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Chat
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A reverse ergodic theorem for inhomogeneous killed Markov chains and application to a new uniqueness result for reflecting diffusions
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2024
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Cristina Costantini
Thomas G. Kurtz
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Localization for constrained martingale problems and optimal conditions for uniqueness of reflecting diffusions in 2-dimensional domains
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2024
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Cristina Costantini
Thomas G. Kurtz
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PDF
Chat
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Looking forwards and backwards: Dynamics and genealogies of locally regulated populations
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2024
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Alison Etheridge
Thomas G. Kurtz
Ian Letter
Peter L. Ralph
Terence Tsui Ho Lung
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Looking forwards and backwards: dynamics and genealogies of locally regulated populations
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2023
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Alison Etheridge
Thomas G. Kurtz
Ian Letter
Peter L. Ralph
Terence Tsui Ho Lung
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PDF
Chat
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Stochastic differential equations with local interactions
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2023
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Michael A. Kouritzin
Thomas G. Kurtz
Jie Xiong
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+
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Finite Markov Chains Coupled to General Markov Processes and An Application to Metastability I
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2022
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Thomas G. Kurtz
Jason R. Swanson
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+
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Finite Markov Chains Coupled to General Markov Processes and An Application to Metastability II
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2022
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Thomas G. Kurtz
Jason R. Swanson
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+
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Localization for constrained martingale problems and optimal conditions for uniqueness of reflecting diffusions in 2-dimensional domains
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2022
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Cristina Costantini
Thomas G. Kurtz
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PDF
Chat
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Particle Representation for the Solution of the Filtering Problem. Application to the Error Expansion of Filtering Discretizations
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2021
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Dan Crisan
Thomas G. Kurtz
Salvador Ortiz-Latorre
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An inhomogeneous reverse ergodic theorem and application to a new uniqueness result for reflecting diffusions.
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2021
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Cristina Costantini
Thomas G. Kurtz
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PDF
Chat
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Particle representation for the solution of the filtering problem.
Application to the error expansion of filtering discretizations
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2021
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Dan Crisan
Thomas G. Kurtz
Salvador Ortiz-Latorre
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Particle representation for the solution of the filtering problem. Application to the error expansion of filtering discretizations
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2021
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Dan Crisan
Thomas G. Kurtz
Salvador Ortiz-Latorre
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+
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A reverse ergodic theorem for inhomogeneous killed Markov chains and application to a new uniqueness result for reflecting diffusions
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2021
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Cristina Costantini
Thomas G. Kurtz
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+
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Finite Markov chains coupled to general Markov processes and an application to metastability II
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2021
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Thomas G. Kurtz
Jason R. Swanson
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PDF
Chat
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Genealogical constructions of population models
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2019
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Alison Etheridge
Thomas G. Kurtz
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+
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Finite Markov chains coupled to general Markov processes and an application to metastability
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2019
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Thomas G. Kurtz
Jason R. Swanson
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+
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Markov selection for constrained martingale problems
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2019
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Cristina Costantini
Thomas G. Kurtz
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+
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Finite Markov chains coupled to general Markov processes and an application to metastability I
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2019
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Thomas G. Kurtz
Jason R. Swanson
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PDF
Chat
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Genealogical constructions and asymptotics for continuous-time Markov and continuous-state branching processes
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2018
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Thomas G. Kurtz
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+
PDF
Chat
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Non-explosivity of Stochastically Modeled Reaction Networks that are Complex Balanced
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2018
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David F. Anderson
Daniele Cappelletti
Masanori Koyama
Thomas G. Kurtz
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Particle representations for stochastic partial differential equations with boundary conditions
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2018
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Dan Crisan
Christopher Janjigian
Thomas G. Kurtz
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Existence and uniqueness of reflecting diffusions in cusps
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2018
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Cristina Costantini
Thomas G. Kurtz
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Non-explosivity of stochastically modeled reaction networks that are complex balanced
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2017
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David F. Anderson
Daniele Cappelletti
Masanori Koyama
Thomas G. Kurtz
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Linear Programming Formulations of Singular Stochastic Control Problems: Time-Homogeneous Problems
