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SUMMARY:Road layout in the KPZ class - Marton Balazs (Bristol)
DTSTART:20250204T140000Z
DTEND:20250204T150000Z
UID:TALK227338@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:In this talk I will be after a model for road layouts. Imagine
  a Poisson process on the plane for start points of cars. Each car picks a
 n independent random direction and goes straight that way for some distanc
 e. I will start with showing that the origin (my house\, that is) will see
  a lot of car traffic within an arbitrary small distance.\n\nWhich is not 
 what we find in the real world out there\, why? The answer is of course co
 alescence of paths in the random environment provided by hills and other g
 eographic or societal obstacles. This points us towards first passage perc
 olation (FPP)\, expected to be a member of the KPZ universality class. Due
  to lack of results for FPP\, instead we built our model in exponential la
 st passage percolation (LPP)\, known to be in the KPZ class. I will introd
 uce LPP\, then explain how to construct our road layout model in LPP\, and
  what phenomena we can prove about roads and cars in this model using resu
 lts from the LPP literature.\n(joint with Riddhipratim Basu\, Sudeshna Bha
 ttacharjee\, Karambir Das\, David Harper)\n\n\n
LOCATION:MR12
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