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9 papers · 2 filters
Minimum weight disk triangulations and fillings
Itai Benjamini, Eyal Lubetzky, Yuval Peled
We study the minimum total weight of a disk triangulation using vertices out of , where the boundary is the triangle and the triangles have ind…
Atypical exit events near a repelling equilibrium
Yuri Bakhtin, Hong-Bin Chen
We consider exit problems for small white noise perturbations of a dynamical system generated by a vector field, and a domain containing a critical point with all positive eigenval…
Large deviations for extreme eigenvalues of deformed Wigner random matrices
Benjamin McKenna
We present a large deviation principle at speed N for the largest eigenvalue of some additively deformed Wigner matrices. In particular this includes Gaussian ensembles with full-r…
A Gaussian process related to the mass spectrum of the near-critical Ising model
Federico Camia, Jianping Jiang, Charles M. Newman
Let with denote the near-critical scaling limit of the planar Ising magnetization field. We take the limit of as the spatial coordinate scales to infin…
Inverting the Ray-Knight identity on the line
Titus Lupu, Christophe Sabot, Pierre Tarrès
Using a divergent Bass-Burdzy flow we construct a self-repelling one-dimensional diffusion. Heuristically, it can be interpreted as a solution to an SDE with a singular drift invol…
Long exit times near a repelling equilibrium
Yuri Bakhtin, Hong-Bin Chen
For a smooth vector field in a neighborhood of a critical point with all positive eigenvalues of the linearization, we consider the associated dynamics perturbed by white noise. Us…