Prof. Dr. Benedikt Jahnel

Professor at Technische Universität Braunschweig for

Stochastics and Applications

Head of the Leibniz junior research group on

Probabilistic Methods for Dynamic Communication Networks

TU Braunschweig:
E-mail:	Benedikt.Jahnel@tu-braunschweig.de
Phone:	+49 (0)531 391 7569
Room:	620
Address:	TU Braunschweig, Institut für Mathematische Stochastik, Universitätsplatz 2, 38106 Braunschweig
Weierstrass Institut Berlin:
E-mail:	Benedikt.Jahnel@wias-berlin.de
Phone:	+49 (0)30 20372 445
Room:	502
Address:	WIAS, Mohrenstraße 39, 10117 Berlin

Research interests

My research interests lie in the modelling and analysis of systems of many interacting random components that are spatially embedded. Those systems describe phenomena from physics, like liquid-vapour phase transitions, spatial epidemiology of communicable diseases, or peer-to-peer telecommunication in an urban environment. The goal is to derive and describe macroscopic states from highly complex microscopic system configurations. For this I use mathematical tools from statistical mechanics such as large-deviation theory and stochastic geometry to establish rigorous results. My work is sometimes supported by the comparison with real-world data and by computer simulations. It is presented to an international mathematical audience and researchers from related fields like engineering, life science and materials science.

