# Difference between revisions of "Probability Seminar"

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<b>Thursdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. | <b>Thursdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. | ||

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== Thursday, September 8, Daniele Cappelletti, [http://www.math.wisc.edu UW-Madison] == | == Thursday, September 8, Daniele Cappelletti, [http://www.math.wisc.edu UW-Madison] == | ||

Title: '''Reaction networks: comparison between deterministic and stochastic models''' | Title: '''Reaction networks: comparison between deterministic and stochastic models''' | ||

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Abstract: Systems with random fluctuations are ubiquitous in the real world. Stochastic PDEs are default models for these random systems, just as PDEs are default models for deterministic systems. However, a large class of such stochastic PDEs were poorly understood until very recently: the presence of very singular random forcing as well as nonlinearities render it challenging to interpret what one even means by a ``solution". The recent breakthroughs by M. Hairer, M. Gubinelli and other researchers including the speaker not only established solution theories for these singular SPDEs, but also led to an explosion of new questions. These include scaling limits of random microscopic models, development of numerical schemes, ergodicity of random dynamical systems and a new approach to quantum field theory. In this talk we will discuss the main ideas of the recent solution theories of singular SPDEs, and how these SPDEs arise as limits of various important physical models. | Abstract: Systems with random fluctuations are ubiquitous in the real world. Stochastic PDEs are default models for these random systems, just as PDEs are default models for deterministic systems. However, a large class of such stochastic PDEs were poorly understood until very recently: the presence of very singular random forcing as well as nonlinearities render it challenging to interpret what one even means by a ``solution". The recent breakthroughs by M. Hairer, M. Gubinelli and other researchers including the speaker not only established solution theories for these singular SPDEs, but also led to an explosion of new questions. These include scaling limits of random microscopic models, development of numerical schemes, ergodicity of random dynamical systems and a new approach to quantum field theory. In this talk we will discuss the main ideas of the recent solution theories of singular SPDEs, and how these SPDEs arise as limits of various important physical models. | ||

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[[Past Seminars]] | [[Past Seminars]] |

## Revision as of 15:09, 31 December 2016

# Spring 2017

**Thursdays in 901 Van Vleck Hall at 2:25 PM**, unless otherwise noted.
**We usually end for questions at 3:15 PM.**

If you would like to sign up for the email list to receive seminar announcements then please send an email to join-probsem@lists.wisc.edu.