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Bernt Øksendal

Bernt Øksendal

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Mathematics
Norway
2026

D-Index & Metrics

Mathematics

D-Index
55
Citations
26457
World Ranking
766
National Ranking
4

Research.com Recognitions

  • 2026 - Research.com Mathematics in Norway Leader Award
  • 2025 - Research.com Mathematics in Norway Leader Award
  • 2023 - Research.com Mathematics in Norway Leader Award
  • 2022 - Research.com Mathematics in Norway Leader Award
  • Member of the Norwegian Academy of Science and Letters Mathematics
  • Member of the Norwegian Academy of Science and Letters Mathematics
  • Member of the Norwegian Academy of Science and Letters Mathematics

Overview

Bernt Øksendal is affiliated with the University of Oslo in Norway. Their research focuses on areas intersecting economics, econometrics, finance, and mathematics, with a strong emphasis on stochastic processes and financial applications.

The primary fields of study include:

  • Economics, Econometrics and Finance
  • Mathematics

Within these fields, notable subfields of work are:

  • Finance
  • Statistical and Nonlinear Physics
  • Modeling and Simulation
  • Mathematical Physics
  • Demography

The main research topics covered include:

  • Stochastic processes and financial applications
  • Financial Risk and Volatility Modeling
  • Advanced Thermodynamics and Statistical Mechanics
  • Stochastic processes and statistical mechanics
  • Mathematical Biology Tumor Growth
  • Insurance, Mortality, Demography, Risk Management
  • Model Reduction and Neural Networks

Bernt Øksendal has published numerous papers, some recent examples are:

  • "Mean-field backward stochastic differential equations and applications" (2022), Systems & Control Letters
  • "The fractional stochastic heat equation driven by time-space white noise" (2023), Fractional Calculus and Applied Analysis
  • "Stochastic Fokker-Planck Equations for Conditional McKean-Vlasov Jump Diffusions and Applications to Optimal Control" (2023), SIAM Journal on Control and Optimization
  • "Impulse Control of Conditional McKean-Vlasov Jump Diffusions" (2024), Journal of Optimization Theory and Applications
  • "Deep Learning and Stochastic Mean-Field Control for a Neural Network Model" (2020), SSRN Electronic Journal

Their frequent coauthors include:

  • Nacira Agram
  • Frank Proske
  • Olena Tymoshenko
  • Rahma Yasmina Moulay Hachemi
  • Giulia Pucci

Bernt Øksendal has also published extensively in certain venues, including:

  • arXiv (Cornell University)
  • SSRN Electronic Journal
  • Stochastics
  • Systems & Control Letters
  • SIAM Journal on Control and Optimization

Recognition includes membership in the Norwegian Academy of Science and Letters in the field of Mathematics.

Best Publications

  • Stochastic differential equations : an introduction with applications

    Bernt Karsten Øksendal

  • Stochastic Differential Equations

    Bernt Øksendal

  • Applied Stochastic Control of Jump Diffusions

    Bernt Karsten Øksendal;Agnès Sulem

  • 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

  • FRACTIONAL WHITE NOISE CALCULUS AND APPLICATIONS TO FINANCE

    Yaozhong Hu;Bernt Øksendal;Bernt Øksendal

  • Malliavin Calculus for Lévy Processes with Applications to Finance

    Giulia Di Nunno;Bernt Karsten Øksendal;Frank Proske

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

    Helge Holden;Bernt Øksendal;Jan Ubøe;Tusheng Zhang

  • Spaces of Analytic Functions

    Otto B. Bekken;Bernt K. Øksendal;Arne Stray

  • Optimal Switching in an Economic Activity Under Uncertainty

    Kjell Arne Brekke;Bernt Oksendal

  • Optimal Consumption and Portfolio with Both Fixed and Proportional Transaction Costs

    Bernt Oksendal;Agnès Sulem

  • Sufficient Stochastic Maximum Principle for the Optimal Control of Jump Diffusions and Applications to Finance

    N. C. Framstad;B. Øksendal;A. Sulem

  • Risk minimizing portfolios and HJBI equations for stochastic differential games

    Sure Mataramvura;Bernt Øksendal

  • Stochastic differential equations (3rd ed.): an introduction with applications

    Bernt Oksendal

  • White noise generalizations of the Clark-Haussmann-Ocone theorem with application to mathematical finance

    Knut K. Aase;Bernt Øksendal;Nicolas Privault;Jan Ubøe

  • Some solvable stochastic control problems with delay

    Ismail Elsanosi;Bernt Øksendal;Agnès Sulem

  • Optimal consumption and portfolio in a jump diffusion market with proportional transaction costs

    Nils Christian Framstad;Bernt Øksendal;Bernt Øksendal;Agnès Sulem

  • OPTIMAL HARVESTING FROM A POPULATION IN A STOCHASTIC CROWDED ENVIRONMENT

    Edward Lungu;Bernt Øksendal

  • White Noise Analysis for Lévy Processes.

    Giulia Di Nunno;Giulia Di Nunno;Bernt Øksendal;Bernt Øksendal;Frank Proske

  • A maximum principle for optimal control of stochastic systems with delay, with applications to finance

    Bernt Øksendal;Agnès Sulem

  • A mean-field stochastic maximum principle via Malliavin calculus

    Thilo Meyer-Brandis;Bernt Øksendal;Xun Yu Zhou

Frequent Co-Authors

Tusheng Zhang
Tusheng Zhang University of Manchester
Yaozhong Hu
Yaozhong Hu University of Alberta
Helge Holden
Helge Holden Norwegian University of Science and Technology
Fred Espen Benth
Fred Espen Benth BI Norwegian Business School
Xun Yu Zhou
Xun Yu Zhou Columbia University
Rodrigo Bañuelos
Rodrigo Bañuelos Purdue University West Lafayette
H. Mete Soner
H. Mete Soner Princeton University
Etienne Pardoux
Etienne Pardoux Aix-Marseille University
Nizar Touzi
Nizar Touzi École Polytechnique

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