2 citations · 3 across the 9 of their papers we have counts for
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Random interlacements on transient weighted graphs: 0-1 laws and FKG inequality
Orphée Collin
We study some properties of the random interlacement model on a transient weighted graph, which was introduced by A. Teixeira in ["Interlacement percolation on transient weighted g…
Further results on the free energy of the random field Ising chain in the case of centered disorder
Orphée Collin
We study the expansion of the limiting free energy density of the random field Ising chain with centered IID disorder and homogeneous coupling parameter, when the latter goes to in…
On the Lyapunov exponent for the random field Ising transfer matrix, in the critical case
Orphée Collin, Giambattista Giacomin, Rafael L. Greenblatt +1
We study the top Lyapunov exponent of a product of random matrices appearing in the analysis of several statistical mechanical models with disorder, extending a previo…
On the shape of the connected components of the complement of two-dimensional Brownian random interlacements
Orphée Collin, Serguei Popov
We study the limiting shape of the connected components of the vacant set of two-dimensional Brownian random interlacements: we prove that the connected component around is clo…
On the large interaction asymptotics of the free energy density of the Ising chain with disordered centered external field
Orphée Collin
This article completes [G. Giacomin, R. Greenblatt, ALEA 2022] by identifying explicitly the leading coefficient in the asymptotic development of the free energy density of the cen…
The random field Ising chain domain-wall structure in the large interaction limit
Orphée Collin, Giambattista Giacomin, Yueyun Hu
We study the configurations of the nearest neighbor Ising ferromagnetic chain with IID centered and square integrable external random field in the limit in which the pairwise inter…
Rate of escape of the conditioned two-dimensional simple random walk
Orphée Collin, Serguei Popov
We prove sharp asymptotic estimates for the rate of escape of the two-dimensional simple random walk conditioned to avoid a fixed finite set. We derive it from asymptotics availabl…
Infinite disorder renormalization fixed point for the continuum random field Ising chain
Orphée Collin, Giambattista Giacomin, Yueyun Hu
We consider the continuum version of the random field Ising model in one dimension: this model arises naturally as weak disorder scaling limit of the original Ising model. Like for…
Two-dimensional random interlacements: 0-1 law and the vacant set at criticality
Orphée Collin, Serguei Popov
We correct and streamline the proof of the fact that, at the critical point , the vacant set of the two-dimensional random interlacements is infinite (Comets, Popov, 2017). Al…
The free energy of a box-version of the interacting Bose gas
Orphée Collin, Benedikt Jahnel, Wolfgang König
The interacting quantum Bose gas is a random ensemble of many Brownian bridges (cycles) of various lengths with interactions between any pair of legs of the cycles. It is one of th…
Rate of escape of conditioned Brownian motion
Orphée Collin, Francis Comets
We study the norm of the two-dimensional Brownian motion conditioned to stay outside the unit disk at all times. By conditioning the process is changed from barely recurrent to sli…