The branching-ruin number as critical parameter of random processes on trees
From MaRDI portal
Publication:2279316
DOI10.1214/19-EJP383zbMath1427.60198arXiv1811.08058OpenAlexW2986335369MaRDI QIDQ2279316
Cong Bang Huynh, Andrea Collevecchio, Daniel Kious
Publication date: 12 December 2019
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.08058
phase transitionrandom conductance modelbranching numberheavy tailed distributioncookie random walkbranching-ruin number
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Processes in random environments (60K37)
Related Items
A subperiodic tree whose intermediate branching number is strictly less than the lower intermediate growth rate, Once reinforced random walk on \(\mathbb{Z}\times\gamma\)
Cites Work
- Unnamed Item
- Random walks and percolation on trees
- Limit laws for transient random walks in random environment on \(\mathbb Z\)
- Recurrence and transience of a multi-excited random walk on a regular tree
- Phase transition in reinforced random walk and RWRE on trees
- Random walk in a random environment and first-passage percolation on trees
- Phase transition for the once-reinforced random walk on \(\mathbb{Z}^{d}\)-like trees
- General random walk in a random environment defined on Galton-Watson trees
- Scaling limits for sub-ballistic biased random walks in random conductances
- Excited random walk on trees
- Excited random walk
- Random walks with strongly inhomogeneous rates and singular diffusions: Convergence, localization and aging in one dimension
- Critical random walk in random environment on trees
- On the speed of once-reinforced biased random walk on trees
- Monotonicity for excited random walk in high dimensions
- A probabilistic representation of constants in Kesten's renewal theorem
- Recurrence and transience of excited random walks on \(\mathbb Z^d\) and strips
- Central limit theorem for the excited random walk in dimension \(d\geq 2\)
- Excited random walk against a wall
- On the transience of processes defined on Galton-Watson trees
- Multi-excited random walks on integers
- Probability on Trees and Networks
- Reinforced random walk