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2017
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Thomas G. Kurtz
Richard H. Stockbridge
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PDF
Chat
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Finite Time Distributions of Stochastically Modeled Chemical Systems with Absolute Concentration Robustness
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2017
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David F. Anderson
Daniele Cappelletti
Thomas G. Kurtz
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Non-explosivity of stochastically modeled reaction networks that are complex balanced
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2017
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David F. Anderson
Daniele Cappelletti
Masanori Koyama
Thomas G. Kurtz
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IMS Panel on Cross-Disciplinary Research in the Statistical Sciences
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2016
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Alfred Blumstein
Amos Eddy
William F. Eddy
Peter C. Jurs
William Kruskal
Thomas G. Kurtz
Gary C. McDonald
Ronald Peierls
Paul Shaman
William Spurgeon
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+
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A NOTE ON SEQUENCES OF CONTINUOUS PARAMETER
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2016
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Thomas G. Kurtz
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Ergodicity and Central Limit Theorems for Markov Processes
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2016
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Thomas G. Kurtz
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Tightness for processes with fixed points of discontinuities and applications in varying environment
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2016
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Vincent Bansaye
Thomas G. Kurtz
Florian Simatos
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PDF
Chat
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Viscosity methods giving uniqueness for martingale problems
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2015
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Cristina Costantini
Thomas G. Kurtz
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+
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Numerical methods
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2015
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David F. Anderson
Thomas G. Kurtz
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+
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Tightness for processes with fixed points of discontinuities and applications in varying environment
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2014
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Vincent Bansaye
Thomas G. Kurtz
Florian Simatos
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PDF
Chat
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Conditional distributions, exchangeable particle systems, and stochastic partial differential equations
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2014
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Dan Crisan
Thomas G. Kurtz
Yoonjung Lee
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PDF
Chat
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Central limit theorems and diffusion approximations for multiscale Markov chain models
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2014
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Hye-Won Kang
Thomas G. Kurtz
Lea Popovic
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+
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Genealogical constructions of population models
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2014
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Alison Etheridge
Thomas G. Kurtz
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+
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Weak and strong solutions of general stochastic models
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2014
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Thomas G. Kurtz
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+
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Genealogical constructions of population models
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2014
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Alison Etheridge
Thomas G. Kurtz
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+
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Weak and strong solutions of general stochastic models
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2013
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Thomas G. Kurtz
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A CLT for empirical processes involving time-dependent data
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2013
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James Kuelbs
Thomas G. Kurtz
Joel Zinn
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PDF
Chat
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Separation of time-scales and model reduction for stochastic reaction networks
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2013
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Hye-Won Kang
Thomas G. Kurtz
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+
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Weak and strong solutions of general stochastic models
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2013
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Thomas G. Kurtz
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PDF
Chat
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Error analysis of tau-leap simulation methods
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2011
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David F. Anderson
Arnab Ganguly
Thomas G. Kurtz
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+
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Poisson representations of branching Markov and measure-valued branching processes
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2011
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Thomas G. Kurtz
Eliane R. Rodrigues
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+
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Equivalence of Stochastic Equations and Martingale Problems
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2010
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Thomas G. Kurtz
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PDF
Chat
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Product-Form Stationary Distributions for Deficiency Zero Chemical Reaction Networks
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2010
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David F. Anderson
Gheorghe CrÄciun
Thomas G. Kurtz
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+
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Separation of time-scales and model reduction for stochastic reaction networks
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2010
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Hye-Won Kang
Thomas G. Kurtz
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+
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The filtered martingale problem
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2009
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Thomas G. Kurtz
Giovanna Nappo
Aldo Moro
|
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PDF
Chat
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Macroscopic limits for stochastic partial differential equations of McKeanâVlasov type
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2008
