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5 papers · 2 filters
Renormalizability of Liouville Quantum Gravity at the Seiberg bound
François David, Antti Kupiainen, Rémi Rhodes +1
Liouville Quantum Field Theory can be seen as a probabilistic theory of 2d Riemannian metrics , conjecturally describing scaling limits of discrete -random surfac…
Fluctuations of the Self-Normalized Sum in the Curie-Weiss Model of SOC
Matthias Gorny, S. R. S. Varadhan
We extend the main theorem of arXiv:1301.6911 about the fluctuations in the Curie-Weiss model of SOC. We present a short proof using the Hubbard-Stratonovich transformation with th…
Continuity estimates for the complex cascade model on the phase boundary
Thomas Madaule, Rémi Rhodes, Vincent Vargas
We consider the complex branching random walk on a dyadic tree with Gaussian weights on the boundary between the diffuse phase and the glassy phase. We study the branching random w…
A class of stochastic differential equations with super-linear growth and non-Lipschitz coefficients
Khaled Bahlali, Antoine Hakassou, Youssef Ouknine
The purpose of this paper is to study some properties of solutions to one dimensional as well as multidimensional stochastic differential equations (SDEs in short) with super-linea…
Non-backtracking spectrum of random graphs: community detection and non-regular Ramanujan graphs
Charles Bordenave, Marc Lelarge, Laurent Massoulié
A non-backtracking walk on a graph is a directed path such that no edge is the inverse of its preceding edge. The non-backtracking matrix of a graph is indexed by its directed edge…