CV   PhD thesis   Some numerical simulations    Teaching     Papers   

Picture of Brownian windings, showing their fractal structure. Orange: large positive winding. Purple: large negative winding. Ground color: vanishing winding.		Selected papers: • Renormalised Amperean area of Brownian motions and Symanzik representation of the 2D abelian Yang-Mills-Higgs field ArXiv (2024) • (with P. Perruchaud): Loop soup representation of zeta-regularised determinants and equivariant Symanzik identities. ArXiv (2024) (to appear in Annals of probability) •Lévy area without approximation. published version (2022, Annales de l'Institut Henri Poincar , Probabilit s et Statistiques) ArXiv version (2021)       On the general theory of Brownian windings: •Brownian windings, Stochastic Green's formula and inhomogeneous magnetic impurities. ArXiv (2023) •Planar Brownian motion winds evenly along its trajectory. published version (2023, ALEA) ArXiv (2021) •Winding and intersection of Brownian motions. ArXiv (2021)       Specific models related to Brownian windings: •Integration and stochastic integration in Gaussian multiplicative chaos. ArXiv (2021) • Homotopy and holonomy of the planar Brownian motion in a Poisson punctured plane. published version (2024, Communications in Mathematical Physics) ArXiv (2021)
		Other: •(with J. Forkel): Convergence of the logarithm of the characteristic polynomial of unitary Brownian motion in Sobolev space. published version (2024, Journal of Physics A: Mathematical and Theoretical) ArXiv (2022) • (with A. Mijatovic and A. Wade): Central limit theorem for superdiffusive reflected Brownian motion. ArXiv (2024)