THE ANNALS of PROBABILITY

On the boundary of the support of super-Brownian notion CARL MUELLER, LEONID MYTNIK AND EDWIN PERKINS 3481 How to initialize a second class particle? . . . . . . . . . . . . . . . . . . . . . . MÁRTON BALÁZS AND ATTILA LÁSZLÓ NAGY 3535 Outliers in the spectrum of large deformed unitarily invariant models SERBAN T. BELINSCHI, HARI BERCOVICI, MIREILLE CAPITAINE AND MAXIME FÉVRIER 3571 Bulk eigenvalue statistics for random regular graphs . . . . . . . . ROLAND BAUERSCHMIDT, JIAOYANG HUANG, ANTTI KNOWLES AND HORNG-TZER YAU 3626 Universality of cutoff for the Ising model . . . . . . . . . . EYAL LUBETZKY AND ALLAN SLY 3664 Intermittency and multifractality: A case study via parabolic stochastic PDEs DAVAR KHOSHNEVISAN, KUNWOO KIM AND YIMIN XIAO 3697 The front location in branching Brownian motion with decay of mass LOUIGI ADDARIO-BERRY AND SARAH PENINGTON 3752 BSE’s, BSDE’s and fixed-point problems . . . . . . PATRICK CHERIDITO AND KIHUN NAM 3795 A phase transition in excursions from infinity of the “fast” fragmentation-coalescence process . . . . . . ANDREAS E. KYPRIANOU, STEVEN W. PAGETT, TIM ROGERS AND JASON SCHWEINSBERG 3829 Local single ring theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . FLORENT BENAYCH-GEORGES 3850 Convergence of the centered maximum of log-correlated Gaussian fields JIAN DING, RISHIDEEP ROY AND OFER ZEITOUNI 3886 Variational representations for the Parisi functional and the two-dimensional Guerra–Talagrand bound . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . WEI-KUO CHEN 3929 The Vertex Reinforced Jump Process and a random Schrödinger operator on finite graphs CHRISTOPHE SABOT, PIERRE TARRÈS AND XIAOLIN ZENG 3967 Nonequilibrium isothermal transformations in a temperature gradient from a microscopic dynamics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . VIVIANA LETIZIA AND STEFANO OLLA 3987 Oil and water: A two-type internal aggregation model . . . . . . ELISABETTA CANDELLERO, SHIRSHENDU GANGULY, CHRISTOPHER HOFFMAN AND LIONEL LEVINE 4019