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SUMMARY:Geodesic slice sampling on the sphere
DTSTART;VALUE=DATE-TIME:20220805T093000Z
DTEND;VALUE=DATE-TIME:20220805T095000Z
DTSTAMP;VALUE=DATE-TIME:20231210T050045Z
UID:indico-contribution-204-1202@conference2.aau.at
DESCRIPTION:We introduce a geodesic slice sampler on the Euclidean sphere
(in arbitrary but fixed dimension) that can be used for approximate sampli
ng from distributions that have a density with respect to the correspondin
g surface measure. Such distributions occur e.g. in the modelling of direc
tional data or shapes. Under some mild conditions we show that the corresp
onding transition kernel is well-defined\, in particular\, that it is reve
rsible with respect to the distribution of interest.\nMoreover\, if the de
nsity is bounded away from zero and infinity\, then we obtain a uniform er
godicity convergence result.\n\nhttps://conference2.aau.at/event/131/contr
ibutions/1202/
LOCATION: Universität Klagenfurt HS 3
URL:https://conference2.aau.at/event/131/contributions/1202/
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SUMMARY:The maximum of branching Brownian motion
DTSTART;VALUE=DATE-TIME:20220805T090000Z
DTEND;VALUE=DATE-TIME:20220805T092000Z
DTSTAMP;VALUE=DATE-TIME:20231210T050045Z
UID:indico-contribution-204-1204@conference2.aau.at
DESCRIPTION:The order of the maximum of branching Brownian motion (BBM) di
ffers in a logarithmic correction term from the one in corresponding indep
endent setting. In this talk we zoom into this transition. We study "varia
ble speed branching Brownian motions" where the "speed functions"\, that d
escribe the time-inhomogeneous variance\, approach the one of BBM from bel
ow. We show that the logarithmic correction only depends on the initial an
d final diffusion parameters. We will see that the key to the above result
is a precise understanding of the entropic repulsion experienced by an ex
tremal particle.\nBased on joint work in progress with Lisa Hartung.\n\nht
tps://conference2.aau.at/event/131/contributions/1204/
LOCATION: Universität Klagenfurt HS 3
URL:https://conference2.aau.at/event/131/contributions/1204/
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