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Kurtz, Thomas Gordon

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Author ID: kurtz.thomas-gordon Recent zbMATH articles by "Kurtz, Thomas Gordon"
Published as: Kurtz, Thomas G.; Kurtz, T. G.; Kurtz, Thomas; Kurtz, Thomas Gordon; Kurtz, Th. G.; Kurtz, T.
Homepage: http://www.math.wisc.edu/~kurtz/
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 109 Publications since 1969, including 5 Books
1 Contribution as Editor
Biographic References: 1 Publication
all top 5

Serials

18 The Annals of Probability
9 The Annals of Applied Probability
7 Electronic Journal of Probability
5 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
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 Electronic Communications in Probability
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

Publications by Year

Citations contained in zbMATH Open

105 Publications have been cited 4,573 times in 3,357 Documents Cited by Year
Markov processes. Characterization and convergence. Zbl 0592.60049
Ethier, Stewart N.; Kurtz, Thomas G.
1986
Weak limit theorems for stochastic integrals and stochastic differential equations. Zbl 0742.60053
Kurtz, Thomas G.; Protter, Philip
218
1991
Solutions of ordinary differential equations as limits of pure jump Markov processes. Zbl 0191.47301
Kurtz, T. G.
216
1970
Markov processes. Characterization and convergence. Zbl 1089.60005
Ethier, Stewart N.; Kurtz, Thomas G.
194
2005
Limit theorems for sequences of jump Markov processes approximating ordinary differential processes. Zbl 0219.60060
Kurtz, T. G.
167
1971
Strong approximation theorems for density dependent Markov chains. Zbl 0373.60085
Kurtz, Thomas G.
125
1978
Large deviations for stochastic processes. Zbl 1113.60002
Feng, Jin; Kurtz, Thomas G.
117
2006
Approximation of population processes. Zbl 0465.60078
Kurtz, Thomas G.
103
1981
Particle representations for measure-valued population models. Zbl 0956.60081
Donnelly, Peter; Kurtz, Thomas G.
79
1999
Fleming-Viot processes in population genetics. Zbl 0774.60045
Ethier, S. N.; Kurtz, Thomas G.
77
1993
A limit theorem for perturbed operator semigroups with applications to random evolutions. Zbl 0246.47053
Kurtz, Thomas G.
77
1973
Extensions of Trotter’s operator semigroup approximation theorems. Zbl 0174.18401
Kurtz, T. G.
67
1969
Asymptotic analysis of multiscale approximations to reaction networks. Zbl 1118.92031
Ball, Karen; Kurtz, Thomas G.; Popovic, Lea; Rempala, Greg
64
2006
Semigroups of conditioned shifts and approximation of Markov processes. Zbl 0318.60026
Kurtz, Thomas G.
63
1975
Product-form stationary distributions for deficiency zero chemical reaction networks. Zbl 1201.92069
Anderson, David F.; Craciun, Gheorghe; Kurtz, Thomas G.
57
2010
Particle representations for a class of nonlinear SPDEs. Zbl 0996.60071
Kurtz, Thomas G.; Xiong, Jie
52
1999
Wong-Zakai corrections, random evolutions, and simulation schemes for SDE’s. Zbl 0762.60047
Kurtz, Thomas G.; Protter, Philip
50
1991
Unique characterization of conditional distributions in nonlinear filtering. Zbl 0655.60035
Kurtz, T. G.; Ocone, Daniel L.
49
1988
Existence of Markov controls and characterization of optimal Markov controls. Zbl 0935.93064
Kurtz, Thomas G.; Stockbridge, Richard H.
48
1998
A countable representation of the Fleming-Viot measure-valued diffusion. Zbl 0869.60074
Donnelly, Peter; Kurtz, Thomas G.
48
1996
Genealogical processes for Fleming-Viot models with selection and recombination. Zbl 0964.60075
Donnelly, Peter; Kurtz, Thomas G.
47
1999
Separation of time-scales and model reduction for stochastic reaction networks. Zbl 1377.60076
Kang, Hye-Won; Kurtz, Thomas G.
46
2013
Stochastic analysis of biochemical systems. Zbl 1402.92004
Anderson, David F.; Kurtz, Thomas G.
