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- W4225533649 abstract "In this work we are interested in the set of visited vertices of a tree $mathbb{T}$ by a randomly biased random walk $mathbb{X}:=(X_n,n in mathbb{N})$. The aim is to study a generalized range, that is to say the volume of the trace of $mathbb{X}$ with both constraints on the trajectories of $mathbb{X}$ and on the trajectories of the underlying branching random potential $mathbb{V}:=(V(x), x in mathbb{T})$. Focusing on slow regime's random walks (see [HS16b], [AC18]) we prove a general result and detail examples. These examples exhibit many different behaviors for a wide variety of ranges, showing the interactions between trajectories of $mathbb{X}$ and the ones of $mathbb{V}$." @default.
- W4225533649 created "2022-05-05" @default.
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- W4225533649 date "2021-11-09" @default.
- W4225533649 modified "2023-09-29" @default.
- W4225533649 title "Generalized range of slow random walks on trees" @default.
- W4225533649 hasPublicationYear "2021" @default.
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