News

• February 2025: Workshop announcement on Stochastic Processes on Random Geometries at TU Braunschweig February 17th - 21th; coorganization with Prof. Dr. Sebastian Andres.
• November 2024: We very much congratulate our team member Jonas Köppl to his successfull DAAD application that will bring him to UCLA for four month in spring 2025.
• September 2024: We very much congratulate our team member Anh Duc Vu to his successful PhD defense at TU Berlin on "Percolation in Random Environments and Stochastic Homogenisation". Prof. Wolfgang König and Prof. Martin Slowik served as further promoters.
• August 2024: Very happy to welcome Daniel Kamecke as part of the applied stochastics team at TU Braunschweig.
• August 2024: Together with Jonas Köppl we are organizing a contributed session on Gibbs Measures - Continuum and Discrete at the Bernoulli-ims 11th World Congress in Probability and Statistics in Bochum.
• November 2023: Call open for one predoc position to be filled as soon as possible in the group at TU Braunschweig.
• October 2023: Call open for one postdoc position to be filled as soon as possible in the group at WIAS.
• September 2023: Workshop announcement on Interacting Particles in the Continuum at Eurandom (TU Eindhoven) September 9th - 13th; coorganization with Prof. Dr. Wioletta Ruszel and Prof. Dr. Frank Redig within the Eurandom Ambassador Program.
• January 2024: Three-day DYCOMNET workshop at WIAS Dynamic Spatial Random Systems featuring two minicourses plus eight international expert presentation.
• September 2023: Success in the final call for proposals in the cluster of excellence Math+. Our project on data transmission in dynamical random networks receives funding for one postdoc position for two years starting as soon as possible. Applications welcome!
• September 2023: Inaugural lecture at TU Braunschweig on September 19th 2023 4-7pm as a joint event with my colleagues Nicole Mücke and Maximilian Merkert, for details see Antrittsvorlesung.
• September 2023: Very happy to see our team member Jonas Köppl as a selected participant in this years 10th Heidelberg Laureate Forum.
• July 2023: Minicourse on "Continuum Percolation in Random Environments" at the SPP summerschool: Probability and Geometry on Configuration Spaces. The presentation can be found here Slides.
• May 2023: Our highlight article for the scientific report of the Weierstrass Institute is now available online: Probabilistic Methods for Communication Systems.
• November 2022: Our group member Jonas Köppl has won the Dies Mathematicus Award for Best Talk from the Mathematical Institute of the Technische Universität Berlin.
• November 2022: Very happy to welcome Dr. Partha Ghosh as part of the applied stochastics team at TU Braunschweig.
• November 2022: Very happy to welcome Dr. Lukas Lüchtrath as part of the DYCOMNET team at WIAS.
• October 2022: Visit by Prof. Dr. Ni from University College London and Prof. Dr. Wu from University of Strathclyde funded via a successful joint application within the Lower Saxony – Scotland Tandem Fellowship Programme by the European Centre for Advanced Studies.
• October 2022: Very happy to welcome Yannic Steenbeck as part of the applied stochastics team at TU Braunschweig.
• October 2022: Contribution at Studium Generale TU Braunschweig on "Zufällige Geometrie und das Internet der Dinge".
• October 2022: Lecture at Schnupperstudium TU Braunschweig on "Die Poesie der Logik".
• September 2022: Very happy to welcome Jonas Köppl as part of the DYCOMNET team at WIAS.
• September 2022: Successful application for funding from the NETWORKS Center for the workshop Recent Trends in Spatial Stochastic Processes together with Prof. Dr. Julia Komjathy and Dr. Pim van der Hoorn at Eurandom (TU Eindhoven).
• September 2022: Our group member Jonas Köppl has won a Best DMV Student Talks Award from the Berlin Mathematical School and subsequently gave a presentation at the DMV Annual Meeting 2022 in Berlin.
• September 2022: Very happy to welcome Jonas Köppl as part of the DYCOMNET team at WIAS.
• July 2022: Popular science talk at the Lange Nacht der Wissenschaften Berlin on Die Poesie der Logik: Video.
• July 2022: Successful application for funding from the STAR Cluster for the workshop Recent Trends in Spatial Stochastic Processes together with Prof. Dr. Julia Komjathy and Dr. Pim van der Hoorn at Eurandom (TU Eindhoven).
• May 2022: Call open for one PreDoc position and one PostDoc position to be filled in the group at TU Braunschweig.
• May 2022: Call open for one PreDoc position and one PostDoc position to be filled in the group at WIAS.
• April 2022: Website for the workshop on Recent Trends in Spatial Stochastic Processes at Eurandom (TU Eindhoven) is now online; coorganization with Prof. Dr. Julia Komjathy and Dr. Pim van der Hoorn within the Eurandom Ambassador Program.
• April 2022: Start of professorship for Stochastics for Applications at Technische Universität Braunschweig, including a welcome interview.
• March 2022: Article on percolation theory based on an interview with me and others in "Spektrum der Wissenschaften": Perkolationstheorie: Folgenschwer verknüpft: Fügt man Knoten zu einem Netz hinzu, findet irgendwann ein Übergang statt: Plötzlich hängt alles eng miteinander zusammen.
• January 2022: Website for the workshop on Random Point Processes in Statistical Physics at WIAS is now online; coorganization with Prof. Dr. Wolfgang König and Prof. Dr. Hartmut Löwen within the SPP2265.
• November 2021: Offer for a W2 professorship at the Philipps-Universität Marburg for Stochastics - declined.
• September 2021: Very honored to become a EURANDOM Ambassador at Eindhoven University of Technology for the next four years.
• September 2021: Happy to welcome our new team member Sanjoy Jhawar as a postdoc working in our group.
• August 2021: Offer for a W2 professorship at the Technische Universität Braunschweig for Stochastics and Applications - accepted.
• July 2021: Short presentation of the group in the recent Verbundjournal of the Forschungsverbund Berlin: Verbundjournal (07/2021 page 34/35).
• June 2021: Elected Ombudsperson at WIAS for three years: Good Scientific Practice.
• May 2021: Successful defense of habilitation at Technische Universität Berlin on "Stochastic Geometry and Communication Networks & Statistical Mechanics for Point Processes and Stochastic Dynamics" with promoters Prof. Dr. Wolfgang König (TU Berlin), Prof. Dr. Sabine Jansen (LMU München), Prof. Dr. Aernout van Enter (Rijksuniv. Groningen) and Prof. Dr. François Baccelli (Universtity of Texas).
• May 2021: Tenured position at the Weierstrass Institute.
• April 2021: Kelsey Houston-Edwards interviewed me together with other experts for the cover story of the April edition of the "Scientific American": The Mathematics of How Connections Become Global: Percolation theory illuminates the behavior of many kinds of networks, from cell-phone connections to disease transmission.
• March 2021: Happy to welcome our new team member Anh Duc Vu as a doctoral student working on dynamical percolation.
• January 2021: Official start of the Leibniz Group Probabilistic Methods for Dynamic Communication Networks.
• June 2020: Official release of our book Probabilistic Methods in Telecommunications as part of the "Compact Textbooks in Mathematics" book series at Birkhäuser, together with Wolfgang König.
• September 2019: Now part of the postdoctoral faculty of the Berlin Mathematical School.

