Results 11 to 20 of about 1,638,072 (98)
Anomalous heat-kernel decay for random walk among bounded random conductances [PDF]
arXiv.org, 2006 We consider the nearest-neighbor simple random walk on $\Z^d$, $d\ge2$, driven by a field of bounded random conductances $\omega_{xy}\in[0,1]$. The conductance law is i.i.d.
Noam Berger +3 more
semanticscholar +6 more sources
Law of large numbers and central limit theorem under nonlinear expectations [PDF]
Probability, Uncertainty and Quantitative Risk, 2007 The main achievement of this paper is the finding and proof of Central Limit Theorem (CLT, see Theorem 12) under the framework of sublinear expectation.
S. Peng
semanticscholar +1 more source
Foundations of Modern Probability
Probability Theory and Stochastic Modelling, 2021 * Measure Theory-Basic Notions * Measure Theory-Key Results * Processes, Distributions, and Independence * Random Sequences, Series, and Averages * Characteristic Functions and Classical Limit Theorems * Conditioning and Disintegration * Martingales and ...
O. Kallenberg
semanticscholar +1 more source
Exactly Solvable Balanced Tenable Urns with Random Entries via the Analytic Methodology [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 This paper develops an analytic theory for the study of some Pólya urns with random rules. The idea is to extend the isomorphism theorem in Flajolet et al.
Basile Morcrette, Hosam M. Mahmoud
doaj +1 more source
Invariance principles for random walks in random environment on trees [PDF]
Electronic Journal of Probability, 2018 In arXiv:1609.05666v1 [math.PR] a functional limit theorem was proved. It states that symmetric processes associated with resistance metric measure spaces converge when the underlying spaces converge with respect to the Gromov-Hausdorff-vague topology ...
George Andriopoulos
semanticscholar +1 more source
Convergence of some leader election algorithms [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We start with a set of $n$ players. With some probability $P(n,k)$, we kill $n-k$ players; the other ones stay alive, and we repeat with them. What is the distribution of the number $X_n$ of \emph{phases} (or rounds) before getting only one player?
Svante Janson +2 more
doaj +1 more source
Probability of consensus in the multivariate Deffuant model on finite connected graphs [PDF]
Electronic Communications in Probability, 2020 The Deffuant model is a spatial stochastic model for the dynamics of opinions in which individuals are located on a connected graph representing a social network and characterized by a number in the unit interval representing their opinion.
N. Lanchier, Hsin-Lun Li
semanticscholar +1 more source
A Scaling Limit for t-Schur Measures [PDF]
, 2003 We introduce a new measure on partitions. We assign to each partition λ a probability Sλ(x; t)sλ(y)/Zt where sλ is the Schur function, Sλ(x; t) is a generalization of the Schur function defined by Macdonald (Symmetric Functions and Hall Polynomials, 2nd ...
Sho Matsumoto
semanticscholar +1 more source
The scaling limits of the Minimal Spanning Tree and Invasion Percolation in the plane [PDF]
, 2017 We prove that the Minimal Spanning Tree and the Invasion Percolation Tree on a version of the triangular lattice in the complex plane have unique scaling limits, which are invariant under rotations, scalings, and, in the case of the MST, also under ...
Garban, Christophe +2 more
core +3 more sources
SLE for theoretical physicists [PDF]
, 2005 This article provides an introduction to Schramm(stochastic)-Loewner evolution (SLE) and to its connection with conformal field theory, from the point of view of its application to two-dimensional critical behaviour.
Bauer +27 more
core +2 more sources