×

Kurtz, Thomas Gordon

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 · IdRef · theses.fr
all top 5

Serials

18 The Annals of Probability
9 The Annals of Applied Probability
8 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

Publications by Year

Citations contained in zbMATH Open

106 Publications have been cited 6,200 times in 4,489 Documents Cited by Year
Markov processes. Characterization and convergence. Zbl 0592.60049
Ethier, Stewart N.; Kurtz, Thomas G.
1986
Markov processes. Characterization and convergence. Zbl 1089.60005
Ethier, Stewart N.; Kurtz, Thomas G.
276
2005
Solutions of ordinary differential equations as limits of pure jump Markov processes. Zbl 0191.47301
Kurtz, T. G.
258
1970
Weak limit theorems for stochastic integrals and stochastic differential equations. Zbl 0742.60053
Kurtz, Thomas G.; Protter, Philip
254
1991
Large deviations for stochastic processes. Zbl 1113.60002
Feng, Jin; Kurtz, Thomas G.
211
2006
Limit theorems for sequences of jump Markov processes approximating ordinary differential processes. Zbl 0219.60060
Kurtz, T. G.
201
1971
Strong approximation theorems for density dependent Markov chains. Zbl 0373.60085
Kurtz, Thomas G.
161
1978
Approximation of population processes. Zbl 0465.60078
Kurtz, Thomas G.
155
1981
Particle representations for measure-valued population models. Zbl 0956.60081
Donnelly, Peter; Kurtz, Thomas G.
100
1999
Stochastic analysis of biochemical systems. Zbl 1402.92004
Anderson, David F.; Kurtz, Thomas G.
90
2015
Fleming-Viot processes in population genetics. Zbl 0774.60045
Ethier, S. N.; Kurtz, Thomas G.
90
1993
A limit theorem for perturbed operator semigroups with applications to random evolutions. Zbl 0246.47053
Kurtz, Thomas G.
89
1973
Product-form stationary distributions for deficiency zero chemical reaction networks. Zbl 1201.92069
Anderson, David F.; Craciun, Gheorghe; Kurtz, Thomas G.
83
2010
Asymptotic analysis of multiscale approximations to reaction networks. Zbl 1118.92031
Ball, Karen; Kurtz, Thomas G.; Popovic, Lea; Rempala, Greg
77
2006
Particle representations for a class of nonlinear SPDEs. Zbl 0996.60071
Kurtz, Thomas G.; Xiong, Jie
74
1999
Extensions of Trotter’s operator semigroup approximation theorems. Zbl 0174.18401
Kurtz, T. G.
74
1969
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.
62
2013
A countable representation of the Fleming-Viot measure-valued diffusion. Zbl 0869.60074
Donnelly, Peter; Kurtz, Thomas G.
61
1996
Equivalence of stochastic equations and martingale problems. Zbl 1236.60073
Kurtz, Thomas G.
58
2011
The Yamada-Watanabe-Engelbert theorem for general stochastic equations and inequalities. Zbl 1157.60068
Kurtz, Thomas G.
57
2007
Unique characterization of conditional distributions in nonlinear filtering. Zbl 0655.60035
Kurtz, T. G.; Ocone, Daniel L.
55
1988
Existence of Markov controls and characterization of optimal Markov controls. Zbl 0935.93064
Kurtz, Thomas G.; Stockbridge, Richard H.
55
1998
The approximate Euler method for Lévy driven stochastic differential equations. Zbl 1071.60046
Jacod, Jean; Kurtz, Thomas G.; Méléard, Sylvie; Protter, Philip
53
2005
Genealogical processes for Fleming-Viot models with selection and recombination. Zbl 0964.60075
Donnelly, Peter; Kurtz, Thomas G.
52
1999
Stratonovich stochastic differential equations driven by general semimartingales. Zbl 0823.60046
Kurtz, Thomas G.; Pardoux, Étienne; Protter, Philip
46
1995
Convergence of sequences of semigroups of nonlinear operators with an application to gas kinetics. Zbl 0275.47047
Kurtz, Thomas G.
45
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
44
1997
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
Weak and strong solutions of general stochastic models. Zbl 1301.60035
Kurtz, Thomas G.
42
2014
Martingale problems for conditional distributions of Markov processes. Zbl 0907.60065
Kurtz, Thomas G.
41
1998
Random time changes and convergence in distribution under the Meyer-Zheng conditions. Zbl 0742.60036
Kurtz, Thomas G.
40
1991
Weak convergence of stochastic integrals and differential equations. I. Zbl 0862.60041
Kurtz, Thomas G.; Protter, Philip E.
39
1996
Error analysis of tau-leap simulation methods. Zbl 1234.60066
Anderson, David F.; Ganguly, Arnab; Kurtz, Thomas G.
35
2011
Weak convergence of stochastic integrals and differential equations. II: Infinite dimensional case. Zbl 0862.60042
Kurtz, Thomas G.; Protter, Philip E.
33
1996
Large loss networks. Zbl 0810.60087
