Conditioned random walks and interaction-driven condensation

21 Oct 2016 Szavits-Nossan Juraj Evans Martin R. Majumdar Satya N.

We consider a discrete-time continuous-space random walk under the constraints that the number of returns to the origin (local time) and the total area under the walk are fixed. We first compute the joint probability of an excursion having area $a$ and returning to the origin for the first time after time $\tau$... (read more)

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