Семинар факультета математики по Анализу и Вероятности: Angeliki Menegaki

Abstract.

We will present a new quantitative approach to the problem of proving hydrodynamic limits from microscopic stochastic particle systems to macroscopic partial differential equations. We will apply it to the zero-range process. Our method combines a modulated Wasserstein distance estimate comparing the law of the stochastic process to the local Gibbs measure, together with stability estimates a la Kruzhkov in weak distance and consistency estimates exploiting the regularity of the limit solution. It is simplified as it avoids the use of the block estimates. This is a joint work with Clément Mouhot (University of Cambridge) and Daniel Marahrens.

 
The recording will be available on YouTube:  https://www.youtube.com/playlist?list=PLq3E5oubNNoCm_7qmR-waiquRPnzdL4Rb

We warmly invite you to attend the meeting of the seminar. Please feel free to share this announcement with colleagues and students who might be interested.

We look forward to your participation!

Best regards,
Alexander Menovschikov
on behalf of the organizing committee

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