45
2015
The approximate Euler method for Lévy driven stochastic differential equations. Zbl 1071.60046
Jacod, Jean; Kurtz, Thomas G.; Méléard, Sylvie; Protter, Philip
44
2005
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
The Yamada-Watanabe-Engelbert theorem for general stochastic equations and inequalities. Zbl 1157.60068
Kurtz, Thomas G.
41
2007
Random time changes and convergence in distribution under the Meyer-Zheng conditions. Zbl 0742.60036
Kurtz, Thomas G.
37
1991
Stratonovich stochastic differential equations driven by general semimartingales. Zbl 0823.60046
Kurtz, Thomas G.; Pardoux, Étienne; Protter, Philip
35
1995
A conceptual proof of the Kesten-Stigum theorem for multi-type branching processes. Zbl 0868.60068
Kurtz, Thomas; Lyons, Russell; Pemantle, Robin; Peres, Yuval
35
1997
Convergence of sequences of semigroups of nonlinear operators with an application to gas kinetics. Zbl 0275.47047
Kurtz, Thomas G.
35
1974
The infinitely-many-neutral-alleles diffusion model. Zbl 0483.60076
Ethier, S. N.; Kurtz, Thomas G.
34
1981
Equivalence of stochastic equations and martingale problems. Zbl 1236.60073
Kurtz, Thomas G.
32
2011
Martingale problems for conditional distributions of Markov processes. Zbl 0907.60065
Kurtz, Thomas G.
32
1998
Weak convergence of stochastic integrals and differential equations. I. Zbl 0862.60041
Kurtz, Thomas G.; Protter, Philip E.
31
1996
Error analysis of tau-leap simulation methods. Zbl 1234.60066
Anderson, David F.; Ganguly, Arnab; Kurtz, Thomas G.
29
2011
Weak convergence of stochastic integrals and differential equations. II: Infinite dimensional case. Zbl 0862.60042
Kurtz, Thomas G.; Protter, Philip E.
26
1996
Macroscopic limits for stochastic partial differential equations of McKean-Vlasov type. Zbl 1189.60123
Kotelenez, Peter M.; Kurtz, Thomas G.
26
2010
Large loss networks. Zbl 0810.60087
Hunt, P. J.; Kurtz, T. G.
26
1994
The optional sampling theorem for martingales indexed by directed sets. Zbl 0442.60045
Kurtz, Thomas G.
23
1980
Representations of Markov processes as multiparameter time changes. Zbl 0442.60072
Kurtz, Thomas G.
23
1980
Spatial birth and death processes as solutions of stochastic equations. Zbl 1115.60098
Garcia, Nancy L.; Kurtz, Thomas G.
23
2006
Convergence to Fleming-Viot processes in the weak atomic topology. Zbl 0817.60029
Ethier, S. N.; Kurtz, Thomas G.
20
1994
Weak and strong solutions of general stochastic models. Zbl 1301.60035
Kurtz, Thomas G.
19
2014
The infinitely-many-alleles model with selection as a measure-valued diffusion. Zbl 0644.92011
Ethier, S. N.; Kurtz, T. G.
18
1987
Central limit theorems and diffusion approximations for multiscale Markov chain models. Zbl 1319.60045
Kang, Hye-Won; Kurtz, Thomas G.; Popovic, Lea
18
2014
A stochastic evolution equation arising from the fluctuations of a class of interacting particle systems. Zbl 1087.60050
Kurtz, Thomas G.; Xiong, Jie
17
2004
A general theorem on the convergence of operator semigroups. Zbl 0194.44103
Kurtz, T. G.
17
1970
Stationary solutions and forward equations for controlled and singular martingale problems. Zbl 0984.60086
Kurtz, Thomas G.; Stockbridge, Richard H.
16
2001
Necessary and sufficient conditions for complete convergence in the law of large numbers. Zbl 0426.60026
Asmussen, Soren; Kurtz, Thomas G.
15
1980
Gaussian limits associated with the Poisson-Dirichlet distribution and the Ewens sampling formula. Zbl 1010.62101
Joyce, Paul; Krone, Stephen M.; Kurtz, Thomas G.
14
2002
Limit theorems for an epidemic model on the complete graph. Zbl 1160.60334
Kurtz, Thomas G.; Lebensztayn, Elcio; Leichsenring, Alexandre R.; Machado, Fábio P.
