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Cox, J. Theodore

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Author ID: cox.j-theodore Recent zbMATH articles by "Cox, J. Theodore"
Published as: Cox, J. Theodore; Cox, J. T.; Cox, Theodore; Cox, J.; Cox, T.
Homepage: http://asfaculty.syr.edu/pages/math/cox-theodore.html
External Links: MGP · dblp
Documents Indexed: 77 Publications since 1977, including 2 Books

Publications by Year

Citations contained in zbMATH Open

62 Publications have been cited 656 times in 443 Documents Cited by Year
Some limit theorems for percolation processes with necessary and sufficient conditions. Zbl 0462.60012
Cox, J. Theodore; Durrett, Richard
68
1981
Central limit theorems for associated random variables and the percolation model. Zbl 0536.60094
Cox, J. Theodore; Grimmett, Geoffrey
46
1984
Coalescing random walks and voter model consensus times on the torus in \({\mathbb{Z}}^ d\). Zbl 0685.60100
Cox, J. T.
39
1989
Diffusive clustering in the two dimensional voter model. Zbl 0658.60131
Cox, J. Theodore; Griffeath, David
35
1986
Rescaled voter models converge to super-Brownian motion. Zbl 1044.60092
Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A.
26
2000
Large deviations for Poisson systems of independent random walks. Zbl 0551.60028
Cox, J. Theodore; Griffeath, David
24
1984
Greedy lattice animals. I: Upper bounds. Zbl 0818.60039
Cox, J. Theodore; Gandolfi, Alberto; Griffin, Philip S.; Kesten, Harry
24
1993
Occupation times for critical branching Brownian motions. Zbl 0582.60091
Cox, J. Theodore; Griffeath, David
23
1985
Nonlinear voter models. Zbl 0825.60053
Cox, J. T.; Durrett, R.
20
1991
Voter model perturbations and reaction diffusion equations. Zbl 1277.60004
Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A.
18
2013
Oriented percolation in dimensions \(d\geq 4\): bounds and asymptotic formulas. Zbl 0505.60017
Cox, J. Theodore; Durrett, Richard
17
1983
Limit theorems for the spread of epidemics and forest fires. Zbl 0667.92016
Cox, J. T.; Durrett, Richard
17
1988
On the continuity of the time constant of first-passage percolation. Zbl 0474.60085
Cox, J. Theodore; Kesten, Harry
16
1981
Occupation time limit theorems for the voter model. Zbl 0527.60095
Cox, J. Theodore; Griffeath, David
16
1983
Comparison of interacting diffusions and an application to their ergodic theory. Zbl 0853.60080
Cox, J. Theodore; Fleischmann, Klaus; Greven, Andreas
16
1996
The stepping stone model: New formulas expose old myths. Zbl 1016.60089
Cox, J. Theodore; Durrett, Richard
16
2002
Ergodic theorems for infinite systems of locally interacting diffusions. Zbl 0806.60100
Cox, J. T.; Greven, Andreas
15
1994
Rescaled Lotka-Volterra models converge to super-Brownian motion. Zbl 1078.60082
Cox, J. Theodore; Perkins, Edwin A.
13
2005
Super-Brownian limits of voter model clusters. Zbl 1029.60078
Bramson, Maury; Cox, J. Theodore; Le Gall, Jean-François
12
2001
Hybrid zones and voter model interfaces. Zbl 0849.60088
Cox, J. T.; Durrett, R.
11
1995
A duality relation for entrance and exit laws for Markov processes. Zbl 0523.60068
Cox, J. Theodore; Roesler, Uwe
10
1984
Ergodicity of critical spatial branching processes in low dimensions. Zbl 0788.60119
Bramson, Maury; Cox, J. T.; Greven, Andreas
10
1993
Convergence to equilibrium and linear systems duality. Zbl 0955.60098
Cox, J. Theodore; Klenke, Achim; Perkins, Edwin A.
