Surface transition in the collapsed phase of a self-interacting walk adsorbed along a hard wall
From MaRDI portal
Publication:2139107
DOI10.1214/22-AOP1567zbMath1504.60193arXiv2007.11313OpenAlexW3044385577MaRDI QIDQ2139107
Alexandre Legrand, Nicolas Pétrélis
Publication date: 17 May 2022
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.11313
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Interacting partially directed self avoiding walk. From phase transition to the geometry of the collapsed phase
- A variational formula for the free energy of the partially directed polymer collapse
- An invariance principle for random walk bridges conditioned to stay positive
- Disorder and critical phenomena through basic probability models. École d'Été de Probabilités de Saint-Flour XL -- 2010.
- Brownian excursion area, wright's constants in graph enumeration, and other Brownian areas
- Random polymers.
- A refinement of the coupling method in renewal theory
- On a functional central limit theorem for random walks conditioned to stay positive
- Weak convergence to Brownian meander and Brownian excursion
- Universality of critical behaviour in a class of recurrent random walks
- Fluctuations of shapes of large areas under paths of random walks
- An invariance principle to Ferrari-Spohn diffusions
- A sharp asymptotics of the partition function for the collapsed interacting partially directed self-avoiding walk
- Interacting partially directed self-avoiding walk: a probabilistic perspective
- Limit distributions for the Bernoulli meander
- Low-temperature interfaces: Prewetting, layering, faceting and Ferrari-Spohn diffusions
- Heavy-Tail Phenomena
