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Heat Kernels, Stochastic Processes and Functional Inequalities

dc.date.accessioned2019-10-24T15:24:44Z
dc.date.available2019-10-24T15:24:44Z
dc.date.issued2016
dc.identifier.urihttp://publications.mfo.de/handle/mfo/3559
dc.description.abstractThe general topic of the 2016 workshop Heat kernels, stochastic processes and functional inequalities was the study of linear and non-linear diffusions in geometric environments including smooth manifolds, fractals and graphs, metric spaces and in random environments. The workshop brought together leading researchers from analysis, geometry and probability, and provided an excellent opportunity for interactions between scientists from these areas at different stages of their career. The unifying themes were heat kernel analysis, mass transportation problems and functional inequalities while the program straddled across a great variety of subjects and across the divide that exists between discrete and continuous mathematics. Other unifying concepts such as the notions of metric measure space, Otto Calculus and Lott-Sturm-Villani synthetic Ricci curvature bounds played an important part in the discussions. Novel directions including the study of Liouville quantum gravity were included. The workshop provided participants with an opportunity to discuss how these ideas and techniques can be used to approach problems regarding optimal transport, Riemannian and sub-Riemannian geometry, and analysis and stochastic processes in random media.
dc.titleHeat Kernels, Stochastic Processes and Functional Inequalities
dc.identifier.doi10.14760/OWR-2016-55
local.series.idOWR-2016-55
local.subject.msc58
local.subject.msc46
local.subject.msc31
local.subject.msc53
local.subject.msc60
local.subject.msc35
local.sortindex999
local.date-range27 Nov - 03 Dec 2016
local.workshopcode1648
local.workshoptitleHeat Kernels, Stochastic Processes and Functional Inequalities
local.organizersMasha Gordina, Storrs; Takashi Kumagai, Kyoto; Laurent Saloff-Coste, Ithaca; Karl-Theodor Sturm, Bonn
local.report-nameWorkshop Report 2016,55
local.opc-photo-id1648
local.publishers-doi10.4171/OWR/2016/55
local.ems-referenceGordina Masha, Kumagai Takashi, Saloff-Coste Laurent, Sturm Karl-Theodor: Heat Kernels, Stochastic Processes and Functional Inequalities. Oberwolfach Rep. 13 (2016), 3087-3147. doi: 10.4171/OWR/2016/55


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