Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Stein Andreas Bethuelsen"'
Publikováno v:
Oberwolfach Reports. 17:601-637
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4f012729ff50899c9b02745ac5aa2a00
https://doi.org/10.4171/owr/2020/11
https://doi.org/10.4171/owr/2020/11
We consider a directed random walk on the backbone of the supercritical oriented percolation cluster in dimensions $d+1$ with $d \ge 3$ being the spatial dimension. For this random walk we prove an annealed local central limit theorem and a quenched
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c087ce0529538cfb6f209a902ee60265
http://arxiv.org/abs/2105.09030
http://arxiv.org/abs/2105.09030
Publikováno v:
Electronic Communications in Probability
Bethuelsen, S A, Hirsch, C & Mönch, C 2021, ' Quenched invariance principle for random walks on dynamically averaging random conductances ', Electronic Communications in Probability, vol. 26, 69, pp. 1-13 . https://doi.org/10.1214/21-ECP440
Electronic communications in probability, 26:69. UNIV WASHINGTON, DEPT MATHEMATICS
Bethuelsen, S A, Hirsch, C & Mönch, C 2021, ' Quenched invariance principle for random walks on dynamically averaging random conductances ', Electronic Communications in Probability, vol. 26, 69, pp. 1-13 . https://doi.org/10.1214/21-ECP440
Electronic communications in probability, 26:69. UNIV WASHINGTON, DEPT MATHEMATICS
We prove a quenched invariance principle for continuous-time random walks in a dynamically averaging environment on Z. In the beginning, the conductances may fluctuate substantially, but we assume that as time proceeds, the fluctuations decrease acco
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::266f402fbc579b0ce6af77f39eddb9a9
https://research.rug.nl/en/publications/61a298a1-5bdf-47d3-95ca-0dadbadf7f2b
https://research.rug.nl/en/publications/61a298a1-5bdf-47d3-95ca-0dadbadf7f2b
We consider the plus-phase of the two-dimensional Ising model below the critical temperature. In $1989$ Schonmann proved that the projection of this measure onto a one-dimensional line is not a Gibbs measure. After many years of continued research wh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::201eb40e31ed136977d741d073bb4dea
http://arxiv.org/abs/1802.02059
http://arxiv.org/abs/1802.02059
Autor:
Stein Andreas Bethuelsen
We consider a random walk on top of the contact process on $\mathbb{Z}^d$ with $d\geq 1$. In particular, we focus on the "contact process as seen from the random walk". Under the assumption that the infection rate of the contact process is large or t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1b32790f9355fd7b519ee80cd14d7a70
http://arxiv.org/abs/1607.03410
http://arxiv.org/abs/1607.03410
Publikováno v:
Random Structures & Algorithms, 53(2), 221-237
van den Berg, J & Bethuelsen, S A 2018, ' Stochastic domination in space-time for the contact process ', Random Structures and Algorithms, vol. 53, no. 2, pp. 221-237 . https://doi.org/10.1002/rsa.20766
Random Structures and Algorithms, 53(2), 221-237. John Wiley and Sons Ltd
van den Berg, J & Bethuelsen, S A 2018, ' Stochastic domination in space-time for the contact process ', Random Structures and Algorithms, vol. 53, no. 2, pp. 221-237 . https://doi.org/10.1002/rsa.20766
Random Structures and Algorithms, 53(2), 221-237. John Wiley and Sons Ltd
Liggett and Steif (2006) proved that, for the supercritical contact process on certain graphs, the upper invariant measure stochastically dominates an i.i.d.\ Bernoulli product measure. In particular, they proved this for $\mathbb{Z}^d$ and (for infe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::36dc7528c3fbf104841cc1cb24dc7f0f
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
We prove a law of large numbers for certain random walks on certain attractive dynamic random environments when initialised from all sites equal to the same state. This result applies to random walks on $\mathbb{Z}^d$ with $d\geq1$. We further provid
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::257995a005bb8ba168633b191ab8e359
http://arxiv.org/abs/1411.3581
http://arxiv.org/abs/1411.3581