Centre de recherches mathématiques

output

19922022

most citedA "missing" family of classical orthogonal polynomials

1.6k 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

554 papers

math.GT2022

On the distribution of Alexander polynomials in certain families of closed braids

Anwesh Ray

We study the distribution of arithmetic invariants associated to Alexander polynomials for certain infinite families of links. The families of links we consider arise from braids o…

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…

quant-ph2022★ 13 cited

Multipartite information of free fermions on Hamming graphs

Gilles Parez, Pierre-Antoine Bernard, Nicolas Crampé +1

We investigate multipartite information and entanglement measures in the ground state of a free-fermion model defined on a Hamming graph. Using the known diagonalization of the adj…

cond-mat.supr-con2022★ 6 cited

Strain-induced superconductivity in Sr2IrO4

Lena Engström, Chia-Chuan Liu, William Witczak-Krempa +1

Multi-orbital quantum materials with strong interactions can host a variety of novel phases. In this work we study the possibility of interaction-driven superconductivity in the ir…

nlin.SI2022★ 10 cited

Hamiltonian structure of rational isomonodromic deformation systems

M. Bertola, J. Harnad, J. Hurtubise

The Hamiltonian approach to isomonodromic deformation systems is extended to include generic rational covariant derivative operators on the Riemann sphere with irregular singularit…

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.AP2022★ 2 cited

Sharp uniform bound for the quaternionic Monge-Ampere equation on hyperhermitian manifolds

Marcin Sroka

We provide the sharp $C^{0}$ estimate for the quaternionic Monge-Ampere equation on any hyperhermitian manifold. This improves previously known results concerning this estimate in tw…

math-ph2022★ 5 cited

Monodromy dependence and symplectic geometry of isomonodromic tau functions on the torus

Fabrizio Del Monte, Harini Desiraju, Pavlo Gavrylenko

We compute the monodromy dependence of the isomonodromic tau function on a torus with $n$ Fuchsian singularities and $S L (N)$ residue matrices by using its explicit Fredholm determi…

math-ph2022★ 2 cited

Recurrence relations and general solution of the exceptional Hermite equation

Alfred Michel Grundland, Danilo Latini, Ian Marquette

Exceptional orthogonal Hermite and Laguerre polynomials have been linked to the k-step extension of harmonic and singular oscillators. The exceptional polynomials allow the existen…

math.NT2022

Galois representations ramified at one prime and with suitably large image

Anwesh Ray

Let $p \geq 7$ be a prime and $n > 1$ be a natural number. We show that there exist infinitely many Galois representations $\varrho:Gal(\bar{\mathbb{Q}}/\mathbb{Q})\rightarrow GL_{n}(…

cond-mat.stat-mech2022★ 16 cited

Analytical results for the entanglement dynamics of disjoint blocks in the XY spin chain

Gilles Parez, Riccarda Bonsignori

The study of the dynamics of entanglement measures after a quench has become a very active area of research in the last two decades, motivated by the development of experimental te…

math-ph2022★ 29 cited

Partial degeneration of finite gap solutions to the Korteweg-de Vries equation: soliton gas and scattering on elliptic background

Marco Bertola, Robert Jenkins, Alexander Tovbis

We obtain Fredholm type formulas for partial degenerations of Theta functions on (irreducible) nodal curves of arbitrary genus, with emphasis on nodal curves of genus one. An appli…

math-ph2022★ 4 cited

Bethe ansatz diagonalization of the Heun-Racah operator

Pierre-Antoine Bernard, Gauvain Carcone, Nicolas Crampe +1

The Heun-Racah operator is diagonalized with the help of the modified algebraic Bethe ansatz. This operator is the most general bilinear expression in two generators of the Racah a…

math.CA2022

Para-Bannai-Ito Polynomials

Jonathan Pelletier, Luc Vinet, Alexei Zhedanov

New bispectral polynomials orthogonal on a Bannai-Ito bi-lattice (uniform quadri-lattice) are obtained from an unconventional truncation of the untruncated Bannai-Ito and complemen…