Hunt, P. J.; Kurtz, T. G.
32
1994
Representations of Markov processes as multiparameter time changes. Zbl 0442.60072
Kurtz, Thomas G.
31
1980
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
Central limit theorems and diffusion approximations for multiscale Markov chain models. Zbl 1319.60045
Kang, Hye-Won; Kurtz, Thomas G.; Popovic, Lea
27
2014
Limit theorems and diffusion approximations for density dependent Markov chains. Zbl 0373.60081
Kurtz, Thomas G.
26
1976
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.
24
2001
The optional sampling theorem for martingales indexed by directed sets. Zbl 0442.60045
Kurtz, Thomas G.
23
1980
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 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
Diffusion approximations for branching processes. Zbl 0405.60080
Kurtz, Thomas G.
16
1978
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
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
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
Genealogical constructions of population models. Zbl 1466.60147
Etheridge, Alison M.; Kurtz, Thomas G.
15
2019
Inequalities for the law of large numbers. Zbl 0251.60019
Kurtz, Thomas G.
14
1972
The filtered Martingale problem. Zbl 1229.60048
Kurtz, T. G.; Nappo, G.
14
2011
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
14
1996
Viscosity methods giving uniqueness for martingale problems. Zbl 1341.60030
Costantini, Cristina; Kurtz, Thomas Gordon
14
2015
When can one detect overdominant selection in the infinite-alleles model? Zbl 1011.62115
Joyce, Paul; Krone, Stephen M.; Kurtz, Thomas G.
13
2003
A random Trotter product formula. Zbl 0255.47051
Kurtz, Thomas G.
13
1972
Applications of duality to measure-valued diffusion processes. Zbl 0496.60057
Dawson, Donald A.; Kurtz, Thomas G.
13
1982
Numerical solutions for a class of SPDEs with application to filtering. Zbl 0991.60053
Kurtz, Thomas G.; Xiong, Jie
12
2000
A control formulation for constrained Markov processes. Zbl 0728.60078
Kurtz, Thomas G.
11
1991
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
Coupling and ergodic theorems for Fleming-Viot processes. Zbl 0940.60045
Ethier, S. N.; Kurtz, Thomas G.
10
1998
Comparison of semi-Markov and Markov processes. Zbl 0217.50404
Kurtz, T. G.
10
1971
On the functional central limit theorem for the Ewens sampling formula. Zbl 0747.60013
Donnelly, Peter; Kurtz, Thomas G.; Tavaré, Simon
9
1991
Landau-Kolmogorov inequalities for semigroups and groups. Zbl 0361.47012
Certain, Melinda W.; Kurtz, Thomas G.
9
1977
Poisson representations of branching Markov and measure-valued branching processes. Zbl 1232.60053
Kurtz, Thomas G.; Rodrigues, Eliane R.
8
2011
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
Martingale problems for constrained Markov problems. Zbl 0726.60043
Kurtz, Thomas G.
8
1990
Diffusion approximation for transport processes with general reflection boundary conditions. Zbl 1206.82088
Costantini, Cristina; Kurtz, Thomas G.
7
2006
A generalization of Dynkin’s identity and some applications. Zbl 0264.60048
Athreya, Krishna B.; Kurtz, Thomas G.
7
1973
The asymptotic behavior of an urn model arising. Zbl 0879.60078
Donnelly, P.; Kurtz, T. G.
7
1996
A multiclass station with Markovian feedback in heavy traffic. Zbl 0910.60073
Dai, J. G.; Kurtz, Thomas G.
7
1995
Existence and uniqueness of reflecting diffusions in cusps. Zbl 1414.60069
Costantini, Cristina; Kurtz, Thomas G.
7
2018
Martingale problems for controlled processes. Zbl 0642.93065
Kurtz, Thomas G.
6
1987
Characterizing the weak convergence of stochastic integrals. Zbl 0738.60053
Kurtz, Thomas G.; Protter, Philip
6
1991
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
Relationships between stochastic and deterministic population models. Zbl 0471.92014
Kurtz, Thomas G.
6
1980
The central limit theorem for Markov chains. Zbl 0478.60034
Kurtz, Thomas G.
6
1981
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
Correlation and variability in birth processes. Zbl 0778.60060
Donnelly, Peter; Kurtz, Thomas; Marjoram, Paul
5
1993
Representation and approximation of counting processes. Zbl 0543.60058
Kurtz, Thomas G.
5
1982
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
Particle representations for measure-valued population processes with spatially varying birth rates. Zbl 0960.60069
Kurtz, Thomas G.
4
2000
Markov selection for constrained martingale problems. Zbl 1428.60108
Costantini, Cristina; Kurtz, Thomas G.
