Seminar "Interacting Random Systems"

The IRS seminar is the group seminar of Research Group 5: Interacting random systems and Leibniz Group 6: Probabilistic Methods for Dynamic Communication Networks.

It 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. You can also access the calendar online or download it here.

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

Upcoming talks

  • Wednesday, 27.09.2023, 11:30 (WIAS-405-406)
    Michiel Renger (TU Munich)
    Collisions in the exclusion process

    The simple symmetric exclusion process (SSEP) and a system of independent random walkers both converge to the same diffusion equation. To understand the difference, we count the number of times a SSEP particle would have jumped if the particles were independent, but did not jump because the target site was occupied. This number can also be interpreted as the number of times two SSEP particles collide. We show its hydrodynamic limit using Markov duality. In fact, we are interested in a whole zoo of related microscopic variables, and if time allows I will briefly talk about their large deviations.
    Ongoing work with Mario Ayala (TUM).

  • Wednesday, 04.10.2023, 10:00 (WIAS-ESH)
    Subhro Ghosh (National University of Singapore)
  • Wednesday, 04.10.2023, 11:30 (WIAS-405-406)
    Tiffany Y. Y. Lo (Uppsala University)
  • Wednesday, 11.10.2023, 11:30 (WIAS-405-406)
    Bas Lodewijks (Augsburg University)
    Long-range first-passage percolation on the complete graph

    We consider first-passage percolation on the complete graph $K_n\,$, where vertices have a spatial position on the $d$-dimensional torus. For $\alpha\geq 0$, each edge $e$ in the graph is assigned an independent transmission time $T_e$, which is the product of a rate-one exponential random variable and the spatial length of the edge, raised to the power $\alpha$. When $\alpha=0$ we obtain the non-spatial case of first-passage percolation on the complete graph. We study the behaviour of the random metric induced by the transmission times in the case that $\alpha < d$. In particular, we investigate the typical distance, flooding time, and diameter of the graph, and obtain results akin to the well-established results for $\alpha=0$ case. If time permits, we shall also look into on-going work on competing long-range first-passage percolation, where two infections with possibly different transmission times occupy the vertices of the graph over time. Here, we investigate the possibility of coexistence, among other things.
    Mostly joint work with Remco van der Hofstad, and partially with Neeladri Maitra.

  • Wednesday, 18.10.2023, 11:30 (WIAS-405-406)
    Simone Floreani (Oxford University)
  • Wednesday, 01.11.2023, 11:30 (WIAS-405-406)
    Wolfgang König (WIAS and TU Berlin)
  • Wednesday, 15.11.2023, 11:30 (WIAS-405-406)
    Elena Magnanini (WIAS Berlin)
  • Wednesday, 29.11.2023, 11:30 (WIAS-405-406)
    Robert Patterson (WIAS Berlin)
  • Wednesday, 13.12.2023, 11:30 (WIAS-405-406)
    Beatriz Salvador (Technical University of Lisbon)
Past seminars
  • 2023

    • 12.07.2023, Andreas Klippel (TU Darmstadt): Comparison of the random loop model to percolation and infinite loops in the random link model
    • 06.07.2023, Naotaka Kajino (Kyoto University): Two-sided bounds on tail probabilities of the number of collisions of random walks
    • 06.07.2023, Yuki Tokushige (University of Manchester): Scaling Limits of SRWs on the Long-Range Percolation Cluster
    • 28.06.2023, Céline Kerriou (Universität zu Köln): Condensation in scale-free geometric graphs with excess edges
    • 21.06.2023, Sanjoy Kumar Jhawar (WIAS Berlin): Moderate deviations in Poisson navigations
    • 07.06.2023, Günter Last (Karlsruher Institut für Technologie): A Palm approach to tail processes and tail measures
    • 24.05.2023, Renato Soares dos Santos (UFMG, Brasil): Ballistic random walk on the zero-range process
    • 17.05.2023, Clément Erignoux (INRIA Lille): Symmetric and asymmetric hydrodynamics for the facilitated exclusion process via mapping
    • 16.05.2023, Christian Hirsch (Aarhus University): On the topology of higher-order age-dependent random connection model
    • 11-12-15.05.2023, Julian Kern (WIAS Berlin): Mini course: A unified approach to non-gradient systems (notes here)
    • 09.05.2023, Julian Kern (WIAS Berlin): The crux of the non-gradient method (notes here)
    • 03.05.2023, Luisa Andreis (Politecnico di Milano): Rare events for sparse random graphs and some new large deviation results
    • 26.04.2023, Heide Langhammer (WIAS Berlin): LDP for the particle statistics in a spatial coagulation process
    • 19.04.2023, Tejas Iyer (WIAS Berlin): Properties of recursive trees with independent fitnesses
    • 15.03.2023, Christof Külske (Ruhr Universität Bochum): New states with non-singleton localization sets for gradient models on trees
    • 01.03.2023, Partha Pratim Ghosh (TU Braunschweig): A Last Progeny Modified Branching Random Walk
    • 01.03.2023, Élie de Panafieu (Nokia Bell Labs, France): Active clustering of a set using pairwise comparisons
    • 08.02.2023, Dave Jacobi (TU Berlin): Super-Brownian motion with dormancy
    • 01.02.2023, Alice Callegaro (TU München/JGU Mainz): Survival and complete convergence for a branching annihilating random walk
    • 25.01.2023, Alexander Drewitz (Universität zu Köln): Percolation, long-range correlations and critical exponents on transient graphs
    • 11.01.2023, Chiranjib Mukherjee (WWU Münster): Homogenization of Hamilton--Jacobi--Bellman equations on continuum percolation clusters
  • 2022

