Singular SPDEs in domains with boundaries Máté GerencsérMartin Hairer OriginalPaper Open access 01 March 2018 Pages: 697 - 758
A Liouville theorem for stationary and ergodic ensembles of parabolic systems Peter BellaAlberto ChiariniBenjamin Fehrman OriginalPaper Open access 22 March 2018 Pages: 759 - 812
Strong law of large numbers for the capacity of the Wiener sausage in dimension four Amine AsselahBruno SchapiraPerla Sousi OriginalPaper 24 March 2018 Pages: 813 - 858
Fundamental limits of symmetric low-rank matrix estimation Marc LelargeLéo Miolane OriginalPaper 10 April 2018 Pages: 859 - 929
A distance exponent for Liouville quantum gravity Ewain GwynneNina HoldenXin Sun OriginalPaper 26 April 2018 Pages: 931 - 997
An invariance principle for branching diffusions in bounded domains Ellen Powell OriginalPaper 27 April 2018 Pages: 999 - 1062
Regularization by noise for stochastic Hamilton–Jacobi equations Paul GassiatBenjamin Gess OriginalPaper 02 May 2018 Pages: 1063 - 1098
Weak universality for a class of 3d stochastic reaction–diffusion models M. FurlanM. Gubinelli OriginalPaper 03 May 2018 Pages: 1099 - 1164
Concentration of the empirical level sets of Tukey’s halfspace depth Victor-Emmanuel Brunel OriginalPaper 11 May 2018 Pages: 1165 - 1196
Cutoff for conjugacy-invariant random walks on the permutation group Nathanaël BerestyckiBatı Şengül OriginalPaper Open access 14 May 2018 Pages: 1197 - 1241
Local limits of lozenge tilings are stable under bounded boundary height perturbations Benoît Laslier OriginalPaper 09 June 2018 Pages: 1243 - 1264
On pinned fields, interlacements, and random walk on \(({\mathbb {Z}}/N {\mathbb {Z}})^2\) Pierre-François Rodriguez OriginalPaper 11 June 2018 Pages: 1265 - 1299
The smallest singular value of a shifted d-regular random square matrix Alexander E. LitvakAnna LytovaPierre Youssef OriginalPaper 19 June 2018 Pages: 1301 - 1347
Convergence of vertex-reinforced jump processes to an extension of the supersymmetric hyperbolic nonlinear sigma model Franz MerklSilke W. W. RollesPierre Tarrès OriginalPaper 23 June 2018 Pages: 1349 - 1387