4
2019
Approximation of discontinuous processes by continuous processes. Zbl 0461.60090
Kurtz, Thomas G.
3
1981
Particle representations for stochastic partial differential equations with boundary conditions. Zbl 1430.60054
Crisan, Dan; Janjigian, Christopher; Kurtz, Thomas G.
3
2018
A counterexample for the Trotter product formula. Zbl 0533.47029
Kurtz, Thomas G.; Pierre, Michel
3
1984
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
A probabilistic distributed algorithm for set intersection and its analysis. Zbl 0612.68039
Kurtz, Thomas G.; Manber, Udi
2
1987
Point processes and completely monotone set functions. Zbl 0282.60031
Kurtz, Thomas G.
2
1974
Genealogical constructions of population models. Zbl 1466.60147
Etheridge, Alison M.; Kurtz, Thomas G.
15
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.
90
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.
42
2014
Central limit theorems and diffusion approximations for multiscale Markov chain models. Zbl 1319.60045
Kang, Hye-Won; Kurtz, Thomas G.; Popovic, Lea
27
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.
62
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.
58
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.
8
2011
Product-form stationary distributions for deficiency zero chemical reaction networks. Zbl 1201.92069
Anderson, David F.; Craciun, Gheorghe; Kurtz, Thomas G.
83
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.
211
2006
Asymptotic analysis of multiscale approximations to reaction networks. Zbl 1118.92031
Ball, Karen; Kurtz, Thomas G.; Popovic, Lea; Rempala, Greg
77
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.
276
2005
The approximate Euler method for Lévy driven stochastic differential equations. Zbl 1071.60046
Jacod, Jean; Kurtz, Thomas G.; Méléard, Sylvie; Protter, Philip
53
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.
24
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.
100
1999
Particle representations for a class of nonlinear SPDEs. Zbl 0996.60071
Kurtz, Thomas G.; Xiong, Jie
74
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.
41
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
44
1997
A countable representation of the Fleming-Viot measure-valued diffusion. Zbl 0869.60074
Donnelly, Peter; Kurtz, Thomas G.
61
1996
Weak convergence of stochastic integrals and differential equations. I. Zbl 0862.60041
Kurtz, Thomas G.; Protter, Philip E.
39
1996
Weak convergence of stochastic integrals and differential equations. II: Infinite dimensional case. Zbl 0862.60042
Kurtz, Thomas G.; Protter, Philip E.
33
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
14
1996
The asymptotic behavior of an urn model arising. Zbl 0879.60078
Donnelly, P.; Kurtz, T. G.
7
1996
Stratonovich stochastic differential equations driven by general semimartingales. Zbl 0823.60046
Kurtz, Thomas G.; Pardoux, Étienne; Protter, Philip
46
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.
90
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
A control formulation for constrained Markov processes. Zbl 0728.60078
Kurtz, Thomas G.
11
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
6
1991
Martingale problems for constrained Markov problems. Zbl 0726.60043
Kurtz, Thomas G.
8
1990
Unique characterization of conditional distributions in nonlinear filtering. Zbl 0655.60035
Kurtz, T. G.; Ocone, Daniel L.
55
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.
6
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 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.
13
1982
Representation and approximation of counting processes. Zbl 0543.60058
Kurtz, Thomas G.
5
1982
Approximation of population processes. Zbl 0465.60078
Kurtz, Thomas G.
155
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.
31
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.
6
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.
161
1978
Diffusion approximations for branching processes. Zbl 0405.60080
Kurtz, Thomas G.
16
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.
26
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
Convergence of sequences of semigroups of nonlinear operators with an application to gas kinetics. Zbl 0275.47047
Kurtz, Thomas G.
45
1974
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
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.
89
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.
201
1971
...and 6 more Documents
all top 5

