Recent progress on stochastic analysis and stochastic control with applications
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Organizer(s): |
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Affiliation:
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Chao Zhu
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University of Wisconsin-Milwaukee
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USA
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Introduction:
| | This session will bring together researchers working at the intersection of stochastic analysis, control theory, and their diverse applications. Recent years have witnessed major advances in the study of complex stochastic systems, such as regime-switching diffusions with law and path dependence, whose asymptotic properties reveal novel aspects of long-term behavior. Parallel progress in stochastic control methods, particularly those incorporating mean-field interactions, has provided powerful tools for optimizing large populations of interacting agents. These theoretical developments have broad applicability across numerous fields: in mathematical finance for modeling systemic risk and trading frictions; in mathematical biology for analyzing population dynamics subject to abrupt interventions; in risk management for quantifying and mitigating uncertainty; in natural resource management for designing sustainable harvesting policies in stochastic environments; and in inventory control for optimizing decisions under volatile supply and demand. By highlighting these advances, the session will deepen our understanding of stochastic systems and stochastic control techniques, stimulate disciplinary and interdisciplinary collaborations, and identify promising new directions for future research.
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