Random nearest neighbor graphs: the translation invariant case
From MaRDI portal
Publication:6157384
DOI10.1214/22-aihp1273arXiv2006.16347OpenAlexW3038202574MaRDI QIDQ6157384
Michael Damron, Bounghun Bock, Jack Hanson
Publication date: 21 June 2023
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.16347
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Dynamical systems and their relations with probability theory and stochastic processes (37A50)
Cites Work
- Unnamed Item
- Unnamed Item
- Geodesics in first passage percolation
- Topological and metric properties of infinite clusters in stationary two- dimensional site percolation
- Infinite clusters in dependent automorphism invariant percolation on trees
- Geodesics and recurrence of random walks in disordered systems
- A zero-one law for planar random walks in random environment
- Absence of backward infinite paths for first-passage percolation in arbitrary dimension
- Existence and percolation results for stopped germ-grain models with unbounded velocities
- Stationary coalescing walks on the lattice
- Busemann functions and infinite geodesics in two-dimensional first-passage percolation
- The size of components in continuum nearest-neighbor graphs
- Probability on Trees and Networks
- The random bipartite nearest neighbor graphs
- Nearest neighbor and hard sphere models in continuum percolation
- On the absence of percolation in a line-segment based lilypond model