Research

Research interests

My research focuses on finding dimension-independent algebraic structures for probabilistic problems, mostly inherited from statistical mechanics models. Here are some keywords related to my interests:

Statistical mechanics
Field theory, discrete and continuous Gaussian free fields
Algebraic methods for Markov fields (operadic decomposition of invariant boundary conditions)
Toeplitz analysis and Fredholm determinants
Rough paths

Publications and preprints

Operadic structure of boundary conditions for two-dimensional Markovian Gaussian random fields, with Damien Simon, Submitted, arXiv
One-dimensional discrete Gaussian Markov processes: Harmonic decomposition of invariant boundary conditions, To appear in Séminaire de probabilités, arXiv