# 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

I am interested in exactly-solvable models in statistical mechanics, integrability and combinatorics.

I am interested in 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 (6)

### Thibaut Grouy

On the one hand, in the continuation of my thesis, I intend to study orbital integrals on pseudo-Riemannian symmetric spaces and totally geodesic Radon transforms on Lorentzian symmetric spaces. First, I will focus on the asymptotic behaviour of orbital integrals on Cahen-Wallach spaces at their singularities. This could help me to determine the invariant eigendistributions in the realm of harmonic analysis. The aim is to compute the explicit Plancherel formula on these spaces when it is possible. Next, I will study the invertibility of totally geodesic Radon transforms.
On the other hand, I intend to study star-products through the prism of Radon-type transforms on symmetric spaces.

On the one hand, in the continuation of my thesis, I intend to study orbital integrals on pseudo-Riemannian symmetric spaces and totally geodesic Radon transfor...

**Office: **
B428

### 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...

**Office: **
B323

### Alexi Morin-Duchesne

My field of research is in statistical mechanics and quantum field theory. I am interested in classical and quantum integrable systems defined on a lattice, and in particular in models defined in terms of nonlocal degrees of freedom, or with Boltzmann weights that are complex: the XXZ spin chains, the dense and dilute loop models, the dimer model, the six-vertex model, etc. At criticality, these models are described by conformal field theories (CFT). I study their algebraic structures and their exact solutions, which are accessible thanks to the techniques of integrability. Because of the nonlocal degrees of freedom, these models are described by representations of the Virasoro algebra that are indecomposable yet reducible. Their correlation functions have logarithmic corrections to the usual power-law dependence, and their CFTs are said to be logarithmic. My current FNRS research project is “Algebraic structures and logarithmic correlation functions in integrable statistical models”.

My field of research is in statistical mechanics and quantum field theory. I am interested in classical and quantum integrable systems defined on a lattice, and...

## 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.

**Office: **
B323

**Email: ** bryan.debin@uclouvain.be

### 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

**Office: **
B322

**Email: ** gabriel.glesner@uclouvain.be

### Jean Liénardy

I work on statistical and mathematical physics. I am interested in Supersymmetric one-dimensional Quantum Spin chains, Integrability and Combinatorics.

I work on statistical and mathematical physics. I am interested in Supersymmetric one-dimensional Quantum Spin chains, Integrability and Combinatorics.

**Office: **
B324

**Email: ** jean.lienardy@uclouvain.be

### 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)

## 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)