# 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.- Lecture notes 1 with exercises,
- Lecture notes 2 with exercises,
- Lecture notes 3 with exercises,
- Lecture notes 4 with exercises,
- Lecture notes 5 with exercises,
- Lecture notes 6 with exercises,
- Lecture notes 7 with exercises,
- Lecture notes 8 with exercises,
- Lecture notes 9 with exercises,
- Lecture notes 10 with exercises,
- Lecture notes 11 with exercises,
- Lecture notes 12 with exercises,
- Lecture notes 13 with exercises.

*not*ask about:

- Linear functional analysis,
- Gradient flows,
- Moreau-Yosida regularisation (possibly only the definition & main idea),
- Lower semicontinuity of Lagrangian actions (possibly only the result),
- Poly-, quasi- and rank-one convexity,
- Every detail of every proof.

- Proof strategies (Hahn-Banach, sup over cont. affine functions, etc.),
- The direct method (main idea and how to apply it),
- Interplay between convexity, topology and (lower semi) continuity,
- Epigraphs, subdifferentials, envelopes,
- Convex duality (particularly examples and calculus of convex duals!),
- Convex inequalities ((sub)gradient inequality, monotonicity, pos. semidefiniteness of 2nd derivatives and differentiability),
- Jensen's inequality and how to use it,
- Uniform integrability (not too detailed though),
- Orlicz and M
^{φ}spaces with the Luxemburg and Orlicz norms, their (pre)dual, the Δ_{2}-property.

## Publications

#### Preprints

- R.I.A. Patterson and D.R.M. Renger, Large deviations of reaction fluxes.
*ArXiv Preprint***1802.02512**(2018). - M. Heida, R.I.A. Patterson and D.R.M. Renger, The space of functions of bounded variation with infinite-dimensional codomain (To be published in Journal of Evolution Equations).
*WIAS Preprint***2353**, (2016).

#### Peer-reviewed publications

- D.R.M. Renger, Gradient and GENERIC systems in the space of fluxes, applied to reacting particle systems.
*Entropy, special issue "Probability Distributions and Maximum Entropy in Stochastic Chemical Reaction Networks"***20(8), 596**(2018). See also: D.R.M. Renger, Generalised Gradient Systems and GENERIC in Flux Space.*Oberwolfach Report***1746**(2018). - D.R.M. Renger, Flux large deviations of independent and reacting particle systems, with implications for macroscopic fluctuation theory.
*Journal of Statistical Physics,***Online first**, (2018). - P. Koltai and D.R.M. Renger, From Large Deviations to Semidistances of Transport and Mixing: Coherence Analysis for Finite Lagrangian Data.
*Journal of Nonlinear Science***(Online first)**(2018). - 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.#### Articles

- M. Renger and J. Honig. Improving the quality of business process models through separation of generation tasks in collaborative modelling.
*International Journal of Organisational Design and Engineering***2**(2012). - M. Renger, G.L. Kolfschoten and G.J. de Vreede. Challenges in collaborative modeling: a literature review and research agenda.
*International Journal of Simulation and Process Modelling***4**(2008).

#### Proceedings

- A.S. Read, M. Renger, R.O. Briggs and G.J. de Vreede. Fundamental topics of organizing: a research agenda.
*Proceedings of the 42nd Hawaiian International Conference on System Sciences*, Los Alamitos, CA, USA (2009). - M. Renger, G.L. Kolfschoten and G.J. de Vreede. Using interactive whiteboard technology to support collaborative modeling.
*Groupware: Design, Implementation, and Use - 14th International Workshop (CRIWG)*, Omaha, NE, USA (2008). - M. Renger, G.L. Kolfschoten and G.J. de Vreede. Challenges in collaborative modeling: a literature review.
*Lecture Notes in Business Information Processing: Advances in Enterprise Engineering I*, Berlin/Heidelberg, Germany (2008). - M. Renger, G.L. Kolfschoten and G.J. de Vreede. Patterns in collaborative modeling: a literature review.
*Proceedings of Group Decision & Negotiation*, Coimbra, Portugal (2008).

## 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.