Scientific team

• Postdocs:
  • Dr. Lukas Lüchtrath
  • Dr. Partha Ghosh
  • Dr. Anh Duc Vu
• Predocs:
  • M.Sc. Daniel Kamecke
  • M.Sc. Yannic Steenbeck
  • M.Sc. Jonas Köppl
• Previous members of the team:
  • Dr. Julia Hörrmann
  • Dr. Sanjoy Jhawar
  • M.Sc. Alexander Hinsen

Teaching

• Winter semester 2024:
  • Lecture on "Probability for Teachers": Probability for Teachers
  • Lecture on "Point Processes": Point Processes
  • Bachelor seminar on "Stochastics": Bachelor Seminar Stochastics
  • RampUp for data scientists: Stochastics
• Summer semester 2024:
  • Lecture on "Probability Theory and Discrete Financial Mathematics": Probability Theory and Discrete Financial Mathematics
  • Lecture on "Markov Processes": Markov Processes
  • Master seminar on "Stochastics": Master Seminar Stochastics
  • RampUp for data scientists: Stochastics
• Winter semester 2023:
  • Lecture on "Introduction to Probability Theory": Introduction to Probability Theory
  • Lecture on "Markov Processes": Markov Processes
  • Bachelor seminar on "Stochastics": Bachelor Seminar Stochastics
  • RampUp for data scientists: Stochastics
• Summer semester 2023:
  • Lecture on "Probability Theory and Discrete Financial Mathematics": Probability Theory and Discrete Financial Mathematics
  • Lecture on "Geometry": Geometry
  • Bachelor seminar on "Stochastics": Bachelor Seminar Stochastics
  • RampUp for data scientists: Stochastics
• Winter semester 2022:
  • Lecture on "Introduction to Probability Theory": Introduction to Probability Theory
  • Lecture and seminar on "Probabilistic Methods in Telecommunications": Probabilistic Methods in Telecommunications
• Summer semester 2022:
  • Lecture on "Probability Theory and Discrete Financial Mathematics": Probability Theory and Discrete Financial Mathematics
  • Lecture and seminar on "Probabilistic Methods in Telecommunications": Probabilistic Methods in Telecommunications
• Summer semester 2020:
  • Video lecture and seminar on "Spin Systems and Phase Transitions", with Lorenzo Taggi: Spin Systems and Phase Transitions
• Summer semester 2018:
  • Lecture and seminar on "Probabilistic Methods in Telecommunications", with Wolfgang König: Probabilistic Methods in Telecommunications

I am available as a supervisor for bachelor and master projects within my research scope. If you are interested, please do not hesitate to contact me via email.

Publications and preprints

Available now

• Stochastic geometry

• with L. Lüchtrath, M. Ortgiese: Cluster sizes in subcritical soft Boolean models
  Preprint available at arXiv:2404.13730
  
  
• with S. Jhawar, P. Ghosh: Large and moderate deviations in Poisson navigations
  Preprint available at arXiv:2403.14295
  
  
• with C. Hirsch, S. Jhawar, P. Juhasz: Poisson approximation of fixed-degree nodes in weighted random connection models
  Preprint available at arXiv:2311.12643
  
  
• with A.D. Vu: A long-range contact process in a random environment
  Preprint available at arXiv:2310.12061
  
  
• with J. Köppl, B. Lodewijks, A. Tóbiás: Percolation in lattice k-neighbor graphs
  Preprint available at arXiv:2302.14888
  
