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Mathematics

D-Index
34
Citations
7059
World Ranking
2861
National Ranking
185

Overview

Tusheng Zhang is a researcher affiliated with the University of Manchester in the United Kingdom. Their work primarily spans the fields of Mathematics and Economics, Econometrics and Finance, with a particular focus on stochastic processes and their applications in finance and advanced mathematical modeling.

The scientist's research contributions cover a range of topics including:

  • Stochastic processes and financial applications
  • Advanced Mathematical Modeling in Engineering
  • Mathematical Biology Tumor Growth
  • Nonlinear Partial Differential Equations
  • Stability and Controllability of Differential Equations
  • Navier-Stokes equation solutions
  • Stochastic processes and statistical mechanics

Tusheng Zhang has published extensively, with a significant presence in several academic venues. Frequent publication venues include:

  • arXiv (Cornell University)
  • Journal of Differential Equations
  • Bernoulli
  • Potential Analysis
  • Stochastic Processes and their Applications

Selected recent papers highlight the broad range and continued relevance of their work:

  • Large deviation principles for first-order scalar conservation laws with stochastic forcing, 2020, The Annals of Applied Probability
  • Large and Moderate Deviation Principles for McKean-Vlasov SDEs with Jumps, 2022, Potential Analysis
  • Well-posedness of stochastic partial differential equations with fully local monotone coefficients, 2024, Mathematische Annalen
  • Stochastic heat equations with logarithmic nonlinearity, 2022, Journal of Differential Equations
  • Talagrand Inequality on Free Path Space and Application to Stochastic Reaction Diffusion Equations, 2020, Acta Mathematicae Applicatae Sinica English Series

The collaborations of Tusheng Zhang include frequent co-authorship with several researchers, reflecting an active engagement in collaborative projects. Notable co-authors are:

  • Jianliang Zhai
  • Shijie Shang
  • Saisai Yang
  • Rangrang Zhang
  • Tianyi Pan

Their research integrates aspects of applied mathematics and computational theory, contributing also to mathematical physics and modeling and simulation. This multidimensional approach supports work on complex differential equations and stochastic systems relevant to engineering and biological contexts.

Best Publications

  • Stochastic Calculus for Fractional Brownian Motion and Applications

    Francesca Biagini;Yaozhong Hu;Bernt Karsten Øksendal;Tusheng Zhang

  • Stochastic partial differential equations

    Helge Holden;Bernt Øksendal;Jan Ubøe;Tusheng Zhang

  • Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach

    Helge Holden;Bernt Øksendal;Jan Ubøe;Tusheng Zhang

  • Stochastic Partial Differential Equations

    Unknown

  • A study of a class of stochastic differential equations with non-Lipschitzian coefficients

    Shizan Fang;Tusheng Zhang

  • Parabolic SPDEs driven by Poisson white noise

    Sergio Albeverio;Jiang-Lun Wu;Tu-Sheng Zhang

  • Stochastic Partial Differential Equations

    Unknown

  • Stochastic Evolution Equations of Jump Type: Existence, Uniqueness and Large Deviation Principles

    Michael Röckner;Tusheng Zhang

  • Optimal control of stochastic delay equations and time-advanced backward stochastic differential equations

    Bernt Øksendal;Agnès Sulem;Tusheng Zhang

  • The Stable Manifold Theorem for Semilinear Stochastic Evolution Equations and Stochastic Partial Differential Equations

    Salah-Eldin A. Mohammed;Tusheng Zhang;Huaizhong Zhao

  • Decomposition of Dirichlet Processes and its Application

    T. J. Lyons;T. S. Zhang

  • Large deviations and support theorem for diffusion processes via rough paths

    M. Ledoux;Z. Qian;T. Zhang

  • The burgers equation with a noisy force and the stochastic heat equation

    Helge Holden;Tom Lindstrøm;Bernt Øksendal;Jan Ubøe

  • A variational approach to the construction and Malliavin differentiability of strong solutions of SDE’s

    Olivier Menoukeu-Pamen;Thilo Meyer-Brandis;Torstein Nilssen;Frank Proske

  • White noise driven SPDEs with reflection: Existence, uniqueness and large deviation principles

    Tiange Xu;Tusheng Zhang;Tusheng Zhang

  • Stochastic 3D tamed Navier-Stokes equations: Existence, uniqueness and small time large deviation principles

    Michael Röckner;Tusheng Zhang

  • Large Deviations for Stochastic Tamed 3D Navier-Stokes Equations

    Michael Röckner;Michael Röckner;Tusheng Zhang;Xicheng Zhang;Xicheng Zhang

  • A moderate deviation principle for 2-D stochastic Navier-Stokes equations

    Ran Wang;Jian Liang Zhai;Tu Sheng Zhang;Tu Sheng Zhang

  • Large deviations for 2_D stochastic Navier-Stokes equations driven by multiplicative Levy noises

    Unknown

  • White Noise Driven SPDEs with Reflection: Strong Feller Properties and Harnack Inequalities

    Tusheng Zhang;Tusheng Zhang

  • Local times of fractional Brownian sheets

    Yimin Xiao;Tusheng Zhang

  • Absolute continuity of symmetric Markov processes

    Zhen-Qing Chen;P. J. Fitzsimmons;M. Takeda;J. Ying

  • Uniqueness of Generalized Schrödinger Operators, Part II

    M. Röckner;Tu-Sheng Zhang

  • Moderate Deviations for Stochastic Reaction-Diffusion Equations with Multiplicative Noise

    Ran Wang;Tusheng Zhang

  • On the Small Time Asymptotics of Diffusion Processes on Path Groups

    Unknown

  • Stochastic Analysis and Applications

    Fred Espen Benth;Giulia Di Nunno;Tom Lindstrøm;Bernt Øksendal

  • Large deviations for stochastic heat equation with rough dependence in space

    Yaozhong Hu;David Nualart;Tusheng Zhang

Frequent Co-Authors

Bernt Øksendal
Bernt Øksendal University of Oslo
Yaozhong Hu
Yaozhong Hu University of Alberta
Feng-Yu Wang
Feng-Yu Wang Tianjin University
Helge Holden
Helge Holden Norwegian University of Science and Technology
Michael Röckner
Michael Röckner Bielefeld University
Zhen-Qing Chen
Zhen-Qing Chen University of Washington
Jie Xiong
Jie Xiong University of Electronic Science and Technology of China
Peter Imkeller
Peter Imkeller Humboldt-Universität zu Berlin
Davar Khoshnevisan
Davar Khoshnevisan University of Utah
Xicheng Zhang
Xicheng Zhang Wuhan University

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