"Non UBC"@en .
"DSpace"@en .
"Mueller, Carl"@en .
"2019-03-22T05:03:16Z"@en .
"2018-09-12T09:03"@en .
"Hitting questions play a central role in the theory of Markov processes. For \nexample, it is well known that Brownian motion hits points in one dimension, \nbut not in higher dimensions. For a general Markov process, we can determine \nwhether the process hits a given set in terms of potential theory. There has \nalso been a huge amount of work on the related question of when a process has \nmultiple points. \n\nFor stochastic partial differential equations (SPDE), much less is known, but \nthere has been a growing number of papers on the topic in recent years. \nPotential theory provides an answer in principle. But unfortunately, \nsolutions to SPDE are infinite dimensional processes, and the potential theory \nis intractible. As usual, the critical case is the most difficult. \n\nWe will give a brief survey of known results, followed by a discussion of an \nongoing project with R. Dalang, Y. Xiao, and S. Tindel which promises to \nanswer questions about hitting points and the existence of multiple points in \nthe critical case."@en .
"https://circle.library.ubc.ca/rest/handle/2429/69080?expand=metadata"@en .
"24.0"@en .
"video/mp4"@en .
""@en .
"Author affiliation: University of Rochester"@en .
"Oaxaca (Mexico : State)"@en .
"10.14288/1.0377320"@en .
"eng"@en .
"Unreviewed"@en .
"Vancouver : University of British Columbia Library"@en .
"Banff International Research Station for Mathematical Innovation and Discovery"@en .
"Attribution-NonCommercial-NoDerivatives 4.0 International"@en .
"http://creativecommons.org/licenses/by-nc-nd/4.0/"@en .
"Faculty"@en .
"BIRS Workshop Lecture Videos (Oaxaca (Mexico : State))"@en .
"Mathematics"@en .
"Probability theory and stochastic processes"@en .
"Partial differential equations"@en .
"Hitting questions and multiple points for stochastic PDE in the critical case"@en .
"Moving Image"@en .
"http://hdl.handle.net/2429/69080"@en .