Lower bounds for fluctuations in first-passage percolation for general distributions
type: Item
instance of: scholarly article
title: Lower bounds for fluctuations in first-passage percolation for general distributions
zbMATH Open document ID: 1434.60280
DOI: 10.1214/19-AIHP1004
author: Michael Damron
author: Jack Hanson
author: Christian Houdré
author: Chen Xu
published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques
publication date: 2020-05-13T00:00:00Z
full work available at URL: https://arxiv.org/abs/1810.08270
full work available at URL: https://projecteuclid.org/euclid.aihp/1584345640
Mathematics Subject Classification ID: 60K35
zbMATH DE Number: 7199900
zbMATH Keywords: first-passage percolation
zbMATH Keywords: fluctuations
zbMATH Keywords: small-ball probability
MaRDI profile type: Publication
arXiv ID: 1810.08270
cites work: On Bernoulli decompositions for random variables, concentration bounds, and spectral localization
cites work: Approximation of subadditive functions and convergence rates in limiting-shape results
cites work: Differentiability at the edge of the percolation cone and related results in first-passage percolation
cites work: Rate of convergence of the mean for sub-additive ergodic sequences
cites work: 50 Years of First-Passage Percolation
cites work: Fluctuation lower bounds in planar random growth models
cites work: Exponential concentration for first passage percolation through modified Poincaré inequalities
cites work: First passage percolation has sublinear distance variance.
cites work: Weak shape theorem in first passage percolation with infinite passage times
cites work: The universal relation between scaling exponents in first-passage percolation
cites work: Central limit theorem for first-passage percolation time across thin cylinders
cites work: Sublinear variance in first-passage percolation for general distributions
cites work: Asymptotics for \(2D\) critical first passage percolation
cites work: Oriented percolation in two dimensions
cites work: Lower bounds on the generalized central moments of the optimal alignments score of random sequences
cites work: Percolation
cites work: On the Order of the Central Moments of the Length of the Longest Common Subsequences in Random Words
cites work: Shape fluctuations and random matrices
cites work: Q3738376
cites work: On the speed of convergence in first-passage percolation
cites work: Standard deviation of the longest common subsequence
cites work: Superdiffusivity in first-passage percolation
cites work: Strict inequalities for the time constant in first passage percolation.
cites work: Divergence of shape fluctuations in two dimensions
cites work: Q4848563
cites work: Speed of convergence in first passage percolation and geodesicity of the average distance
OpenAlex ID: W3012095969
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description: scientific article