Stochastic Dynamics
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Organizer(s): |
Name:
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Affiliation:
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Country:
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Beom-Seok Han
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Sunshin Women`s University
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Korea
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Jae-Hwan Choi
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Korea Institute for Advanced Study
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Korea
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Introduction:
| | Stochastic dynamics plays a central role in the mathematical modeling of systems influenced by randomness, ranging from stochastic partial differential equations to interacting particle systems and random networks. In recent years, significant progress has been made in understanding the qualitative and quantitative properties of solutions to nonlinear and nonlocal stochastic equations, particularly those driven by Lévy processes, colored noise, or white noise. These include questions of well-posedness, Sobolev regularity, and space-time behavior, which are essential in analyzing long-time dynamics and stability.
On the discrete side, models such as Glauber dynamics and exponential random graph models provide insight into the evolution of complex systems, where tools like mixing time and spectral gap estimates become crucial. These settings bring together techniques from stochastic analysis, spectral theory, and statistical mechanics.
This session aims to bring together researchers working at the intersection of probability, analysis, and dynamical systems, with a focus on stochastic models that exhibit nontrivial spatial or temporal structure. The session seeks to showcase recent progress in mathematical theory and techniques relevant to these dynamics.
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