  
• with L. Lüchtrath, E. Jacob: Subcritical annulus crossing in spatial random graphs
  Preprint available at arXiv:2411.10333
  
  
• with M. Heida, A.D. Vu: Stochastic homogenization on irregularly perforated domains
  Preprint available at arXiv:2110.03256
  
  
• with M. Heida, A.D. Vu: An ergodic and isotropic zero-conductance model with arbitrarily strong local connectivity
  Electronic Communications in Probability Vol. 29, No. 66, 1-13 (2024), also available at arXiv:2403.06785
  
  
• with S. Jhawar, A.D. Vu: Continuum percolation in a nonstabilizing environment
  Electronic Journal of Probability Vol. 28, No. 131, 1-38 (2023), also available at arXiv:2205.15366
  
  
• with A. Hinsen, E. Cali, J.-P. Wary: Chase-escape in dynamic device-to-device networks
  Journal of Applied Probability (2023), also available at arXiv:2211.05476
  
  
• with A. Hinsen, E. Cali, J.-P. Wary: Connectivity in mobile device-to-device networks in urban environments
  IEEE Transactions on Information Theory (2023), also available at arXiv:2208.12865
  
  
• with C. Hirsch, E. Cali: Connection intervals in multi-scale dynamic networks
  Stochastic Models Vol. 39, No. 4, 851-877 (2023), also available at arXiv:2111.13140
  
  
• with C. Coletti, L. de Lima, A. Hinsen, D. Valesin: Limiting shape for first-passage percolation models on random geometric graphs
  Journal of Applied Probability (2023), also available at arXiv:2109.07813
  
  
• with C. Hirsch, S. Muirhead: Sharp phase transition for Cox percolation
  Electronic Communications in Probability, Vol. 27, No. 48, 1-13 (2022), also available at arXiv:2203.01251
  
  
• with C. Hirsch, E. Cali: Percolation and connection times in multi-scale dynamic networks
  Stochastic Processes and their Applications, Vol. 151, 490-518 (2022), also available at arXiv:2103.03171
  
  
• with A. Tóbiás: Absence of percolation in graphs based on stationary point processes with degrees bounded by two
  Random Structures and Algorithms, Vol. 62, No. 1, 240-255 (2023), also available at arXiv:2010.03187
  
  
• with A. Tóbiás, E. Cali: Phase transitions for the Boolean model of continuum percolation for Cox point processes
  Brazilian Journal of Probability and Statistics, Vol. 36, No. 1, 20-44 (2022), also available at arXiv:2003.06206
  
  
• with A. Tóbiás: SINR percolation for Cox point processes with random powers
  Advances in Applied Probability, Vol. 54, No. 1, 227-253 (2022), also available at arXiv:1912.07895
  
  
• with A. Hinsen, E. Cali, J.-P. Wary: Phase transitions for chase-escape models on Poisson-Gilbert graphs
  Electronic Communications in Probability, Vol. 25, No. 25, 1-14 (2020), also available at arXiv:1911.02622
  
  
• with C. Hirsch, A. Tóbiás: Lower large deviations for geometric functionals
  Electronic Communications in Probability, Vol. 25, No. 41, 1-12 (2020), also available at arXiv:1910.05993
  
  
• with A. Tóbiás: Exponential moments for planar tessellations
  Journal of Statistical Physics, Vol. 179, 90-109 (2020), also available at arXiv:1902.02148
  
  
• with W. König: Probabilistic methods for telecommunications
  Birkhäuser Compact Textbooks in Mathematics (2020), preliminary version also available as Lecture notes
  
  
• with W. König: Probabilistic methods for spatial multihop communication systems
  Published in: Topics in Applied Analysis and Optimisation, Springer, Vol. 10, 239-268 (2019)
  
  
• with C. Hirsch: Large deviations for the capacity in dynamic spatial relay networks
  Markov Processes and Related Fields, Vol. 25, 33-73 (2019), also available at arXiv:1712.03763
  
  
• with C. Hirsch, E. Cali: Continuum percolation for Cox point processes
  Stochastic Processes and their Applications, Vol. 129, 3941-3966 (2019), also available at arXiv:1710.11407
  
