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UID:783@lincs.fr
DTSTART;TZID=Europe/Paris:20230918T140000
DTEND;TZID=Europe/Paris:20230918T170000
DTSTAMP:20230922T132229Z
URL:https://www.lincs.fr/events/bharath-roy-choudhury-s-phd-thesis-defense
 -records-of-stationary-processes-and-unimodular-graphs/
SUMMARY:Phd Thesis Defense : Records of stationary processes and unimodular
 graphs
DESCRIPTION:Consider a navigation rule defined on a graph that maps every
 vertex of\nthe graph to a vertex in such a way that the navigation rule
 commutes\nwith every automorphism of the graph. It is to say that the
 navigation\nrule applied to the vertices remains the same after taking
 any\nautomorphism of the graph. Such a navigation rule is said to have
 the\ncovariance property. This study delves into a collection of
 such\ncovariant navigation rules\, indexed by locally finite graphs\,
 and\nsubject to a measurability condition. This ensemble of rules is termed
 a\nvertex-shift. More generally\, one can consider vertex-shifts
 on\nnetworks\, graphs that have labels on edges and on vertices.
 A\nvertex-shift induces a dynamic on the space of locally finite
 rooted\nnetworks. The central focus of this work lies in investigating
 the\ndynamic associated to a specific navigation rule called the
 record\nvertex-shift. It is defined on the trajectories of any one
 dimensional\ndiscrete random walk whose increments have finite mean and the
 random\nwalk can jump only one step to the left. Additionally\, the work
 includes\nseveral notable results concerning record vertex-shifts applied
 to\nprocesses with stationary increments. The thesis also contains
 results\non more general vertex-shifts on unimodular networks.
CATEGORIES:PhD Defense
LOCATION:Inria\, salle Gilles Hahn\, 2 rue Simone Iff\, Paris\, 75012\,
 France
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 75012\, France;X-APPLE-RADIUS=100;X-TITLE=Inria\, salle Gilles Hahn:geo:0,0
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TZID:Europe/Paris
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