2026

Phase Transition in Grand Canonical Φ23 Measure at Critical Chemical Potential

N. Barashkov; K. Seong; P. Sosoe 

Communications in Mathematical Physics. 2026. Vol. 407, num. 7, p. 147. DOI : 10.1007/s00220-026-05676-4.

Non-explosion principles for branched rough differential equations with unbounded coefficients

K. Ying 

2026

High Order Smoothness for Stochastic Navier-stokes Equations with Transport and Stretching Noise on Bounded Domains

D. Goodair 

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. 2026. Vol. 267. DOI : 10.1016/j.na.2025.114054.

Central limit theorem for the Allen-Cahn equation with supercritical random initial conditions

C. Piernot; K. Ying 

2026

Anisotropic Inviscid Limit for the Navier-Stokes Equations with Transport Noise Between Two Plates

D. Goodair 

2026

Large Deviations and Free Energy of Gibbs Measure for the Dynamical Φ3-Model in Infinite Volume

K. Seong; P. Sosoe 

International Mathematics Research Notices (IMRN). 2026. Vol. 2026, num. 5, p. rnag027. DOI : 10.1093/imrn/rnag027.

Navier-Stokes with a fractional transport noise as a limit of multi-scale dynamics

X-M. Li; S. Sobczak 

2026

Improved Blow-Up Criterion in a Variational Framework for Nonlinear SPDEs

D. Goodair 

2026. 5th Stochastic Transport in Upper Ocean Dynamics Annual Workshop, Rennes, France, 2024-09-23 – 2024-09-26. p. 51 – 66. DOI : 10.1007/978-3-032-12749-5_3.

2025

Fluctuations from a random fractional averaging limit

X-M. Li; C. Piernot; S. Sobczak; K. Ying 

2025

The zero viscosity limit of stochastic Navier–Stokes flows

D. Goodair; D. Crisan 

Stochastic Processes and their Applications. 2025. Vol. 189, p. 104717. DOI : 10.1016/j.spa.2025.104717.

Stochastic nonlinear wave equation with rougher than white noise

X-M. Li; X. Ren 

2025

A critical stochastic heat equation with long-range noise

A. Dunlap; M. Hairer; X-M. Li 

2025

Itô-Stratonovich Conversion in Infinite Dimensions for Unbounded, Time-Dependent, Nonlinear Operators

D. Goodair 

2025

Coarse Ricci Curvature of Weighted Riemannian Manifolds

M. Arnaudon; X-M. Li; B. Petko 

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. 2025. DOI : 10.1090/tran/9482.

Closed Estimates of Leray Projected Transport Noise and Strong Solutions of the Stochastic Euler Equations

D. Goodair 

2025

Coarse extrinsic curvature of Riemannian submanifolds

M. Arnaudon; X-M. Li; B. Petko 

European journal of mathematics. 2025. Vol. 11, num. 2. DOI : 10.1007/s40879-025-00816-x.

Infinite Boundary Friction Limit for Weak Solutions of the Stochastic Navier-Stokes Equations

D. Goodair 

2025

Fluctuations of stochastic PDEs with long-range correlations

L. Gerolla; M. Hairer; X-M. Li 

The Annals of Applied Probability. 2025. Vol. 35, num. 2. DOI : 10.1214/24-aap2140.

Navier-Stokes equations with Navier boundary conditions and stochastic Lie transport: Well-posedness and inviscid limit

D. Goodair 

Journal of Differential Equations. 2025. Vol. 429, p. 1 – 49. DOI : 10.1016/j.jde.2025.02.036.

Strong completeness of SDEs and non-explosion for RDEs with coefficients having unbounded derivatives

X-M. Li; K. Ying 

2025

2024

Weak and strong solutions to nonlinear SPDEs with unbounded noise

D. Goodair 

Nonlinear Differential Equations and Applications. 2024. Vol. 31, p. 106. DOI : 10.1007/s00030-024-00993-w.

General Solution Theory for the Stochastic Navier-Stokes Equations

D. Goodair 

2024. 4th Stochastic Transport in Upper Ocean Dynamics Annual Workshop, Plouzané, France, 2023-09-25 – 2023-09-28. p. 61 – 85. DOI : 10.1007/978-3-031-70660-8_4.

Scaling limit of the KPZ equation with non-integrable spatial correlations

L. Gerolla; M. Hairer; X-M. Li 

2024

An extension of the stochastic sewing lemma and applications to fractional stochastic calculus

T. Matsuda; N. Perkowski 

Forum Of Mathematics Sigma. 2024. Vol. 12, p. e52. DOI : 10.1017/fms.2024.32.

Stochastic Calculus in Infinite Dimensions and SPDEs

D. Goodair; D. Crisan 

Springer Science and Business Media B.V., 2024.

2023

On the (non)stationary density of fractional-driven stochastic differential equations

X-M. Li; F. Panloup; J. Sieber 

The Annals of Probability. 2023. Vol. 51, num. 6, p. 2056 – 2085. DOI : 10.1214/23-AOP1638.

Logarithmic heat kernel estimates without curvature restrictions

X. Chen; X-M. Li; B. Wu 

The Annals of Probability. 2023. Vol. 51, num. 2, p. 442 – 477. DOI : 10.1214/22-AOP1599.

Effective Diffusions with Intertwined Structures

X-M. Li 

Matemática Contemporânea. 2023. Vol. 58, p. 264 – 315. DOI : 10.21711/231766362023/rmc588.

2022

Statistics of Stochastic Differential Equations on Manifolds and Stratified Spaces

S. Huckemann; X-M. Li; Y. Pokern; A. Sturm 

Oberwolfach Reports. 2022. Vol. 18, num. 4, p. 2641 – 2663. DOI : 10.4171/owr/2021/48.

Slow-fast systems with fractional environment and dynamics

X-M. Li; J. Sieber 

The Annals of Applied Probability. 2022. Vol. 32, num. 5, p. 3964 – 4003. DOI : 10.1214/22-AAP1779.