  
• with C. Hirsch, P. Keeler, R. Patterson: Large deviations in relay-augmented wireless networks
  Queueing Systems, Vol. 88, No. 3-4, 349-387 (2018), also available at arXiv:1510.04146
  
  
• with C. Hirsch, R. Patterson: Space-time large deviations in capacity-constrained relay networks
  Latin American Journal of Probability and Mathematical Statistics, Vol. 15, 1-29 (2018), also available at arXiv:1609.06856
  
  
• with C. Hirsch, P. Keeler, R. Patterson: Traffic flow densities in large transport networks
  Advances in Applied Probability, Vol. 49, No. 4, 1091-1115 (2017), also available at arXiv:1602.01009
  
  
• with C. Hirsch, P. Keeler, R. Patterson: Large-deviation principles for connectable receivers in wireless networks
  Advances in Applied Probability, Vol. 48, 1061-1094 (2016), also available at arXiv:1506.00576
  
  

• Statistical mechanics

• with J. Köppl, Y. Steenbeck, A. Zass: The variational principle for a marked Gibbs point process with infinite-range multibody interactions
  Preprint available at arXiv:2408.17170
  
  
• with J. Köppl: Time-periodic behaviour in one- and two-dimensional interacting particle systems
  Preprint available at arXiv:2402.12300
  
  
• with C. Külske, A. Zass: Locality properties for discrete and continuum Widom-Rowlinson models in random environments
  Preprint available at arXiv:2311.07146
  
  
• with J. Köppl: On the long-time behaviour of reversible interacting particle systems in one and two dimensions
  Preprint available at arXiv:2303.10640
  
  
• with U. Rozikov: Three-state p-SOS models on binary Cayley trees
  Journal of Statistical Mechanics: Theory and Experiment (2024), also available at arXiv:2402.09839
  
  
• with U. Rozikov: Gibbs measures for hardcore-SOS models on Cayley trees
  Journal of Statistical Mechanics: Theory and Experiment (2024), also available at arXiv:2404.03297
  
  
• with J. Köppl: Trajectorial dissipation of Phi-entropies for interacting particle systems
  Journal of Statistical Physics, No. 119, Vol. 190 (2023), also available at arXiv:2301.03922
  
  
• with J. Köppl: Dynamical Gibbs variational principles for irreversible interacting particle systems with applications to attractor properties
  Annals of Applied Probability, Vol. 33, No. 6A, 4570-4607 (2023), also available at arXiv:2205.02738
  
  
• with O. Collin, W. König: A micro-macro variational formula for the free energy of a many-body system with unbounded marks
  Electronic Journal of Probability Vol. 28, No. 118, 1-58 (2023), also available at arXiv:2201.05085
  
  
• with C. Külske: Gibbsianness and non-Gibbsianness for Bernoulli lattice fields under removal of isolated sites
  Bernoulli, Vol. 29, No. 4, 3013-3032 (2023), also available at arXiv:2109.13997
  
  
• with N. Engler, C. Külske: Gibbsianness of locally thinned random fields
  Markov Processes and Related Fields, Vol. 28, 185–214 (2022), also available at arXiv:2201.02651
  
  
• with C. Külske: Gibbsian representation for point processes via hyperedge potentials
  Journal of Theoretical Probability (2019), also available at arXiv:1707.05991
  
  
• with C. Külske: Attractor properties for irreversible and reversible interacting particle systems
  Communications in Mathematical Physics, Vol. 366, No. 1, 139-172 (2019), also available at arXiv:1507.01244
  
  
• with G. Botirov: Phase transitions for a model with uncountable spin space on the Cayley tree: the general case
  Positivity, Vol. 23, No. 2, 291-301 (2019), also available at arXiv:1803.02867
  
  
• with C. Cotar, C. Külske: Extremal decomposition for random Gibbs measures
  Electronic Communications in Probability, Vol. 23, No. 95, 1-12 (2018), also available at arXiv:1810.07761
  
