24 citations · 50 across the 11 of their papers we have counts for
14 papers · 1 filter
Non-directed polymers in random environments with range penalties: the high dimensional case
Niccolo Torri, Ran Wei
We study a non-directed polymer model in random environments. The polymer is modeled by a simple symmetric random walk on with , and the random environme…
Hydrodynamic limit of the Schelling model with spontaneous Glauber and Kawasaki dynamics
Florent Barret, Niccolo Torri
In the present article we consider the Schelling model, an agent-based model describing a segregation dynamics when we have a cohabitation of two social groups. As for several soci…
Prudent walk in dimension six and higher
Markus Heydenreich, Lorenzo Taggi, Niccolo Torri
We study the high-dimensional uniform prudent self-avoiding walk, which assigns equal probability to all nearest-neighbor self-avoiding paths of a fixed length that respect the pru…
Scaling limits of tree-valued branching random walks
Thomas Duquesne, Robin Khanfir, Shen Lin +1
We consider a branching random walk (BRW) taking its values in the -ary rooted tree (i.e. the set of finite words written in the alphabet $\{…
Non-directed polymers in heavy-tail random environment in dimension
Quentin Berger, Niccolò Torri, Ran Wei
In this article we study a \emph{non-directed} polymer model in dimension : we consider a simple symmetric random walk on which interacts with a random envir…
One-dimensional polymers in random environments: stretching vs. folding
Quentin Berger, Chien-Hao Huang, Niccolo Torri +1
In this article we study a \emph{non-directed polymer model} on , that is a one-dimensional simple random walk placed in a random environment. More precisely, the law of…
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…
Scaling limit of the uniform prudent walk
Nicolas Pétrélis, Rongfeng Sun, Niccolò Torri
We study the 2-dimensional uniform prudent self-avoiding walk, which assigns equal probability to all nearest-neighbor self-avoiding paths of a fixed length that respect the pruden…
Collapse transition of the interacting prudent walk
Nicolas Pétrélis, Niccolo Torri
This article is dedicated to the study of the 2-dimensional interacting prudent self-avoiding walk (referred to by the acronym IPSAW) and in particular to its collapse transition.…
Universality for the pinning model in the weak coupling regime
Francesco Caravenna, Fabio Lucio Toninelli, Niccolo Torri
We consider disordered pinning models, when the return time distribution of the underlying renewal process has a polynomial tail with exponent . This corresponds to a…
Pinning Model with Heavy Tailed Disorder
Niccolo Torri
We study the so-called pinning model, which describes the behavior of a Markov chain interacting with a distinguished state. The interaction depends on an external source of random…