401 Kurtz, T. G. 74 1969 Particle representations for a class of nonlinear SPDEs. Zbl 0996.60071 Kurtz, Thomas G.; Xiong, Jie 72 1999 Semigroups of conditioned shifts and approximation of Markov processes. Zbl 0318.60026 Kurtz, Thomas G. 68 1975 Wong-Zakai corrections, random evolutions, and simulation schemes for SDE’s. Zbl 0762.60047 Kurtz, Thomas G.; Protter, Philip 62 1991 Separation of time-scales and model reduction for stochastic reaction networks. Zbl 1377.60076 Kang, Hye-Won; Kurtz, Thomas G. 59 2013 A countable representation of the Fleming-Viot measure-valued diffusion. Zbl 0869.60074 Donnelly, Peter; Kurtz, Thomas G. 58 1996 The Yamada-Watanabe-Engelbert theorem for general stochastic equations and inequalities. Zbl 1157.60068 Kurtz, Thomas G. 57 2007 Equivalence of stochastic equations and martingale problems. Zbl 1236.60073 Kurtz, Thomas G. 56 2011 Existence of Markov controls and characterization of optimal Markov controls. Zbl 0935.93064 Kurtz, Thomas G.; Stockbridge, Richard H. 55 1998 Unique characterization of conditional distributions in nonlinear filtering. Zbl 0655.60035 Kurtz, T. G.; Ocone, Daniel L. 54 1988 Genealogical processes for Fleming-Viot models with selection and recombination. Zbl 0964.60075 Donnelly, Peter; Kurtz, Thomas G. 52 1999 The approximate Euler method for Lévy driven stochastic differential equations. Zbl 1071.60046 Jacod, Jean; Kurtz, Thomas G.; Méléard, Sylvie; Protter, Philip 51 2005 Stratonovich stochastic differential equations driven by general semimartingales. Zbl 0823.60046 Kurtz, Thomas G.; Pardoux, Étienne; Protter, Philip 44 1995 The infinitely-many-neutral-alleles diffusion model. Zbl 0483.60076 Ethier, S. N.; Kurtz, Thomas G. 43 1981 Berry-Esseen estimates in Hilbert space and an application to the law of the iterated logarithm. Zbl 0298.60017 Kuelbs, J.; Kurtz, T. 42 1974 A conceptual proof of the Kesten-Stigum theorem for multi-type branching processes. Zbl 0868.60068 Kurtz, Thomas; Lyons, Russell; Pemantle, Robin; Peres, Yuval 42 1997 Convergence of sequences of semigroups of nonlinear operators with an application to gas kinetics. Zbl 0275.47047 Kurtz, Thomas G. 41 1974 Martingale problems for conditional distributions of Markov processes. Zbl 0907.60065 Kurtz, Thomas G. 40 1998 Random time changes and convergence in distribution under the Meyer-Zheng conditions. Zbl 0742.60036 Kurtz, Thomas G. 40 1991 Weak and strong solutions of general stochastic models. Zbl 1301.60035 Kurtz, Thomas G. 40 2014 Weak convergence of stochastic integrals and differential equations. I. Zbl 0862.60041 Kurtz, Thomas G.; Protter, Philip E. 36 1996 Error analysis of tau-leap simulation methods. Zbl 1234.60066 Anderson, David F.; Ganguly, Arnab; Kurtz, Thomas G. 35 2011 Large loss networks. Zbl 0810.60087 Hunt, P. J.; Kurtz, T. G. 32 1994 Weak convergence of stochastic integrals and differential equations. II: Infinite dimensional case. Zbl 0862.60042 Kurtz, Thomas G.; Protter, Philip E. 32 1996 Macroscopic limits for stochastic partial differential equations of McKean-Vlasov type. Zbl 1189.60123 Kotelenez, Peter M.; Kurtz, Thomas G. 31 2010 Spatial birth and death processes as solutions of stochastic equations. Zbl 1115.60098 Garcia, Nancy L.; Kurtz, Thomas G. 29 2006 Representations of Markov processes as multiparameter time changes. Zbl 0442.60072 Kurtz, Thomas G. 29 1980 Central limit theorems and diffusion approximations for multiscale Markov chain models. Zbl 1319.60045 Kang, Hye-Won; Kurtz, Thomas G.; Popovic, Lea 26 2014 Convergence to Fleming-Viot