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Mathematics

D-Index
51
Citations
10208
World Ranking
1028
National Ranking
477

Research.com Recognitions

  • 2015 - Fellow of the American Mathematical Society For contributions to the theoretical and numerical study of stochastic systems, as well as for editorial contributions and mentoring.
  • 2010 - SIAM Fellow For contributions to stochastics and control.

Overview

Paul Dupuis is affiliated with Brown University in the United States. Their research primarily focuses on Mathematics, with significant work in related subfields including Statistics and Probability, Mathematical Physics, Management Science and Operations Research, and Finance. Their academic contributions span multiple topics, reflecting a broad engagement with stochastic and probabilistic methods.

Dupuis has authored numerous papers addressing areas such as Markov Chains and Monte Carlo Methods, stochastic processes with financial applications, probabilistic and robust engineering design, and the statistical mechanics underpinning stochastic processes. Other main topics of research include statistical mechanics and entropy, advanced queuing theory analysis, and probability and risk models.

Some notable recent papers authored or co-authored by Dupuis are:

  • "The Large Deviation Principle for Interacting Dynamical Systems on Random Graphs" (2022) published in Communications in Mathematical Physics
  • "Sensitivity Analysis for Rare Events Based on Rényi Divergence" (2020) published in The Annals of Applied Probability
  • "Variational Representations and Neural Network Estimation of Rényi Divergences" (2021) published in SIAM Journal on Mathematics of Data Science (co-authored by Jeremiah Birrell)
  • "$(f,Γ)$-Divergences: Interpolating between $f$-Divergences and Integral Probability Metrics" (2020) published in arXiv (Cornell University) (co-authored by Jeremiah Birrell)
  • "Robust Bounds and Optimization at the Large Deviations Scale for Queueing Models via Rényi Divergence" (2021) published in The Annals of Applied Probability (co-authored by Rami Atar)

Dupuis frequently collaborates with other researchers. These include:

  • Amarjit Budhiraja
  • Guo-Jhen Wu
  • Markos A. Katsoulakis
  • Luc Rey-Bellet
  • Ruoyu Wu

Key venues for Dupuis' publications include:

  • arXiv (Cornell University)
  • UNC Libraries
  • The Annals of Applied Probability
  • SIAM Journal on Mathematics of Data Science
  • Communications in Mathematical Physics

Among the recognitions received, Dupuis was named a Fellow of the American Mathematical Society in 2015 for contributions to theoretical and numerical studies of stochastic systems, as well as editorial work and mentoring. In 2010, they were also designated a SIAM Fellow for contributions to stochastics and control.

Best Publications

  • A weak convergence approach to the theory of large deviations

    James Lynch;Paul Dupuis;Richard S. Ellis

  • Variational problems on flows of diffeomorphisms for image matching

    Paul Dupuis;Ulf Grenander

  • A Weak Convergence Approach to the Theory of Large Deviations: Dupuis/A Weak

    Paul Dupuis;Richard S. Ellis

  • Dynamical systems and variational inequalities

    Paul Dupuis;Anna Nagurney

  • Large deviations for infinite dimensional stochastic dynamical systems

    Amarjit Budhiraja;Paul Dupuis;Vasileios Maroulas

  • Minimax optimal control of stochastic uncertain systems with relative entropy constraints

    I.R. Petersen;M.R. James;P. Dupuis

  • A variational representation for certain functionals of Brownian motion

    Michelle Boué;Paul Dupuis

  • On lipschitz continuity of the solution mapping to the skorokhod problem, with applications

    Paul Dupuis;Hitoshi Ishii

  • SDEs with Oblique Reflection on Nonsmooth Domains

    Paul Dupuis;Hitoshi Ishii

  • Importance Sampling, Large Deviations, and Differential Games

    Paul Dupuis;Hui Wang

  • Markov Chain Approximations for Deterministic Control Problems with Affine Dynamics and Quadratic Cost in the Control

    Michelle Boué;Paul Dupuis

  • Lyapunov Functions for Semimartingale Reflecting Brownian Motions

    Paul Dupuis;Ruth J. Williams

  • Variational representations for continuous time processes

    Amarjit Budhiraja;Paul Dupuis;Vasileios Maroulas

  • Subsolutions of an Isaacs Equation and Efficient Schemes for Importance Sampling

    Paul Dupuis;Hui Wang

  • Convex duality and the Skorokhod Problem. II

    Paul Dupuis;Kavita Ramanan

  • Robust properties of risk-sensitive control

    P. Dupuis;M.R. James;I. Petersen

  • Splitting for rare event simulation : A large deviation approach to design and analysis

    Thomas Dean;Paul Dupuis

  • Dynamic importance sampling for queueing networks

    Paul Dupuis;Ali Devin Sezer;Hui Wang

  • Direct method for reconstructing shape from shading

    P. Dupuis;J. Oliensis

  • Large Deviations for Stochastic Partial Differential Equations Driven by a Poisson Random Measure

    Amarjit S Budhiraja;Jiang Chen;Paul Dupuis

  • The large deviation principle for a general class of queueing systems. I

    Paul Dupuis;Richard S. Ellis

  • Analysis and Approximation of Rare Events : Representations and Weak Convergence Methods

    Amarjit Budhiraja;Paul Dupuis

Frequent Co-Authors

Harold J. Kushner
Harold J. Kushner Brown University
Kavita Ramanan
Kavita Ramanan Brown University
Hitoshi Ishii
Hitoshi Ishii Waseda University
Matthew R. James
Matthew R. James Australian National University
Ian R. Petersen
Ian R. Petersen Australian National University
Anna Nagurney
Anna Nagurney University of Massachusetts Amherst
Reuven Y. Rubinstein
Reuven Y. Rubinstein Technion – Israel Institute of Technology
Philip Whiting
Philip Whiting Macquarie University
Markus Meuwly
Markus Meuwly University of Basel
Mark Ainsworth
Mark Ainsworth Brown University

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