Formation of large-scale random structure by competitive erosion

Probability Seminar
Mar 21, 2018 3:10pm to 4:00pm
Location: 
1011 Evans Hall
Status: 
Happening As Scheduled
Competitive erosion models a random interface sustained in equilibrium by equal and opposite pressures on each side of the interface. Here we study the following one dimensional version. Begin with all sites of Z uncolored. A blue particle performs simple random walk from 0 until it reaches a nonzero red or uncolored site, and turns that site blue; then, a red particle performs simple random...
Sourav Sarkar, U.C. Berkeley