Zobrazeno 1 - 10
of 82
pro vyhledávání: '"Pierre van Moerbeke"'
Autor:
Mark Adler, Pierre van Moerbeke
Random tilings of very large domains will typically lead to a solid, a liquid, and a gas phase. In the two-phase case, the solid-liquid boundary (arctic curve) is smooth, possibly with singularities. At the point of tangency of the arctic curve with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::430fc874e2597a97480f1e5db1abd7a6
Publikováno v:
Mathematical Physics, Analysis and Geometry. 21
This paper investigates lozenge tilings of non-convex hexagonal regions and more specifically the asymptotic fluctuations of the tilings within and near the strip formed by opposite cuts in the regions, when the size of the regions tend to infinity,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3841ff44c6d91a2cde44943c4c932064
https://doi.org/10.1007/s11040-018-9265-5
https://doi.org/10.1007/s11040-018-9265-5
Autor:
Pierre van Moerbeke, Mark Adler
This paper is based on the study of random lozenge tilings of non-convex polygonal regions with interacting non-convexities (cuts) and the corresponding asymptotic kernel as in [3] and [4] (discrete tacnode kernel). Here this kernel is used to find t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a8ac5bbfd514d9c65fb8fbdf99c322e
Autor:
Mark Adler, Pierre van Moerbeke
Publikováno v:
International Mathematics Research Notices. 2015:10987-11044
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e0259d5924a5111740f924cea0ac4863
https://doi.org/10.1093/imrn/rnu280
https://doi.org/10.1093/imrn/rnu280
Publikováno v:
Stochastic Processes and their Applications. 124:2023-2051
In 1962, Dyson (1962) introduced dynamics in random matrix models, in particular into GUE (also for β=1 and 4), by letting the entries evolve according to independent Ornstein-Uhlenbeck processes. Dyson shows the spectral points of the matrix evolve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6dd18d2f04a999ce3c1a92984ea93b98
https://doi.org/10.1016/j.spa.2014.01.008
https://doi.org/10.1016/j.spa.2014.01.008
Publikováno v:
Advances in Mathematics. 252:518-571
Discrete and continuous non-intersecting random processes have given rise to critical "infinite-dimensional diffusions", like the Airy process, the Pearcey process and variations thereof. It has be ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ff97f8c9d1af41bdafa260e54008a938
https://doi.org/10.1016/j.aim.2013.10.012
https://doi.org/10.1016/j.aim.2013.10.012
This volume presents a selection of papers by Henry P. McKean, which illustrate the various areas in mathematics in which he has made seminal contributions. Topics covered include probability theory, integrable systems, geometry and financial mathema
Publikováno v:
Physica D: Nonlinear Phenomena. 241:443-460
Consider n non-intersecting Brownian motions on R , depending on time t ∈ [ 0 , 1 ] , with m i particles forced to leave from a i at time t = 0 , 1 ≤ i ≤ q , and n j particles forced to end up at b j at time t = 1 , 1 ≤ j ≤ p . For arbitrar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::130642da8ee1876e6f7dc9c9c563d919
https://doi.org/10.1016/j.physd.2011.10.019
https://doi.org/10.1016/j.physd.2011.10.019
Autor:
Pierre van Moerbeke, Mark Adler
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 51:423001
This paper gives the most general form of the Adler-Kostant-Symes Theorem, and many applications of it, both finite and infinite dimensional, the former yielding algebraic completely integrable (a.c.i.) systems, and the latter examples in random matr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::42c136f2a48d689d2e6fccafea960a1e
https://doi.org/10.1088/1751-8121/aad82d
https://doi.org/10.1088/1751-8121/aad82d