Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Nathanaël Berestycki"'
Publikováno v:
Arkiv för Matematik. 61:41-66
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5abc5689a77afe39cfb865d6ba2120fb
https://doi.org/10.4310/arkiv.2023.v61.n1.a3
https://doi.org/10.4310/arkiv.2023.v61.n1.a3
Autor:
Raphaël Cerf, Nathanaël Berestycki
Publikováno v:
Annales Henri Lebesgue. 4:1-79
The abstract is available here: https://uscholar.univie.ac.at/o:1610892
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f0978d71015ad1c9e9e350a7a389bf3
https://doi.org/10.5802/ahl.66
https://doi.org/10.5802/ahl.66
Publikováno v:
Electronic Journal of Probability, 2021, Vol.26(44), pp.1-25 [Peer Reviewed Journal]
We show that there is “no stable free field of index α ∈ ( 1 , 2 ) ”, in the following sense. It was proved in [4] that subject to a fourth moment assumption, any random generalised function on a domain D of the plane, satisfying conformal inv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8b0bacb3f0552e43797a2837a70ac0b4
https://doi.org/10.1214/20-ejp566
https://doi.org/10.1214/20-ejp566
Publikováno v:
Ann. Probab. 48, no. 1 (2020), 1-52
Annals of Probability
Annals of Probability, Institute of Mathematical Statistics, In press
Annals of Probability
Annals of Probability, Institute of Mathematical Statistics, In press
We present a general result which shows that the winding of the branches in a uniform spanning tree on a planar graph converge in the limit of fine mesh size to a Gaussian free field. The result holds true assuming only convergence of simple random w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::226840657b05f4b3e1e98e7c2bf067e6
https://projecteuclid.org/euclid.aop/1585123322
https://projecteuclid.org/euclid.aop/1585123322
Autor:
Nathanaël Berestycki, Henry Jackson
Publikováno v:
Israel Journal of Mathematics. 228:973-999
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3ca57e28d13a13436b199490222fcb9a
https://doi.org/10.1007/s11856-018-1789-7
https://doi.org/10.1007/s11856-018-1789-7
Autor:
Ariel Yadin, Nathanaël Berestycki
Publikováno v:
Ann. Inst. H. Poincaré Probab. Statist. 55, no. 2 (2019), 835-861
Nous introduisons une mesure de Gibbs sur les chemins de longueur $t$ dans le reseau Euclidien de dimension $d$, telle qu’un chemin donne est penalise par un facteur proportionnel a la taille de sa frontiere et l’inverse d’une temperature $\bet
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf4d26a6cbc780f6fb2697376720f949
https://projecteuclid.org/euclid.aihp/1557820833
https://projecteuclid.org/euclid.aihp/1557820833
Autor:
Nathanaël Berestycki, Bati Sengul
We prove a conjecture raised by the work of Diaconis and Shahshahani (1981) about the mixing time of random walks on the permutation group induced by a given conjugacy class. To do this we exploit a connection with coalescence and fragmentation proce
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fcbd164b636c2bbbfb901167facedc97
Autor:
Lee Zhuo Zhao, Nathanaël Berestycki
Publikováno v:
Ann. Appl. Probab. 28, no. 2 (2018), 651-687
We introduce particle systems in one or more dimensions in which particles perform branching Brownian motion and the population size is kept constant equal to $N>1$, through the following selection mechanism: at all times only the $N$ fittest particl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c7cb3e6a4c508efc55c0e331f743cfa6
https://projecteuclid.org/euclid.aoap/1523433619
https://projecteuclid.org/euclid.aoap/1523433619
Publikováno v:
Probability theory and related fields, 2020, Vol.176(3-4), pp.1259-1301 [Peer Reviewed Journal]
Probability Theory and Related Fields, 176 (3)
Probability Theory and Related Fields, 176 (3)
We prove that a random distribution in two dimensions which is conformally invariant and satisfies a natural domain Markov property is a multiple of the Gaussian free field. This result holds subject only to a fourth moment assumption.
Minor rev
Minor rev
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::adda0feb969c189955fbcc2194d5b05d
http://arxiv.org/abs/1802.01195
http://arxiv.org/abs/1802.01195
Autor:
Nathanaël Berestycki, Gady Kozma
Publikováno v:
Bulletin de la Société mathématique de France. 143:265-281
Consider the process of random transpositions on the complete graph. We use representation theory to give an exact, simple formula for the expected number of cycles of size k at time t, in terms of an incomplete Beta function. Using this we show that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5578684a5514a4cf1576b9e7418a962c
https://doi.org/10.24033/bsmf.2686
https://doi.org/10.24033/bsmf.2686