Abstract: In this talk we consider a stochastic point process $i + \xi_i$, where $i\in \mathbb{N}$ and the $\xi_i's$ are i.i.d exponential random variables with standard deviation $\sigma$. Some prope...
Abstract: We study the limiting distribution, in the high energy limit, of critical points and extrema of random spherical harmonics. In particular, we first derive the density functions of extrema an...
Si consideri l'equazione di Allen-Cahn in dimensione d=2 o d=3. Effettuando un riscalamento diffusivo, per dati iniziali opportuni, la dinamica limite dell'interfaccia tra le due fasi stabili e' descr...
Let (Y_n,V_n) be i.i.d. distributed, with the components r and s-dimensional, respectively. Reflected random walk starting at a point x of the positive r-dimensional orthant is deï¬ned recursively b...
We consider a Poissonian distribution of particles performing independent simple random walks. Simultaneously, on top of this system, a random walker evolves with a drift to the right when it is on to...
When official data are to be disseminated to the public, the agency that releases the data must guarantee $ It is not clear how to define and measure privacy. I will explain a notion developed in comp...
Recurrcnce properties for random walks on a two-dimensional random graph. In [1] a random walk on a bi-dimensional random graph was studied. This model had been previously introduced in the physical l...
The function ? was defined by Minkowski with the purpose of mapping quadratic irrationals bijectively onto the rationals of (0,1) (in addition, it maps the rationals onto the dyadic rationals). It has...
We consider the superposition of a symmetric simple exclusion dynamics, speeded-up in time, with a spin-flip dynamics in a one-dimensional interval with periodic boundary conditions. We prove the larg...
