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VERSION:2.0
PRODID:-//prob.tw//NTU Seminars V2//EN
CALSCALE:GREGORIAN
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UID:2025-10-30-chen-zhen-qing-boundary-trace-of-symmetric-reflected-diffusions@seminars.prob.tw
DTSTAMP:20261014T103617Z
DTSTART:20251030T073000Z
DTEND:20251030T083000Z
SUMMARY:Boundary trace of symmetric reflected diffusions
DESCRIPTION:陳振慶 (Chen\, Zhen-Qing)\nStarting with a transient irreducible diffusion process $X^0$ on a locally compact separable metric space $(D\, d)$ (for example\, absorbing Brownian motion in a snowflake domain)\, one can construct a canonical symmetric reflected diffusion process $\\\\bar X$ on a completion $D^*$ of $(D\, d)$  through the theory of  reflected Dirichlet spaces. The boundary trace process $\\\\check X$ of $X$ on the boundary $\\\\partial D:=D^*\\\\setminus D$ is the reflected diffusion process $\\\\bar X$ time-changed by a smooth measure $\\\\nu$ having full quasi-support on $\\\\partial D$\, which is unique up to a time change. The Dirichlet form of the trace process $\\\\check X$ is called the trace Dirichlet form. In this talk\, I will address the following two fundamental questions:\n1) How to characterize the boundary trace Dirichlet space in a concrete way?\n2) How does the boundary trace process behave? \nBased on a joint work with Shiping Cao.
LOCATION:台大次震宇宙館 505 室
URL:http://127.0.0.1:8123/?event=2025-10-30-chen-zhen-qing-boundary-trace-of-symmetric-reflected-diffusions
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