10
2000
On the long term behavior of some finite particle systems. Zbl 0671.60103
Cox, J. T.; Greven, Andreas
10
1990
The stepping stone model. II: Genealogies and the infinite sites model. Zbl 1082.60097
Zähle, Iljana; Cox, J. Theodore; Durrett, Richard
9
2005
Recurrence and ergodicity of interacting particle systems. Zbl 0954.60095
Cox, J. Theodore; Klenke, Achim
8
2000
The time constant of first-passage percolation on the square lattice. Zbl 0442.60096
Cox, J. Theodore
8
1980
Survival and coexistence in stochastic spatial Lotka-Volterra models. Zbl 1129.60089
Cox, J. Theodore; Perkins, Edwin A.
7
2007
Finite and infinite systems of interacting diffusions. Zbl 0836.60106
Cox, J. T.; Greven, Andreas; Shiga, Tokuzo
7
1995
Entrance laws for Markov chains. Zbl 0369.60079
Cox, J. Theodore
7
1977
Mutually catalytic super branching random walks: Large finite systems and renormalization analysis. Zbl 1063.60143
Cox, J. T.; Dawson, D. A.; Greven, A.
7
2004
Invariant measures of critical spatial branching processes in high dimensions. Zbl 0882.60091
Bramson, Maury; Cox, J. T.; Greven, Andreas
6
1997
Consolidation rates for two interacting systems in the plane. Zbl 0616.60096
Bramson, Maury; Cox, J. Theodore; Griffeath, David
5
1986
Occupation time large deviations of the voter model. Zbl 0621.60107
Bramson, Maury; Cox, J. Theodore; Griffeath, David
5
1988
An alternate proof of a correlation inequality of Harris. Zbl 0536.60095
Cox, J. Theodore
5
1984
On the long term behavior of finite particle systems: A critical dimension example. Zbl 0760.60097
Cox, J. T.; Greven, Andreas
5
1991
Renormalization of the two-dimensional Lotka-Volterra model. Zbl 1141.60060
Cox, J. Theodore; Perkins, Edwin A.
5
2008
Spatial models for species area curves. Zbl 0939.92032
Bramson, Maury; Cox, J. Theodore; Durrett, Richard
5
1996
Evolutionary games on the torus with weak selection. Zbl 1348.91029
Cox, J. Theodore; Durrett, Rick
5
2016
Coexistence in a two-dimensional Lotka-Volterra model. Zbl 1226.60131
Cox, J. Theodore; Merle, Mathieu; Perkins, Edwin A.
4
2010
A spatial model for the abundance of species. Zbl 0935.60100
Bramson, Maury; Cox, J. Theodore; Durrett, Richard
4
1998
An application of the voter model: Super-Brownian motion invariance principle. Zbl 1035.60092
Cox, J. Theodore; Perkins, Edwin A.
4
2004
On the convergence of densities of finite voter models to the Wright-Fisher diffusion. Zbl 1336.60184
Chen, Yu-Ting; Choi, Jihyeok; Cox, J. Theodore
4
2016
Large deviations for independent random walks. Zbl 0692.60028
Cox, J. Theodore; Durrett, Richard
3
1990
The critical contact process seen from the right edge. Zbl 0694.60098
Cox, J. T.; Durrett, R.; Schinazi, R.
3
1991
Central limit theorems for percolation models. Zbl 0512.60094
Cox, J. Theodore; Grimmett, Geoffrey
3
1981
On one-dimensional diffusions with time parameter set \((-\infty,\infty)\). Zbl 0376.60078
Cox, J. Theodore
3
1977
How porous is the graph of Brownian motion? Zbl 0723.60101
Cox, J. T.; Griffin, Philip S.
3
1991
Large deviations for some infinite particle system occupation times. Zbl 0569.60024
Cox, J. Theodore; Griffeath, David
2
1985
Survival and coexistence for a multitype contact process. Zbl 1181.60143
Cox, J. Theodore; Schinazi, Rinaldo B.
