Seminar Interacting Random Systems

go to archive

Wednesday, 19.04.2023, 11:30 (WIAS-405-406)

Tejas Iyer, WIAS Berlin:
Properties of recursive trees with independent fitnesses
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406

Abstract
We study a general model of recursive trees, where nodes are equipped with random weights, arrive one at a time, and connect to existing nodes with probability proportional to a general function of their degree and their weight. We study the limiting infinite tree associated with this model, and show that, under a certain 'explosive' regime, the limiting tree has only a single node of infinite degree, or a single infinite path. We provide sufficient criteria to determine which occurs. Based, in part, on joint work with Bas Lodewijks.

Further Informations
Seminar Interacting Random Systems (Hybrid Event)

Host
WIAS Berlin

Wednesday, 26.04.2023, 11:30 (WIAS-405-406)

Heide Langhammer, WIAS Berlin:
tba
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406

Further Informations
Seminar Interacting Random Systems (Hybrid Event)

Host
WIAS Berlin

Wednesday, 03.05.2023, 11:30 (WIAS-405-406)

Luisa Andreis, Politecnico di Milano, Italien:
tba
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406

Further Informations
Seminar Interacting Random Systems (Hybrid Event)

Host
WIAS Berlin

Tuesday, 09.05.2023, 11:30 (WIAS-405-406)

Julian Kern, WIAS Berlin:
The crux of the non-gradient method
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406

Abstract
Most particle systems that have been studied so far have a so-called gradient property. However, the gradient property seems to be very special and only few systems exhibit it. Unfortunately, non-gradient systems prove to be much harder to analyze. The aim of this talk is to introduce the ideas for proving a hydrodynamic limit (= law of large numbers) for a non-gradient system. Focus is on the structure of the proof. In particular, we will identify which part of the proof becomes much more difficult without the gradient property.

Further Informations
Seminar Interacting Random Systems (Hybrid Event)

Host
WIAS Berlin

Tuesday, 16.05.2023, 11:30 (WIAS-405-406)

Christian Hirsch, Aarhus University, Dänemark:
tba
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406

Further Informations
Seminar Interacting Random Systems (Hybrid Event)

Host
WIAS Berlin

Wednesday, 17.05.2023, 11:30 (WIAS-405-406)

Clément Erignoux, INRIA Lille, Frankreich:
Symmetric and asymmetric hydrodynamics for the facilitated exclusion process via mapping
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406

Abstract
The facilitated exclusion process is a degenerate kinetically constrained lattice gas, in which particles can hop to an empty neighboring site provided that another neighboring site is also occupied. Because of the kinetic constraint, the system in dimension 1 exhibits two phases, a frozen phase at density less than 1/2, and a diffusive phase at density larger than 1/2. For this reason, standard entropic tools cannot be used to straightforwardly derive its macroscopic behavior, in particular its hydrodynamic limit. To workaround this issue, we exploit a classical mapping between exclusion and zero-range processes, and deduce from the hydrodynamic limit of the zero-range process that of the exclusion process. Despite the lack of smoothness of the various macroscopic limits, thanks to the attractiveness of the zero-range process, this allows to derive the hydrodynamic limits in both the symmetric and asymmetric case. Based on JW With O. Blondel, M. Sasada, M. Simon and L. Zhao

Further Informations
Seminar Interacting Random Systems (Hybrid Event)

Host
WIAS Berlin

Wednesday, 24.05.2023, 11:30 (WIAS-405-406)

Renato Soares dos Santos, Universidade Federal de Minas Gerais (UFMG), Brasilien:
tba
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406

Further Informations
Seminar Interacting Random Systems (Hybrid Event)

Host
WIAS Berlin

Wednesday, 07.06.2023, 11:30 (WIAS-405-406)

Günter Last, Karlsruher Institut für Technologie:
tba
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406

Further Informations
Seminar Interacting Random Systems (Hybrid Event)

Host
WIAS Berlin

The IRS seminar is currently offered in a hybrid format -- online and in person. The zoom link will be sent shortly before the time of the talk.

Please contact the organisers if you are not included in the mailing list and would like to follow the talk or be kept up to date with the seminar.

Place:	Weierstrass Institute for Applied Analysis and Stochastics
	Mohrenstraße 39, 10117 Berlin
	Weierstrass Lecture Room (WIAS-405-406) and Online (zoom)
Usual Time:	Wednesdays, 11:30 - 13:00 (CET)
Organiser:	Alexander Zass