World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
54
Citations
22799
World Ranking
810
National Ranking
393

Research.com Recognitions

  • 2020 - Fellow of the American Mathematical Society For research in probability and its applications, especially for contributions to the study of Markov processes.
  • 2014 - Wald Memorial Lecturer
  • 2005 - Fellow of the American Academy of Arts and Sciences

Overview

Thomas G. Kurtz is a researcher affiliated with the University of Wisconsin-Madison in the United States. Their work spans primarily the fields of Mathematics and Medicine, contributing substantially to both areas through diverse interdisciplinary studies. The subfields they engage with include Mathematical Physics, Statistics and Probability, Sociology and Political Science, Orthopedics and Sports Medicine, and Biomedical Engineering.

The scientist's research topics cover several specialized domains, such as stochastic processes and statistical mechanics, bone health and osteoporosis research, elasticity and material modeling, Markov chains and Monte Carlo methods, stochastic processes and financial applications, mathematical and theoretical epidemiology and ecology models, and evolution and genetic dynamics.

Thomas G. Kurtz's recent publications demonstrate the breadth of their research interests and expertise. These papers include:

  • "Looking forwards and backwards: Dynamics and genealogies of locally regulated populations," 2024, Electronic Journal of Probability
  • "Method for Evaluating Cortical Bone Young's Modulus: Numerical Twin Reconstruction, Finite Element Calculation, and Microstructure Analysis," 2023, Journal of Biomechanical Engineering
  • "Stroke thrombolysis given by emergency physicians: The time is here," 2023, The American Journal of Emergency Medicine
  • "A reverse ergodic theorem for inhomogeneous killed Markov chains and application to a new uniqueness result for reflecting diffusions," 2024, The Annals of Applied Probability
  • "Macrocrack propagation in a notched shaft segment of human long bone: Experimental results and mechanical aspects," 2022, Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials

Thomas G. Kurtz frequently publishes in venues such as arXiv (Cornell University), the Journal of the mechanical behavior of biomedical materials, Electronic Journal of Probability, the Journal of Biomechanical Engineering, and The American Journal of Emergency Medicine.

The scientist collaborates regularly with several coauthors, including Cristina Costantini, Yves Godio-Raboutet, Jean-Louis Tailhan, Karen J. Greenberg, and Erol Veznedaroglu.

Throughout their career, Thomas G. Kurtz has been recognized with several awards. These include election as a Fellow of the American Mathematical Society in 2020 for research in probability and its applications, particularly contributions to the study of Markov processes. They were also a Wald Memorial Lecturer in 2014 and became a Fellow of the American Academy of Arts and Sciences in 2005.

Best Publications

  • Markov Processes: Characterization and Convergence

    Stewart N. Ethier;Thomas G. Kurtz

  • Solutions of ordinary differential equations as limits of pure jump markov processes

    Thomas G. Kurtz

  • Approximation of Population Processes

    Thomas G. Kurtz

  • Weak Limit Theorems for Stochastic Integrals and Stochastic Differential Equations

    Thomas G. Kurtz;Philip Protter

  • Limit theorems for sequences of jump Markov processes approximating ordinary differential processes

    T. G. Kurtz

  • Strong approximation theorems for density dependent Markov chains

    Thomas G. Kurtz

  • The Relationship between Stochastic and Deterministic Models for Chemical Reactions

    Thomas G. Kurtz

  • The changing nature of network traffic: scaling phenomena

    A. Feldmann;A. C. Gilbert;W. Willinger;T. G. Kurtz

  • Large Deviations for Stochastic Processes

    Jin Feng;Thomas G. Kurtz

  • Continuous Time Markov Chain Models for Chemical Reaction Networks

    David F. Anderson;Thomas G. Kurtz

  • Particle Representations for Measure-Valued Population Models

    Peter Donnelly;Thomas G. Kurtz

  • A limit theorem for perturbed operator semigroups with applications to random evolutions

    Thomas G Kurtz

  • Product-form stationary distributions for deficiency zero chemical reaction networks.

    David F. Anderson;Gheorghe Craciun;Thomas G. Kurtz

  • Stochastic Analysis of Biochemical Systems

    David F. Anderson;Thomas G. Kurtz

  • Asymptotic analysis of multiscale approximations to reaction networks

    Karen Ball;Thomas G. Kurtz;Lea Popovic;Greg Rempala

  • Fleming-Viot processes in population genetics

    S. N. Ethier;Thomas G. Kurtz

  • Particle representations for a class of nonlinear SPDEs

    Thomas G. Kurtz;Jie Xiong

  • A countable representation of the Fleming-Viot measure-valued diffusion

    Peter Donnelly;Thomas G. Kurtz

  • Semigroups of Conditioned Shifts and Approximation of Markov Processes

    Thomas G. Kurtz

  • Extensions of Trotter's operator semigroup approximation theorems

    Thomas G Kurtz

  • Stochastic equations in infinite dimensions

    Jin Feng;Thomas Kurtz

Frequent Co-Authors

Peter Donnelly
Peter Donnelly University of Oxford
Philip Protter
Philip Protter Columbia University
Steven N. Evans
Steven N. Evans University of California, Berkeley
Dan Crisan
Dan Crisan Imperial College London
William A. Sethares
William A. Sethares University of Wisconsin–Madison
Walter Willinger
Walter Willinger NIKSUN, Inc.
Anna C. Gilbert
Anna C. Gilbert Yale University
Simon Tavaré
Simon Tavaré Columbia University
Carsten Wiuf
Carsten Wiuf University of Copenhagen
Anja Feldmann
Anja Feldmann Max Planck Society

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