Decay of correlations in stochastic quantization: the exponential Euclidean field in two dimensions Massimiliano GubinelliMartina HofmanováNimit Rana OriginalPaper Open access 07 May 2024
A weighted \(L_q(L_p)\)-theory for fully degenerate second-order evolution equations with unbounded time-measurable coefficients Ildoo Kim OriginalPaper 29 April 2024
\(L_p\)-solvability and Hölder regularity for stochastic time fractional Burgers’ equations driven by multiplicative space-time white noise Beom-Seok Han OriginalPaper 27 April 2024
Temporal fractal nature of linearized Kuramoto–Sivashinsky SPDEs and their gradient in one-to-three dimensions Wensheng WangLu Yuan OriginalPaper 21 March 2024
Weak error analysis for a nonlinear SPDE approximation of the Dean–Kawasaki equation Ana DjurdjevacHelena KrempNicolas Perkowski OriginalPaper Open access 15 March 2024
Convergence of stratified MCMC sampling of non-reversible dynamics Gabriel EarleJonathan C. Mattingly OriginalPaper 01 March 2024
Regularity of random elliptic operators with degenerate coefficients and applications to stochastic homogenization Peter BellaMichael Kniely OriginalPaper Open access 27 February 2024
Weak error analysis for the stochastic Allen–Cahn equation Dominic BreitAndreas Prohl OriginalPaper Open access 22 February 2024
Higher order homogenization for random non-autonomous parabolic operators Marina KleptsynaAndrey PiatnitskiAlexandre Popier OriginalPaper 13 February 2024
Importance sampling for stochastic reaction–diffusion equations in the moderate deviation regime Ioannis GasteratosMichael SalinsKonstantinos Spiliopoulos OriginalPaper Open access 08 December 2023
Hitting properties of generalized fractional kinetic equation with time-fractional noise Derui ShengTau Zhou OriginalPaper 08 December 2023
Delayed blow-up and enhanced diffusion by transport noise for systems of reaction–diffusion equations Antonio Agresti OriginalPaper Open access 28 November 2023
Sticky nonlinear SDEs and convergence of McKean–Vlasov equations without confinement Alain DurmusAndreas EberleKatharina Schuh OriginalPaper Open access 06 November 2023
Global existence and non-uniqueness for the Cauchy problem associated to 3D Navier–Stokes equations perturbed by transport noise Umberto Pappalettera OriginalPaper Open access 30 October 2023
Regularity theory for a new class of fractional parabolic stochastic evolution equations Kristin KirchnerJoshua Willems OriginalPaper Open access 30 October 2023
Norm inflation for a non-linear heat equation with gaussian initial conditions Ilya Chevyrev OriginalPaper Open access 15 October 2023
Local strong solutions to the stochastic third grade fluid equations with Navier boundary conditions Yassine TahraouiFernanda Cipriano OriginalPaper 09 October 2023
On partially observed jump diffusions II: the filtering density Alexander DavieFabian GermIstván Gyöngy OriginalPaper Open access 03 October 2023
Multilevel Monte Carlo FEM for elliptic PDEs with Besov random tree priors Christoph SchwabAndreas Stein OriginalPaper Open access 30 September 2023
Parabolic stochastic PDEs on bounded domains with rough initial conditions: moment and correlation bounds David CandilLe ChenCheuk Yin Lee OriginalPaper 29 September 2023
A support theorem for parabolic stochastic PDEs with nondegenerate Hölder diffusion coefficients Yi Han OriginalPaper Open access 27 September 2023
An \(L_q(L_p)\)-theory for space-time non-local equations generated by Lévy processes with low intensity of small jumps Jaehoon KangDaehan Park OriginalPaper 25 August 2023
On the wellposedness of periodic nonlinear Schrödinger equations with white noise dispersion Gavin Stewart OriginalPaper 08 August 2023
Absolute continuity of the solution to stochastic generalized Burgers–Huxley equation Ankit KumarManil T. Mohan OriginalPaper 31 July 2023
Asymptotic stability of evolution systems of probability measures of stochastic discrete modified Swift–Hohenberg equations Fengling WangTomás CaraballoRenhai Wang OriginalPaper 25 July 2023 Pages: 1374 - 1415
Moderate deviations for fully coupled multiscale weakly interacting particle systems Z. W. BezemekK. Spiliopoulos OriginalPaper 10 July 2023 Pages: 1265 - 1373
