You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Shiping Cao (University of Washington)
\n\u201cConvergence of resistances on generalized Sierpinski carpets\u201d<\/p>\n
Abstract: The locally symmetric diffusions, also known as Brownian motions, on generalized Sierpinski carpets were constructed by Barlow and Bass in 1989. On a fixed carpet, by the uniqueness theorem (Barlow-Bass-Kumagai-Teplyaev, 2010), the reflected Brownians motion on level $n$ approximation Euclidean domain, running at speed $lambda_nasymp eta^n$ with $eta$ being a constant depending on the fractal, converges weakly to the Brownian motion on the Sierpinski carpet as $n$ tends to infinity. In this talk, we show the convergence of $lambda_n\/eta^n$. We also give a positive answer to a closely related open question of Barlow-Bass (1990) about the convergence of the renormalized effective resistances between two opposite faces of approximation domains. This talk is based on a joint work with Zhen-Qing Chen.<\/p>\n
Date: Wednesday, October 25, 2023
\nTime: 19:00-20:00, GMT+3
\nPlace: Zoom<\/p>\n
To request the event link, please send a message to goncha@fen.bilkent.edu.tr<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the Analysis Seminar organized by the Department of Mathematics. Speaker: Shiping Cao (University of Washington) \u201cConvergence of resistances on generalized Sierpinski carpets\u201d Abstract: The locally symmetric diffusions, also known as Brownian motions, on generalized Sierpinski carpets were constructed by Barlow and Bass in 1989. On [\u2026] <\/p>\n