2
2009
The finite systems scheme: An abstract theorem and a new example. Zbl 0811.60090
Cox, J. Theodore; Greven, Andreas
2
1994
Rescaled interacting diffusions converge to super Brownian motion. Zbl 1030.60090
Cox, J. Theodore; Klenke, Achim
2
2003
Mean field asymptotics for the planar stepping stone model. Zbl 0669.60093
Cox, J. T.; Griffeath, David
2
1990
Recent results for the stepping stone model. Zbl 0625.60115
Cox, J. Theodore; Griffeath, David
1
1987
Some limit theorems for voter model occupation times. Zbl 0656.60105
Cox, J. T.
1
1988
Intermediate range migration in the two-dimensional stepping stone model. Zbl 1234.60094
Cox, J. Theodore
1
2010
On the ergodic theory of critical branching Markov chains. Zbl 0796.60088
Cox, J. T.
1
1994
An alternate proof of a theorem of Kesten concerning Markov random fields. Zbl 0395.60096
Cox, J. Theodore
1
1979
Further results on one-dimensional diffusions with time parameter set \((-\infty,\infty)\). Zbl 0401.60073
Cox, Theodore
1
1979
The genealogy of a cluster in the multitype voter model. Zbl 1108.60317
Cox, J. Theodore; Geiger, Jochen
1
2000
A stochastic model for the evolution of the influenza virus. Zbl 1323.92201
Cox, J. T.; Schinazi, R. B.
1
2014
Weak atomic convergence of finite voter models toward Fleming-Viot processes. Zbl 1388.60158
Chen, Yu-Ting; Cox, J. Theodore
1
2018
Weak atomic convergence of finite voter models toward Fleming-Viot processes. Zbl 1388.60158
Chen, Yu-Ting; Cox, J. Theodore
1
2018
Evolutionary games on the torus with weak selection. Zbl 1348.91029
Cox, J. Theodore; Durrett, Rick
5
2016
On the convergence of densities of finite voter models to the Wright-Fisher diffusion. Zbl 1336.60184
Chen, Yu-Ting; Choi, Jihyeok; Cox, J. Theodore
4
2016
A stochastic model for the evolution of the influenza virus. Zbl 1323.92201
Cox, J. T.; Schinazi, R. B.
1
2014
Voter model perturbations and reaction diffusion equations. Zbl 1277.60004
Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A.
18
2013
Coexistence in a two-dimensional Lotka-Volterra model. Zbl 1226.60131
Cox, J. Theodore; Merle, Mathieu; Perkins, Edwin A.
4
2010
Intermediate range migration in the two-dimensional stepping stone model. Zbl 1234.60094
Cox, J. Theodore
1
2010
Survival and coexistence for a multitype contact process. Zbl 1181.60143
Cox, J. Theodore; Schinazi, Rinaldo B.
2
2009
Renormalization of the two-dimensional Lotka-Volterra model. Zbl 1141.60060
Cox, J. Theodore; Perkins, Edwin A.
5
2008
Survival and coexistence in stochastic spatial Lotka-Volterra models. Zbl 1129.60089
Cox, J. Theodore; Perkins, Edwin A.
7
2007
Rescaled Lotka-Volterra models converge to super-Brownian motion. Zbl 1078.60082
Cox, J. Theodore; Perkins, Edwin A.
13
2005
The stepping stone model. II: Genealogies and the infinite sites model. Zbl 1082.60097
Zähle, Iljana; Cox, J. Theodore; Durrett, Richard
9
2005
Mutually catalytic super branching random walks: Large finite systems and renormalization analysis. Zbl 1063.60143
Cox, J. T.; Dawson, D. A.; Greven, A.
7
2004
An application of the voter model: Super-Brownian motion invariance principle. Zbl 1035.60092
Cox, J. Theodore; Perkins, Edwin A.
4
2004
Rescaled interacting diffusions converge to super Brownian motion. Zbl 1030.60090
Cox, J. Theodore; Klenke, Achim
2
2003
The stepping stone model: New formulas expose old myths. Zbl 1016.60089
Cox, J. Theodore; Durrett, Richard
16
2002
Super-Brownian limits of voter model clusters. Zbl 1029.60078
Bramson, Maury; Cox, J. Theodore; Le Gall, Jean-François
12
2001
Rescaled voter models converge to super-Brownian motion. Zbl 1044.60092
Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A.