processes in the weak atomic topology. Zbl 0817.60029 Ethier, S. N.; Kurtz, Thomas G. 24 1994 Stationary solutions and forward equations for controlled and singular martingale problems. Zbl 0984.60086 Kurtz, Thomas G.; Stockbridge, Richard H. 23 2001 A stochastic evolution equation arising from the fluctuations of a class of interacting particle systems. Zbl 1087.60050 Kurtz, Thomas G.; Xiong, Jie 23 2004 The optional sampling theorem for martingales indexed by directed sets. Zbl 0442.60045 Kurtz, Thomas G. 23 1980 The infinitely-many-alleles model with selection as a measure-valued diffusion. Zbl 0644.92011 Ethier, S. N.; Kurtz, T. G. 22 1987 A general theorem on the convergence of operator semigroups. Zbl 0194.44103 Kurtz, T. G. 19 1970 Non-explosivity of stochastically modeled reaction networks that are complex balanced. Zbl 1404.92226 Anderson, David F.; Cappelletti, Daniele; Koyama, Masanori; Kurtz, Thomas G. 18 2018 Limit theorems for an epidemic model on the complete graph. Zbl 1160.60334 Kurtz, Thomas G.; Lebensztayn, Elcio; Leichsenring, Alexandre R.; Machado, Fábio P. 16 2008 Finite time distributions of stochastically modeled chemical systems with absolute concentration robustness. Zbl 1377.92034 Anderson, David F.; Cappelletti, Daniele; Kurtz, Thomas G. 16 2017 Applications of an abstract perturbation theorem to ordinary differential equations. Zbl 0361.34048 Kurtz, Thomas G. 15 1977 Necessary and sufficient conditions for complete convergence in the law of large numbers. Zbl 0426.60026 Asmussen, Soren; Kurtz, Thomas G. 15 1980 Limit theorems for workload input models. Zbl 0855.60089 Kurtz, Thomas G. 15 1996 Gaussian limits associated with the Poisson-Dirichlet distribution and the Ewens sampling formula. Zbl 1010.62101 Joyce, Paul; Krone, Stephen M.; Kurtz, Thomas G. 15 2002 The filtered Martingale problem. Zbl 1229.60048 Kurtz, T. G.; Nappo, G. 14 2011 Inequalities for the law of large numbers. Zbl 0251.60019 Kurtz, Thomas G. 14 1972 Viscosity methods giving uniqueness for martingale problems. Zbl 1341.60030 Costantini, Cristina; Kurtz, Thomas Gordon 14 2015 A random Trotter product formula. Zbl 0255.47051 Kurtz, Thomas G. 13 1972 When can one detect overdominant selection in the infinite-alleles model? Zbl 1011.62115 Joyce, Paul; Krone, Stephen M.; Kurtz, Thomas G. 13 2003 Numerical solutions for a class of SPDEs with application to filtering. Zbl 0991.60053 Kurtz, Thomas G.; Xiong, Jie 12 2000 Limit theorems and diffusion approximations for density dependent Markov chains. Zbl 0373.60081 Kurtz, Thomas G. 12 1976 Genealogical constructions of population models. Zbl 1466.60147 Etheridge, Alison M.; Kurtz, Thomas G. 12 2019 Applications of duality to measure-valued diffusion processes. Zbl 0496.60057 Dawson, Donald A.; Kurtz, Thomas G. 10 1982 Coupling and ergodic theorems for Fleming-Viot processes. Zbl 0940.60045 Ethier, S. N.; Kurtz, Thomas G. 10 1998 Probabilistic models for nonlinear partial differential equations. Lectures given at the 1st session of the Centro Internazionale Matematico Estivo, Montecatini Terme, Italy, May 22-30, 1995. Zbl 0844.00022 10 1996 Comparison of semi-Markov and Markov processes. Zbl 0217.50404 Kurtz, T. G. 10 1971 Continuum-sites stepping-stone models, coalescing exchangeable partitions and random trees. Zbl 1023.60082 Donnelly, Peter; Evans, Steven N.; Fleischmann, Klaus; Kurtz, Thomas G.; Zhou, Xiaowen 10 2000 Landau-Kolmogorov inequalities for semigroups and groups. Zbl 0361.47012 Certain, Melinda W.; Kurtz, Thomas G. 9 1977 On the functional