CRM-CNRS International Research Laboratory

output

20152022

most citedEntanglement of inhomogeneous free fermions on hyperplane lattices

18 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

13 papers

math.GT2022★ 3 cited

Random walk speed is a proper function on Teichmüller space

Aitor Azemar, Vaibhav Gadre, Sébastien Gouëzel +3

Consider a closed surface $M$ with negative Euler characteristic, and an admissible probability measure on the fundamental group of $M$ with finite first moment. Corresponding to e…

math.CO2022★ 8 cited

Bivariate $P$ -polynomial association schemes

P. -A. Bernard, N. Crampe, L. Poulain d'Andecy +2

Bivariate P-polynomial association scheme of type $(α, β)$ are defined as a generalization of the P-polynomial association schemes. This generalization is shown to be equivalent to…

math.NT2022

The distribution of large quadratic character sums and applications

Youness Lamzouri

In this paper, we investigate the distribution of the maximum of character sums over the family of primitive quadratic characters attached to fundamental discriminants $∣ d ∣ \leq x$ .…

math.RT2022★ 4 cited

Askey-Wilson braid algebra and centralizer of $U_{q} (sl_{2})$

Nicolas Crampe, Loic Poulain d'Andecy, Luc Vinet +1

A presentation of the centralizer of the three-fold tensor product of the spin $s$ representation of the quantum group $U_{q} (sl_{2})$ is provided. It is expressed as a quot…

math.CO2022

A description of the Zeta map on Dyck paths area sequences

Viviane Pons

We give a description of the well known Zeta map on Dyck paths which sends the dinv,area statistics to the area,bounce statistics. Our description uses Dyck paths area sequences an…

cond-mat.stat-mech2022★ 18 cited

Entanglement of inhomogeneous free fermions on hyperplane lattices

Pierre-Antoine Bernard, Nicolas Crampé, Rafael I. Nepomechie +3

We introduce an inhomogeneous model of free fermions on a $(D - 1)$ -dimensional lattice with $D (D - 1) /2$ continuous parameters that control the hopping strength between adjacent sites…

math.NT2021

Discrepancies in the distribution of Gaussian primes

Lucile Devin

Motivated by questions of Fouvry and Rudnick on the distribution of Gaussian primes, we develop a very general setting in which one can study inequities in the distribution of anal…

math.MG2020

Minimal area of Finsler disks with minimizing geodesics

Marcos Cossarini, Stéphane Sabourau

We show that the Holmes--Thompson area of every Finsler disk of radius $r$ whose interior geodesics are length-minimizing is at least $\frac{6}{π} r^{2}$ . Furthermore, we construct exa…

math.CO2016★ 2 cited

Local convergence and stability of tight bridge-addable graph classes

Guillaume Chapuy, Guillem Perarnau

A class of graphs is bridge-addable if given a graph $G$ in the class, any graph obtained by adding an edge between two connected components of $G$ is also in the class. The author…

math.PR2016★ 8 cited

On tessellations of random maps and the $t_{g}$ -recurrence

Guillaume Chapuy

We study the masses of the two cells in a Voronoï tessellation of the Brownian surface of genus $g \geq 0$ centered on two uniform random points. Making use of classical bijections…

math.DS2015★ 16 cited

Extremality and dynamically defined measures, part II: Measures from conformal dynamical systems

Tushar Das, Lior Fishman, David Simmons +1

We present a new method of proving the Diophantine extremality of various dynamically defined measures, vastly expanding the class of measures known to be extremal. This generalize…

math.CO2015★ 7 cited

Laplacian matrices and spanning trees of tree graphs

Philippe Biane, Guillaume Chapuy

If $G$ is a strongly connected finite directed graph, the set $T G$ of rooted directed spanning trees of $G$ is naturally equipped with a structure of directed graph: ther…

math.CO2015★ 6 cited

Connectivity in bridge-addable graph classes: the McDiarmid-Steger-Welsh conjecture