26
2000
Convergence to equilibrium and linear systems duality. Zbl 0955.60098
Cox, J. Theodore; Klenke, Achim; Perkins, Edwin A.
10
2000
Recurrence and ergodicity of interacting particle systems. Zbl 0954.60095
Cox, J. Theodore; Klenke, Achim
8
2000
The genealogy of a cluster in the multitype voter model. Zbl 1108.60317
Cox, J. Theodore; Geiger, Jochen
1
2000
A spatial model for the abundance of species. Zbl 0935.60100
Bramson, Maury; Cox, J. Theodore; Durrett, Richard
4
1998
Invariant measures of critical spatial branching processes in high dimensions. Zbl 0882.60091
Bramson, Maury; Cox, J. T.; Greven, Andreas
6
1997
Comparison of interacting diffusions and an application to their ergodic theory. Zbl 0853.60080
Cox, J. Theodore; Fleischmann, Klaus; Greven, Andreas
16
1996
Spatial models for species area curves. Zbl 0939.92032
Bramson, Maury; Cox, J. Theodore; Durrett, Richard
5
1996
Hybrid zones and voter model interfaces. Zbl 0849.60088
Cox, J. T.; Durrett, R.
11
1995
Finite and infinite systems of interacting diffusions. Zbl 0836.60106
Cox, J. T.; Greven, Andreas; Shiga, Tokuzo
7
1995
Ergodic theorems for infinite systems of locally interacting diffusions. Zbl 0806.60100
Cox, J. T.; Greven, Andreas
15
1994
The finite systems scheme: An abstract theorem and a new example. Zbl 0811.60090
Cox, J. Theodore; Greven, Andreas
2
1994
On the ergodic theory of critical branching Markov chains. Zbl 0796.60088
Cox, J. T.
1
1994
Greedy lattice animals. I: Upper bounds. Zbl 0818.60039
Cox, J. Theodore; Gandolfi, Alberto; Griffin, Philip S.; Kesten, Harry
24
1993
Ergodicity of critical spatial branching processes in low dimensions. Zbl 0788.60119
Bramson, Maury; Cox, J. T.; Greven, Andreas
10
1993
Nonlinear voter models. Zbl 0825.60053
Cox, J. T.; Durrett, R.
20
1991
On the long term behavior of finite particle systems: A critical dimension example. Zbl 0760.60097
Cox, J. T.; Greven, Andreas
5
1991
The critical contact process seen from the right edge. Zbl 0694.60098
Cox, J. T.; Durrett, R.; Schinazi, R.
3
1991
How porous is the graph of Brownian motion? Zbl 0723.60101
Cox, J. T.; Griffin, Philip S.
3
1991
On the long term behavior of some finite particle systems. Zbl 0671.60103
Cox, J. T.; Greven, Andreas
10
1990
Large deviations for independent random walks. Zbl 0692.60028
Cox, J. Theodore; Durrett, Richard
3
1990
Mean field asymptotics for the planar stepping stone model. Zbl 0669.60093
Cox, J. T.; Griffeath, David
2
1990
Coalescing random walks and voter model consensus times on the torus in \({\mathbb{Z}}^ d\). Zbl 0685.60100
Cox, J. T.
39
1989
Limit theorems for the spread of epidemics and forest fires. Zbl 0667.92016
Cox, J. T.; Durrett, Richard
17
1988
Occupation time large deviations of the voter model. Zbl 0621.60107
Bramson, Maury; Cox, J. Theodore; Griffeath, David
5
1988
Some limit theorems for voter model occupation times. Zbl 0656.60105
Cox, J. T.
