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Fluctuations of recentered maxima of discrete Gaussian Free Fields on a class of recurrent graphs by Kumagai, Takashi; Zeitouni, Ofer is a scholarly article available to read on EtoBox.

What is Fluctuations of recentered maxima of discrete Gaussian Free Fields on a class of recurrent graphs about?

We provide conditions that ensure that the recentered maximum of the Gaussian free field on a sequence of graphs fluctuates at the same order as the field at the point of maximal variance. In particular, on a sequence of such graphs the recentered maximum is not tight, similarly to the situation in Z but in contrast with the situation in Z^2. We show that our conditions cover a large class of "fractal" graphs.

Author

Kumagai, Takashi; Zeitouni, Ofer

Published

2013

Language

EN