Archive: Stochastik Rhein-Main

Events

Date Category Speakers Title

07.07.2017 Rhein-Main-Kolloquium

Mikhail Lifshits ((St. Petersburg))
Vitali Wachtel ((Universität Augsburg))

Mikhail Lifshits (St. Petersburg): “Energy saving approximation of random processes”; Vitali Wachtel (Augsburg):First-passage times over moving boundaries for random walks with non-identically distributed increments.

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12.02.2021 Rhein-Main-Kolloquium

Rongfeng Sun (NUS, Singapore)
Nikos Zygouras (Warwick)

RMK Mainz - ONLINE

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03.12.2021 Rhein-Main-Kolloquium

Nina Gantert (Technische Universität München)
Paolo Dai Pra (Università degli Studi di Verona)

RMK Frankfurt - ONLINE EVENT

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19.01.2018 Rhein-Main-Kolloquium

Peter Mörters (Universität Köln)
Steffen Dereich (Universität Münster)

tba

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21.06.2024 Rhein-Main-Kolloquium

Stein Andreas Bethuelsen (University of Bergen)

RMK Mainz

Assign to each lattice point of Z^d a Poissonian number of particles and let each of them evolve independently as discrete-time simple random walks. On top of this dynamically evolving environment we consider an additional random walk whose jump transition depends on whether there are particles present at its location or not. This is the so-called random walk on random walks model. Previous studies have concluded that this model on Z^d, d\geq1, has a diffusive scaling when the density of particles is sufficiently low or sufficiently high. We will argue that this holds for all densities for the model on Z^d with d\geq 5. Our proof of this rely on a novel domination result for the dynamic environment that, when combined with coupling arguments and standard random walk estimates, yield uniform mixing bounds for the so-called local environment process. Based on joint work, partly in progress, with Florian Völlering (University of Leipzig) Read more

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