math.PR2022★ 2 cited

Moments of the negative multinomial distribution

Frédéric Ouimet

The negative multinomial distribution appears in many areas of applications such as polarimetric image processing and the analysis of longitudinal count data. In previous studies,…

math-ph2022★ 5 cited

Tau functions, infinite Grassmannians and lattice recurrences

S. Arthamonov, J. Harnad, J. Hurtubise

The addition formulae for KP $τ$ -functions, when evaluated at lattice points in the KP flow group orbits in the infinite dimensional Sato-Segal-Wilson Grassmannian, give infinite p…

math.NT2022★ 2 cited

A note on the distribution of Iwasawa invariants of imaginary quadratic fields

Anwesh Ray

Given an odd prime number $p$ and an imaginary quadratic field $K$ , we establish a relationship between the $p$ -rank of the class group of $K$ , and the classical $λ$ -invariant of t…

math.NT2022

On large Iwasawa $λ$ -invariants of imaginary quadratic function fields

Anwesh Ray

Let $ℓ$ be a prime number and $q$ be a power of $ℓ$ . Given an odd prime number $p$ and an imaginary quadratic extension $F$ of the rational function field $F_{q} (T)$ ,…

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…

math.NT2022

Remarks on Catalan's equation over function fields

Anwesh Ray

Let $ℓ$ be a prime number, $F$ be a global function field of characteristic $ℓ$ . Assume that there is a prime $P_{\infty}$ of degree $1$ . Let $O_{F}$ be the ring of fun…

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…

cond-mat.str-el2022★ 24 cited

Emergent tracer dynamics in constrained quantum systems

Johannes Feldmeier, William Witczak-Krempa, Michael Knap

We show how the tracer motion of tagged, distinguishable particles can effectively describe transport in various homogeneous quantum many-body systems with constraints. We consider…

cond-mat.stat-mech2022★ 2 cited

An Algorithmic Approach to Emergence

Charles Alexandre Bédard, Geoffroy Bergeron

We suggest a quantitative and objective notion of emergence. Our proposal uses algorithmic information theory as a basis for an objective framework in which a bit string encodes ob…

On the distribution of Alexander polynomials in certain families of closed braids

Bivariate P-polynomial association schemes

Multipartite information of free fermions on Hamming graphs

Strain-induced superconductivity in Sr2IrO4

Hamiltonian structure of rational isomonodromic deformation systems

The distribution of large quadratic character sums and applications

Sharp uniform bound for the quaternionic Monge-Ampere equation on hyperhermitian manifolds

Monodromy dependence and symplectic geometry of isomonodromic tau functions on the torus

Recurrence relations and general solution of the exceptional Hermite equation

Galois representations ramified at one prime and with suitably large image

Analytical results for the entanglement dynamics of disjoint blocks in the XY spin chain

Partial degeneration of finite gap solutions to the Korteweg-de Vries equation: soliton gas and scattering on elliptic background

Bethe ansatz diagonalization of the Heun-Racah operator

Para-Bannai-Ito Polynomials

Moments of the negative multinomial distribution

Tau functions, infinite Grassmannians and lattice recurrences

A note on the distribution of Iwasawa invariants of imaginary quadratic fields

On large Iwasawa λ-invariants of imaginary quadratic function fields

Askey-Wilson braid algebra and centralizer of Uq​(sl2​)

A description of the Zeta map on Dyck paths area sequences

Remarks on Catalan's equation over function fields

Entanglement of inhomogeneous free fermions on hyperplane lattices

Emergent tracer dynamics in constrained quantum systems

An Algorithmic Approach to Emergence

Bivariate $P$ -polynomial association schemes

On large Iwasawa $λ$ -invariants of imaginary quadratic function fields

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