Cited by 4,606 Authors

39 Kurtz, Thomas Gordon
35 Yin, Gang George
32 Budhiraja, Amarjit S.
28 Xiong, Jie
26 Anderson, David Frederick
24 Röckner, Michael
23 Pardoux, Etienne
22 Dawson, Donald Andrew
22 Méléard, Sylvie
21 Bobrowski, Adam
21 Glynn, Peter W.
21 Li, Zenghu
20 Pfaffelhuber, Peter
20 Roberts, Gareth O.
20 Spiliopoulos, Konstantinos V.
20 Zhang, Qing
19 Etheridge, Alison Mary
19 Feng, Shui
19 Pang, Guodong
19 Williams, Ruth J.
18 Ceci, Claudia
18 Chen, Zhen-Qing
18 Kouritzin, Michael A.
18 Whitt, Ward
18 Yin, George Gang
17 Greven, Andreas
17 Kraaij, Richard Clemens
16 Korolyuk, Volodymyr Semenovych
16 Kushner, Harold J.
16 Stockbridge, Richard H.
15 Baake, Ellen
15 Ball, Frank G.
15 Barbour, Andrew David
15 Blath, Jochen
15 Gerardi, Anna
15 Kondrat’yev, Yuriĭ Grygorovych
15 Mandjes, Michel Robertus Hendrikus
15 Mytnik, Leonid
15 Peletier, Mark Adriaan
14 Atar, Rami
14 Casanova, Adrián González
14 Criens, David
14 Dupuis, Paul G.
14 Evans, Steven Neil
14 Perkins, Edwin A.
14 Ramanan, Kavita
14 Ross, Joshua V.
14 Tardelli, Paola
14 Wakolbinger, Anton
13 Bansaye, Vincent
13 Burdzy, Krzysztof
13 Hausenblas, Erika
12 Albeverio, Sergio A.
12 Champagnat, Nicolas
12 Durrett, Richard Timothy
12 Feng, Jin
12 Hairer, Martin
12 Klebaner, Fima C.
12 Neal, Peter J.
12 Popovic, Lea
12 Rempała, Grzegorz A.
12 Tran, Viet Chi
12 Veretennikov, Alexander Yu.
12 Zhu, RongChan
11 Borkar, Vivek Shripad
11 Bortolussi, Luca
11 Cappelletti, Daniele
11 Clancy, Damian
11 Cox, J. Theodore
11 Craciun, Gheorghe
11 Griffiths, Robert C.
11 Jagers, Peter
11 Kyprianou, Andreas E.
11 Luczak, Malwina J.
11 Miclo, Laurent
11 Pollett, Philip K.
11 Renger, D. R. Michiel
11 Smadi, Charline
11 Swart, Jan M.
11 Véber, Amandine
11 Xue, Xiaofeng
11 Zhu, Xiang-Chan
11 Zwart, Bert P.
10 Britton, Tom
10 Crisan, Dan O.
10 Cuchiero, Christa
10 Fleischmann, Klaus
10 Kolokoltsov, Vassili N.
10 Komorowski, Tomasz
10 Kulik, Alexey M.
10 Lambert, Amaury
10 Ma, Chunhua
10 Perkowski, Nicolas
10 Rathinam, Muruhan
10 Redig, Frank
10 Rizzolo, Douglas
10 Rüdiger, Barbara
10 Sandrić, Nikola
10 Schilling, René Leander
10 Słomiński, Leszek
...and 4,506 more Authors
all top 5