14
2008
Inequalities for the law of large numbers. Zbl 0251.60019
Kurtz, Thomas G.
13
1972
Applications of an abstract perturbation theorem to ordinary differential equations. Zbl 0361.34048
Kurtz, Thomas G.
12
1977
Limit theorems for workload input models. Zbl 0855.60089
Kurtz, Thomas G.
11
1996
When can one detect overdominant selection in the infinite-alleles model? Zbl 1011.62115
Joyce, Paul; Krone, Stephen M.; Kurtz, Thomas G.
11
2003
A random Trotter product formula. Zbl 0255.47051
Kurtz, Thomas G.
11
1972
Non-explosivity of stochastically modeled reaction networks that are complex balanced. Zbl 1404.92226
Anderson, David F.; Cappelletti, Daniele; Koyama, Masanori; Kurtz, Thomas G.
11
2018
Comparison of semi-Markov and Markov processes. Zbl 0217.50404
Kurtz, T. G.
10
1971
Numerical solutions for a class of SPDEs with application to filtering. Zbl 0991.60053
Kurtz, Thomas G.; Xiong, Jie
10
2000
The filtered Martingale problem. Zbl 1229.60048
Kurtz, T. G.; Nappo, G.
9
2011
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
9
2000
Coupling and ergodic theorems for Fleming-Viot processes. Zbl 0940.60045
Ethier, S. N.; Kurtz, Thomas G.
9
1998
Viscosity methods giving uniqueness for martingale problems. Zbl 1341.60030
Costantini, Cristina; Kurtz, Thomas Gordon
9
2015
Finite time distributions of stochastically modeled chemical systems with absolute concentration robustness. Zbl 1377.92034
Anderson, David F.; Cappelletti, Daniele; Kurtz, Thomas G.
9
2017
Landau-Kolmogorov inequalities for semigroups and groups. Zbl 0361.47012
Certain, Melinda W.; Kurtz, Thomas G.
8
1977
Limit theorems and diffusion approximations for density dependent Markov chains. Zbl 0373.60081
Kurtz, Thomas G.
7
1976
Conditional distributions, exchangeable particle systems, and stochastic partial differential equations. Zbl 1306.60086
Crisan, Dan; Kurtz, Thomas G.; Lee, Yoonjung
7
2014
On the functional central limit theorem for the Ewens sampling formula. Zbl 0747.60013
Donnelly, Peter; Kurtz, Thomas G.; Tavaré, Simon
7
1991
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
A CLT for empirical processes involving time-dependent data. Zbl 1287.60034
Kuelbs, James; Kurtz, Thomas; Zinn, Joel
6
2013
On the stationary distribution of the neutral diffusion model in population genetics. Zbl 0742.60076
Ethier, S. N.; Kurtz, Thomas G.
6
1992
Spatial point processes and the projection method. Zbl 1149.60313
Garcia, Nancy L.; Kurtz, Thomas G.
6
2008
Poisson representations of branching Markov and measure-valued branching processes. Zbl 1232.60053
Kurtz, Thomas G.; Rodrigues, Eliane R.
5
2011
Genealogical constructions of population models. Zbl 1466.60147
Etheridge, Alison M.; Kurtz, Thomas G.
5
2019
The central limit theorem for Markov chains. Zbl 0478.60034
Kurtz, Thomas G.
5
1981
Diffusion approximation for transport processes with general reflection boundary conditions. Zbl 1206.82088
Costantini, Cristina; Kurtz, Thomas G.
5
2006
The asymptotic behavior of an urn model arising. Zbl 0879.60078
Donnelly, P.; Kurtz, T. G.
5
1996
Gaussian approximations for Markov chains and counting processes. Zbl 0571.60010
Kurtz, Thomas G.
5
1983
An abstract averaging theorem. Zbl 0332.47022
Kurtz, Thomas G.
5
1976
Applications of duality to measure-valued diffusion processes. Zbl 0496.60057
Dawson, Donald A.; Kurtz, Thomas G.
5
1982
Correlation and variability in birth processes. Zbl 0778.60060
Donnelly, Peter; Kurtz, Thomas; Marjoram, Paul
4
1993
Diffusion approximations for branching processes. Zbl 0405.60080
Kurtz, Thomas G.
