Annealed vs quenched critical points for a random walk pinning model
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Publication:985328
DOI10.1214/09-AIHP319zbMath1206.60087arXiv0807.2752OpenAlexW2082370787MaRDI QIDQ985328
Rongfeng Sun, Matthias Birkner
Publication date: 21 July 2010
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/0807.2752
random walkscollision local timedisordered systempinning modelsannealed and quenched critical points
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)
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Cites Work
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- Annealed asymptotics for the parabolic Anderson model with a moving catalyst
- Directed polymers in random environment are diffusive at weak disorder
- Copolymers at selective interfaces: New bounds on the phase diagram
- A quenched limit theorem for the local time of random walks on \(\mathbb Z^2\)
- Coarse graining, fractional moments and the critical slope of random copolymers
- Quenched and annealed critical points in polymer pinning models
- A variational characterization of the speed of a one-dimensional self- repellent random walk
- A condition for weak disorder for directed polymers in random environment
- Phase transitions for the long-time behavior of interacting diffusions
- Marginal relevance of disorder for pinning models
- Fractional moment bounds and disorder relevance for pinning models