central limit theorem for the Ewens sampling formula. Zbl 0747.60013 Donnelly, Peter; Kurtz, Thomas G.; Tavaré, Simon 9 1991 Conditional distributions, exchangeable particle systems, and stochastic partial differential equations. Zbl 1306.60086 Crisan, Dan; Kurtz, Thomas G.; Lee, Yoonjung 8 2014 Spatial point processes and the projection method. Zbl 1149.60313 Garcia, Nancy L.; Kurtz, Thomas G. 8 2008 A multiclass station with Markovian feedback in heavy traffic. Zbl 0910.60073 Dai, J. G.; Kurtz, Thomas G. 7 1995 A generalization of Dynkin’s identity and some applications. Zbl 0264.60048 Athreya, Krishna B.; Kurtz, Thomas G. 7 1973 Diffusion approximation for transport processes with general reflection boundary conditions. Zbl 1206.82088 Costantini, Cristina; Kurtz, Thomas G. 7 2006 Diffusion approximations for branching processes. Zbl 0405.60080 Kurtz, Thomas G. 7 1978 Existence and uniqueness of reflecting diffusions in cusps. Zbl 1414.60069 Costantini, Cristina; Kurtz, Thomas G. 7 2018 The central limit theorem for Markov chains. Zbl 0478.60034 Kurtz, Thomas G. 6 1981 Poisson representations of branching Markov and measure-valued branching processes. Zbl 1232.60053 Kurtz, Thomas G.; Rodrigues, Eliane R. 6 2011 On the stationary distribution of the neutral diffusion model in population genetics. Zbl 0742.60076 Ethier, S. N.; Kurtz, Thomas G. 6 1992 A CLT for empirical processes involving time-dependent data. Zbl 1287.60034 Kuelbs, James; Kurtz, Thomas; Zinn, Joel 6 2013 An abstract averaging theorem. Zbl 0332.47022 Kurtz, Thomas G. 5 1976 Gaussian approximations for Markov chains and counting processes. Zbl 0571.60010 Kurtz, Thomas G. 5 1983 Characterizing the weak convergence of stochastic integrals. Zbl 0738.60053 Kurtz, Thomas G.; Protter, Philip 5 1991 The asymptotic behavior of an urn model arising. Zbl 0879.60078 Donnelly, P.; Kurtz, T. G. 5 1996 Correlation and variability in birth processes. Zbl 0778.60060 Donnelly, Peter; Kurtz, Thomas; Marjoram, Paul 5 1993 Martingale problems for controlled processes. Zbl 0642.93065 Kurtz, Thomas G. 4 1987 Particle representations for measure-valued population processes with spatially varying birth rates. Zbl 0960.60069 Kurtz, Thomas G. 4 2000 Martingale problems for constrained Markov problems. Zbl 0726.60043 Kurtz, Thomas G. 4 1990 A control formulation for constrained Markov processes. Zbl 0728.60078 Kurtz, Thomas G. 4 1991 Weak convergence and local stability properties of fixed step size recursive algorithms. Zbl 0792.93116 Bucklew, James A.; Kurtz, Thomas G.; Sethares, William A. 4 1993 Markov selection for constrained martingale problems. Zbl 1428.60108 Costantini, Cristina; Kurtz, Thomas G. 4 2019 A counterexample for the Trotter product formula. Zbl 0533.47029 Kurtz, Thomas G.; Pierre, Michel 3 1984 Representation and approximation of counting processes. Zbl 0543.60058 Kurtz, Thomas G. 3 1982 Approximation of discontinuous processes by continuous processes. Zbl 0461.60090 Kurtz, Thomas G. 3 1981 Tightness for processes with fixed points of discontinuities and applications in varying environment. Zbl 1352.60005 Bansaye, Vincent; Kurtz, Thomas G.; Simatos, Florian 3 2016 Particle representations for stochastic partial differential equations with boundary conditions. Zbl 1430.60054 Crisan, Dan; Janjigian, Christopher; Kurtz, Thomas G. 3 2018 Relationships between stochastic and deterministic population models. Zbl 0471.92014 Kurtz, Thomas G. 2 1980 Point processes and completely monotone set functions. Zbl 0282.60031 Kurtz, Thomas G. 2 1974 