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Peter Kotelenez
Thomas G. Kurtz
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Product-form stationary distributions for deficiency zero chemical reaction networks
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2008
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David F. Anderson
Gheorghe CrÄciun
Thomas G. Kurtz
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Limit theorems for an epidemic model on the com- plete graph
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2008
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Thomas G. Kurtz
Ălcio Lebensztayn
Alexandre Ribeiro Leichsenring
FĂĄbio P. Machado
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Spatial Point Processes and the Projection Method
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2008
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Nancy L. Garcia
Thomas G. Kurtz
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+
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Product-form stationary distributions for deficiency zero chemical reaction networks
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2008
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David F. Anderson
Gheorghe CrÄciun
Thomas G. Kurtz
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PDF
Chat
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The Yamada-Watanabe-Engelbert theorem for general stochastic equations and inequalities
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2007
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Thomas G. Kurtz
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PDF
Chat
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Asymptotic analysis of multiscale approximations to reaction networks
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2006
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Karen L. Ball
Thomas G. Kurtz
Lea Popovic
Greg A. Rempala
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+
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Large deviations for stochastic processes
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2006
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Jin Feng
Thomas G. Kurtz
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+
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Large deviations for Markov processes and nonlinear semigroup convergence
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2006
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Jin Feng
Thomas G. Kurtz
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+
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Spectral properties for discrete and continuous Laplacians
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2006
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Jin Feng
Thomas G. Kurtz
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+
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Large deviations and nonlinear semigroup convergence using viscosity solutions
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2006
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Jin Feng
Thomas G. Kurtz
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+
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Variational constants, rate of growth and spectral theory for the semigroup of positive linear operators
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2006
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Jin Feng
Thomas G. Kurtz
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+
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Operators and convergence in function spaces
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2006
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Jin Feng
Thomas G. Kurtz
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+
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Nearly deterministic processes in đ
^{đ}
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2006
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Jin Feng
Thomas G. Kurtz
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+
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Random evolutions
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2006
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Jin Feng
Thomas G. Kurtz
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+
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DIFFUSION APPROXIMATION FOR TRANSPORT PROCESSES WITH GENERAL REFLECTION BOUNDARY CONDITIONS
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2006
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Cristina Costantini
Thomas G. Kurtz
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+
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Spatial birth and death processes as solutions of stochastic equations
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2006
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Nancy L. Garcia
Thomas G. Kurtz
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+
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Martingale problems for controlled processes
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2005
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Thomas G. Kurtz
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+
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Averaging for martingale problems and stochastic approximation
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2005
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Thomas G. Kurtz
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+
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Applications of duality to measure-valued diffusion processes
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2005
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Donald A. Dawson
Thomas G. Kurtz
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+
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Representation and approximation of counting processes
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2005
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Thomas G. Kurtz
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PDF
Chat
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A stochastic evolution equation arising from the fluctuations of a class of interacting particle systems
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2004
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Thomas G. Kurtz
Jie Xiong
|
+
PDF
Chat
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When can one detect overdominant selection in the infinite-alleles model?
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2003
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Paul Joyce
Stephen M. Krone
Thomas G. Kurtz
|
+
PDF
Chat
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Gaussian Limits Associated with the Poisson-Dirichlet Distribution and the Ewens Sampling Formula
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2002
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Paul Joyce
Stephen M. Krone
Thomas G. Kurtz
|
+
PDF
Chat
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Stationary Solutions and Forward Equations for Controlled and Singular Martingale Problems
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2001
|
Thomas G. Kurtz
Richard H. Stockbridge
|
+
PDF
Chat
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Continuum-sites stepping-stone models, coalescing exchangeable partitions and random trees
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2000
|
Peter Donnelly
Steven N. Evans
Klaus Fleischmann
Thomas G. Kurtz
Xiaowen Zhou
|
+
PDF
Chat
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Genealogical processes for Fleming-Viot models with selection and recombination
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1999
|
Peter Donnelly
Thomas G. Kurtz
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+
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Particle representations for a class of nonlinear SPDEs
