Results 11 to 20 of about 80 (79)
HALF-SPACE MACDONALD PROCESSES
Forum of Mathematics, Pi, 2020 Macdonald processes are measures on sequences of integer partitions built using the Cauchy summation identity for Macdonald symmetric functions. These measures are a useful tool to uncover the integrability of many probabilistic systems, including the ...
GUILLAUME BARRAQUAND +2 more
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Boundedness of one‐dimensional branching Markov processes
International Journal of Stochastic Analysis, Volume 10, Issue 4, Page 307-332, 1997., 1997 A general model of a branching Markov process on ℝ is considered. Sufficient and necessary conditions are given for the random variable to be finite. Here Ξk(t) is the position of the kth particle, and N(t) is the size of the population at time t. For some classes of processes (smooth branching diffusions with Feller‐type boundary points), this results
F. I. Karpelevich, Yu. M. Suhov
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Balls left empty by a critical branching Wiener process
International Journal of Stochastic Analysis, Volume 9, Issue 4, Page 531-549, 1996., 1996 At time t = 0 we have a Poisson random field on ℝd. Each particle executes a critical branching Wiener process starting from its position at time t = 0. Let RT be the radius of the largest ball around the origin of ℝd which does not contain any particle at time T. Our goal is to characterize the properties of the stochastic process {RT, T ≥ 0}.
Pál Révész
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Non-existence of bi-infinite geodesics in the exponential corner growth model
Forum of Mathematics, Sigma, 2020 This paper gives a self-contained proof of the non-existence of nontrivial bi-infinite geodesics in directed planar last-passage percolation with exponential weights.
Márton Balázs +2 more
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Forum of Mathematics, Pi, 2017 Conformal loop ensembles (CLEs) are random collections of loops in a simply connected domain, whose laws are characterized by a natural conformal invariance property.
JASON MILLER +2 more
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ADDITIVITY PROPERTIES OF SOFIC ENTROPY AND MEASURES ON MODEL SPACES
Forum of Mathematics, Sigma, 2016 Sofic entropy is an invariant for probability-preserving actions of sofic groups. It was introduced a few years ago by Lewis Bowen, and shown to extend the classical Kolmogorov–Sinai entropy from the setting of amenable groups.
TIM AUSTIN
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YANG–BAXTER FIELD FOR SPIN HALL–LITTLEWOOD SYMMETRIC FUNCTIONS
Forum of Mathematics, Sigma, 2019 Employing bijectivization of summation identities, we introduce local stochastic moves based on the Yang–Baxter equation for $U_{q}(\widehat{\mathfrak{sl}_{2}})$.
ALEXEY BUFETOV, LEONID PETROV
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, 2003 International Journal of Stochastic Analysis, Volume 16, Issue 1, Page 45-67, 2003.
Anatoli V. Skorokhod
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Self-avoiding walk is ballistic on graphs with more than one end
Forum of Mathematics, SigmaWe prove that on any transitive graph G with infinitely many ends, a self-avoiding walk of length n is ballistic with extremely high probability, in the sense that there exist constants $c,t>0$ such that $\mathbb {P}_n(d_G(w_0,w_n)\geq cn)\geq
Florian Lehner +2 more
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Counting minimal cutsets and $p_c<1$
Forum of Mathematics, PiWe prove two results concerning percolation on general graphs. • We establish the converse of the classical Peierls argument: if the critical parameter for (uniform) percolation satisfies ...
Philip Easo +2 more
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