Taming correlations through entropy-efficient measure decompositions with applications to mean-field approximation Ronen Eldan OriginalPaper 04 June 2019 Pages: 737 - 755
Bessel SPDEs and renormalised local times Henri Elad AltmanLorenzo Zambotti OriginalPaper 18 June 2019 Pages: 757 - 807
Mixing time for random walk on supercritical dynamical percolation Yuval PeresPerla SousiJeffrey E. Steif OriginalPaper Open access 12 July 2019 Pages: 809 - 849
Algorithmic Pirogov–Sinai theory Tyler HelmuthWill PerkinsGuus Regts OriginalPaper 26 June 2019 Pages: 851 - 895
Robust statistical learning with Lipschitz and convex loss functions Geoffrey ChinotGuillaume LecuéMatthieu Lerasle OriginalPaper 02 July 2019 Pages: 897 - 940
On the range of lattice models in high dimensions Mark HolmesEdwin Perkins OriginalPaper Open access 06 July 2019 Pages: 941 - 1009
A stationary planar random graph with singular stationary dual: dyadic lattice graphs Russell LyonsGraham White OriginalPaper 06 July 2019 Pages: 1011 - 1043
The geometry of multi-marginal Skorokhod Embedding Mathias BeiglböckAlexander M. G. CoxMartin Huesmann OriginalPaper Open access 01 August 2019 Pages: 1045 - 1096
Jackknife multiplier bootstrap: finite sample approximations to the U-process supremum with applications Xiaohui ChenKengo Kato OriginalPaper 31 July 2019 Pages: 1097 - 1163
Detecting the direction of a signal on high-dimensional spheres: non-null and Le Cam optimality results Davy PaindaveineThomas Verdebout OriginalPaper 03 August 2019 Pages: 1165 - 1216
Fluctuations of the solutions to the KPZ equation in dimensions three and higher Alexander DunlapYu GuOfer Zeitouni OriginalPaper 31 July 2019 Pages: 1217 - 1258
A characterisation of the Gaussian free field Nathanaël BerestyckiEllen PowellGourab Ray OriginalPaper Open access 27 August 2019 Pages: 1259 - 1301
First passage sets of the 2D continuum Gaussian free field Juhan AruTitus LupuAvelio Sepúlveda OriginalPaper 09 September 2019 Pages: 1303 - 1355
Tightness for the cover time of the two dimensional sphere David BeliusJay RosenOfer Zeitouni OriginalPaper 17 August 2019 Pages: 1357 - 1437
Correction to: Tightness for the cover time of the two dimensional sphere David BeliusJay RosenOfer Zeitouni Correction 06 March 2020 Pages: 1439 - 1444
Correction to: Convergence of vertex-reinforced jump processes to an extension of the supersymmetric hyperbolic nonlinear sigma model Franz MerklSilke W. W. RollesPierre Tarrès Correction 26 February 2020 Pages: 1445 - 1445