A probabilistic distributed algorithm for set intersection and its analysis. Zbl 0612.68039 Kurtz, Thomas G.; Manber, Udi 2 1987 Genealogical constructions of population models. Zbl 1466.60147 Etheridge, Alison M.; Kurtz, Thomas G. 12 2019 Markov selection for constrained martingale problems. Zbl 1428.60108 Costantini, Cristina; Kurtz, Thomas G. 4 2019 Non-explosivity of stochastically modeled reaction networks that are complex balanced. Zbl 1404.92226 Anderson, David F.; Cappelletti, Daniele; Koyama, Masanori; Kurtz, Thomas G. 18 2018 Existence and uniqueness of reflecting diffusions in cusps. Zbl 1414.60069 Costantini, Cristina; Kurtz, Thomas G. 7 2018 Particle representations for stochastic partial differential equations with boundary conditions. Zbl 1430.60054 Crisan, Dan; Janjigian, Christopher; Kurtz, Thomas G. 3 2018 Finite time distributions of stochastically modeled chemical systems with absolute concentration robustness. Zbl 1377.92034 Anderson, David F.; Cappelletti, Daniele; Kurtz, Thomas G. 16 2017 Tightness for processes with fixed points of discontinuities and applications in varying environment. Zbl 1352.60005 Bansaye, Vincent; Kurtz, Thomas G.; Simatos, Florian 3 2016 Stochastic analysis of biochemical systems. Zbl 1402.92004 Anderson, David F.; Kurtz, Thomas G. 81 2015 Viscosity methods giving uniqueness for martingale problems. Zbl 1341.60030 Costantini, Cristina; Kurtz, Thomas Gordon 14 2015 Weak and strong solutions of general stochastic models. Zbl 1301.60035 Kurtz, Thomas G. 40 2014 Central limit theorems and diffusion approximations for multiscale Markov chain models. Zbl 1319.60045 Kang, Hye-Won; Kurtz, Thomas G.; Popovic, Lea 26 2014 Conditional distributions, exchangeable particle systems, and stochastic partial differential equations. Zbl 1306.60086 Crisan, Dan; Kurtz, Thomas G.; Lee, Yoonjung 8 2014 Separation of time-scales and model reduction for stochastic reaction networks. Zbl 1377.60076 Kang, Hye-Won; Kurtz, Thomas G. 59 2013 A CLT for empirical processes involving time-dependent data. Zbl 1287.60034 Kuelbs, James; Kurtz, Thomas; Zinn, Joel 6 2013 Equivalence of stochastic equations and martingale problems. Zbl 1236.60073 Kurtz, Thomas G. 56 2011 Error analysis of tau-leap simulation methods. Zbl 1234.60066 Anderson, David F.; Ganguly, Arnab; Kurtz, Thomas G. 35 2011 The filtered Martingale problem. Zbl 1229.60048 Kurtz, T. G.; Nappo, G. 14 2011 Poisson representations of branching Markov and measure-valued branching processes. Zbl 1232.60053 Kurtz, Thomas G.; Rodrigues, Eliane R. 6 2011 Product-form stationary distributions for deficiency zero chemical reaction networks. Zbl 1201.92069 Anderson, David F.; Craciun, Gheorghe; Kurtz, Thomas G. 81 2010 Macroscopic limits for stochastic partial differential equations of McKean-Vlasov type. Zbl 1189.60123 Kotelenez, Peter M.; Kurtz, Thomas G. 31 2010 Limit theorems for an epidemic model on the complete graph. Zbl 1160.60334 Kurtz, Thomas G.; Lebensztayn, Elcio; Leichsenring, Alexandre R.; Machado, Fábio P. 16 2008 Spatial point processes and the projection method. Zbl 1149.60313 Garcia, Nancy L.; Kurtz, Thomas G. 8 2008 The Yamada-Watanabe-Engelbert theorem for general stochastic equations and inequalities. Zbl 1157.60068 Kurtz, Thomas G. 57 2007 Large deviations for stochastic processes. Zbl 1113.60002 Feng, Jin; Kurtz, Thomas G. 183 2006 Asymptotic analysis of multiscale approximations to reaction networks. Zbl 1118.92031 Ball, Karen; Kurtz, Thomas G.; Popovic, Lea; Rempala, Greg 76 2006 Spatial birth and death