Zobrazeno 1 - 10
of 222
pro vyhledávání: '"MARTIN, JAMES B."'
Autor:
Ayyer, Arvind, Martin, James B.
We introduce and study a natural multispecies variant of the inhomogeneous PushTASEP with site-dependent rates on the finite ring. We show that the stationary distribution of this process is proportional to the ASEP polynomials at $q = 1$ and $t = 0$
Externí odkaz:
http://arxiv.org/abs/2310.09740
In a previous part of this work, we gave a new tableau formula for the modified Macdonald polynomials $\widetilde{H}_{\lambda}(X;q,t)$, using a weight on tableaux involving the queue inversion (quinv) statistic. In this paper we establish a link betw
Externí odkaz:
http://arxiv.org/abs/2209.09859
Autor:
Martin, James B.
For a collection of papers in memory of Elwyn Berlekamp (1940-2019), John Conway (1937-2020), and Richard Guy (1916-2020). The Sprague-Grundy theory for finite games without cycles was extended to general finite games by Cedric Smith and by Aviezri F
Externí odkaz:
http://arxiv.org/abs/2107.08428
A well-known question in the planar first-passage percolation model concerns the convergence of the empirical distribution along geodesics. We demonstrate this convergence for an explicit model, directed last-passage percolation on $\mathbb{Z}^2$ wit
Externí odkaz:
http://arxiv.org/abs/2106.05242
Publikováno v:
Algebraic Combinatorics, Volume 6, issue 1 (2023), p. 243-284
In this paper we prove a new combinatorial formula for the modified Macdonald polynomials $\widetilde{H}_\lambda(X;q,t)$, motivated by connections to the theory of interacting particle systems from statistical mechanics. The formula involves a new st
Externí odkaz:
http://arxiv.org/abs/2011.06117
Akademický článek
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In [AAV] Amir, Angel and Valk{\'o} studied a multi-type version of the totally asymmetric simple exclusion process (TASEP) and introduced the TASEP speed process, which allowed them to answer delicate questions about the joint distribution of the spe
Externí odkaz:
http://arxiv.org/abs/1911.06504
We consider two-player combinatorial games in which the graph of positions is random and perhaps infinite, focusing on directed Galton-Watson trees. As the offspring distribution is varied, a game can undergo a phase transition, in which the probabil
Externí odkaz:
http://arxiv.org/abs/1904.04150
Autor:
Martin, James B.
We give a recursive construction of the stationary distribution of multi-type asymmetric simple exclusion processes on a finite ring or on the infinite line $Z$. The construction can be interpreted in terms of "multi-line diagrams" or systems of queu
Externí odkaz:
http://arxiv.org/abs/1810.10650
Autor:
Martin, James B., Stasiński, Roman
We consider the behaviour of minimax recursions defined on random trees. Such recursions give the value of a general class of two-player combinatorial games. We examine in particular the case where the tree is given by a Galton-Watson branching proce
Externí odkaz:
http://arxiv.org/abs/1806.07838