263 citations
- New York UniversityUS36 papers
- East China Normal UniversityCN28 papers
- Courant Institute of Mathematical SciencesUS9 papers
- National Institute of InformaticsJP9 papers
- Shanxi UniversityCN9 papers
- Ben-Gurion University of the NegevIL4 papers
- Stanford UniversityUS4 papers
- Centre National de la Recherche ScientifiqueFR3 papers
- Columbia UniversityUS3 papers
- Laboratoire de Mathématiques Blaise PascalFR3 papers
- Laboratoire de Mathématiques de VersaillesFR3 papers
- Santa Fe InstituteUS3 papers
7 papers · 1 filter
Non-convergence to unstable equilibriums for continuous-time and discrete-time stochastic processes
Olivier Raimond, Pierre Tarres
We prove non-convergence theorems towards an unstable equilibrium (or a trap) for stochastic processes. The processes we consider are continuous-time or discrete-time processes and…
Percolation probability and critical exponents for site percolation on the UIPT
Laurent Ménard
We derive three critical exponents for Bernoulli site percolation on the on the Uniform Infinite Planar Triangulation (UIPT). First we compute explicitly the probability that the r…
Free Energy Wells and Overlap Gap Property in Sparse PCA
Gérard Ben Arous, Alexander S. Wein, Ilias Zadik
We study a variant of the sparse PCA (principal component analysis) problem in the "hard" regime, where the inference task is possible yet no polynomial-time algorithm is known to…
Constants of de Bruijn-Newman type in analytic number theory and statistical physics
Charles M. Newman, Wei Wu
One formulation in 1859 of the Riemann Hypothesis (RH) was that the Fourier transform of for has only real zeros when is a specific function…
Bivariate Markov chains converging to Lamperti transform Markov Additive Processes
Bénédicte Haas, Robin Stephenson
Motivated by various applications, we describe the scaling limits of bivariate Markov chains on where can be viewed as a position ma…
Coarsening dynamics on with frozen vertices
Michael Damron, Sinziana M. Eckner, Hana Kogan +2
We study Markov processes in which -valued random variables , update by taking the value of a majority of their nearest neighbors or else tossing…