processes as solutions of stochastic equations. Zbl 1115.60098 Garcia, Nancy L.; Kurtz, Thomas G. 29 2006 Diffusion approximation for transport processes with general reflection boundary conditions. Zbl 1206.82088 Costantini, Cristina; Kurtz, Thomas G. 7 2006 Markov processes. Characterization and convergence. Zbl 1089.60005 Ethier, Stewart N.; Kurtz, Thomas G. 249 2005 The approximate Euler method for Lévy driven stochastic differential equations. Zbl 1071.60046 Jacod, Jean; Kurtz, Thomas G.; Méléard, Sylvie; Protter, Philip 51 2005 A stochastic evolution equation arising from the fluctuations of a class of interacting particle systems. Zbl 1087.60050 Kurtz, Thomas G.; Xiong, Jie 23 2004 When can one detect overdominant selection in the infinite-alleles model? Zbl 1011.62115 Joyce, Paul; Krone, Stephen M.; Kurtz, Thomas G. 13 2003 Gaussian limits associated with the Poisson-Dirichlet distribution and the Ewens sampling formula. Zbl 1010.62101 Joyce, Paul; Krone, Stephen M.; Kurtz, Thomas G. 15 2002 Stationary solutions and forward equations for controlled and singular martingale problems. Zbl 0984.60086 Kurtz, Thomas G.; Stockbridge, Richard H. 23 2001 Numerical solutions for a class of SPDEs with application to filtering. Zbl 0991.60053 Kurtz, Thomas G.; Xiong, Jie 12 2000 Continuum-sites stepping-stone models, coalescing exchangeable partitions and random trees. Zbl 1023.60082 Donnelly, Peter; Evans, Steven N.; Fleischmann, Klaus; Kurtz, Thomas G.; Zhou, Xiaowen 10 2000 Particle representations for measure-valued population processes with spatially varying birth rates. Zbl 0960.60069 Kurtz, Thomas G. 4 2000 Particle representations for measure-valued population models. Zbl 0956.60081 Donnelly, Peter; Kurtz, Thomas G. 96 1999 Particle representations for a class of nonlinear SPDEs. Zbl 0996.60071 Kurtz, Thomas G.; Xiong, Jie 72 1999 Genealogical processes for Fleming-Viot models with selection and recombination. Zbl 0964.60075 Donnelly, Peter; Kurtz, Thomas G. 52 1999 Existence of Markov controls and characterization of optimal Markov controls. Zbl 0935.93064 Kurtz, Thomas G.; Stockbridge, Richard H. 55 1998 Martingale problems for conditional distributions of Markov processes. Zbl 0907.60065 Kurtz, Thomas G. 40 1998 Coupling and ergodic theorems for Fleming-Viot processes. Zbl 0940.60045 Ethier, S. N.; Kurtz, Thomas G. 10 1998 A conceptual proof of the Kesten-Stigum theorem for multi-type branching processes. Zbl 0868.60068 Kurtz, Thomas; Lyons, Russell; Pemantle, Robin; Peres, Yuval 42 1997 A countable representation of the Fleming-Viot measure-valued diffusion. Zbl 0869.60074 Donnelly, Peter; Kurtz, Thomas G. 58 1996 Weak convergence of stochastic integrals and differential equations. I. Zbl 0862.60041 Kurtz, Thomas G.; Protter, Philip E. 36 1996 Weak convergence of stochastic integrals and differential equations. II: Infinite dimensional case. Zbl 0862.60042 Kurtz, Thomas G.; Protter, Philip E. 32 1996 Limit theorems for workload input models. Zbl 0855.60089 Kurtz, Thomas G. 15 1996 Probabilistic models for nonlinear partial differential equations. Lectures given at the 1st session of the Centro Internazionale Matematico Estivo, Montecatini Terme, Italy, May 22-30, 1995. Zbl 0844.00022 10 1996 The asymptotic behavior of an urn model arising. Zbl 0879.60078 Donnelly, P.; Kurtz, T. G. 5 1996 Stratonovich stochastic differential equations driven by general semimartingales. Zbl 0823.60046 Kurtz, Thomas G.; Pardoux, Étienne; Protter, Philip 44 1995 A multiclass station with Markovian feedback