4
1978
Characterizing the weak convergence of stochastic integrals. Zbl 0738.60053
Kurtz, Thomas G.; Protter, Philip
4
1991
Particle representations for measure-valued population processes with spatially varying birth rates. Zbl 0960.60069
Kurtz, Thomas G.
4
2000
Martingale problems for controlled processes. Zbl 0642.93065
Kurtz, Thomas G.
4
1987
A counterexample for the Trotter product formula. Zbl 0533.47029
Kurtz, Thomas G.; Pierre, Michel
3
1984
Particle representations for stochastic partial differential equations with boundary conditions. Zbl 1430.60054
Crisan, Dan; Janjigian, Christopher; Kurtz, Thomas G.
3
2018
Approximation of discontinuous processes by continuous processes. Zbl 0461.60090
Kurtz, Thomas G.
3
1981
A control formulation for constrained Markov processes. Zbl 0728.60078
Kurtz, Thomas G.
3
1991
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
3
1996
Weak convergence and local stability properties of fixed step size recursive algorithms. Zbl 0792.93116
Bucklew, James A.; Kurtz, Thomas G.; Sethares, William A.
3
1993
Existence and uniqueness of reflecting diffusions in cusps. Zbl 1414.60069
Costantini, Cristina; Kurtz, Thomas G.
3
2018
Markov selection for constrained martingale problems. Zbl 1428.60108
Costantini, Cristina; Kurtz, Thomas G.
2
2019
Relationships between stochastic and deterministic population models. Zbl 0471.92014
Kurtz, Thomas G.
2
1980
Martingale problems for constrained Markov problems. Zbl 0726.60043
Kurtz, Thomas G.
2
1990
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
Approximation of age dependent, multitype branching processes. Zbl 0196.18704
Kurtz, Thomas G.
2
1970
A variational formula for the growth rate of a positive operator semigroup. Zbl 0405.47024
Kurtz, Thomas G.
1
1979
Genealogical constructions of population models. Zbl 1466.60147
Etheridge, Alison M.; Kurtz, Thomas G.
5
2019
Markov selection for constrained martingale problems. Zbl 1428.60108
Costantini, Cristina; Kurtz, Thomas G.
2
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.
11
2018
Particle representations for stochastic partial differential equations with boundary conditions. Zbl 1430.60054
Crisan, Dan; Janjigian, Christopher; Kurtz, Thomas G.
3
2018
Existence and uniqueness of reflecting diffusions in cusps. Zbl 1414.60069
Costantini, Cristina; 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.
9
2017
Stochastic analysis of biochemical systems. Zbl 1402.92004
Anderson, David F.; Kurtz, Thomas G.
45
2015
Viscosity methods giving uniqueness for martingale problems. Zbl 1341.60030
Costantini, Cristina; Kurtz, Thomas Gordon
9
2015
Weak and strong solutions of general stochastic models. Zbl 1301.60035
Kurtz, Thomas G.
19
2014
Central limit theorems and diffusion approximations for multiscale Markov chain models. Zbl 1319.60045
Kang, Hye-Won; Kurtz, Thomas G.; Popovic, Lea
18
2014
Conditional distributions, exchangeable particle systems, and stochastic partial differential equations. Zbl 1306.60086
Crisan, Dan; Kurtz, Thomas G.; Lee, Yoonjung
7
2014
Separation of time-scales and model reduction for stochastic reaction networks. Zbl 1377.60076
Kang, Hye-Won; Kurtz, Thomas G.
46
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.
32
2011
Error analysis of tau-leap simulation methods. Zbl 1234.60066
Anderson, David F.; Ganguly, Arnab; Kurtz, Thomas G.
29
2011
The filtered Martingale problem. Zbl 1229.60048
Kurtz, T. G.; Nappo, G.
9
2011
Poisson representations of branching Markov and measure-valued branching processes. Zbl 1232.60053
Kurtz, Thomas G.; Rodrigues, Eliane R.
5
2011
Product-form stationary distributions for deficiency zero chemical reaction networks. Zbl 1201.92069
Anderson, David F.; Craciun, Gheorghe; Kurtz, Thomas G.
57
2010
Macroscopic limits for stochastic partial differential equations of McKean-Vlasov type. Zbl 1189.60123
Kotelenez, Peter M.; Kurtz, Thomas G.
