Jonas Köppl

Jonas Köppl

Postdoctoral researcher in mathematics at the Cluster of Excellence Mathematics Münster: Dynamics – Geometry – Structure. Previously, I was a 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.

Universität Münster

Institut für mathematische Stochastik
Einsteinstraße 62, 48149 Münster, Germany
jonas.koeppl@uni-muenster.de
Portrait of Jonas Köppl
Photo: Bildarchiv des MFO

Research interests

Interacting particle systems, random dynamics, Gibbs measures, percolation.

Selected publications

  1. 19On the stationary measures of the critical Ornstein–Uhlenbeck processwith Jean-Dominique Deuschel, Yannic Steenbeck and Thomas Worschech · PreprintarXiv:2609.07622pdf
  2. 18Asymptotically complete free-energy dissipation: a coarse MLSI holds at any positive temperaturewith Yannic Steenbeck · PreprintarXiv:2608.13677pdf
  3. 15On the absence of time-translation symmetry breaking in some non-reversible interacting particle systemsPreprintarXiv:2602.22104pdf
  4. 10The planar lattice two-neighbor graph percolateswith David Coupier, Benoît Henry and Benedikt Jahnel · Accepted for publication in Annals of ProbabilityarXiv:2412.20781pdfsimulations
  5. 4On the long-time behaviour of reversible interacting particle systems in one and two dimensionswith Benedikt Jahnel · Probability and Mathematical Physics 6-2 (2025), 479–503doi:10.2140/pmp.2025.6.479arXiv
  6. 3Dynamical Gibbs variational principles for irreversible interacting particle systems with applications to attractor propertieswith Benedikt Jahnel · Annals of Applied Probability 33 (6A), 4570–4607 (2023)doi:10.1214/22-AAP1926arXivpdf

All publications

Preprints 12
  1. 22Uniqueness and full coverage in k-neighbor graphswith David Coupier, Benoît Henry and Benedikt JahnelarXiv:2611.06800pdf
  2. 21Space-time large deviations for continuum birth-and-death processeswith Benedikt Jahnel, Yannic Steenbeck and Alexander ZassarXiv:2610.28307pdf
  3. 20Comparison inequalities for discrete- and continuous-time infection processeswith Benedikt Jahnel and Pēteris SiliņšarXiv:2609.09892pdf
  4. 19On the stationary measures of the critical Ornstein–Uhlenbeck processwith Jean-Dominique Deuschel, Yannic Steenbeck and Thomas WorschecharXiv:2609.07622pdf
  5. 18Asymptotically complete free-energy dissipation: a coarse MLSI holds at any positive temperaturewith Yannic SteenbeckarXiv:2608.13677pdf
  6. 17Convex order and faster transmission in first contact percolationwith Benedikt Jahnel, Lukas Lüchtrath and Anh Duc VuarXiv:2605.28766pdf
  7. 16Restriction and mixing properties of interacting particle systems with unbounded rangewith Benedikt JahnelarXiv:2603.21817pdf
  8. 15On the absence of time-translation symmetry breaking in some non-reversible interacting particle systemsarXiv:2602.22104pdf
  9. 14Reversible birth-and-death dynamics in continuum: a de Bruijn-type identity for free-energy dissipationwith Benedikt Jahnel, Yannic Steenbeck and Alexander ZassarXiv:2602.13474pdf
  10. 13Local criteria for global connectivity comparisons: beyond stochastic dominationwith Johannes Bäumler, Benedikt Jahnel, Bas Lodewijks, Lily Reeves and András TóbiásarXiv:2510.03934pdf
  11. 12Reversible birth-and-death dynamics in continuum: free energy dissipation and attractor propertieswith Benedikt Jahnel, Yannic Steenbeck and Alexander ZassarXiv:2508.21196pdf
  12. 11Evolutionary games on the lattice: multitype contact process with density-dependent birth rateswith Nicolas Lanchier and Max MercerarXiv:2412.19957pdf
Accepted 1
  1. 10The planar lattice two-neighbor graph percolateswith David Coupier, Benoît Henry and Benedikt Jahnel · Accepted for publication in Annals of ProbabilityarXiv:2412.20781pdfsimulations
Published 9
  1. 9A correlation bound for the one-dimensional heterogeneous Ising modelwith Edward Athaide, Maciej Głuchowski and Georg Menz · Electronic Communications in Probability 31, 1–13 (2026)doi:10.1214/26-ECP793pdf
  2. 8The variational principle for a marked Gibbs point process with infinite-range multibody interactionswith Benedikt Jahnel, Yannic Steenbeck and Alexander Zass · Electronic Journal of Probability 30, paper no. 176, 1–32 (2025)doi:10.1214/25-EJP1441pdf
  3. 7Time-periodic behaviour in one- and two-dimensional interacting particle systemswith Benedikt Jahnel · Annales Henri Poincaré 27, 3933–3963 (2026)doi:10.1007/s00023-025-01624-5arXivvideo
  4. 6Percolation in lattice k-neighbor graphswith Benedikt Jahnel, Bas Lodewijks and András Tóbiás · Journal of Applied Probability 62 (4), 2025doi:10.1017/jpr.2025.15pdf
  5. 5Survival and extinction for a contact process with a density-dependent birth ratewith Nicolas Lanchier and Max Mercer · Electronic Journal of Probability 30, paper no. 74, 1–18 (2025)doi:10.1214/25-EJP1335pdf
  6. 4On the long-time behaviour of reversible interacting particle systems in one and two dimensionswith Benedikt Jahnel · Probability and Mathematical Physics 6-2 (2025), 479–503doi:10.2140/pmp.2025.6.479arXiv
  7. 3Dynamical Gibbs variational principles for irreversible interacting particle systems with applications to attractor propertieswith Benedikt Jahnel · Annals of Applied Probability 33 (6A), 4570–4607 (2023)doi:10.1214/22-AAP1926arXivpdf
  8. 2Trajectorial dissipation of Φ-entropies for interacting particle systemswith Benedikt Jahnel · Journal of Statistical Physics 190, 119 (2023)doi:10.1007/s10955-023-03136-0arXivpdf
  9. 1Feedback loops in opinion dynamics of agent-based models with multiplicative noisewith Nataša Djurdjevac Conrad and Ana Djurdjevac · Entropy 24 (10), 1352 (2022)doi:10.3390/e24101352arXivpdf
Proceedings, Reports, etc. 1
  1. R1Condensation with optimal rate and excitation spectrum for Bose gases in the Gross–Pitaevskii limitwith Barbara Roos · Oberwolfach Report No. 46/2025, Arbeitsgemeinschaft: Analysis of Many-Body Quantum Systems (organized by C. Hainzl, B. Schlein, R. Seiringer and J. P. Solovej), 2509–2515 (2025)doi:10.14760/OWR-2025-46pdf

