### Publications and preprints:

**The reconstruction theorem in Besov spaces**

M. Hairer and C. Labbé

J. Funct. Anal., 273(8):2578--2618, (2017).

[arXiv]**Regularization by noise for stochastic Hamilton-Jacobi equations**

P. Gassiat and B. Gess

Probab. Theory Related Fields (2019) 173: 1063.

[arXiv]**A stochastic Hamilton-Jacobi equation with infinite speed of propagation**

P. Gassiat

C. R. Acad. Sci. Paris, Ser. I 355 (2017) 296-298.

[arXiv]**Diffusive limit for 3-dimensional KPZ equation: the Cole-Hopf case**

J. Magnen and J. Unterberger

To appear in J. Stat. Phys. (2019).

[arXiv]**A regularity structure for rough volatility**

C. Bayer and P. Friz and P. Gassiat and J. Martin and B. Stemper

submitted.

[arXiv]**Path-by-path regularization by noise for scalar conservation laws**

K. Chouk and B. Gess

submitted.

[arXiv]**Existence of densities for the dynamics Phi^4_3 model**

P. Gassiat and C. Labbé

submitted.

[arXiv]**Localization of the continuous Anderson Hamiltonian in 1-d**

L. Dumaz and C. Labbé

submitted.

[arXiv]**Global fluctuations for 1D log-gas dynamics. (2) Covariance kernel and support**

J. Unterberger

submitted.

[arXiv]**Exact dynamics of a one dimensional Bose gas in a periodic time-dependent harmonic trap**

S. Scopa and J. Unterberger and D. Karevski

submitted.

[arXiv]**Non-explosion criteria for rough differential equations driven by unbounded vector fields**

I. Bailleul and R. Catellier

submitted.

[arXiv]**Mean field rough differential equations**

I. Bailleul and R. Catellier and F. Delarue

submitted.

[arXiv]**The continuous Anderson hamiltonian in dimension at most 3**

C. Labbé

submitted.

[arXiv]**Speed of propagation for Hamilton-Jacobi equations with multiplicative rough time dependence and convex Hamiltonians**

P. Gassiat and B. Gess and P.L. Lions and P. Souganidis

submitted.

[arXiv]**Precise asymptotics: robust stochastic volatility models**

P. Friz and P. Gassiat and P. Pigato

submitted.

[arXiv]**On the martingale property in the rough Bergomi model**

P. Gassiat

submitted.

[arXiv]**Paracontrolled calculus and regularity structures (1)**

I. Bailleul and M. Hoshino

submitted.

[arXiv]**A mathematical derivation of zero-temperature 2D superconductivity from microscopic Bardeen-Cooper-Schrieffer model**

J. Magnen and J. Unterberger

submitted.

[arXiv]**Mixing time and cutoff for the weakly asymmetric simple exclusion process**

C. Labbe and H. Lacoin

submitted.

[arXiv]**A free boundary characterisation of the Root barrier for Markov processes**

P. Gassiat and H. Oberhauser and Ch. Z. Zou

submitted.

[arXiv]**Mixing time of the adjacent walk on the simplex**

P. Caputo and C. Labbe and H. Lacoin

submitted.

[arXiv]**Young and rough differential inclusions**

I. Bailleul and A. Brault and L. Coutin

submitted.

[arXiv]**Kinetic Brownian motion on the diffeomorphism group of a closed Riemannian manifold**

J. Angst and I. Bailleul and P. Perruchaud

submitted.

[arXiv]**Asymptotics of the eigenvalues of the Anderson Hamiltonian with white noise potential in two dimensions**

K. Chouk and W. van Zuijlen

submitted.

[arXiv]**Paracontrolled calculus and regularity structures (2)**

I. Bailleul and M. Hoshino

submitted.

[arXiv]**Paracontrolled calculus for quasilinear singular PDEs**

I. Bailleul and A. Mouzard

submitted.

[arXiv]**The stochastic Airy operator at large temperature**

L. Dumaz and C. Labbe

submitted.

[arXiv]**Non-uniqueness for reflected rough differential equations**

P. Gassiat

submitted.

[arXiv]**Phase transitions in optimal strategies for gambling**

L. Dinis and J. Unterberger and D. Lacoste

submitted.

[arXiv]**A tourist's guide to regularity structures and singular stochastic PDEs**

I. Bailleul and M. Hoshino

submitted.

[arXiv]**A spectral gap and cutoff phenomenon for the Gibbs sampler of grad(Phi) interfaces with convex potential**

P. Caputo and C. Labbe and P. Lacoin

submitted.

[arXiv]**Short dated smile under Rough Volatility : asymptotic and numerics**

P. Friz and P. Gassiat and P. Pigato

submitted.

[arXiv]**Renormalising singular stochastic PDEs without extended decorations**

I. Bailleul and Y. Bruned

submitted.

[arXiv]**The SchTau operator and the delocalized phase of the Anderson Hamiltonian in 1-d**

L. Dumaz and C. Labbe

submitted.

[arXiv]**The delocalized phase of the Anderson Hamiltonian in 1-d**

L. Dumaz and C. Labbe

submitted.

[arXiv]**Localization crossover for the continuous Anderson Hamiltonian in 1-d**

L. Dumaz and C. Labbe

submitted.

[arXiv]**Parametrization of renormalized models for singular stochastic PDEs**

I. Bailleul and Y. Bruned

submitted.

[arXiv]**Universal cutoff for Dyson Ornstein Uhlenbeck process**

J. Boursier and D. Chafai and C. Labbe

submitted.

[arXiv]**Asymptotic of the smallest eigenvalues of the continuous Anderson Hamiltonian in dē3**

Y.-S. Hsu and C. Labbe

submitted.

[arXiv]**Locality for singular stochastic PDEs**

I. Bailleul and Y. Bruned

submitted.

[arXiv]**The Neumann problem for fully nonlinear SPDE**

P. Gassiat and B. Seeger

submitted.

[arXiv]**Stoechiometric and dynamical autocatalysis for diluted chemical reaction networks**

J. Unterberger and Ph. Nghe

submitted.

[arXiv]**Exact computation of growth-rate fluctuations in random environment**

J. Unterberger

submitted.

[arXiv]**Analysis of the Anderson operator**

I. Bailleul and V.N. Dang and A. Mouzard

submitted.

[arXiv]**Variational methods for some singular stochastic elliptic PDEs**

I. Bailleul and H. Eulry and T. Robert

submitted.

[arXiv]