26
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.
14
2008
Spatial point processes and the projection method. Zbl 1149.60313
Garcia, Nancy L.; Kurtz, Thomas G.
6
2008
The Yamada-Watanabe-Engelbert theorem for general stochastic equations and inequalities. Zbl 1157.60068
Kurtz, Thomas G.
41
2007
Large deviations for stochastic processes. Zbl 1113.60002
Feng, Jin; Kurtz, Thomas G.
117
2006
Asymptotic analysis of multiscale approximations to reaction networks. Zbl 1118.92031
Ball, Karen; Kurtz, Thomas G.; Popovic, Lea; Rempala, Greg
64
2006
Spatial birth and death processes as solutions of stochastic equations. Zbl 1115.60098
Garcia, Nancy L.; Kurtz, Thomas G.
23
2006
Diffusion approximation for transport processes with general reflection boundary conditions. Zbl 1206.82088
Costantini, Cristina; Kurtz, Thomas G.
5
2006
Markov processes. Characterization and convergence. Zbl 1089.60005
Ethier, Stewart N.; Kurtz, Thomas G.
194
2005
The approximate Euler method for Lévy driven stochastic differential equations. Zbl 1071.60046
Jacod, Jean; Kurtz, Thomas G.; Méléard, Sylvie; Protter, Philip
44
2005
A stochastic evolution equation arising from the fluctuations of a class of interacting particle systems. Zbl 1087.60050
Kurtz, Thomas G.; Xiong, Jie
17
2004
When can one detect overdominant selection in the infinite-alleles model? Zbl 1011.62115
Joyce, Paul; Krone, Stephen M.; Kurtz, Thomas G.
11
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.
14
2002
Stationary solutions and forward equations for controlled and singular martingale problems. Zbl 0984.60086
Kurtz, Thomas G.; Stockbridge, Richard H.
16
2001
Numerical solutions for a class of SPDEs with application to filtering. Zbl 0991.60053
Kurtz, Thomas G.; Xiong, Jie
10
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
9
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.
79
1999
Particle representations for a class of nonlinear SPDEs. Zbl 0996.60071
Kurtz, Thomas G.; Xiong, Jie
52
1999
Genealogical processes for Fleming-Viot models with selection and recombination. Zbl 0964.60075
Donnelly, Peter; Kurtz, Thomas G.
47
1999
Existence of Markov controls and characterization of optimal Markov controls. Zbl 0935.93064
Kurtz, Thomas G.; Stockbridge, Richard H.
48
1998
Martingale problems for conditional distributions of Markov processes. Zbl 0907.60065
Kurtz, Thomas G.
32
1998
Coupling and ergodic theorems for Fleming-Viot processes. Zbl 0940.60045
Ethier, S. N.; Kurtz, Thomas G.
9
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
35
1997
A countable representation of the Fleming-Viot measure-valued diffusion. Zbl 0869.60074
Donnelly, Peter; Kurtz, Thomas G.
48
1996
Weak convergence of stochastic integrals and differential equations. I. Zbl 0862.60041
Kurtz, Thomas G.; Protter, Philip E.
31
1996
Weak convergence of stochastic integrals and differential equations. II: Infinite dimensional case. Zbl 0862.60042
Kurtz, Thomas G.; Protter, Philip E.
26
1996
Limit theorems for workload input models. Zbl 0855.60089
Kurtz, Thomas G.
11
1996
The asymptotic behavior of an urn model arising. Zbl 0879.60078
Donnelly, P.; Kurtz, T. G.
5
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
3
1996
Stratonovich stochastic differential equations driven by general semimartingales. Zbl 0823.60046
Kurtz, Thomas G.; Pardoux, Étienne; Protter, Philip
35
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.
26
1994
Convergence to Fleming-Viot processes in the weak atomic topology. Zbl 0817.60029
Ethier, S. N.; Kurtz, Thomas G.
20
1994
Fleming-Viot processes in population genetics. Zbl 0774.60045
Ethier, S. N.; Kurtz, Thomas G.
77
1993
Correlation and variability in birth processes. Zbl 0778.60060
Donnelly, Peter; Kurtz, Thomas; Marjoram, Paul
4
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.
