Dipartimento di Matematica
Guido Castelnuovo

Notiziario dei Seminari di carattere matematico
a cura del Dipartimento 'G. Castelnuovo'
Sapienza Università di Roma

Settimana dal 29 giugno al 5 luglio 2015

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Mercoledì 01 luglio 2015
Ore 16:15, aula di Consiglio
Seminario di Fisica Matematica
Benedetto Scoppola (Università di Roma Tor Vergata)
On the blockage problem and the non-analyticity of the current for the parallel TASEP on a ring
We will describe the totally asymmetric simple exclusion process (TASEP) on a ring, we will review some well known result about it, in the sequential and parallel cases, and we will discuss a very interesting and partially open problem, which is the blockage (or slow-bond) problem. We will discuss the exact solution of the problem in a particular case. The aim is to describe a prototype of an irreversible dynamics in which a small local perturbation influences globally the stationary distribution. Joint work with Carlo Lancia and Riccardo Mariani.

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Giovedì 2 luglio 2015
Ore 15:00, aula 1B1, Dipartimento SBAI
Seminario di Geometria
Yue Zhou (Università di Napoli Federico II)
Cayley graphs with diameter two from difference sets
Let C(d,k) and AC(d,k) be the largest orders of a Cayley graph and a Cayley graph based on an abelian group, respectively, of degree d and diameter k. When k=2, it is well-known that C(d,2) is at most d²+1 with equality if and only if the graph is a Moore graph. In the abelian case, AC(d,2) is at most d²/2+d+1. In this talk, we consider the construction of large graphs of diameter 2 using generalized difference sets. Our results improve the known lower bound on AC(d,2). This is a joint work with Alexander Pott.

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Giovedì 2 luglio 2015
Ore 16:30, aula 1B1, Dipartimento SBAI
Seminario di Analisi Numerica e Calcolo delle Probabilità
Daniela Calvetti (Case Western Reserve University)
Particle filtering and sequential Monte Carlo for stiff systems of differential equations

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Giovedì 2 luglio 2015
Ore 17:30, aula 1B1, Dipartimento SBAI
Seminario di Analisi Numerica e Calcolo delle Probabilità
Erkki Somersalo (Case Western Reserve University)
Ensemble Kalman filtering with applications to metabolic systems

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Venerdì 3 luglio 2015
Ore 15:00, aula 211, Università di Roma Tre (largo san L. Murialdo)
Seminario di Probabilità
Milan Bradonjic (Technical Staff Bell Labs, Alcatel-Lucent)
Large Scaling Laws for Maximum Coloring of Sparse Random Geometric Graphs
We study maximum coloring of sparse random geometric graphs, in an arbitrary but constant dimension, with a constant number of colors. We show laws of large numbers as well as central limit theorem type results for the maximum number of vertices that can be properly colored. Since this functional is neither scale-invariant nor smooth, we design tools that with the main method of sub-additivity allow us to show the weak and strong laws. Additionally, by proving the Lindeberg conditions, we show the normal limiting distribution for this functional. Joint work with Sem Borst.

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