1
1988
Recent results for the stepping stone model. Zbl 0625.60115
Cox, J. Theodore; Griffeath, David
1
1987
Diffusive clustering in the two dimensional voter model. Zbl 0658.60131
Cox, J. Theodore; Griffeath, David
35
1986
Consolidation rates for two interacting systems in the plane. Zbl 0616.60096
Bramson, Maury; Cox, J. Theodore; Griffeath, David
5
1986
Occupation times for critical branching Brownian motions. Zbl 0582.60091
Cox, J. Theodore; Griffeath, David
23
1985
Large deviations for some infinite particle system occupation times. Zbl 0569.60024
Cox, J. Theodore; Griffeath, David
2
1985
Central limit theorems for associated random variables and the percolation model. Zbl 0536.60094
Cox, J. Theodore; Grimmett, Geoffrey
46
1984
Large deviations for Poisson systems of independent random walks. Zbl 0551.60028
Cox, J. Theodore; Griffeath, David
24
1984
A duality relation for entrance and exit laws for Markov processes. Zbl 0523.60068
Cox, J. Theodore; Roesler, Uwe
10
1984
An alternate proof of a correlation inequality of Harris. Zbl 0536.60095
Cox, J. Theodore
5
1984
Oriented percolation in dimensions \(d\geq 4\): bounds and asymptotic formulas. Zbl 0505.60017
Cox, J. Theodore; Durrett, Richard
17
1983
Occupation time limit theorems for the voter model. Zbl 0527.60095
Cox, J. Theodore; Griffeath, David
16
1983
Some limit theorems for percolation processes with necessary and sufficient conditions. Zbl 0462.60012
Cox, J. Theodore; Durrett, Richard
68
1981
On the continuity of the time constant of first-passage percolation. Zbl 0474.60085
Cox, J. Theodore; Kesten, Harry
16
1981
Central limit theorems for percolation models. Zbl 0512.60094
Cox, J. Theodore; Grimmett, Geoffrey
3
1981
The time constant of first-passage percolation on the square lattice. Zbl 0442.60096
Cox, J. Theodore
8
1980
An alternate proof of a theorem of Kesten concerning Markov random fields. Zbl 0395.60096
Cox, J. Theodore
1
1979
Further results on one-dimensional diffusions with time parameter set \((-\infty,\infty)\). Zbl 0401.60073
Cox, Theodore
1
1979
Entrance laws for Markov chains. Zbl 0369.60079
Cox, J. Theodore
7
1977
On one-dimensional diffusions with time parameter set \((-\infty,\infty)\). Zbl 0376.60078
Cox, J. Theodore
3
1977
all top 5

Cited by 497 Authors

28 Durrett, Richard Timothy
26 Cox, J. Theodore
13 Greven, Andreas
11 Damron, Michael
11 Perkins, Edwin A.
10 Klenke, Achim
9 Lanchier, Nicolas
8 Fleischmann, Klaus
7 Dawson, Donald Andrew
7 den Hollander, Frank
7 Gorostiza, Luis G.
7 Mountford, Thomas S.
6 Kesten, Harry
6 Swart, Jan M.
6 Xue, Xiaofeng
5 Andjel, Enrique Daniel
5 Etheridge, Alison Mary
5 Hanson, Jack
5 Kubota, Naoki
5 Lalley, Steven P.
5 Lee, Tzong-Yow
5 Liggett, Thomas Milton
5 Mytnik, Leonid
5 Newman, Charles Michael
5 Seppäläinen, Timo
5 Talarczyk, Anna
4 Ahlberg, Daniel
4 Allen, Benjamin L.
4 Bojdecki, Tomasz
4 Bramson, Maury D.
4 Ko, Mi-Hwa
4 Kozitsky, Yuri Vasil’evich
4 Sidoravicius, Vladas
4 Trapman, Pieter
4 van der Hofstad, Remco W.
