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pro vyhledávání: '"Florian Völlering"'
Autor:
Florian Völlering
Publikováno v:
Electron. Commun. Probab.
Generators of Markov processes on a countable state space can be represented as finite or infinite matrices. One key property is that the off-diagonal entries corresponding to jump rates of the Markov process are non-negative. Here we present stochas
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c9251e9576904a3315e0f1be9851fe42
Publikováno v:
Probability Theory and Related Fields
Probability Theory and Related Fields, 171(3-4), 865-915
Avena, L, Jara, M & Vollering, F 2018, ' Explicit LDP for a slowed RW driven by a symmetric exclusion process ', Probability Theory and Related Fields, vol. 171, no. 3-4, pp. 865–915 . https://doi.org/10.1007/s00440-017-0797-6
Probability Theory and Related Fields, 171(3-4), 865-915
Avena, L, Jara, M & Vollering, F 2018, ' Explicit LDP for a slowed RW driven by a symmetric exclusion process ', Probability Theory and Related Fields, vol. 171, no. 3-4, pp. 865–915 . https://doi.org/10.1007/s00440-017-0797-6
We consider a random walk (RW) driven by a simple symmetric exclusion process (SSE). Rescaling the RW and the SSE in such a way that a joint hydrodynamic limit theorem holds we prove a joint path large deviation principle. The corresponding large dev
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::24a2d1ec1da88b470992d952feb18dac
https://doi.org/10.1007/s00440-017-0797-6
https://doi.org/10.1007/s00440-017-0797-6
Publikováno v:
Ann. Probab. 46, no. 5 (2018), 2800-2862
Hammer, M, Ortgiese, M & Vollering, F 2018, ' A new look at duality for the symbiotic branching model ', Annals of Probability, vol. 46, no. 5, pp. 2800-2862 . https://doi.org/10.1214/17-AOP1240
Hammer, M, Ortgiese, M & Vollering, F 2018, ' A new look at duality for the symbiotic branching model ', Annals of Probability, vol. 46, no. 5, pp. 2800-2862 . https://doi.org/10.1214/17-AOP1240
The symbiotic branching model is a spatial population model describing the dynamics of two interacting types that can only branch if both types are present. A classical result for the underlying stochastic partial differential equation identifies mom
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bd8caab7b4b27aab247928420890fa4e
https://doi.org/10.1214/17-aop1240
https://doi.org/10.1214/17-aop1240
Publikováno v:
Hammer, M, Ortgiese, M & Vollering, F 2021, ' Entrance laws for annihilating Brownian motions and the continuous-space voter model ', Stochastic Processes and their Applications, vol. 134, pp. 240-264 . https://doi.org/10.1016/j.spa.2021.01.002
Consider a system of particles moving independently as Brownian motions until two of them meet, when the colliding pair annihilates instantly. The construction of such a system of annihilating Brownian motions (aBMs) is straightforward as long as we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::41afff5e47fac587c231627eaec036e0
http://arxiv.org/abs/1801.06197
http://arxiv.org/abs/1801.06197
Autor:
Florian Völlering
Publikováno v:
Ann. Inst. H. Poincaré Probab. Statist. 52, no. 1 (2016), 173-195
Nous etendons l’inegalite de Talagrand pour des variables aleatoires de Bernoulli a une grande classe de systemes de particules. L’hypothese principale est que les systemes de particules satisfont l’inegalite de log-Sobolev. Dans ce contexte no
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a67b086d6db5dedd34b4d294f17533b
http://projecteuclid.org/euclid.aihp/1452089266
http://projecteuclid.org/euclid.aihp/1452089266
Publikováno v:
Electron. J. Probab.
We prove results for random walks in dynamic random environments which do not require the strong uniform mixing assumptions present in the literature. We focus on the "environment seen from the walker"-process and in particular its invariant law. Und
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2760188004eb6ebaa0c319ea3e7428f9
https://projecteuclid.org/euclid.ejp/1480688088
https://projecteuclid.org/euclid.ejp/1480688088
Publikováno v:
Ann. Inst. H. Poincaré Probab. Statist. 51, no. 3 (2015), 901-916
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 51(3), 901-916
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 51(3), 901-916
We consider a one-dimensional continuous time random walk with transition rates depending on an underlying autonomous simple symmetric exclusion process starting out of equilibrium. This model represents an example of a random walk in a slowly non-un
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ccee70759c1bb6442aeecf0408a368ed
https://doi.org/10.1214/14-aihp607
https://doi.org/10.1214/14-aihp607
Autor:
Florian Völlering, Frank Redig
Publikováno v:
Ann. Probab. 41, no. 5 (2013), 3157-3180
We study a general class of random walks driven by a uniquely ergodic Markovian environment. Under a coupling condition on the environment we obtain strong ergodicity properties for the environment as seen from the position of the walker, that is, th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2af97826f1f1a59bd3e9eebefcdfd591
https://doi.org/10.1214/12-aop819
https://doi.org/10.1214/12-aop819
Autor:
Florian Völlering
Publikováno v:
Electron. J. Probab.
A variance inequality for spin-flip systems is obtained using comparatively weaker knowledge of relaxation to equilibrium based on coupling estimates for single site disturbances. We obtain variance inequalities interpolating between the Poincar\'e i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::beda14d50242c466a40f721624f25437