In a joint colloquium, Mathematics and Condensed Matter and Surface Science program present Dr. Alexander Vasiliev on”Holomorphic Stochastic Flows” on Thursday, Nov. 13, from 2 to 3:30 p.m. in Morton 318.
Alexander Vasiliev
Vasiliev is Professor of Mathematics at the University of Bergen in Norway.
Abstract: We use the general Loewner theory to define general slit Loewner chains in the unit disk, which in the stochastic case lead to slit holomorphic stochastic flows. Radial, chordal and dipolar SLEs (Schramm (stochastic) Loewner Equation) are classical examples of such flows. Our approach, however, allows to construct new processes of SLE type that possess conformal invariance and the domain Markov property. The local behavior of these processes is similar to that of classical SLEs. We also discuss their coupling with the Gaussian free field. Joint work with Georgy Ivanov and Alexey Tochin.
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