Interacting particle systems from the viewpoint of configuration space analysis

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Interacting particle systems from the viewpoint of configuration space analysis

수리과학부 0 2882
구분
일정 2018-10-01(월) 17:00~19:00
세미나실 27동 325호
강연자 TORBEN FATTLER (University of Kaiserslautern)
담당교수 Gerald Trutnau
기타
17:15-18:15 Abstract: The theory of interacting particle systems enables a rigorous analysis of several models that arise in statistical mechanics, biology, economy and other fields. We give an introduction to the theory of interacting particle systems. Our approach is based on the geometry and analysis on continuous configuration space in dimension d. As application we study a contact model in continuum, which describes the spread of an infectious disease. Technically, the contact process is a Markov process on a space of spin configurations. From the evolution of large, interacting particles systems (microscopic models) one can derive mean-field evolution equations. This aspect will also be discussed.
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