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SUMMARY:Correlated Random Walks on the Lattice: First-Passage Problems on 
 Square\, Hexagonal and Honeycomb Lattices with Boundaries - Daniel Marris 
 (University of Bristol)
DTSTART:20240906T110500Z
DTEND:20240906T112500Z
UID:TALK219142@talks.cam.ac.uk
DESCRIPTION:We present a general theory for determining the first-passage 
 time distribution for random walks with one-step memory\, the so-called Co
 rrelated or Persistent Random Walk. The first-passage theory relies on the
  knowledge of the occupation probability of the walk and we present cases 
 on the square\, honeycomb and hexagonal lattices where the occupation prob
 ability is known with different boundary conditions. We discuss how these 
 boundary conditions affect the first-passage distribution and in certain c
 ases give rise to bi- and multi-modal first-passage distributions. We conc
 lude with some new results on how the persistent random walk on the Honeyc
 omb lattice may be applied as a model to study the foraging behaviour of a
  colony of ants.&nbsp\;\nThe work is done in collaboration with Luca Giugg
 ioli.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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