A note on recurrence of the Vertex reinforced jump process and fractional moments localization

We give a simple proof for recurrence of vertex reinforced jump process on \(\mathbb{Z}^d\), under strong reinforcement. Moreover, we show how the previous result implies that linearly edge-reinforced random walk on \ \(\mathbb{Z}^d\) is {recurrent} for strong reinforcement. Finally, we prove that t...

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Veröffentlicht in:	Electronic journal of probability 2021-01, Vol.26 (none)
Hauptverfasser:	Collevecchio, Andrea, Zeng, Xiaolin
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics
Online-Zugang:	Volltext
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