# GPP- members

## Academic staff (5)

### Tom Claeys

random matrix theory, integrable systems
Matrices aléatoires; Déterminants de Hankel, Toeplitz et Fredholm; Systèmes intégrables; Polynômes orthogonaux

random matrix theory, integrable systems
Matrices aléatoires; Déterminants de Hankel, Toeplitz et Fredholm; Systèmes intégrables; Polynômes orthogonaux

### Christian Hagendorf

Research interests: Exactly-solvable models in statistical mechanics, integrability and combinatorics.

Research interests: Exactly-solvable models in statistical mechanics, integrability and combinatorics.

### Luc Haine

I work in soliton theory and conformal field theory. My main results and research interests concern
- the Kovalevskaya-Painlevé property for integrable systems,
- equations defining abelian varieties and toric varieties,
- tau-functions and representations of the Virasoro and W-algebras.

I work in soliton theory and conformal field theory. My main results and research interests concern
- the Kovalevskaya-Painlevé property for integrable syste...

### Philippe Ruelle

Statistical field theory

Statistical field theory

## Postdocs (2)

### Alexandre Lazarescu

I am a post-doctoral researcher in the field of non-equilibrium
statistical physics, specialised in large deviation theory and
interacting particle models. I completed my PhD in 2013 at the
Institut de Physique Théorique (CEA Saclay), where I worked on the
large deviations of the Asymmetric Simple Exclusion Process (ASEP). I
then worked as a postdoc at the Instituut voor Theoretische Fysica (KU
Leuven) and the University of Luxembourg, and at the Centre de
Physique Théorique in Ecole Polytechnique, before coming to the GPP
group at IRMP. My topics of interests include large deviations and
hydrodynamic limits of interacting particle systems far from
equilibrium, exactly solvable models and their combinatorial
structure, quantum integrability methods (as applied to exactly
solvable driven interacting particle systems, such as the ASEP), and
more general properties of rare events in non-equilibrium statistical
models.

I am a post-doctoral researcher in the field of non-equilibrium
statistical physics, specialised in large deviation theory and
interacting particle models. I...

## PhD students (5)

### Sandrine Brasseur

The goal of my research is to contribute to the rigorous analysis of elliptic two-dimensional integrable models along their combinatorial line. Over the years, these statistical mechanics models have been shown to exhibit rich
analytic and algebraic structures, as well as surprising links to combinatorics. Yet, to this day, many of their aspects remain either conjectural or plainly unexplored. I focus my study on the eight-vertex model and related systems such as the 8VSOS model and the XYZ spin chain, as well as their higher-spin generalisations. One of my central aims is to address conjectures and open questions about the ground state of the XYZ spin chain along its combinatorial line for various boundary conditions. I am also interested in obtaining exact finite-size expressions for some interesting physical quantities. Ultimately, the analysis of their scaling limits for large systems will lead me to establish links with quantum field theory models in the continuum.

The goal of my research is to contribute to the rigorous analysis of elliptic two-dimensional integrable models along their combinatorial line. Over the years,...

### Bryan Debin

Spatial phase transitions (Arctic curves) in two-dimensional statistical models on a lattice, such as the six-vertex model or the dimer model.

Spatial phase transitions (Arctic curves) in two-dimensional statistical models on a lattice, such as the six-vertex model or the dimer model.

### Gabriel Glesner

Orthogonal and circular ensembles in Random Matrix Theory, Asymptotic analysis of Toeplitz determinants and applications to physics

Orthogonal and circular ensembles in Random Matrix Theory, Asymptotic analysis of Toeplitz determinants and applications to physics

### Gilles Parez

J’étudie l’intrication quantique dans des systèmes à N corps quantiques. En particuliers, je me concentre sur des systèmes dits « intégrables », pour lesquels des calculs exacts sont possibles.
I study entanglement in N body quantum systems. I focus on so-called integrable systems, whose mathematical structures allow one to perform exact calculations.

J’étudie l’intrication quantique dans des systèmes à N corps quantiques. En particuliers, je me concentre sur des systèmes dits « intégrables », pour lesquels d...

## Visitors (1)

## Administrative staff (2)

## Guests (1)

### Jean-Pierre Antoine

mathematical physics : coherent states, wavelet analysis, partial inner product spaces (see GPP website)

mathematical physics : coherent states, wavelet analysis, partial inner product spaces (see GPP website)