Browse by Projects

2021

Andreis, Luisa and König, Wolfgang and Patterson, Robert I.A. (2021) A large‐deviations principle for all the cluster sizes of a sparse Erdős–Rényi graph. Random Structures and Algorithms . pp. 1-32.

Patterson, Robert I.A. and Renger, D.R. Michiel and Sharma, Upanshu (2021) Variational structures beyond gradient flows: a macroscopic fluctuation-theory perspective. arXive . pp. 1-47. (Unpublished)

Agazzi, Andrea and Andreis, Luisa and Patterson, Robert I.A. and Renger, D.R. Michiel (2021) LARGE DEVIATIONS FOR MARKOV JUMP PROCESSES WITH UNIFORMLY DIMINISHING RATES. arXive . pp. 1-19. (Unpublished)

Agazzi, Andrea and Andreis, Luisa and Patterson, Robert I. A. and Renger, D.R. Michiel (2021) Large deviations for Markov jump processes with uniformly diminishing rates. arXive . pp. 1-19. (Unpublished)

Nüsken, N. and Renger, M. (2021) Stein Variational Gradient Descent: many-particle and long-time asymptotics. arXive . pp. 1-25. (Unpublished)

Renger, D.R. Michiel and Zimmer, Johannes (2021) Orthogonality of fluxes in general nonlinear reaction networks. DCDS-S 2021, 14 (1). pp. 205-217. (Submitted)

2019

Bartscha, Clemens and Wiedmeyer, Viktoria and Lakdawala, Zahra and Patterson, Robert I.A. and Voigt, Andreas and Sundmacher, Kai and John, Volker (2019) Stochastic-deterministic population balance modeling and simulation of a fluidized bed crystallizer experiment. Chemical Engineering Science, 208 . ISSN 115102

Heida, Martin and Patterson, Robert I. A. and Renger, Michiel D.R. (2019) Topologies and measures on the space of functions of bounded variation taking values in a Banach or metric space. Journal of Evolution Equations, 19 (1). pp. 111-152.

Patterson, Robert I. A. and Renger, Michiel D.R. (2019) Large deviations of jump process fluxes. Math. Phys. Anal. Geom., 22 (21). pp. 1-32. ISSN 1385-0172; ESSN: 1572-9656

Renger, M. and Zimmer, J. (2019) Orthogonality of fluxes in general nonlinear reaction networks. SFB1114 Preprint 07/2019 in WIAS No. 2609 . pp. 1-12. (Unpublished)

Bartsch, Clemens and John, Volker and Patterson, Robert I. A. (2019) Simulations of an ASA flow crystallizer with a coupled stochastic-deterministic approach. Computers & Chemical Engineering, 124 . pp. 350-363.

Heydecker, Daniel and Patterson, Robert I. A. (2019) Bilinear Coagulation Equations. SFB1114 Preprint in arxiv:1902.07686 . (Unpublished)

Andreis, L. and König, W. and Patterson, R. I. A (2019) A large-deviations approach to gelation. SFB 1114 Preprint in arXiv:1901.01876 . pp. 1-22. (Unpublished)

2018

Renger, M. (2018) Flux large deviations of independent and reacting particle systems, with implications for macroscopic fluctuation theory. J. Stat. Phys., 172 (5). pp. 1261-1326. ISSN 0022-4715

Koltai, P. and Renger, M. (2018) From Large Deviations to Semidistances of Transport and Mixing: Coherence Analysis for Finite Lagrangian Data. Journal of Nonlinear Science, 28 (5). pp. 1915-1957. ISSN 1432-1467 (online)

Renger, M. (2018) Gradient and Generic systems in the space of fluxes, applied to reacting particle systems. SFB 1114 Preprint in arXiv:1806.10461 . pp. 1-29. (Unpublished)

2017

Mielke, A. and Patterson, R. I. A and Peletier, M. A. and Renger, M. (2017) Non-equilibrium thermodynamical principles for chemical reactions with mass-action kinetics. SIAM Journal on Applied Mathematics, 77 (4). pp. 1562-1585. ISSN 1095-712X (online)

Liero, M. and Mielke, A. and Peletier, M. A. and Renger, M. (2017) On microscopic origins of generalized gradient structures. Discrete and Continuous Dynamical Systems - Series S, 10 (1).

2016

Mielke, A. and Peletier, M. A. and Renger, M. (2016) A generalization of Onsager's reciprocity relations to gradient flows with nonlinear mobility. Journal of Non-Equilibrium Thermodynamics, 41 (2).

2015

Erbar, M. and Maas, J. and Renger, M. (2015) From large deviations to Wasserstein gradient flows in multiple dimensions. Electronic Communications in Probability, 20 (89).