“Live” projects

Simulations

Live simulations of the driven clock and XY models of Maes and Shlosman and of Lipowski's lattice prey–predator model, in two and three dimensions: rotating states, spiral defects, coherent oscillations and long-range correlations, running in your browser. Open the simulations

Talks

Upcoming talks

Past talks 24
  • Paderborn probability seminar, Universität Paderborn
  • Statistical Mechanics and Combinatorics of Discrete Planar Structures, Erwin Schrödinger Institute, Vienna
  • Oberseminar Stochastik, TU Darmstadt
  • Statistical Mechanics of Lattice Systems, Brin MRC, Maryland
  • Groupe de travail “Processus ponctuels et applications”, Université de Lille
  • Oberseminar für angewandte Analysis, Universität Ulm
  • 44th Conference on Stochastic Processes and their Applications, Wrocław
  • LA Probability Forum, Caltech, Los Angeles
  • UCLA Probability Seminar, Los Angeles
  • Interacting particles in the continuum, Eurandom, Eindhoven
  • 4th Italian Meeting on Probability and Mathematical Statistics, Rome
  • Paderborn probability seminar, Universität Paderborn
  • Postgraduate Online Probability Seminar (POPS), online
  • UCLA Probability Seminar, online
  • What is…? Seminar, Berlin Mathematical School, Berlin · video
  • Mathematics of Random Systems Summer School 2023, Kyoto
  • German Probability and Statistics Days 2023, Essen
  • BMS Student Conference 2023, TU Berlin
  • Analysis and Probability seminar, Universität Passau
  • Dies Mathematicus 2022, TU Berlin · best talk award
  • Interacting Random Systems seminar, WIAS Berlin
  • DMV Annual Meeting, Berlin
  • BMS–BGSMath Junior Meeting, Barcelona
  • DMV Student Conference, MPI MiS Leipzig · best talk award

Other activities

Since May 2024, I am a co-organiser of the Postgraduate Online Probability Seminar (POPS), a monthly online seminar which provides a platform for doctoral students and postdocs from all over the world to present and promote their research in areas related to probability and its applications. If you are interested in presenting your work or want to suggest a speaker, feel free to reach out by email!