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math.PR2016
Cut-off method for endogeny of recursive tree processes
Victor Kleptsyn, Michele Triestino
Given a solution to a recursive distributional equation, a natural (and non-trivial) question is whether the corresponding recursive tree process is endogenous. That is, whether th…
math.PR2013
Stationary random metrics on hierarchical graphs via -type recursive distributional equations
Mikhail Khristoforov, Victor Kleptsyn, Michele Triestino
This paper is inspired by the problem of understanding in a mathematical sense the Liouville quantum gravity on surfaces. Here we show how to define a stationary random metric on s…