in heavy traffic. Zbl 0910.60073 Dai, J. G.; Kurtz, Thomas G. 7 1995 Large loss networks. Zbl 0810.60087 Hunt, P. J.; Kurtz, T. G. 32 1994 Convergence to Fleming-Viot processes in the weak atomic topology. Zbl 0817.60029 Ethier, S. N.; Kurtz, Thomas G. 24 1994 Fleming-Viot processes in population genetics. Zbl 0774.60045 Ethier, S. N.; Kurtz, Thomas G. 88 1993 Correlation and variability in birth processes. Zbl 0778.60060 Donnelly, Peter; Kurtz, Thomas; Marjoram, Paul 5 1993 Weak convergence and local stability properties of fixed step size recursive algorithms. Zbl 0792.93116 Bucklew, James A.; Kurtz, Thomas G.; Sethares, William A. 4 1993 On the stationary distribution of the neutral diffusion model in population genetics. Zbl 0742.60076 Ethier, S. N.; Kurtz, Thomas G. 6 1992 Weak limit theorems for stochastic integrals and stochastic differential equations. Zbl 0742.60053 Kurtz, Thomas G.; Protter, Philip 254 1991 Wong-Zakai corrections, random evolutions, and simulation schemes for SDE’s. Zbl 0762.60047 Kurtz, Thomas G.; Protter, Philip 62 1991 Random time changes and convergence in distribution under the Meyer-Zheng conditions. Zbl 0742.60036 Kurtz, Thomas G. 40 1991 On the functional central limit theorem for the Ewens sampling formula. Zbl 0747.60013 Donnelly, Peter; Kurtz, Thomas G.; Tavaré, Simon 9 1991 Characterizing the weak convergence of stochastic integrals. Zbl 0738.60053 Kurtz, Thomas G.; Protter, Philip 5 1991 A control formulation for constrained Markov processes. Zbl 0728.60078 Kurtz, Thomas G. 4 1991 Martingale problems for constrained Markov problems. Zbl 0726.60043 Kurtz, Thomas G. 4 1990 Unique characterization of conditional distributions in nonlinear filtering. Zbl 0655.60035 Kurtz, T. G.; Ocone, Daniel L. 54 1988 The infinitely-many-alleles model with selection as a measure-valued diffusion. Zbl 0644.92011 Ethier, S. N.; Kurtz, T. G. 22 1987 Martingale problems for controlled processes. Zbl 0642.93065 Kurtz, Thomas G. 4 1987 A probabilistic distributed algorithm for set intersection and its analysis. Zbl 0612.68039 Kurtz, Thomas G.; Manber, Udi 2 1987 Markov processes. Characterization and convergence. Zbl 0592.60049 Ethier, Stewart N.; Kurtz, Thomas G. 1,921 1986 A martingale problem for conditional distributions and uniqueness for the nonlinear filtering equations. Zbl 0563.60042 Kurtz, Thomas G.; Ocone, Daniel 1 1985 A probabilistic distributed algorithm for set intersection and its analysis. Zbl 0571.68030 Kurtz, Thomas G.; Manber, Udi 1 1985 A counterexample for the Trotter product formula. Zbl 0533.47029 Kurtz, Thomas G.; Pierre, Michel 3 1984 Gaussian approximations for Markov chains and counting processes. Zbl 0571.60010 Kurtz, Thomas G. 5 1983 Applications of duality to measure-valued diffusion processes. Zbl 0496.60057 Dawson, Donald A.; Kurtz, Thomas G. 10 1982 Representation and approximation of counting processes. Zbl 0543.60058 Kurtz, Thomas G. 3 1982 Approximation of population processes. Zbl 0465.60078 Kurtz, Thomas G. 137 1981 The infinitely-many-neutral-alleles diffusion model. Zbl 0483.60076 Ethier, S. N.; Kurtz, Thomas G. 43 1981 The central limit theorem for Markov chains. Zbl 0478.60034 Kurtz, Thomas G. 6 1981 Approximation of discontinuous processes by continuous processes. Zbl 0461.60090 Kurtz, Thomas G. 3 1981 Representations of Markov processes as multiparameter time changes. Zbl 0442.60072 Kurtz, Thomas G. 29 1980 The optional sampling theorem for martingales indexed by directed sets. Zbl 0442.60045 Kurtz, Thomas G. 23 1980 Necessary and