Zobrazeno 1 - 10
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pro vyhledávání: '"Jan M Swart"'
Publikováno v:
Genealogies of Interacting Particle Systems. :i-x
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https://explore.openaire.eu/search/publication?articleId=doi_________::2261076b75865f567074228af396823b
https://doi.org/10.1142/9789811206092_fmatter
https://doi.org/10.1142/9789811206092_fmatter
Autor:
Jan Niklas Latz, Jan M. Swart
In this paper we use duality techniques to study a combination of the well-known contact process (CP) and the somewhat less-known annihilating branching process. As the latter can be seen as a cancellative version of the contact process, we rebrand i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5bbfc0974de5bf8ef405eff63cce3dce
Autor:
Jan Niklas Latz, Jan M. Swart
We introduce two partially overlapping classes of pathwise dualities between interacting particle systems that are based on commutative monoids (semigroups with a neutral element) and semirings, respectively. For interacting particle systems whose lo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0c11778d2d2b2d8e829c32953bcf7900
http://arxiv.org/abs/2108.01492
http://arxiv.org/abs/2108.01492
Publikováno v:
Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore ISBN: 9789811206085
Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore
Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore
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https://explore.openaire.eu/search/publication?articleId=doi_________::58e3d2c5f5a7b48c2829fe5361e48d1b
https://doi.org/10.1142/11439
https://doi.org/10.1142/11439
In frozen percolation, i.i.d. uniformly distributed activation times are assigned to the edges of a graph. At its assigned time, an edge opens provided neither of its endvertices is part of an infinite open cluster; in the opposite case, it freezes.
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b3b5a3aa8101f9c70e4dc5f0d55700a
http://arxiv.org/abs/1910.09213
http://arxiv.org/abs/1910.09213
Publikováno v:
Bernoulli 27, no. 1 (2021), 615-636
We consider one-dimensional biased voter models, where 1's replace 0's at a faster rate than the other way round, started in a Heaviside initial state describing the interface between two infinite populations of 0's and 1's. In the limit of weak bias
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b05ecd7a9ca65302ee695e3a4b75e7d
http://arxiv.org/abs/1908.02944
http://arxiv.org/abs/1908.02944
Interacting particle systems are Markov processes involving infinitely many interacting components. Since their introduction in the 1970s, researchers have found many applications in statistical physics and population biology. Genealogies, which foll
Autor:
Jan M. Swart
Publikováno v:
Ann. Appl. Probab. 28, no. 3 (2018), 1491-1535
In 1964, G. J. Stigler introduced a stochastic model for the evolution of an order book on a stock market. This model was independently rediscovered and generalized by H. Luckock in 2003. In his formulation, traders place buy and sell limit orders of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::83ba4d35302c136229398acd69ebfc67
https://doi.org/10.1214/17-aap1336
https://doi.org/10.1214/17-aap1336
Publikováno v:
Ann. Appl. Probab. 29, no. 4 (2019), 2556-2593
A one-dimensional interacting particle system is said to exhibit interface tightness if starting in an initial condition describing the interface between two constant configurations of different types, the process modulo translations is positive recu
Externí odkaz:
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http://arxiv.org/abs/1804.04342
http://arxiv.org/abs/1804.04342