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1999
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Thomas G. Kurtz
Jie Xiong
|
+
PDF
Chat
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Particle Representations for Measure-Valued Population Models
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1999
|
Peter Donnelly
Thomas G. Kurtz
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+
PDF
Chat
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Coupling and ergodic theorems for Fleming-Viot processes
|
1998
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S. N. Ethier
Thomas G. Kurtz
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+
PDF
Chat
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Martingale Problems for Conditional Distributions of Markov Processes
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1998
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Thomas G. Kurtz
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+
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Continuum-sites stepping-stone models, coalescing exhcangeable partitions, and random trees
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1998
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Peter Donnelly
Steven N. Evans
Klaus Fleischmann
Thomas G. Kurtz
Xiaowen Zhou
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+
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A Conceptual Proof of the Kesten-Stigum Theorem for Multi-Type Branching Processes
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1997
|
Thomas G. Kurtz
Russell Lyons
Robin Pemantle
Yuval Peres
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+
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The asymptotic behavior of an urn model arising in population genetics
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1996
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Peter Donnelly
Thomas G. Kurtz
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+
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A countable representation of the Fleming-Viot measure-valued diffusion
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1996
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Peter Donnelly
Thomas G. Kurtz
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+
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Weak convergence of stochastic integrals and differential equations
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1996
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Thomas G. Kurtz
Philip Protter
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+
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Weak convergence of stochastic integrals and differential equations II: Infinite dimensional case
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1996
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Thomas G. Kurtz
Philip Protter
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+
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Stratonovich stochastic differential equations driven by general semimartingales
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1995
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Thomas G. Kurtz
Ătienne Pardoux
Philip Protter
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+
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Convergence to Fleming-Viot processes in the weak atomic topology
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1994
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S. N. Ethier
Thomas G. Kurtz
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+
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Large loss networks
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1994
|
P. J. Hunt
Thomas G. Kurtz
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+
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Correlation and variability in birth processes
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1993
|
Peter Donnelly
Thomas G. Kurtz
Paul Marjoram
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+
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Correlation and variability in birth processes
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1993
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Peter Donnelly
Thomas G. Kurtz
Paul Marjoram
|
+
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FlemingâViot Processes in Population Genetics
|
1993
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S. N. Ethier
Thomas G. Kurtz
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+
PDF
Chat
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On the Stationary Distribution of the Neutral Diffusion Model in Population Genetics
|
1992
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S. N. Ethier
Thomas G. Kurtz
|
+
PDF
Chat
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On the Functional Central Limit Theorem for the Ewens Sampling Formula
|
1991
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Peter Donnelly
Thomas G. Kurtz
Simon TavarĂŠ
|
+
PDF
Chat
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Weak Limit Theorems for Stochastic Integrals and Stochastic Differential Equations
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1991
|
Thomas G. Kurtz
Philip Protter
|
+
PDF
Chat
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Random Time Changes and Convergence in Distribution Under the Meyer-Zheng Conditions
|
1991
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Thomas G. Kurtz
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+
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Markov Processes: Characterization and Convergence.
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1987
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Andris Abakuks
S. N. Ethier
Thomas G. Kurtz
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+
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The Infinitely-Many-Alleles Model with Selection as a Measure-Valued Diffusion
|
1987
|
S. N. Ethier
Thomas G. Kurtz
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+
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Density Dependent Population Processes
|
1986
|
S. N. Ethier
Thomas G. Kurtz
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+
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Invariance Principles and Diffusion Approximations
|
1986
|
S. N. Ethier
Thomas G. Kurtz
|
+
PDF
Chat
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Wiley Series in Probability and Statistics
|
1986
|
S. N. Ethier
Thomas G. Kurtz
|
+
PDF
Chat
|
Index
|
1986
|
S. N. Ethier
Thomas G. Kurtz
Keiding Kenz
|
+
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Branching Processes
|
1986
|
S. N. Ethier
Thomas G. Kurtz
|
+
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Random Evolutions
|
1986
|
S. N. Ethier
Thomas G. Kurtz
|
+
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References
|
1986
|
S. N. Ethier
Thomas G. Kurtz
|
+
PDF
Chat
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Appendixes
|
1986
|
S. N. Ethier
Thomas G. Kurtz
|
+
PDF
Chat
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Unique characterization of conditional distributions in nonlinear filtering
|
1984
|
Thomas G. Kurtz
Daniel Ocone
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+
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A counterexample for the Trotter product formula
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1984
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Thomas G. Kurtz
Michel Pierre
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+
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Approaches to weak convergence
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1984
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Thomas G. Kurtz
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+
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Approximation of Population Processes.