3
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
218
1991
Wong-Zakai corrections, random evolutions, and simulation schemes for SDE’s. Zbl 0762.60047
Kurtz, Thomas G.; Protter, Philip
50
1991
Random time changes and convergence in distribution under the Meyer-Zheng conditions. Zbl 0742.60036
Kurtz, Thomas G.
37
1991
On the functional central limit theorem for the Ewens sampling formula. Zbl 0747.60013
Donnelly, Peter; Kurtz, Thomas G.; Tavaré, Simon
7
1991
Characterizing the weak convergence of stochastic integrals. Zbl 0738.60053
Kurtz, Thomas G.; Protter, Philip
4
1991
A control formulation for constrained Markov processes. Zbl 0728.60078
Kurtz, Thomas G.
3
1991
Martingale problems for constrained Markov problems. Zbl 0726.60043
Kurtz, Thomas G.
2
1990
Unique characterization of conditional distributions in nonlinear filtering. Zbl 0655.60035
Kurtz, T. G.; Ocone, Daniel L.
49
1988
The infinitely-many-alleles model with selection as a measure-valued diffusion. Zbl 0644.92011
Ethier, S. N.; Kurtz, T. G.
18
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.
1986
A probabilistic distributed algorithm for set intersection and its analysis. Zbl 0571.68030
Kurtz, Thomas G.; Manber, Udi
1
1985
A martingale problem for conditional distributions and uniqueness for the nonlinear filtering equations. Zbl 0563.60042
Kurtz, Thomas G.; Ocone, Daniel
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.
5
1982
Representation and approximation of counting processes. Zbl 0543.60058
Kurtz, Thomas G.
1
1982
Approximation of population processes. Zbl 0465.60078
Kurtz, Thomas G.
103
1981
The infinitely-many-neutral-alleles diffusion model. Zbl 0483.60076
Ethier, S. N.; Kurtz, Thomas G.
34
1981
The central limit theorem for Markov chains. Zbl 0478.60034
Kurtz, Thomas G.
5
1981
Approximation of discontinuous processes by continuous processes. Zbl 0461.60090
Kurtz, Thomas G.
3
1981
The optional sampling theorem for martingales indexed by directed sets. Zbl 0442.60045
Kurtz, Thomas G.
23
1980
Representations of Markov processes as multiparameter time changes. Zbl 0442.60072
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.
125
1978
Diffusion approximations for branching processes. Zbl 0405.60080
Kurtz, Thomas G.
4
1978
Applications of an abstract perturbation theorem to ordinary differential equations. Zbl 0361.34048
Kurtz, Thomas G.
12
1977
Landau-Kolmogorov inequalities for semigroups and groups. Zbl 0361.47012
Certain, Melinda W.; Kurtz, Thomas G.
8
1977
Limit theorems and diffusion approximations for density dependent Markov chains. Zbl 0373.60081
Kurtz, Thomas G.
7
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.
63
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.
35
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.
77
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.
13
1972
A random Trotter product formula. Zbl 0255.47051
Kurtz, Thomas G.
11
1972
Limit theorems for sequences of jump Markov processes approximating ordinary differential processes. Zbl 0219.60060
Kurtz, T. G.
167
1971
Comparison of semi-Markov and Markov processes. Zbl 0217.50404
Kurtz, T. G.
10
1971
...and 5 more Documents
all top 5

Cited by 3,505 Authors