    • 07.12.2022, Daniel Heydecker (MPI Leipzig): From LDPs of the Kac Process to the H-Theorem
    • 30.11.2022, Julian Kern (WIAS Berlin): A Fleming-Viot model with varying population size
    • 16.11.2022, Jonas Köppl (WIAS Berlin): Dynamical Gibbs variational principles for irreversible interacting particle systems with applications to attractor properties
    • 19.10.2022, Nicolas Forien (Sapienza Università di Roma): Sleepy frogs playing ping-pong on an overcrowded torus: The supercritical phase of Activated Random Walks
    • 12.10.2022, Arne Grauer (Universität zu Köln): Short paths in scale-free geometric random graphs
    • 28.09.2022, Willem van Zuijlen (WIAS Berlin): Weakly self-avoiding walk in a random potential
    • 13.07.2022, Quirin Vogel (NYU Shanghai): The variational principle and the Bose gas
    • 22.06.2022, Lukas Lüchtrath (Universität zu Köln): The various phases of long-range inhomogeneous percolation
    • 01.06.2022, Francesca Cottini (University of Milano-Bicocca): Gaussian Limits for Subcritical Chaos
    • 18.05.2022, Richard Kraaij (TU Delft): Large deviations for weakly coupled slow-fast systems via the comparison principle of an associated Hamilton-Jacobi equation
    • 04.05.2022, Chengcheng Ling (TU Berlin): Singular SDEs and PDEs
    • 20.04.2022, Martin Heida (WIAS Berlin): Measure theoretic aspects of stochastic homogenization
    • 06.04.2022, Simone Baldassarri (University of Florence): Critical Droplets and sharp asymptotics for Kawasaki dynamics with strongly anisotropic interactions
    • 23.03.2022, Florian Nie (TU Berlin): The stochastic F-KPP Equation and on/off branching coalescing Brownian Motion
    • 23.02.2022, Ana Djurdjevac (Zuse Institute Berlin): Approximation of the Dean-Kawasaki equation
    • 09.02.2022, Tobias Paul (HU Berlin): Modelling interactions of mutation, dormancy and transfer
    • 02.02.2022, Quirin Vogel (NYU Shanghai): Infinite loops - The limit of the Feynman representation of the Bose gas (online talk)
    • 12.01.2022, Wolfgang König (WIAS Berlin): The free energy of a box version of the interacting Bose gas
  • 2021

    • 17.12.2021, Daniel Ueltschi (University of Warwick): Loop models and the universal distribution of the loop lengths
    • 08.12.2021, Elena Magnanini (WIAS Berlin): Limit theorems for the edge density in exponential random graphs
    • 24.11.2021, Sanjoy Kumar Jhawar (WIAS Berlin): Percolation in enhanced random connection models
    • 10.11.2021, Anh Duc Vu (WIAS Berlin): Percolation theory and effective conductivity
    • 27.10.2021, András Tóbiás (TU Berlin): Virus dynamics in the presence of contact-mediated host dormancy
    • 13.10.2021, Tejas Iyer (WIAS Berlin): Degrees of fixed vertices and power law degree distributions in preferential attachment trees with neighbourhood influence
    • 29.09.2021, Michiel Renger (WIAS Berlin): Open problem: large deviations of transport maps