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Mathematics

D-Index
31
Citations
5841
World Ranking
3288
National Ranking
198

Overview

Denis Talay is affiliated with the French Institute for Research in Computer Science and Automation (INRIA) in France. Their research primarily intersects the fields of economics, econometrics, finance, and mathematics, with an emphasis on stochastic processes and financial applications.

The main areas of study covered by Talay's work include:

  • Stochastic processes and financial applications
  • Financial risk and volatility modeling
  • Fractional differential equations solutions
  • Mathematical biology tumor growth
  • Markov chains and Monte Carlo methods
  • Stochastic processes and statistical mechanics
  • Probability and risk models

Talay has contributed to the subfields of finance, modeling and simulation, statistics and probability, mathematical physics, and management science and operations research. Their publication record, spanning a range of notable academic venues, includes:

  • Electronic Journal of Probability
  • Bernoulli
  • ESAIM Probability and Statistics
  • Bulletin of the American Mathematical Society
  • arXiv (Cornell University)

Among the recent papers authored or co-authored by Talay are:

  • A new McKean-Vlasov stochastic interpretation of the parabolic-parabolic Keller-Segel model: The one-dimensional case, 2020, Bernoulli
  • Book Review: Sobolev and viscosity solutions for fully nonlinear elliptic and parabolic equations, 2021, Bulletin of the American Mathematical Society

While not all papers include Talay as the primary author, collaborative work often addresses complex topics in probability and stochastic processes. Other recent works connected to Talay's research network include:

  • Lipschitz continuity in the Hurst parameter of functionals of stochastic differential equations driven by a fractional Brownian motion, 2024, Electronic Journal of Probability
  • A hypothesis test for the domain of attraction of a random variable, 2022, arXiv (Cornell University)
  • A hypothesis test for the domain of attraction of a random variable, 2024, ESAIM Probability and Statistics

Frequent co-authors collaborating with Talay include Héctor Olivero, Alexandre Richard, and Milica Tomašević. Their joint contributions often explore intersections between stochastic modeling and statistical methods.

Best Publications

  • Expansion of the global error for numerical schemes solving stochastic differential equations

    Denis Talay;Luciano Tubaro

  • THE LAW OF THE EULER SCHEME FOR STOCHASTIC DIFFERENTIAL EQUATIONS: I. CONVERGENCE RATE OF THE DISTRIBUTION FUNCTION

    Vlad Bally;Denis Talay

  • The Euler scheme for Lévy driven stochastic differential equations

    Philip Protter;Denis Talay

  • The Law of the Euler Scheme for Stochastic Differential Equations : II. Convergence Rate of the Density

    Vlad Bally;Denis Talay

  • A stochastic particle method for the McKean-Vlasov and the Burgers equation

    Mireille Bossy;Denis Talay

  • Discretization and simulation of stochastic differential equations

    E. Pardoux;E. Pardoux;D. Talay

  • Second order discretization schemes of stochastic differential systems for the computation of the invariant law

    Denis Talay

  • Numerical methods in finance

    L. C. G. Rogers;D. Talay

  • Convergence Rate for the Approximation of the Limit Law of Weakly Interacting Particles 2: Application to the Burgers Equation

    Mireille Bossy;Denis Talay

  • Nonlinear self-stabilizing processes – I Existence, invariant probability, propagation of chaos

    S. Benachour;B. Roynette;D. Talay;P. Vallois

  • Efficient numerical schemes for the approximation of expectations of functionals of the solution of a S.D.E., and applications

    Denis Talay

  • Monte Carlo and quasi-Monte Carlo methods 2004

    Harald Niederreiter;Denis Talay

  • A symmetrized Euler scheme for an efficient approximation of reflected diffusions

    Mireille Bossy;Emmanuel Gobet;Denis Talay

  • Worst case model risk management

    Denis Talay;Ziyu Zheng

  • Probabilistic numerical methods for partial differential equations: Elements of analysis

    Denis Talay

  • Discrétisation d'une équation différentielle stochastique et calcul approché d'espérances de fonctionnelles de la solution

    Denis Talay

  • Modeling the Term Structure of Interest Rates: A Review of the Literature

    Rajna Gibson;Rajna Gibson;Francois Serge Lhabitant;Denis Talay

  • Probabilistic Models for Nonlinear Partial Differential Equations

    Carl Graham;Thomas G. Kurtz;Sylvie Méléard;Philip E. Protter

  • A stochastic particle method with random weights for the computation of statistical solutions of McKean-Vlasov equations

    Denis Talay;Olivier Vaillant

  • Numerical solution of stochastic differential equations

    Denis Talay

  • Clarification and Complement to “Mean-Field Description and Propagation of Chaos in Networks of Hodgkin–Huxley and FitzHugh–Nagumo Neurons”

    Mireille Bossy;Olivier Faugeras;Denis Talay

Frequent Co-Authors

Olivier Faugeras
Olivier Faugeras Université Côte d'Azur
Philip Protter
Philip Protter Columbia University
Harald Niederreiter
Harald Niederreiter Austrian Academy of Sciences
Thomas G. Kurtz
Thomas G. Kurtz University of Wisconsin–Madison
Jean Jacod
Jean Jacod Sorbonne University
Yvon Maday
Yvon Maday Sorbonne University
Etienne Pardoux
Etienne Pardoux Aix-Marseille University
Sylvie Méléard
Sylvie Méléard École Polytechnique
Emmanuel Gobet
Emmanuel Gobet École Polytechnique

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