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UID:1899fba497461c0ad826bbde87230a7b
CATEGORIES:Symmetric Functions & Probability Theory Seminar
CREATED:20250924T100339
SUMMARY:Cutoff for geodesic paths on hyperbolic manifolds
LOCATION:Hill 705
DESCRIPTION:This is a joint work with Joffrey Mathien. We establishnew instances of the
  cutoff phenomenon for geodesic paths and for the Brownian motion on compac
 t hyperbolic manifolds. We prove that for any fixed compact hyperbolic mani
 fold, the geodesic path started on a spatially localized initial condition 
 exhibits cutoff. Our work also extends results obtained by Golubev and Kamb
 er on hyperbolic surfaces of large volume to any dimension. More generally,
  we will discuss ongoing works on the cutoff phenomenon in mixing dynamical
  systems.\n
X-ALT-DESC;FMTTYPE=text/html:<p><span style="font-family: Lato, sans-serif; font-style: normal; font-var
 iant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-al
 ign: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing
 : 0px; white-space: normal; color: #242424; font-size: 12pt; vertical-align
 : baseline;">This is a joint work with Joffrey Mathien. We establish</span>
 <span style="font-family: Lato, sans-serif; font-style: normal; font-weight
 : 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 
 0px; text-transform: none; widows: 2; word-spacing: 0px; white-space: norma
 l; color: #242424; font-size: 12pt; vertical-align: baseline;"></span><span
  style="font-family: Lato, sans-serif; font-style: normal; font-variant: no
 rmal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: sta
 rt; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; w
 hite-space: normal; color: #242424; font-size: 12pt; vertical-align: baseli
 ne;">new instances of the cutoff phenomenon for geodesic paths and for the 
 Brownian motion on compact hyperbolic manifolds. We prove that for any fixe
 d compact hyperbolic manifold, the geodesic path started on a spatially loc
 alized initial condition exhibits cutoff. Our work also extends results obt
 ained by Golubev and Kamber on hyperbolic surfaces of large volume to any d
 imension. More generally, we will discuss ongoing works on the cutoff pheno
 menon in mixing dynamical systems.</span></p>
CONTACT:Charles Bordenave (Institut de Mathématiques de Marseille, IAS)
DTSTAMP:20260828T185710
DTSTART;TZID=America/New_York:20251001T104500
DTEND;TZID=America/New_York:20251001T234500
SEQUENCE:0
TRANSP:OPAQUE
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