Index   Some numerical simulations   

Publications

• (With A. Mijatovic & A. Pilipenko) Functional central limit theorem for superdiffusive SDEs with stable noise
[ArXiv] (2026, Minor revisions before publication in Bernoulli Journal)

• Renormalised Amperean area of Brownian motions and Symanzik representation of the 2D abelian Yang-Mills-Higgs field
[ArXiv] (2024, Minor revisions before publication in Annals of Probability)

•Brownian windings, Stochastic Green's formula and inhomogeneous magnetic impurities.
[ArXiv] [Published version] (2026, Electronic Journal of Probability)

• (with A. Mijatovic & A. Wade): Central limit theorem for superdiffusive reflected Brownian motion.
[ArXiv] [Published version] (2026, Annals of Applied Probability)

• (with P. Perruchaud): Loop soup representation of zeta-regularised determinants and equivariant Symanzik identities.
[ArXiv][Published version] (2024, Annals of probability)

• Homotopy and holonomy of the planar Brownian motion in a Poisson punctured plane.
[ArXiv][Published version] (2024, Communications in Mathematical Physics)

•(with J. Forkel): Convergence of the logarithm of the characteristic polynomial of unitary Brownian motion in Sobolev space.
[ArXiv] [Published version] (2024, Journal of Physics A: Mathematical and Theoretical)

•Planar Brownian motion winds evenly along its trajectory.
[ArXiv] [Published version] (2023, ALEA)

•Lévy area without approximation.
[ArXiv] [Published version] (2022, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques)


Preprints

• (With N. Berestycki) Brownian paths as loop-decorated SLEs,
[ArXiv] (2026)

•Integration and stochastic integration in Gaussian multiplicative chaos.
[ArXiv] (2021)

•Winding and intersection of Brownian motions.
[ArXiv] (2021)