25 citations · 45 across the 17 of their papers we have counts for
4 papers · 1 filter
Stability of gas measures under perturbations and discretizations
Roberto Fernández, Pablo Groisman, Santiago Saglietti
For a general class of gas models ---which includes discrete and continuous Gibbsian models as well as contour or polymer ensembles--- we determine a \emph{diluteness condition} th…
dimensions and projections of random measures
Daniel Galicer, Santiago Saglietti, Pablo Shmerkin +1
We prove preservation of dimensions (for ) under all orthogonal projections for a class of random measures on the plane, which includes (deterministic) homogeneous…
Metastability for small random perturbations of a PDE with blow-up
Pablo Groisman, Santiago Saglietti, Nicolas Saintier
We study small random perturbations by additive space-time white noise of a reaction-diffusion equation with a unique stable equilibrium and solutions which blow up in finite time.…
Metastability for a PDE with blow-up and the FFG dynamics on diluted models
Santiago Saglietti
This thesis consists of two separate parts: in each we study the stability under small perturbations of certain probability models in different contexts. In the first, we study sma…