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SUMMARY:Universality in random growth processes - Sourav Sarkar (Universit
y of Cambridge)
DTSTART;VALUE=DATE-TIME:20220613T120000
DTEND;VALUE=DATE-TIME:20220613T130000
UID:https://talks.ox.ac.uk/talks/id/cbc6b809-eb37-45bb-86d9-e4c1502dcd4a/
DESCRIPTION:Universality in disordered systems has always played a central
role in the direction of research in Probability and Mathematical Physics
\, a classical example being the Gaussian universality class (the central
limit theorem). In this talk\, I will describe a different universality cl
ass for random growth models\, called the KPZ universality class. Since Ka
rdar\, Parisi and Zhang introduced the KPZ equation in their seminal paper
in 1986\, the equation has made appearances everywhere from bacterial gro
wth\, fire front\, coffee stain to the top edge of a randomized game of Te
tris\; and this field has become a subject of intense research interest in
Mathematics and Physics for the last 15 to 20 years. The random growth pr
ocesses that are expected to have the same scaling and asymptotic fluctuat
ions as the KPZ equation and converge to the universal limiting object cal
led the KPZ fixed point\, are said to lie in the KPZ universality class\,
though this KPZ universality conjecture has been rigorously proved for onl
y a handful of models till now. Here\, I will talk about some recent resul
ts on universal geometric properties of the KPZ fixed point and the underl
ying landscape and show that the KPZ equation and exclusion processes con
verge to the KPZ fixed point under the 1:2:3 scaling\, establishing the KP
Z universality conjecture for these models\, which were long-standing open
problems in this field.\n\nThe talk is based on joint works with Jeremy Q
uastel\, Balint Virag and Duncan Dauvergne.\n\nSpeakers:\nSourav Sarkar (U
niversity of Cambridge)
LOCATION:Mathematical Institute\, L5
TZID:Europe/London
URL:https://talks.ox.ac.uk/talks/id/cbc6b809-eb37-45bb-86d9-e4c1502dcd4a/
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DESCRIPTION:Talk:Universality in random growth processes - Sourav Sarkar (
University of Cambridge)
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