33 Kurtz, Thomas Gordon
32 Yin, Gang George
25 Budhiraja, Amarjit S.
23 Anderson, David Frederick
23 Xiong, Jie
20 Pardoux, Etienne
19 Méléard, Sylvie
19 Röckner, Michael
18 Dawson, Donald Andrew
18 Feng, Shui
18 Williams, Ruth J.
18 Zhang, Qing
17 Bobrowski, Adam
17 Ceci, Claudia
17 Chen, Zhen-Qing
17 Whitt, Ward
16 Kushner, Harold J.
15 Barbour, Andrew D.
15 Etheridge, Alison Mary
15 Greven, Andreas
15 Pfaffelhuber, Peter
15 Stockbridge, Richard H.
14 Gerardi, Anna
14 Glynn, Peter W.
14 Li, Zenghu
14 Mytnik, Leonid
14 Ross, Joshua V.
13 Evans, Steven Neil
13 Korolyuk, Volodymyr Semenovych
13 Kouritzin, Michael A.
12 Atar, Rami
12 Burdzy, Krzysztof
12 Kondrat’yev, Yuriĭ Grygorovych
12 Kraaij, Richard Clemens
12 Pang, Guodong
12 Perkins, Edwin A.
12 Tardelli, Paola
12 Wakolbinger, Anton
11 Albeverio, Sergio A.
11 Baake, Ellen
11 Borkar, Vivek Shripad
11 Durrett, Richard Timothy
11 Klebaner, Fima C.
11 Luczak, Malwina J.
11 Pollett, Philip K.
11 Ramanan, Kavita
11 Roberts, Gareth O.
11 Spiliopoulos, Konstantinos V.
11 Veretennikov, Alexander Yu.
10 Ball, Frank G.
10 Blath, Jochen
10 Cox, J. Theodore
10 Dupuis, Paul G.
10 Fleischmann, Klaus
10 Griffiths, Robert C.
10 Mandjes, Michel Robertus Hendrikus
10 Neal, Peter J.
10 Popovic, Lea
10 Redig, Frank
10 Słomiński, Leszek
10 Swart, Jan M.
10 Wagner, Wolfgang
10 Zeng, Yong
9 Cappelletti, Daniele
9 Champagnat, Nicolas
9 Donnelly, Peter
9 Feng, Jin
9 Hausenblas, Erika
9 Jagers, Peter
9 Kutoviy, Oleksandr V.
9 Lötstedt, Per
9 Ma, Chunhua
9 Paulauskas, Vygantas Ionovič
9 Sowers, Richard B.
9 Tran, Viet Chi
9 Yin, George Gang
8 Bansaye, Vincent
8 Bortolussi, Luca
8 Britton, Tom
8 Casanova, Adrián González
8 Colaneri, Katia
8 Craciun, Gheorghe
8 Dai, J. G. (Jim)
8 Finkelshteĭn, Dmitriĭ Leonidovich
8 Fragoso, Marcelo Dutra
8 Greenwood, Priscilla E.
8 Kolokoltsov, Vassili N.
8 Kotelenez, Peter M.
8 Lambert, Amaury
8 Li, Yuqiang
8 Limnios, Nikolaos
8 Peletier, Mark Adriaan
8 Puhalskii, Anatolii A.
8 Rathinam, Muruhan
8 Rempała, Grzegorz A.
8 Robert, Philippe
8 Schilling, René Leander
8 Solari, Hernán Gustavo
8 Stolyar, Alexander L.
8 Sun, Wei
...and 3,405 more Authors
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Cited in 386 Serials

306 Stochastic Processes and their Applications
215 The Annals of Applied Probability
152 The Annals of Probability
100 Probability Theory and Related Fields
94 Journal of Mathematical Biology
79 Journal of Statistical Physics
70 Theoretical Population Biology
69 Advances in Applied Probability
68 Journal of Applied Probability
60 Queueing Systems
55 Journal of Theoretical Probability
53 Mathematical Biosciences
53 Electronic Journal of Probability
52 Journal of Mathematical Analysis and Applications
52 Statistics & Probability Letters
52 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
48 Stochastic Analysis and Applications
44 Bulletin of Mathematical Biology
43 Journal of Functional Analysis
38 Transactions of the American Mathematical Society
34 Bernoulli
30 Applied Mathematics and Optimization
29 Communications in Mathematical Physics
29 Journal of Differential Equations
24 Journal of Econometrics
22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
22 Econometric Theory
22 Stochastics and Dynamics
21 Acta Applicandae Mathematicae
21 Stochastics
21 Stochastic Systems
20 Journal of Computational Physics
19 Lithuanian Mathematical Journal
18 SIAM Journal on Control and Optimization
18 Finance and Stochastics
18 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
17 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
16 Theory of Probability and Mathematical Statistics
16 Stochastic Models
16 Journal of Theoretical Biology
15 Journal of Multivariate Analysis
15 Proceedings of the American Mathematical Society
15 Theoretical Computer Science
15 Potential Analysis
15 Discrete and Continuous Dynamical Systems. Series B
14 Journal of Mathematical Sciences (New York)
13 Journal of Optimization Theory and Applications
13 Semigroup Forum
13 Physica D
13 ALEA. Latin American Journal of Probability and Mathematical Statistics
