Absence of geodesics in first-passage percolation of a half-plane
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Publication:1307084
DOI10.1214/aop/1022855423zbMath0937.60092OpenAlexW2076894050MaRDI QIDQ1307084
Publication date: 14 June 2000
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1022855423
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)
Related Items (11)
Uniqueness of translation-covariant zero-temperature metastate in disordered Ising ferromagnets ⋮ The two-type Richardson model in the half-plane ⋮ Busemann process and semi-infinite geodesics in Brownian last-passage percolation ⋮ On the number of ground states of the Edwards-Anderson spin glass model ⋮ Busemann functions and infinite geodesics in two-dimensional first-passage percolation ⋮ Non-existence of bi-infinite geodesics in the exponential corner growth model ⋮ Bigeodesics in first-passage percolation ⋮ Geodesics and the competition interface for the corner growth model ⋮ Limiting geodesics for first-passage percolation on subsets of \(\mathbb{Z}^{2}\) ⋮ On the number of infinite geodesics and ground states in disordered systems ⋮ Absence of backward infinite paths for first-passage percolation in arbitrary dimension
Cites Work
- On the speed of convergence in first-passage percolation
- Surfaces with minimal random weights and maximal flows: a higher dimensional version of first-passage percolation
- Percolation theory and first-passage percolation
- On the number of infinite geodesics and ground states in disordered systems
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