Results 11 to 20 of about 3,304 (74)
Bulletin of the London Mathematical Society, Volume 53, Issue 5, Page 1312-1323, October 2021., 2021 Abstract We present a direct proof of asymptotic consensus in the non‐linear Hegselmann–Krause model with transmission‐type delay, where the communication weights depend on the particle distance in phase space. Our approach is based on an explicit estimate of the shrinkage of the group diameter on finite time intervals and avoids the usage of Lyapunov ...
Jan Haskovec
wiley +1 more source
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
doaj +1 more source
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
wiley +1 more source
Thermodynamic Limit for Spin Glasses. Beyond the Annealed Bound [PDF]
, 2008 Using a correlation inequality of Contucci and Lebowitz for spin glasses, we demonstrate existence of the thermodynamic limit for short-ranged spin glasses, under weaker hypotheses than previously available, namely without the assumption of the annealed ...
A.C.D. Enter van +9 more
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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
wiley +1 more source
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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, 2012 We are making corrections and acknowledging colleagues that pointed out mistakes in our recent paper titled "Occupation and local times for skew Brownian motion with applications to dispersion across an interface" which was published in Annals of Applied
Appuhamillage, Thilanka +4 more
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Spatial-temporal data mining procedure: LASR [PDF]
, 2006 This paper is concerned with the statistical development of our spatial-temporal data mining procedure, LASR (pronounced ``laser''). LASR is the abbreviation for Longitudinal Analysis with Self-Registration of large-$p$-small-$n$ data.
Bogie, Kath +2 more
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