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SUMMARY:Order of the variance in the discrete Hammersley process - Nicos G
eorgiou (University of Sussex)
DTSTART;VALUE=DATE-TIME:20191118T120000Z
DTEND;VALUE=DATE-TIME:20191118T130000Z
UID:https://talks.ox.ac.uk/talks/id/546181e7-31a9-4197-b8a7-58a5163e7e59/
DESCRIPTION:We discuss the order of the variance on a lattice analogue of
the Hammersley process\, for which the environment on each site has indepe
ndent\, Bernoulli distributed values. The last passage time is the maximu
m number of Bernoulli points that can be collected on a piecewise linear p
ath\, where each segment has strictly positive but finite slope.\n\nFor th
is model the shape function exhibits two flat edges and we study the order
of the variance in directions that fall in the flat edge\, in directions
that approximate the edge of the flat edge\, and in directions in the stri
ctly concave section of the shape for the i.i.d. model and for the associa
ted equilibrium model with boundaries. If time permitting\, we will discu
ss the shape function and variance in some inhomogeneous models as well. \
n\nThis is an exposition of several works with Janosch Ortmann\, Elnur Emr
ah and Federico Ciech.\nSpeakers:\nNicos Georgiou (University of Sussex)
LOCATION:Mathematical Institute (L4)\, Woodstock Road OX2 6GG
TZID:Europe/London
URL:https://talks.ox.ac.uk/talks/id/546181e7-31a9-4197-b8a7-58a5163e7e59/
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DESCRIPTION:Talk:Order of the variance in the discrete Hammersley process
- Nicos Georgiou (University of Sussex)
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