4 papers · 1 filter
Entropy-controlled Last-Passage Percolation
Quentin Berger, Niccolo Torri
In the present article we consider a natural generalization of Hammersley's Last Passage Percolation (LPP) called Entropy-controlled Last Passage Percolation (E-LPP), where points…
Interacting partially directed self-avoiding walk: a probabilistic perspective
Philippe Carmona, Gia Bao Nguyen, Nicolas Pétrélis +1
We review some recent results obtained in the framework of the 2-dimensional Interacting Self-Avoiding Walk (ISAW). After a brief presentation of the rigorous results that have bee…
Beyond Hammersley's Last-Passage Percolation: a discussion on possible local and global constraints
Quentin Berger, Niccolo Torri
Hammersley's Last-Passage Percolation (LPP), also known as Ulam's problem, is a well-studied model that can be described as follows: consider points chosen uniformly and indepe…
Directed polymers in heavy-tail random environment
Quentin Berger, Niccolo Torri
We study the directed polymer model in dimension when the environment is heavy-tailed, with a decay exponent . We give all possible scaling limits of the model i…