12 Stochastics
12 The Annals of Statistics
12 Insurance Mathematics & Economics
12 Annals of Operations Research
12 SIAM Journal on Applied Mathematics
12 International Journal of Theoretical and Applied Finance
11 Journal of Evolution Equations
11 SIAM Journal on Applied Dynamical Systems
11 Multiscale Modeling & Simulation
11 Science China. Mathematics
11 SIAM/ASA Journal on Uncertainty Quantification
10 Automatica
10 Journal of Statistical Planning and Inference
10 Communications in Statistics. Theory and Methods
10 Acta Mathematica Sinica. English Series
10 Probability in the Engineering and Informational Sciences
10 Frontiers of Mathematics in China
9 Journal of Computational and Applied Mathematics
9 Systems & Control Letters
9 Operations Research Letters
9 Discrete and Continuous Dynamical Systems
9 Mathematical Biosciences and Engineering
9 Electronic Journal of Statistics
9 SIAM Journal on Financial Mathematics
8 Ukrainian Mathematical Journal
8 SIAM Journal on Numerical Analysis
8 Cybernetics and Systems Analysis
8 Stochastic and Partial Differential Equations. Analysis and Computations
8 Nonlinear Analysis. Theory, Methods & Applications
7 Computers & Mathematics with Applications
7 BIT
7 Mathematische Nachrichten
7 Mathematics of Operations Research
7 Memoirs of the American Mathematical Society
7 Electronic Communications in Probability
7 Methodology and Computing in Applied Probability
7 Probability Surveys
6 Archive for Rational Mechanics and Analysis
6 The Canadian Journal of Statistics
6 Communications on Pure and Applied Mathematics
6 Physica A
6 Advances in Mathematics
6 Journal of Economic Theory
6 Publications of the Research Institute for Mathematical Sciences, Kyoto University
6 Acta Mathematicae Applicatae Sinica. English Series
6 Mathematical and Computer Modelling
6 Journal of Applied Mathematics and Stochastic Analysis
6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
6 Stochastics and Stochastics Reports
6 Applied Mathematical Finance
...and 286 more Serials
all top 5

Cited in 53 Fields

2,697 Probability theory and stochastic processes (60-XX)
732 Biology and other natural sciences (92-XX)
348 Partial differential equations (35-XX)
300 Statistics (62-XX)
286 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
280 Operations research, mathematical programming (90-XX)
246 Numerical analysis (65-XX)
243 Systems theory; control (93-XX)
238 Statistical mechanics, structure of matter (82-XX)
173 Operator theory (47-XX)
138 Ordinary differential equations (34-XX)
134 Computer science (68-XX)
129 Dynamical systems and ergodic theory (37-XX)
103 Calculus of variations and optimal control; optimization (49-XX)
87 Combinatorics (05-XX)
52 Fluid mechanics (76-XX)
51 Global analysis, analysis on manifolds (58-XX)
33 Classical thermodynamics, heat transfer (80-XX)
32 Functional analysis (46-XX)
24 Potential theory (31-XX)
23 Measure and integration (28-XX)
23 Quantum theory (81-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
17 Approximations and expansions (41-XX)
16 Real functions (26-XX)
16 Information and communication theory, circuits (94-XX)
15 Integral equations (45-XX)
15 Mechanics of particles and systems (70-XX)
13 Abstract harmonic analysis (43-XX)
12 Geophysics (86-XX)
11 Differential geometry (53-XX)
10 Topological groups, Lie groups (22-XX)
10 Special functions (33-XX)
9 General and overarching topics; collections (00-XX)
7 Number theory (11-XX)
7 Difference and functional equations (39-XX)
7 General topology (54-XX)
7 Mechanics of deformable solids (74-XX)
4 History and biography (01-XX)
4 Optics, electromagnetic theory (78-XX)
3 Nonassociative rings and algebras (17-XX)
3 Algebraic topology (55-XX)
2 Mathematical logic and foundations (03-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 Harmonic analysis on Euclidean spaces (42-XX)
1 Functions of a complex variable (30-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Manifolds and cell complexes (57-XX)
1 Relativity and gravitational theory (83-XX)

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