Sublinear variance in first-passage percolation for general distributions
From MaRDI portal
Publication:748443
DOI10.1007/s00440-014-0591-7zbMath1331.60182arXiv1306.1197OpenAlexW1971708347MaRDI QIDQ748443
Jack Hanson, Michael Damron, Philippe Sosoe
Publication date: 29 October 2015
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1306.1197
Inequalities; stochastic orderings (60E15) Interacting random processes; statistical mechanics type models; percolation theory (60K35)
Related Items
Non asymptotic variance bounds and deviation inequalities by optimal transport, Rate of convergence in first-passage percolation under low moments, Lower bounds for fluctuations in first-passage percolation for general distributions, Sublinear variance in Euclidean first-passage percolation, Optimal tail exponents in general last passage percolation via bootstrapping \& geodesic geometry, First passage percolation on \(\mathbb {Z}^2\): a simulation study, Universality of superconcentration in the Sherrington–Kirkpatrick model, Continuity for the asymptotic shape in the frog model with random initial configurations, On the universality of the superconcentration in mixed \(p\)-spin models, Fluctuation lower bounds in planar random growth models, Harry Kesten's work in probability theory, First passage time of the frog model has a sublinear variance, Transversal fluctuations for a first passage percolation model, Fluctuations in first-passage percolation, A general method for lower bounds on fluctuations of random variables, Asymptotics of First-Passage Percolation on One-Dimensional Graphs, Divergence of non-random fluctuation in first passage percolation, Positive Temperature Versions of Two Theorems on First-Passage Percolation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Subgaussian concentration and rates of convergence in directed polymers
- On the speed of convergence in first-passage percolation
- Exponential concentration for first passage percolation through modified Poincaré inequalities
- Threshold for monotone symmetric properties through a logarithmic Sobolev inequality
- On the concentration and the convergence rate with a moment condition in first passage percolation
- Some limit theorems for percolation processes with necessary and sufficient conditions
- A note on some rates of convergence in first-passage percolation
- Hypercontractivity and logarithmic Sobolev inequalities for the Clifford- Dirichlet form
- The power laws of \(M\) and \(N\) in greedy lattice animals
- Greedy lattice animals. I: Upper bounds
- On Russo's approximate zero-one law
- First passage percolation has sublinear distance variance.
- Linear growth for greedy lattice animals.
- On rates of convergence for common subsequences and first passage time
- Divergence of shape fluctuations in two dimensions
- Concentration of measure and isoperimetric inequalities in product spaces
- Differentiability at the edge of the percolation cone and related results in first-passage percolation
- Shape fluctuations and random matrices
- Shape fluctuations are different in different directions
- Étude des coefficients de Fourier des fonctions de \(L^ p(G)\)
- Concentration Inequalities
- Percolation since Saint-Flour
- Some inequalities satisfied by the quantities of information of Fisher and Shannon
- Dynamic Scaling of Growing Interfaces
- Positive Temperature Versions of Two Theorems on First-Passage Percolation
- Edge-Isoperimetric Inequalities and Influences
