Seminar Interacting Random Systems

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Mittwoch, 25.11.2020, 11:30 Uhr (Online Event)

Willem van Zuijlen:
Total mass asymptotics of the parabolic Anderson model
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Online Event

Abstrakt
e consider the parabolic Anderson model with a white noise potential in two dimensions. This model is also called the stochastic heat equation with a multiplicative noise. We study the large time asymptotics of the total mass of the solution. Due to the irregularity of the white noise, in two dimensions the equation is a priori not well-posed. Using paracontrolled calculus or regularity structures one can make sense of the equation by a renormalisation, which can be thought of as “subtracting infinity of the potential”. To obtain the asymptotics of the total mass we use the spectral decomposition, an alternative Feynman-Kac type representation and heat-kernel estimates which come from joint works with Khalil Chouk, Wolfgang König and Nicolas Perkowski.

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Seminar Interacting Random Systems

Veranstalter
WIAS Berlin

Mittwoch, 09.12.2020, 11:30 Uhr (Online Event)

Robert Patterson:
tba
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Online Event

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Seminar Interacting Random Systems

Veranstalter
WIAS Berlin

Due to the COVID 19 pandemic, events are currently taking place under restricted circumstances. We offer the seminar online, besides the opportunity to attend it in person in rooms 405/406. As these rooms have a limited capacity of 12 persons, due to hygiene recommendations, we kindly ask those who want to participate in person to register (put your name in the list) in the following google document. If 12 have already registered, please follow the streamed talk. The organisers will send the zoom link shortly before the time of the talk. Please contact the organisers if you are not included in the email list and you want to follow the talk or be kept up to date with the seminar.

Zoom link

Organisers: Luisa Andreis and Willem van Zuijlen