sufficient conditions for complete convergence in the law of large numbers. Zbl 0426.60026 Asmussen, Soren; Kurtz, Thomas G. 15 1980 Relationships between stochastic and deterministic population models. Zbl 0471.92014 Kurtz, Thomas G. 2 1980 A variational formula for the growth rate of a positive operator semigroup. Zbl 0405.47024 Kurtz, Thomas G. 1 1979 Strong approximation theorems for density dependent Markov chains. Zbl 0373.60085 Kurtz, Thomas G. 157 1978 Diffusion approximations for branching processes. Zbl 0405.60080 Kurtz, Thomas G. 7 1978 Applications of an abstract perturbation theorem to ordinary differential equations. Zbl 0361.34048 Kurtz, Thomas G. 15 1977 Landau-Kolmogorov inequalities for semigroups and groups. Zbl 0361.47012 Certain, Melinda W.; Kurtz, Thomas G. 9 1977 Limit theorems and diffusion approximations for density dependent Markov chains. Zbl 0373.60081 Kurtz, Thomas G. 12 1976 An abstract averaging theorem. Zbl 0332.47022 Kurtz, Thomas G. 5 1976 Semigroups of conditioned shifts and approximation of Markov processes. Zbl 0318.60026 Kurtz, Thomas G. 68 1975 Berry-Esseen estimates in Hilbert space and an application to the law of the iterated logarithm. Zbl 0298.60017 Kuelbs, J.; Kurtz, T. 42 1974 Convergence of sequences of semigroups of nonlinear operators with an application to gas kinetics. Zbl 0275.47047 Kurtz, Thomas G. 41 1974 Point processes and completely monotone set functions. Zbl 0282.60031 Kurtz, Thomas G. 2 1974 A limit theorem for perturbed operator semigroups with applications to random evolutions. Zbl 0246.47053 Kurtz, Thomas G. 88 1973 A generalization of Dynkin’s identity and some applications. Zbl 0264.60048 Athreya, Krishna B.; Kurtz, Thomas G. 7 1973 The nonexistence of the Yaglom limit for an age dependent subcritical branching process. Zbl 0271.60093 Kurtz, Thomas G.; Wainger, Stephen 1 1973 Inequalities for the law of large numbers. Zbl 0251.60019 Kurtz, Thomas G. 14 1972 A random Trotter product formula. Zbl 0255.47051 Kurtz, Thomas G. 13 1972 Limit theorems for sequences of jump Markov processes approximating ordinary differential processes. Zbl 0219.60060 Kurtz, T. G. 199 1971 ...and 6 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,351 Authors 38 Kurtz, Thomas Gordon 34 Yin, Gang George 31 Budhiraja, Amarjit S. 27 Xiong, Jie 26 Anderson, David Frederick 23 Pardoux, Etienne 23 Röckner, Michael 22 Dawson, Donald Andrew 21 Méléard, Sylvie 20 Bobrowski, Adam 20 Glynn, Peter W. 20 Li, Zenghu 20 Pfaffelhuber, Peter 19 Feng, Shui 19 Spiliopoulos, Konstantinos V. 19 Williams, Ruth J. 19 Zhang, Qing 18 Chen, Zhen-Qing 17 Ceci, Claudia 17 Greven, Andreas 17 Kouritzin, Michael A. 17 Roberts, Gareth O. 17 Whitt, Ward 16 Etheridge, Alison Mary 16 Kraaij, Richard Clemens 16 Kushner, Harold J. 16 Pang, Guodong 16 Stockbridge, Richard H. 16 Yin, George Gang 15 Baake, Ellen 15 Barbour, Andrew David 15 Kondrat’yev, Yuriĭ Grygorovych 15 Peletier, Mark Adriaan 14 Ball, Frank G. 14 Criens, David 14 Dupuis, Paul G. 14 Gerardi, Anna 14 Korolyuk, Volodymyr Semenovych 14 Mandjes, Michel Robertus Hendrikus 14 Mytnik, Leonid 14 Ross, Joshua V. 14 Wakolbinger, Anton 13 Atar, Rami 13 Blath, Jochen 13 Burdzy, Krzysztof 13 Evans, Steven Neil 13 Perkins, Edwin A. 13 Ramanan, Kavita 13 Tardelli, Paola 12 Bansaye, Vincent 12 Casanova, Adrián González 12 Champagnat, Nicolas 12 Durrett, Richard Timothy 12 Klebaner, Fima C. 12 Neal, Peter J. 12 Popovic, Lea 12 Tran, Viet Chi 12 Zhu, RongChan 11 Albeverio, Sergio A. 11 Borkar, Vivek Shripad 11 Bortolussi, Luca 11 