Linear growth for greedy lattice animals.

DOI10.1016/S0304-4149(01)00142-9zbMath1060.60045MaRDI QIDQ1766053

James B. Martin

Publication date: 25 February 2005

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

concentration inequalitylattice animalssuperadditivityself-avoiding paths

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (24)

Greedy lattice animals: Negative values and unconstrained maxima ⋮ Continuous first-passage percolation and continuous greedy paths model: Linear growth ⋮ Mass concentration and aging in the parabolic Anderson model with doubly-exponential tails ⋮ Heavy tails in last-passage percolation ⋮ Power law condition for stability of Poisson hail ⋮ Localization for random walks among random obstacles in a single Euclidean ball ⋮ Strong localization and macroscopic atoms for directed polymers ⋮ Paths and animals in infinite graphs with tempered degree growth ⋮ Correlation length of the two-dimensional random field Ising model via greedy lattice animal ⋮ Stable systems with power law conditions for Poisson hail ⋮ Sublinearity of the travel-time variance for dependent first-passage percolation ⋮ Scaling limit of the heavy tailed ballistic deposition model with \(p\)-sticking ⋮ From stability to chaos in last‐passage percolation ⋮ Activated Random Walks on \(\mathbb{Z}^d\) ⋮ Quenched point-to-point free energy for random walks in random potentials ⋮ Quenched Free Energy and Large Deviations for Random Walks in Random Potentials ⋮ Limiting shape for directed percolation models ⋮ Greedy lattice animals: geometry and criticality ⋮ Stochastic Geometry: Boolean model and random geometric graphs ⋮ Sublinear variance in first-passage percolation for general distributions ⋮ Delocalization of polymers in lower tail large deviation ⋮ Disorder and denaturation transition in the generalized Poland-Scheraga model ⋮ Poly-logarithmic localization for random walks among random obstacles ⋮ Directed last passage percolation with discontinuous weights

Cites Work

• Unnamed Item
• The continuity of \(M\) and \(N\) in greedy lattice animals
• Departures from many queues in series
• The power laws of \(M\) and \(N\) in greedy lattice animals
• Greedy lattice animals. I: Upper bounds
• An inequality for greedy lattice animals
• Greedy lattice animals. II: Linear growth
• Asymptotic results on infinite tandem queueing networks
• Concentration of measure and isoperimetric inequalities in product spaces
• Ergodic theorems for superadditive processes.

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