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math.PR2023
Structural results for the Tree Builder Random Walk
Janos Engländer, Giulio Iacobelli, Gábor Pete +1
We study the Tree Builder Random Walk: a randomly growing tree, built by a walker as she is walking around the tree. Namely, at each time , she adds a leaf to her current vertex…
math.PR2017
Impatient random walk
Janos Englander, Stanislav Volkov
We introduce a new type of random walk where the definition of edge reinforcement is very different from the one in the reinforced random walk models studied so far, and investigat…
math.PR2016
Turning a coin over instead of tossing it
Janos Englander, Stanislav Volkov
Given a sequence of numbers in , consider the following experiment. First, we flip a fair coin and then, at step , we turn the coin over to the other side with…