207 citations · 2.4k across the 59 of their papers we have counts for
6 papers · 1 filter
Fluctuation based proof of the stability of ac spectra of random operators on tree graphs
Michael Aizenman, Robert Sims, Simone Warzel
We summarize recent works on the stability under disorder of the absolutely continuous spectra of random operators on tree graphs. The cases covered include: Schrödinger operators…
From finite-system entropy to entropy rate for a Hidden Markov Process
Or Zuk, Eytan Domany, Ido Kanter +1
A recent result presented the expansion for the entropy rate of a Hidden Markov Process (HMP) as a power series in the noise variable $\eps$. The coefficients of the expansion arou…
Taylor series expansions for the entropy rate of Hidden Markov Processes
Or Zuk, Eytan Domany, Ido Kanter +1
Finding the entropy rate of Hidden Markov Processes is an active research topic, of both theoretical and practical importance. A recently used approach is studying the asymptotic b…
Persistence under Weak Disorder of AC Spectra of Quasi-Periodic Schroedinger operators on Trees Graphs
Michael Aizenman, Simone Warzel
We consider radial tree extensions of one-dimensional quasi-periodic Schroedinger operators and establish the stability of their absolutely continuous spectra under weak but extens…
Absolutely Continuous Spectra of Quantum Tree Graphs with Weak Disorder
Michael Aizenman, Robert Sims, Simone Warzel
We consider the Laplacian on a rooted metric tree graph with branching number and random edge lengths given by independent and identically distributed bounded variable…
Stability of the Absolutely Continuous Spectrum of Random Schroedinger Operators on Tree Graphs
Michael Aizenman, Robert Sims, Simone Warzel
The subject of this work are random Schroedinger operators on regular rooted tree graphs $\T$ with stochastically homogeneous disorder. The operators are of the form $H_λ(ω) = T +…