Cited in 460 Serials

388 Stochastic Processes and their Applications
275 The Annals of Applied Probability
170 The Annals of Probability
128 Journal of Mathematical Biology
125 Probability Theory and Related Fields
109 Electronic Journal of Probability
102 Journal of Statistical Physics
82 Theoretical Population Biology
82 Queueing Systems
81 Journal of Applied Probability
79 Journal of Theoretical Probability
78 Advances in Applied Probability
71 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
64 Journal of Mathematical Analysis and Applications
63 Statistics & Probability Letters
62 Mathematical Biosciences
55 Bulletin of Mathematical Biology
54 Stochastic Analysis and Applications
53 Bernoulli
52 Journal of Functional Analysis
45 Journal of Differential Equations
41 Applied Mathematics and Optimization
41 Transactions of the American Mathematical Society
39 Stochastics
35 Communications in Mathematical Physics
34 Stochastics and Dynamics
30 Stochastic Systems
29 SIAM Journal on Control and Optimization
28 ALEA. Latin American Journal of Probability and Mathematical Statistics
26 Journal of Econometrics
26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
25 Journal of Computational Physics
25 Discrete and Continuous Dynamical Systems. Series B
23 Acta Applicandae Mathematicae
23 Potential Analysis
23 Econometric Theory
23 Journal of Theoretical Biology
22 Journal of Multivariate Analysis
20 Lithuanian Mathematical Journal
20 SIAM Journal on Applied Mathematics
20 Finance and Stochastics
20 Stochastic Models
19 Theory of Probability and Mathematical Statistics
19 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
19 Journal of Evolution Equations
19 Stochastic and Partial Differential Equations. Analysis and Computations
18 Electronic Communications in Probability
17 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
17 SIAM Journal on Applied Dynamical Systems
16 Mathematics of Operations Research
16 Theoretical Computer Science
16 Multiscale Modeling & Simulation
15 Proceedings of the American Mathematical Society
15 Insurance Mathematics & Economics
15 Physica D
15 Methodology and Computing in Applied Probability
15 Mathematical Biosciences and Engineering
15 Journal of Physics A: Mathematical and Theoretical
14 Physica A
14 Automatica
14 Annals of Operations Research
14 Journal of Mathematical Sciences (New York)
14 International Journal of Theoretical and Applied Finance
14 Acta Mathematica Sinica. English Series
14 Probability in the Engineering and Informational Sciences
14 Science China. Mathematics
13 Archive for Rational Mechanics and Analysis
13 The Annals of Statistics
13 Journal of Optimization Theory and Applications
13 Semigroup Forum
13 Discrete and Continuous Dynamical Systems
13 SIAM/ASA Journal on Uncertainty Quantification
12 Stochastics
12 Journal of Statistical Planning and Inference
12 Communications in Statistics. Theory and Methods
12 Statistics and Computing
11 Journal of Computational and Applied Mathematics
11 Frontiers of Mathematics in China
11 Electronic Journal of Statistics
11 SIAM Journal on Financial Mathematics
10 Journal of Mathematical Physics
10 Systems & Control Letters
10 Operations Research Letters
10 Cybernetics and Systems Analysis
9 Computers & Mathematics with Applications
9 Nonlinearity
9 Ukrainian Mathematical Journal
9 Memoirs of the American Mathematical Society
9 SIAM Journal on Numerical Analysis
9 Journal of Economic Dynamics & Control
9 SIAM Journal on Mathematical Analysis
9 Journal of Dynamics and Differential Equations
9 Calculus of Variations and Partial Differential Equations
9 Probability Surveys
8 Communications on Pure and Applied Mathematics
8 Operations Research
8 Mathematical and Computer Modelling
8 Random Structures & Algorithms
8 Mathematical Methods of Operations Research
8 Journal of Statistical Mechanics: Theory and Experiment
...and 360 more Serials
all top 5

Cited in 55 Fields

3,599 Probability theory and stochastic processes (60-XX)
963 Biology and other natural sciences (92-XX)
546 Partial differential equations (35-XX)
386 Statistics (62-XX)
370 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
345 Statistical mechanics, structure of matter (82-XX)
345 Operations research, mathematical programming (90-XX)
330 Numerical analysis (65-XX)
293 Systems theory; control (93-XX)
226 Operator theory (47-XX)
192 Dynamical systems and ergodic theory (37-XX)
187 Ordinary differential equations (34-XX)
162 Computer science (68-XX)
144 Calculus of variations and optimal control; optimization (49-XX)
128 Combinatorics (05-XX)
80 Fluid mechanics (76-XX)
68 Global analysis, analysis on manifolds (58-XX)
43 Functional analysis (46-XX)
43 Classical thermodynamics, heat transfer (80-XX)
35 Quantum theory (81-XX)
34 Potential theory (31-XX)
33 Measure and integration (28-XX)
27 Mechanics of particles and systems (70-XX)
24 Integral equations (45-XX)
23 Approximations and expansions (41-XX)
22 Real functions (26-XX)
21 Linear and multilinear algebra; matrix theory (15-XX)
18 Information and communication theory, circuits (94-XX)
16 Abstract harmonic analysis (43-XX)
16 Differential geometry (53-XX)
16 Geophysics (86-XX)
15 Special functions (33-XX)
13 Topological groups, Lie groups (22-XX)
12 Difference and functional equations (39-XX)
11 General and overarching topics; collections (00-XX)
10 Mechanics of deformable solids (74-XX)
9 Number theory (11-XX)
7 General topology (54-XX)
5 History and biography (01-XX)
5 Mathematical logic and foundations (03-XX)
5 Optics, electromagnetic theory (78-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
3 Nonassociative rings and algebras (17-XX)
3 Functions of a complex variable (30-XX)
3 Integral transforms, operational calculus (44-XX)
3 Convex and discrete geometry (52-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 Relativity and gravitational theory (83-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)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.