Existence and uniqueness of maximal solutions to SPDEs with applications to viscous fluid equations Daniel GoodairDan CrisanOana Lang OriginalPaper Open access 06 July 2023 Pages: 1201 - 1264
Central limit theorems for nonlinear stochastic wave equations in dimension three Masahisa Ebina OriginalPaper 01 July 2023 Pages: 1141 - 1200
Path continuity of Markov processes and locality of Kolmogorov operators Lucian BezneaIulian CîmpeanMichael Röckner OriginalPaper 29 June 2023 Pages: 1100 - 1140
Inviscid limit for stochastic second-grade fluid equations Eliseo Luongo OriginalPaper 29 June 2023 Pages: 1046 - 1099
Statistical solutions for the Navier–Stokes–Fourier system Eduard FeireislMária Lukáčová-Medvid’ová OriginalPaper 21 June 2023 Pages: 1021 - 1045
Hypocoercivity for non-linear infinite-dimensional degenerate stochastic differential equations Benedikt EisenhuthMartin Grothaus OriginalPaper Open access 10 June 2023 Pages: 984 - 1020
Strong Feller semigroups and Markov processes: a counterexample Lucian BezneaIulian CîmpeanMichael Röckner OriginalPaper 07 June 2023 Pages: 968 - 983
Renormalization of stochastic nonlinear heat and wave equations driven by subordinate cylindrical Brownian noises Hirotatsu Nagoji OriginalPaper 28 April 2023 Pages: 932 - 967
Global well-posedness of the two-dimensional stochastic viscous nonlinear wave equations Ruoyuan Liu OriginalPaper Open access 27 April 2023 Pages: 898 - 931
Non-linear Young equations in the plane and pathwise regularization by noise for the stochastic wave equation Florian BechtoldFabian A. HarangNimit Rana OriginalPaper Open access 26 April 2023 Pages: 857 - 897
Non-uniqueness in law of three-dimensional Navier–Stokes equations diffused via a fractional Laplacian with power less than one half Kazuo Yamazaki OriginalPaper 31 March 2023 Pages: 794 - 855
LDP and CLT for SPDEs with transport noise Lucio GaleatiDejun Luo OriginalPaper Open access 28 March 2023 Pages: 736 - 793
A branching particle system approximation for solving partially observed stochastic optimal control problems via stochastic maximum principle Hexiang WanGuangchen WangJie Xiong OriginalPaper 24 March 2023 Pages: 675 - 735
Well-posedness for a stochastic Camassa–Holm type equation with higher order nonlinearities Yingting MiaoChristian RohdeHao Tang OriginalPaper Open access 21 March 2023 Pages: 614 - 674
Analysis of fully discrete mixed finite element scheme for stochastic Navier–Stokes equations with multiplicative noise Hailong Qiu OriginalPaper 18 February 2023 Pages: 576 - 613
Global martingale solutions for stochastic Shigesada–Kawasaki–Teramoto population models Marcel BraukhoffFlorian HuberAnsgar Jüngel OriginalPaper Open access 14 February 2023 Pages: 525 - 575
Well posedness and stochastic derivation of a diffusion-growth-fragmentation equation in a chemostat Josué Tchouanti OriginalPaper 13 February 2023 Pages: 466 - 524
Invariant measures and global well-posedness for a fractional Schrödinger equation with Moser-Trudinger type nonlinearity Jean-Baptiste CasterasLéonard Monsaingeon OriginalPaper Open access 06 February 2023 Pages: 416 - 465
A maximal \(L_p\)-regularity theory to initial value problems with time measurable nonlocal operators generated by additive processes Jae-Hwan ChoiIldoo Kim OriginalPaper 30 January 2023 Pages: 352 - 415
Statistical analysis of discretely sampled semilinear SPDEs: a power variation approach Igor CialencoHyun-Jung KimGregor Pasemann OriginalPaper 16 January 2023 Pages: 326 - 351
Degenerate Kolmogorov equations and ergodicity for the stochastic Allen–Cahn equation with logarithmic potential Luca ScarpaMargherita Zanella OriginalPaper Open access 11 January 2023 Pages: 281 - 325
Stationary stochastic Navier–Stokes on the plane at and above criticality G. CannizzaroJ. Kiedrowski OriginalPaper Open access 11 January 2023 Pages: 247 - 280
Gaussian fluctuations of a nonlinear stochastic heat equation in dimension two Ran Tao OriginalPaper 23 December 2022 Pages: 220 - 246
Stochastic evolution equations with Lévy noise in the dual of a nuclear space C. A. Fonseca-Mora OriginalPaper 22 November 2022 Pages: 173 - 219