Cappelletti, Daniele 11 Griffiths, Robert C. 11 Hairer, Martin 11 Hausenblas, Erika 11 Luczak, Malwina J. 11 Pollett, Philip K. 11 Renger, D. R. Michiel 11 Veretennikov, Alexander Yu. 11 Xue, Xiaofeng 11 Zhu, Xiang-Chan 10 Cox, J. Theodore 10 Craciun, Gheorghe 10 Crisan, Dan O. 10 Fleischmann, Klaus 10 Jagers, Peter 10 Kolokoltsov, Vassili N. 10 Lambert, Amaury 10 Ma, Chunhua 10 Rathinam, Muruhan 10 Redig, Frank 10 Rempała, Grzegorz A. 10 Rizzolo, Douglas 10 Słomiński, Leszek 10 Smadi, Charline 10 Sun, Wei 10 Swart, Jan M. 10 Wagner, Wolfgang 10 Zeng, Yong 10 Zhou, Xiaowen 10 Zwart, Bert P. 9 Bo, Lijun 9 Borst, Sem C. 9 Britton, Tom 9 Colaneri, Katia 9 den Hollander, Frank 9 Donnelly, Peter 9 Duan, Jinqiao 9 Feng, Jin 9 Finkelshteĭn, Dmitriĭ Leonidovich ...and 4,251 more Authors all top 5 Cited in 445 Serials 358 Stochastic Processes and their Applications 262 The Annals of Applied Probability 164 The Annals of Probability 119 Probability Theory and Related Fields 115 Journal of Mathematical Biology 99 Electronic Journal of Probability 93 Journal of Statistical Physics 78 Advances in Applied Probability 78 Journal of Applied Probability 76 Theoretical Population Biology 70 Queueing Systems 68 Journal of Theoretical Probability 65 Annales de l’Institut Henri Poincaré. 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Theory, Methods & Applications 7 The Canadian Journal of Statistics 7 Applied Mathematics and Computation 7 BIT 7 Mathematische Nachrichten ...and 345 more Serials all top 5 Cited in 55 Fields 3,352 Probability theory and stochastic processes (60-XX) 904 Biology and other natural sciences (92-XX) 489 Partial differential equations (35-XX) 363 Statistics (62-XX) 346 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 317 Operations research, mathematical programming (90-XX) 310 Statistical mechanics, structure of matter (82-XX) 309 Numerical analysis (65-XX) 282 Systems theory; control (93-XX) 214 Operator theory (47-XX) 180 Ordinary differential equations (34-XX) 176 Dynamical systems and ergodic theory (37-XX) 156 Computer science (68-XX) 134 Calculus of variations and optimal control; optimization (49-XX) 119 Combinatorics (05-XX) 71 Fluid mechanics (76-XX) 64 Global analysis, analysis on manifolds (58-XX) 40 Classical thermodynamics, heat transfer (80-XX) 39 Functional analysis (46-XX) 32 Quantum theory (81-XX) 31 Potential theory (31-XX) 29 Measure and integration (28-XX) 27 Mechanics of particles and systems (70-XX) 23 Approximations and expansions (41-XX) 21 Integral equations (45-XX) 20 Real functions (26-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 18 Information and communication theory, circuits (94-XX) 16 Special functions (33-XX) 16 Geophysics (86-XX) 15 Differential geometry (53-XX) 13 Topological groups, Lie groups (22-XX) 13 Abstract harmonic analysis (43-XX) 12 Difference and functional equations (39-XX) 11 General and overarching topics; collections (00-XX) 9 Number theory (11-XX) 8 Mechanics of deformable solids (74-XX) 7 General topology (54-XX) 5 History and biography (01-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Optics, electromagnetic theory (78-XX) 3 Mathematical logic and foundations (03-XX) 3 Nonassociative rings and algebras (17-XX) 3 Functions of a complex variable (30-XX) 3 Integral transforms, operational calculus (44-XX) 3 Algebraic topology (55-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Convex and discrete geometry (52-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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