|
1983
|
Ian Saunders
Thomas G. Kurtz
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+
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The infinitely-many-neutral-alleles diffusion model
|
1981
|
S. N. Ethier
Thomas G. Kurtz
|
+
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The infinitely-many-neutral-alleles diffusion model
|
1981
|
S. N. Ethier
Thomas G. Kurtz
|
+
PDF
Chat
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The Central Limit Theorem for Markov Chains
|
1981
|
Thomas G. Kurtz
|
+
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Approximation of Discontinuous Processes by Continuous Processes
|
1981
|
Thomas G. Kurtz
|
+
PDF
Chat
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6. Branching Markov Processes
|
1981
|
Thomas G. Kurtz
|
+
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9. Epidemic Models
|
1981
|
Thomas G. Kurtz
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+
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5. Diffusion Approximations
|
1981
|
Thomas G. Kurtz
|
+
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Relationships between stochastic and deterministic population models
|
1980
|
Thomas G. Kurtz
|
+
PDF
Chat
|
Representations of Markov Processes as Multiparameter Time Changes
|
1980
|
Thomas G. Kurtz
|
+
PDF
Chat
|
The Optional Sampling Theorem for Martingales Indexed by Directed Sets
|
1980
|
Thomas G. Kurtz
|
+
PDF
Chat
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Necessary and Sufficient Conditions for Complete Convergence in the Law of Large Numbers
|
1980
|
Søren Asmussen
Thomas G. Kurtz
|
+
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Relationships between stochastic and deterministic population models
|
1980
|
Thomas G. Kurtz
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+
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A Variational Formula for the Growth Rate of a Positive Operator Semigroup
|
1979
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Thomas G. Kurtz
|
+
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Strong approximation theorems for density dependent Markov chains
|
1978
|
Thomas G. Kurtz
|
+
PDF
Chat
|
Landau-Kolmogorov Inequalities for Semigroups and Groups
|
1977
|
Melinda W. Certain
Thomas G. Kurtz
|
+
PDF
Chat
|
Landau-Kolmogorov inequalities for semigroups and groups
|
1977
|
Melinda W. Certain
Thomas G. Kurtz
|
+
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An abstract averaging theorem
|
1976
|
Thomas G. Kurtz
|
+
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Limit theorems and diffusion approximations for density dependent Markov chains
|
1976
|
Thomas G. Kurtz
|
+
PDF
Chat
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Semigroups of Conditioned Shifts and Approximation of Markov Processes
|
1975
|
Thomas G. Kurtz
|
+
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Erratum to "Convergence of Sequences of Semigroups of Nonlinear Operators With an Application to Gas Kinetics"
|
1975
|
Thomas G. Kurtz
|
+
PDF
Chat
|
Erratum to: âConvergence of sequences of semigroups of nonlinear operators with an application to gas kineticsâ (Trans. Amer. Math. Soc. 186 (1973), 259â272, 1974)
|
1975
|
Thomas G. Kurtz
|
+
PDF
Chat
|
Berry-Esseen Estimates in Hilbert Space and an Application to the Law of the Iterated Logarithm
|
1974
|
J. Kuelbs
Thomas G. Kurtz
|
+
PDF
Chat
|
Point processes and completely monotone set functions
|
1974
|
Thomas G. Kurtz
|
+
PDF
Chat
|
Convergence of Sequences of Semigroups of Nonlinear Operators with an Application to Gas Kinetics
|
1973
|
Thomas G. Kurtz
|
+
PDF
Chat
|
The Nonexistence of the Yaglom Limit for An Age Dependent Subcritical Branching Process
|
1973
|
Thomas G. Kurtz
Stephen Wainger
|
+
PDF
Chat
|
A Generalization of Dynkin's Identity and Some Applications
|
1973
|
Krishna B. Athreya
Thomas G. Kurtz
|
+
PDF
Chat
|
Convergence of sequences of semigroups of nonlinear operators with an application to gas kinetics
|
1973
|
Thomas G. Kurtz
|
+
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A limit theorem for perturbed operator semigroups with applications to random evolutions
|
1973
|
Thomas G. Kurtz
|
+
PDF
Chat
|
A random Trotter product formula
|
1972
|
Thomas G. Kurtz
|
+
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Limit theorems for sequences of jump Markov processes approximating ordinary differential processes
|
1971
|
Thomas G. Kurtz
|
+
PDF
Chat
|
Comparison of Semi-Markov and Markov Processes
|
1971
|
Thomas G. Kurtz
|
+
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Limit theorems for sequences of jump Markov processes approximating ordinary differential processes
|
1971
|
Thomas G. Kurtz
|
+
PDF
Chat
|
Approximation of Age Dependent, Multitype Branching Processes
|
1970
|
Thomas G. Kurtz
|
+
PDF
Chat
|
A General Theorem on the Convergence of Operator Semigroups
|
1970
|
Thomas G. Kurtz
|
+
PDF
Chat
|
A general theorem on the convergence of operator semigroups
|
1970
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Thomas G. Kurtz
|
+
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Extensions of Trotter's operator semigroup approximation theorems
|
1969
|
Thomas G. Kurtz
|