Michiel Renger

Research interests

• Stochastic particle systems, large deviations and statistical mechanics
• Chemical reactions, coagulation, fragmentation and the Smoluchowski equation
• PDE's, variational calculus and gradient structures

Teaching

I'm now teaching convex analysis at the TU Berlin. The lecture notes and exercises can be found here.

Publications

Preprints

• R.I.A. Patterson and D.R.M. Renger, Large deviations of reaction fluxes. ArXiv Preprint 1802.02512 (2018).
• P. Koltai and D.R.M. Renger, From large deviations to transport semidistances: coherence analysis for finite Lagrangian data. ArXiv Preprint 1709.02352 (2017).
• D.R.M. Renger, Flux large deviations of independent and reacting particle systems, with implications for macroscopic fluctuation theory. WIAS Preprint 2375, (2017).
• M. Heida, R.I.A. Patterson and D.R.M. Renger, The space of bounded variation with infinite-dimensional codomain. WIAS Preprint 2353, (2016).
• R.I.A. Patterson and D.R.M. Renger, Dynamical large deviations of countable reaction networks under a weak reversibility condition. WIAS Preprint 2273, (2016).

Peer-reviewed publictions

• A. Mielke, R.I.A. Patterson, M.A. Peletier and D.R.M. Renger, Non-equilibrium thermodynamical principles for chemical reactions with mass-action kinetics. SIAM Journal on Applied Mathematics, 77, 4 (2017).
• M. Liero, A. Mielke, M.A. Peletier and D.R.M. Renger, On microscopic origins of generalized gradient structures. Discrete and Continuous Dynamical Systems - Series S 10, 1 (2017).
• A. Mielke, M. A. Peletier, and D.R.M. Renger, A generalization of Onsager's reciprocity relations to gradient flows with nonlinear mobility. Journal of Non-Equilibrium Thermodynamics, 41, 2 (2016).
• M. Erbar, J. Maas and D.R.M. Renger, From large deviations to Wasserstein gradient flows in multiple dimensions. Electronic Communications in Probability, 20, 89 (2015).
• A. Mielke, M. A. Peletier, D.R.M. Renger, On the relation between gradient flows and the large-deviation principle, with applications to Markov chains and diffusion. Potential Analysis 41, 4 (2014).
• M. Duong, V. Laschos and M. Renger, Wasserstein gradient flows from large deviations of many-particle limits. ESAIM: Control, Optimisation and Calculus of Variations 19, 4 (2013).
• M.A. Peletier, D.R.M. Renger and M. Veneroni, Variational formulation of the Fokker-Planck equation with decay: a particle approach. Communications in Contemporary Mathematics 15, 5 (2013).

Proceedings

• J.H.M. Evers, D. Kiss, W. Kowalczyk, T. Navilarekallu, M. Renger, L. Sella, V. Timperio, A. Viorel, A.C.C. van Wijk and A.N. Yzelman, Node counting in wireless ad-hoc networks. Proceedings of the 79th European Study Group Mathematics with Industry, Amsterdam, the Netherlands (2012).

PhD thesis

• D.R.M. Renger. Microscopic interpretation of Wasserstein gradient flows. Technische Universiteit Eindhoven (2013).

Publications (collaboration engineering)

In 2008, I researched topics in "collaboration engineering" at the Systems Engineering Section of the TU Delft. Click here to show/hide these publications.

Organization of events

• 29 May - 2 June 2017: CRC 1114 Spring School "Methods for Particle Systems with Multiple Scales" (with A. Mielke) at WIAS, Berlin, Germany.
• 16-18 December 2015: "Stochastic Limit Analysis for Reacting Particles Systems" (with W. König and R.I.A. Patterson) at WIAS, Berlin, Germany.
• 10-14 March 2014: Young European Probabilists XI "Mass transport in analysis and probability" (with M.-K. von Renesse and P. Mörters) at Eurandom, Eindhoven, the Netherlands.
• 18-20 April 2012: ICMS Workshop "Open problems between micro and macro in systems of agents and particles" (with A. Muntean and M.A. Peletier) at Eurandom, Eindhoven, the Netherlands.

Popular Science

• 28 July 2017: "Was sind und was sollen die Zahlen?", Tag der Mathematik at Universität Regensburg, Regensburg, Germany.
• 22 April 2017: "Wie man nicht-differenzierbare Funktionen differenzieren kann", Tag der Mathematik at Humboldt-Universität, Berlin, Germany.
• 15 April 2016: "The truth is out there... it's called math!", Nerd Nite Greatest Hits - Five years of Talks and Beers at Felix Meritis, Amsterdam, the Netherlands.
• 9 May 2015: "Minimierung in unendlich vielen Dimensionen", Tag der Mathematik at Beuth Hochschule, Berlin, Germany.
• 6 June 2014: Here is my talk "Infinity: imagining the unimaginable", Nerd Nite XVII at Crea Muziekzaal, Amsterdam, the Netherlands:

• 17 May 2014: "Die Entropie von unendlich vielen Molekülen", Tag der Mathematik at Technische Universität, Berlin, Germany.
• 10 May 2014: "Unendlichtkeit", 14. Lange Nacht der Wissenschaften at Geschäftsstelle der Leibniz-Gemeinschaft, Berlin, Germany.