Survey of research over the past fifty years in stochastic mathematics (S.M.) exploring interdisciplinary frontiers

Mu-Fa Chen
School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China; School of Mathematics and Statistics, Jiangsu Normal University, Suzhou 221116, China

Article ID: 4689

Keywords: stochastic mathematics; statistical physics; Markov processes; spectral gap/eigenvalues; economic optimization

Abstract

This article provides an overview of the explorations over the past fifty years or more, as indicated in the title. The main new areas explored are the first three terms below. The fourth item is a related exploration result. The interaction of stochastic mathematics (S.M.) and statistical physics opens up new frontiers. Interaction of S.M. with other branches of mathematics: a nearly new theory for various stability and its speed estimation. Interaction of S.M. and economy: the first precise theory of economic optimization. Optimization method in deep mathematical research. It is hoped that these experiences would be helpful to future generations.

Published

2026-08-13

How to Cite

Chen, M.-F. (2026). Survey of research over the past fifty years in stochastic mathematics (S.M.) exploring interdisciplinary frontiers. Advances in Differential Equations and Control Processes, 33(3). https://doi.org/10.59400/adecp4689

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Issue

Vol. 33 No. 3 (2026): In Progress

Section

Review

This work is licensed under a Creative Commons Attribution 4.0 International License.

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