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of 70
pro vyhledávání: '"Vuletić, Mirjana"'
Autor:
Li, Zhongyang, Vuletić, Mirjana
We study asymptotic limit of random pure dimer coverings on rail yardgraphs when the mesh sizes of the graphs go to 0. Each pure dimer covering correspondsto a sequence of interlacing partitions starting with an empty partition and ending inan empty
Externí odkaz:
http://arxiv.org/abs/2110.11393
Publikováno v:
S\'eminaire Lotharingien de Combinatoire, 82B.34 (2019), Proceedings of the 31st Conference on Formal Power Series and Algebraic Combinatorics (Ljubljana)
We study edge asymptotics of poissonized Plancherel-type measures on skew Young diagrams (integer partitions). These measures can be seen as generalizations of those studied by Baik--Deift--Johansson and Baik--Rains in resolving Ulam's problem on lon
Externí odkaz:
http://arxiv.org/abs/1902.08750
Publikováno v:
Ann. Henri Poincar\'e 19 (2018), 3663-3742
We investigate the free boundary Schur process, a variant of the Schur process introduced by Okounkov and Reshetikhin, where we allow the first and the last partitions to be arbitrary (instead of empty in the original setting). The pfaffian Schur pro
Externí odkaz:
http://arxiv.org/abs/1704.05809
Autor:
Vuletić, Mirjana
This thesis consists of an introduction and three independent chapters. In Chapter 2, we define the shifted Schur process as a measure on sequences of strict partitions. This process is a generalization of the shifted Schur measure introduced by Trac
Externí odkaz:
https://thesis.library.caltech.edu/2280/1/thesis.pdf
Autor:
Betea, Dan, Boutillier, Cédric, Bouttier, Jérémie, Chapuy, Guillaume, Corteel, Sylvie, Vuletić, Mirjana
Publikováno v:
Markov Processes Relat. Fields 24, 381-418 (2018)
We describe random generation algorithms for a large class of random combinatorial objects called Schur processes, which are sequences of random (integer) partitions subject to certain interlacing conditions. This class contains several fundamental c
Externí odkaz:
http://arxiv.org/abs/1407.3764
Autor:
Zhongyang Li1 zhongyang.li@uconn.edu, Vuletić, Mirjana2 mirjana.vuletic@umb.edu
Publikováno v:
Forum of Mathematics, Sigma. 2023, Vol. 11, p1-61. 61p.
Generating functions for plane overpartitions are obtained using various methods such as nonintersecting paths, RSK type algorithms and symmetric functions. We extend some of the generating functions to cylindric partitions. Also, we show that plane
Externí odkaz:
http://arxiv.org/abs/0903.2039
Akademický článek
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Autor:
Vuletić, Mirjana
Publikováno v:
Trans. Amer. Math. Soc. 361 (2009), 2789-2804
We generalize the generating formula for plane partitions known as MacMahon's formula as well as its analog for strict plane partitions. We give a 2-parameter generalization of these formulas related to Macdonald's symmetric functions. The formula is
Externí odkaz:
http://arxiv.org/abs/0707.0532
Autor:
Vuletić, Mirjana
Publikováno v:
Int. Math. Res. Notices (2007), Vol 2007, article ID rnm043, 53 pages
In this paper we define the shifted Schur process as a measure on sequences of strict partitions. This process is a generalization of the shifted Schur measure introduced in [TW] and [Mat] and is a shifted version of the Schur process introduced in [
Externí odkaz:
http://arxiv.org/abs/math-ph/0702068