Events Archive

The talk will describe various older and recent results for systems of coalescing or annihilating random walks on $Z^d. In high dimensions the method of effective rate equations (as in van den
Berg and Kesten 2000) is tractable way to get at low density asymptotics. In dimension one some of the models are exactly solvable, and tools from random matrix theory are useful to get at the asymptotics (gap probabilities, persistence exponents) predicted and calculated by Derrida and his co-authors. Some results on annihilating systems coincide exactly with answers for real eigenvalues of the Real Ginibre
matrix ensemble. 

All new results are joint work with Oleg Zaboronski.