Non-equilibrium fluctuations of interacting particle systems, lecture 1

1 hour 29 mins,  324.46 MB,  iPod Video  480x270,  29.97 fps,  44100 Hz,  497.74 kbits/sec
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Description: Jara, M
Monday 29th October 2018 - 11:00 to 12:30
 
Created: 2018-11-01 14:47
Collection: Scaling limits, rough paths, quantum field theory
Publisher: Isaac Newton Institute
Copyright: Jara, M
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: I will present new entropy methods developed in collaboration with Patrícia Gonçalves and Otávio Menezes (IST, Lisbon) in order to study the large-scale behaviour of interacting particle systems. The first lecture will introduce Yau's relative entropy method and a new variational formula for exponential moments of observables in the context of general Markov processes, and it could be of independent interest. In the second and third lectures I will explain how to derive large-scale limits of non-equilibrium interacting particle systems out of these ideas.
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