Zobrazeno 1 - 10
of 12
pro vyhledávání: '"D. R. Michiel Renger"'
Autor:
D. R. Michiel Renger
Publikováno v:
Entropy, Vol 20, Iss 8, p 596 (2018)
In a previous work we devised a framework to derive generalised gradient systems for an evolution equation from the large deviations of an underlying microscopic system, in the spirit of the Onsager–Machlup relations. Of particular interest is the
Externí odkaz:
https://doaj.org/article/6ccf471f5a5847eeb7f5f293ccce1f3c
Publikováno v:
Zeitschrift für Analysis und ihre Anwendungen. 41:229-238
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::011273d68bf1cbef93643ecb0922ec2b
https://doi.org/10.4171/zaa/1706
https://doi.org/10.4171/zaa/1706
Autor:
D. R. Michiel Renger, Mark A. Peletier
Publikováno v:
Journal of Dynamics and Differential Equations, 35(1), 865-906. Springer
We study the convergence of a sequence of evolution equations for measures supported on the nodes of a graph. The evolution equations themselves can be interpreted as the forward Kolmogorov equations of Markov jump processes, or equivalently as the e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1fd4c93a5e957cdca85e30fb69909bfa
https://doi.org/10.1007/s10884-021-10024-2
https://doi.org/10.1007/s10884-021-10024-2
Autor:
Johannes Zimmer, D. R. Michiel Renger
Publikováno v:
Renger, M & Zimmer, J 2021, ' Orthogonality of fluxes in general nonlinear reaction networks ', Discrete and Continuous Dynamical Systems Series S, vol. 14, no. 1, pp. 205-217 . https://doi.org/10.3934/dcdss.2020346
We consider the chemical reaction networks and study currents in these systems. Reviewing recent decomposition of rate functionals from large deviation theory for Markov processes, we adapt these results for reaction networks. In particular, we state
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fd563ee791fca192578474972b05ed53
https://purehost.bath.ac.uk/ws/files/202561594/Orthogonal14_revision_.pdf
https://purehost.bath.ac.uk/ws/files/202561594/Orthogonal14_revision_.pdf
Autor:
Davide Gabrielli, D. R. Michiel Renger
We study the time-averaged flow in a model of particles that randomly hop on a finite directed graph. In the limit as the number of particles and the time window go to infinity but the graph remains finite, the large-deviation rate functional of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::095a90c817073f62580534f01c5f2a5a
Publikováno v:
Journal of Evolution Equations. 19:111-152
We study functions of bounded variation with values in a Banach or in a metric space. In finite dimensions, there are three well-known topologies; we argue that in infinite dimensions there is a natural fourth topology. We provide some insight into t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2e1987db456bbdbe67bf24e0cc8573e3
https://doi.org/10.1007/s00028-018-0471-1
https://doi.org/10.1007/s00028-018-0471-1
Autor:
Péter Koltai, D. R. Michiel Renger
Publikováno v:
Journal of Nonlinear Science
One way to analyze complicated non-autonomous flows is through trying to understand their transport behavior. In a quantitative, set-oriented approach to transport and mixing, finite time coherent sets play an important role. These are time-parametri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6e830d8de083e4279017786d3df44072
http://europepmc.org/articles/PMC6132839
http://europepmc.org/articles/PMC6132839
Publikováno v:
Mathematical Physics, Analysis and Geometry. 22
We study a general class of systems of interacting particles that randomly interact to form new or different particles. In addition to the distribution of particles we consider the fluxes, defined as the rescaled number of jumps of each type that tak
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::635d4517ca0c539c0fbfbd2e17f5a07e
https://doi.org/10.1007/s11040-019-9318-4
https://doi.org/10.1007/s11040-019-9318-4
Publikováno v:
Journal of Non-Equilibrium Thermodynamics, 41(2), 141-149. Walter de Gruyter GmbH
Onsager's 1931 `reciprocity relations' result connects microscopic time-reversibility with a symmetry property of corresponding macroscopic evolution equations. Among the many consequences is a variational characterization of the macroscopic evolutio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20d1a51538e247292531fadae32428ed
Publikováno v:
Electron. Commun. Probab.
We study the large deviation rate functional for the empirical distribution of independent Brownian particles with drift. In one dimension, it has been shown by Adams, Dirr, Peletier and Zimmer that this functional is asymptotically equivalent (in th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::10b3efeac84894418659a6f28d4dc6a4
https://doi.org/10.1214/ecp.v20-4315
https://doi.org/10.1214/ecp.v20-4315