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DTSTART:20260329T030000
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DTSTAMP:20260515T124605Z
UID:69b2cc97ab232533507038@ist.ac.at
DTSTART:20260518T170000
DTEND:20260518T180000
DESCRIPTION:Speaker: Matteo D’Achille\nhosted by Laszlo Erdös & Jan Maas
 \nAbstract: We will discuss low-intensity limits of Poisson-Voronoi tessel
 lations\, a.k.a. ideal Poisson-Voronoi tessellations (IPVTs). In real hype
 rbolic space of dimension $d\\geq 2$\, a simple Poissonian description of 
 the cell containing the origin (the zero cell) allows one to study fine pr
 operties of all the tiles of the IPVT. This Poissonian description of the 
 IPVT remains fairly simple in other settings\, such as the infinite regula
 r tree and the Cartesian product of hyperbolic planes. Time permitting\, I
 ll also discuss a surprising application to Bernoulli-Voronoi percolation.
  The talk is based on a paper in collaboration with Nicolas Curien\, Natha
 nal Enriquez\, Russell Lyons\, and Meltem nel (Ann. Probab.)\, on 2412.008
 22\, on 2511.23317 in collaboration with Jan Grebk\, Ali Khezeli\, Konstan
 tin Recke and Amanda Wilkens\, and on work in progress with Ali Khezeli.It
  will also include a physical realization of the zero cell of the IPVT in 
 three dimensional hyperbolic space in the conformal ball model (jewel).
LOCATION:Central Bldg / O1 / Mondi 2a (I01.O1.008)\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Matteo D’Achille: The jewel and the two dials of the ideal Poisso
 n–Voronoi Tessellation
URL:https://talks-calendar.ista.ac.at/events/6352
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