Leonid Kolesnikov

I am a PhD student supervised by Sabine Jansen.

Office hours: by appointment.

Teaching

* Stochastik (winter term 2022/2034)
* Wahrscheinlichkeitstheorie (summer term 2022)
* Stochastik (winter term 2021/2022 )
* Mathematical Statistical Physics (summer term 2021)
* Analysis einer Variablen (winter term 2020/2021)
* Mathematical Statistical Physics (summer term 2020)
* Analysis mehrerer Variablen (winter term 2019/2020)
* Mathematik für Physiker II (summer term 2019)
* Stochastic processes (winter term 2018/2019)
* Mathematik im Querschnitt (summer term 2018)

Research interests

*In general:
Probability theory, statistical mechanics, graph theory, combinatorics,...

*Currently interested in:
Generating functions of combinatorial species,
Cluster expansions (e.g. of the pressure of large systems) in discrete and continuous setups,
Ising/Potts-type models,
Polymer models,
...

Publications & Preprints

*M. Heydenreich, L.K.:

The critical 1-arm exponent for the ferromagnetic Ising model on the Bethe lattice,
Journal of Mathematical Physics 59 (2018).
[preprint@arXiv]

*S. Jansen, L.K., K. Matzke:

The direct-connectedness function in the random connection model,
Advances in Applied Probability 55 (2023).
[preprint@arXiv]

*S. Jansen, L.K.:

Cluster expansions: Necessary and sufficient convergence conditions,
Journal of Statistical Physics 189, 33 (2022).

*S. Jansen, L.K.:
Logarithms of Catalan generating functions: A combinatorial approach.
[preprint@arXiv]

*S. Jansen, L. K.:

Activity expansions for correlation functions,
In: Proceedings of the XI International conference Stochastic and Analytic Methods in Mathematical Physics, held in Yerevan, Armenia (2019). Lectures in Pure and Applied Mathematics 6, Universitätsverlag Potsdam, 2020.