Branching random walks and multi-type contact-processes on the percolation cluster of \(\mathbb{Z}^{d}\)
From MaRDI portal
Publication:2354889
DOI10.1214/14-AAP1040zbMath1319.60165arXiv1311.5369MaRDI QIDQ2354889
Daniela Bertacchi, Fabio Zucca
Publication date: 27 July 2015
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.5369
Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
Related Items (5)
The timing of life history events in the presence of soft disturbances ⋮ Spread of a catalytic branching random walk on a multidimensional lattice ⋮ Monotonicity of escape probabilities for branching random walks on \(\mathbb{Z}^d\) ⋮ Global survival of branching random walks and tree-like branching random walks ⋮ Galton-Watson processes in varying environment and accessibility percolation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The small world effect on the coalescing time of random walks
- Survival of branching random walks in random environment
- Survival, extinction and approximation of discrete-time branching random walks
- Contact and voter processes on the infinite percolation cluster as models of host-symbiont interactions
- Characterization of critical values of branching random walks on weighted graphs through infinite-type branching processes
- A criterion for transience of multidimensional branching random walk in random environment
- Oriented percolation in two dimensions
- Branching random walks on trees
- The contact process on trees
- A note on transience versus recurrence for a branching random walk in random environment
- Random walks on supercritical percolation clusters
- The branching random walk and contact process on Galton-Watson and nonhomogeneous trees
- Surface order large deviations for Ising, Potts and percolation models
- Collisions of random walks
- Anisotropic branching random walks on homogeneous trees
- Interacting growth processes and invariant percolation
- Two phase transitions for the contact process on small worlds
- Ecological equilibrium for restrained branching random walks
- Surface order large deviations for 2D FK-percolation and Potts models
- Non-negative matrices and Markov chains.
- Individual versus cluster recoveries within a spatially structured population
- Branching random walks and contact processes on homogeneous trees
- Branching random walk in random environment on trees.
- One-dimensional branching random walks in a Markovian random environment
- A self-regulating and patch subdivided population
- Critical Behaviors and Critical Values of Branching Random Walks on Multigraphs
- Ergodic theorems for coupled random walks and other systems with locally interacting components
- Percolation
- Uniform asymptotic estimates of transition probabilities on combs
- Strong Local Survival of Branching Random Walks is Not Monotone
- Approximating Critical Parameters of Branching Random Walks
This page was built for publication: Branching random walks and multi-type contact-processes on the percolation cluster of \(\mathbb{Z}^{d}\)
