About me

Welcome! I am a second year PhD Student at the Weierstraß Institute (WIAS) in the research group Probabilistic Methods for Dynamic Communication Networks under the supervision of Benedikt Jahnel and a Phase II Student at the Berlin Mathematical School.

Previously, I was a scholarship holder in the research group Data-driven Modeling of Complex Systems at FU Berlin, under the supervision of Péter Koltai and Gary Froyland.

I am co-founder of BLISS, a student-run club connecting interested students with AI/ML researchers and practicioners through weekly reading groups, invited talks, and coding challenges. If you want to know more about it or join one of our weekly meetings, write me an email!

News

Contributed Session: Gibbs Measures – Continuum and Discrete

Benedikt Jahnel and I are jointly organising a contributed session on Gibbs measures at the 11th Bernoulli-IMS World Congress in Probability and Statistics in Bochum, August 12th-16th 2024. Gibbs measures are the central object of equilibrium statistical mechanics and provide a probabilistic description of large physical systems in equilibrium. From a modelling perspective, one can work both in a discrete setting, i.e., on a graph, or in the continuum, i.e., with a spatial point process. Both of these approaches have their merit and come with their own set of mathematical challenges, but a lot of the guiding questions and ideas remain the same. In this session, we want to bring together researchers who work in these two different settings, discuss recent results and outline future directions.
The (very exciting) list of speakers can be found on the conference website , looking forward to seeing you there!

Research interests

My current research is mainly focused on the long-time behaviour of large-scale systems of interacting particles with some underlying spatial structure. A large part of this study is devoted to identifying invariant measures and their domains of attraction. In principle, however, it is possible for an interacting particle system not to converge to an invariant measure at all. One way in which this can happen is through periodic behavior. There are several known examples of interacting particle systems that in the mean-field limit exhibit periodic behavior, but much less is known about spatially extended systems. At the moment I am investigating whether it is possible for non-degenerate interacting particle systems to exhibit periodic behaviour in two spatial dimensions and whether time-periodic behaviour can also happen in IPS that admit a reversible measure.

Publications

Preprints

[7] arXiv:2404.09944 [pdf]

Survival and extinction for a contact process with a density-dependent birth rate

With Nicolas Lanchier and Max Mercer.

[6] arXiv:2402.12300 [pdf, video]

Time-periodic behaviour in one- and two-dimensional interacting particle systems

With Benedikt Jahnel.

[5] arXiv:2306.14888 [pdf]

Percolation in lattice k-neighbor graphs

With Benedikt Jahnel, Bas Lodewijks, and András Tóbiás.

[4] arXiv:2303.10640 [pdf]

On the long-time behaviour of reversible interacting particle systems in one and two dimensions

With Benedikt Jahnel.

Published

[3] doi:10.1214/22-AAP1926 [arxiv,pdf]

Dynamical Gibbs Variational Principles for Irreversible Interacting Particle Systems with Applications to Attractor Properties

With Benedikt Jahnel.

Annals of Applied Probability, Vol. 33, No. 6A, 4570-4607 (2023).

[2] doi:10.1007/s10955-023-03136-0 [arxiv, pdf]

Trajectorial Dissipation of Phi-entropies for Interacting Particle Systems

With Benedikt Jahnel.

Journal of Statistical Physics 190, 119 (2023).

[1] doi:10.3390/e24101352 [arxiv, pdf]

Feedback Loops in Opinion Dynamics of Agent-Based Models with Multiplicative Noise

With Natasa Djurdjevac-Conrad and Ana Djurdjevac.

Entropy 24 (10), 1352 (2022).

Talks

Upcoming talks

February 28th, 16:00 CET, Postgraduate Online Probability Seminar (POPS)
June 10th-14th, 4th Italian Meeting on Probability and Mathematical Statistics

Past talks

UCLA Probability Seminar, online (Feb 2024)
What is...? Seminar, Berlin Mathematical School, Berlin (Nov 2023; video)
Mathematics of Random Systems Summer School 2023, Kyoto (Sep 2023)
German Probability and Statistic Days 2023, Essen (Mar 2023)
BMS Student Conference 2023, TU Berlin (Feb 2023)
Analysis and Probability seminar, Universität Passau (Jan 2023)
Dies Mathematicus 2022, TU Berlin (Nov 2022; best talk award)
Interacting Random Systems seminar, WIAS Berlin (Nov 2022)
DMV Annual meeting, Berlin (Sept 2022)
BMS–BGSMath Junior Meeting, Barcelona (Sept 2022)
DMV Student Conference, MPI–MIS Leipzig (Aug 2022; best talk award)

Contact details

Address
Room 503
Weierstraß Institut
Mohrenstraße 39
10117 Berlin
Germany
E-mail address

Photo credit: Andrea Vollmer