  
• with C. Külske: The Widom-Rowlinson model under spin flip: Immediate loss and sharp recovery of quasilocality
  Annals of Applied Probability, Vol. 27, No. 6, 3845-3892 (2017), also available at arXiv:1609.01328
  
  
• with C. Külske: Sharp thresholds for Gibbs-non-Gibbs transition in the fuzzy Potts models with a Kac-type interaction
  Bernoulli Journal, Vol. 23, No. 4A, 2808-2827 (2017), also available at arXiv:1502.04238
  
  
• with C. Külske: Attractor properties of non-reversible dynamics w.r.t. invariant Gibbs measures on the lattice
  Markov Processes and Related Fields, Vol. 22, 507-535 (2016), also available at arXiv:1409.8193
  
  
• with C. Külske: A class of non-ergodic weak PCAs with unique invariant measure and quasi-periodic orbit
  Stochastic Processes and their Applications, Vol. 125, 2427-2450 (2015), also available at arXiv:1404.3314
  
  
• with G. Botirov, C. Külske: Phase transition and critical values of a nearest-neighbor system with uncountable local state space on Cayley trees
  Mathematical Physics, Analysis and Geometry, Vol. 17, 1385-0172 (2014)
  
  
• with C. Külske, E. Rudelli, J. Wegener: Gibbsian and non-Gibbsian properties of the generalized mean-field fuzzy Potts-model
  Markov Processes and Related Fields, Vol. 20, 601-632 (2014), also available at arXiv:1312.5229
  
  
• with C. Külske: Synchronization for discrete mean-field rotators
  Electronic Journal of Probability, Vol. 19, No. 14, 1-26 (2014), also available at arXiv:1308.1260
  
  
• with C. Külske: A class of nonergodic interacting particle systems with unique invariant measure
  Annals of Applied Probability, Vol. 24, 2595-2643 (2014), also available at arXiv:1208.5433v2
  
  

• Wireless network architecture

• with A. Tóbiás: Absence of percolation in graphs based on stationary point processes with degrees bounded by two
  Proceedings of the 12th Japanese-Hungarian Symposium on Discrete Mathematics and Its Applications (2023)
  
  
• with Z. Benomar, C. Ghribi, E. Cali, A. Hinsen, J.-P. Wary: Multi-agent simulations for virus propagation in D2D 5G+ networks
  Preprint available at WIAS Preprint No. 2953
  
  
• with C. Ghribi, E. Cali, C. Hirsch: Agent-based simulations for coverage extensions in 5G networks and beyond
  25th Conference on Innovation in Clouds, Internet and Networks (2022), also available at arXiv:2201.12249
  
  
• with Z. Benomar, C. Ghribi, E. Cali, A. Hinsen: Agent-based modeling and simulation for malware spreading in D2D networks
  International Conference on Autonomous Agents and Multi-Agent Systems (AAMAS) (2022), also available at arXiv:2201.12230
  
  
• with E. Cali, A. Hinsen, J.-P. Wary: Malware propagation in urban D2D networks
  IEEE 18th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt) (2020), also available at arXiv:2002.06248
  
  
• with E. Cali, A. Hinsen, C. Hirsch: The typical cell in anisotropic tessellations
  IEEE 17th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt) (2019), also available at arXiv:1811.09221
  
  
• with E. Cali, N. Gafur, C. Hirsch, T. En-Najjary, R. Patterson: Percolation for D2D networks on street systems
  IEEE 16th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt) (2018), also available at arXiv:1801.10588
  
  
• with P. Keeler, O. Maye, D. Aschenbach, M. Brzozowski: Disruptive events in high-density cellular networks
  IEEE 16th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt) (2018), also available at arXiv:1712.07458
  
  

• Theses

• Habilitation Thesis at Technische Universität Berlin: Stochastic Geometry and Communication Networks & Statistical Mechanics for Point Processes and Stochastic Dynamics
  
• Doctoral Thesis at Ruhr-Universität Bochum: Gibbs Measures under Local Discretization and Rotation Dynamics
  
• Diploma Thesis at Technische Universität Berlin: The Central Limit Theorem for Random Walks in Markovian Environments
  

Music

CV