4 Xing, Guodong
4 Yang, Shanchao
3 Auffinger, Antonio
3 Bakhtin, Yuri Yu.
3 Chatterjee, Sourav
3 Chen, Yu-Ting
3 Garet, Olivier
3 Griffeath, David
3 Grimmett, Geoffrey R.
3 Holmes, Mark P.
3 Hutzenthaler, Martin
3 Kim, Tae-Sung
3 Landim, Claudio
3 Maillard, Grégory
3 Marchand, Régine
3 Neuhauser, Claudia
3 Penrose, Mathew D.
3 Prakasa Rao, B. L. S.
3 Rassoul-Agha, Firas
3 Schonmann, Roberto Henrique
3 Sturm, Anja K.
3 Sun, Rongfeng
3 Wakolbinger, Anton
3 Wiroonsri, Nathakhun
3 Zähle, Iljana
3 Zhang, Yu
2 Aldous, David John
2 Assiotis, Theodoros
2 Benjamini, Itai
2 Bertacchi, Daniela
2 Birkner, Matthias
2 Blath, Jochen
2 Blythe, Richard A.
2 Boivin, Daniel
2 Bulinskiĭ, Aleksandr Vadimovich
2 Camia, Federico
2 Chatterjee, Shirshendu
2 Christofides, Tasos C.
2 Deijfen, Maria
2 Deuschel, Jean-Dominique
2 Dewan, Isha
2 Dey, Partha Sarathi
2 Döring, Leif
2 Evans, Steven Neil
2 Fan, Wai-Tong Louis
2 Fukushima, Ryoki
2 Georgiou, Nicos
2 Handjani, Shirin J.
2 Huo, Ran
2 Iscoe, Ian
2 Jacka, Saul D.
2 Joseph, Mathew
2 Keller, Gerhard
2 Kȩpa-Maksymowicz, Dorota
2 Kondrat’yev, Yuriĭ Grygorovych
2 Kordzakhia, George
2 LaGatta, Tom
2 Leviyang, Sivan
2 Martin, James Benedict
2 McAvoy, Alex
2 Meester, Ronald W. J.
2 Nakajima, Shuta
2 O’Connell, Neil
2 Oliveira, Roberto Imbuzeiro
2 Pemantle, Robin
...and 397 more Authors
all top 5

Cited in 99 Serials

60 The Annals of Probability
43 Stochastic Processes and their Applications
32 The Annals of Applied Probability
30 Journal of Statistical Physics
30 Probability Theory and Related Fields
17 Journal of Theoretical Probability
13 Journal of Applied Probability
11 Statistics & Probability Letters
11 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
11 Electronic Journal of Probability
10 Theoretical Population Biology
8 Communications in Mathematical Physics
7 Journal of Mathematical Biology
7 ALEA. Latin American Journal of Probability and Mathematical Statistics
5 Advances in Applied Probability
5 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
5 Bernoulli
4 Communications on Pure and Applied Mathematics
4 Mathematical Biosciences
4 Stochastic Analysis and Applications
4 Random Structures & Algorithms
4 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
4 Acta Mathematica Sinica. English Series
4 Frontiers of Mathematics in China
3 Stochastics
3 Journal of Functional Analysis
3 Transactions of the American Mathematical Society
3 Communications in Statistics. Theory and Methods
3 Journal of Statistical Mechanics: Theory and Experiment
3 Science China. Mathematics
3 Journal of Theoretical Biology
2 Journal of Mathematical Analysis and Applications
2 Journal of Mathematical Physics
2 Bulletin of Mathematical Biology
2 Journal of Multivariate Analysis
2 Journal of Statistical Planning and Inference
2 Advances in Applied Mathematics
2 SIAM Journal on Discrete Mathematics
2 Science in China. Series A
2 Proceedings of the National Academy of Sciences of the United States of America
2 Potential Analysis
2 Methodology and Computing in Applied Probability
2 Brazilian Journal of Probability and Statistics
2 Probability Surveys
1 Discrete Applied Mathematics
1 Information Processing Letters
1 Journal d’Analyse Mathématique
1 Letters in Mathematical Physics
1 Lithuanian Mathematical Journal
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Metrika
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1 Rocky Mountain Journal of Mathematics
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1 The Mathematical Intelligencer
1 Advances in Mathematics
1 Annals of the Institute of Statistical Mathematics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Inventiones Mathematicae
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1 Proceedings of the Edinburgh Mathematical Society. Series II
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1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of the American Mathematical Society
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1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
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1 Bulletin of the American Mathematical Society. New Series
1 Stochastics and Stochastics Reports
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1 SIAM Journal on Financial Mathematics
1 Analysis and Mathematical Physics
1 ISRN Probability and Statistics
1 SIAM/ASA Journal on Uncertainty Quantification
1 Journal de la Société Française de Statistique & Revue de Statistique Appliquée

Citations by Year