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UID:5147@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20240507T143000
DTEND;TZID=Europe/Paris:20240507T153000
DTSTAMP:20250212T185839Z
URL:https://www.i2m.univ-amu.fr/evenements/tba-122/
SUMMARY:Giacomo PASSUELLO (Univ. de Padoue): Mixing time and cutoff for sim
 ple random walks on the Chung-Lu directed graph
DESCRIPTION:Giacomo PASSUELLO: In this talk\, we consider a simple random w
 alk defined on a\nChung-Lu directed graph. This is an inhomogeneous random
  network that\nextends the Erdős-Renyi random digraph\, where edges are i
 ncluded\nindependently according to given Bernoulli laws. In this non-reve
 rsible\nsetting\, we will focus on the convergence toward the equilibrium 
 of the\ndynamics. In particular\, under the assumption that average out-de
 grees grow\nlogarithmically in the size n of the graph (weakly dense regim
 e)\, we will\nestablish a cutoff phenomenon at the entropic time of order\
 nlog(n)/loglog(n). We will show that\, on a precise time window\, the cuto
 ff\nprofile is given by the Gaussian tail function. Our analysis provides 
 a\nrelaxation\, to a soft-constrained model\, of the cutoff result proved 
 by\nBordenave\, Caputo\, and Salez for the directed configuration model\, 
 where\ndegrees are deterministically fixed.\nJoint work with A. Bianchi.
CATEGORIES:Séminaire,Probabilités
LOCATION:I2M Saint-Charles - Salle de séminaire\, Université Aix-Marseill
 e\, Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, Franc
 e
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Université Aix-Marseille\,
  Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, France;X
 -APPLE-RADIUS=100;X-TITLE=I2M Saint-Charles - Salle de séminaire:geo:0,0
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