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A random walk on a group is noise sensitive if resampling every step independantly with a small probability results in an almost independant output.
A mathematical theory of communication
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Random walks and discrete subgroups of Lie groups
H. Furstenberg · 1971
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Finite automata and Burnside’s problem for periodic groups
S. V. Aleshin · 1972
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Random walks on discrete groups: boundary and entropy
V. A. Kaimanovich and A. M. Vershik · 1983
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Degrees of growth of finitely generated groups and the theory of invariant means
R. I. Grigorchuk · 1985
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On the growth degrees of p-groups and torsion-free groups
R. I. Grigorchuk · 1986
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An elementary proof of the local central limit theorem
B. Davis and D. McDonald · 1995
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Noise sensitivity of Boolean functions and applications to percolation
I. Benjamini, G. Kalai, and O. Schramm · 1999
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Just infinite branch groups
R. Grigorchuk · 2000
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On the word and period growth of some groups of tree automorphisms
L. Bartholdi and Z. Sunik · 2001
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Random walks on finite groups
L. Saloff-Coste · 2004
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Self-similar groups
V. Nekrashevych · 2005
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On amenability of automata groups
L. Bartholdi, V. A. Kaimanovich, and V. Nekrashevych · 2010
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The Fourier spectrum of critical percolation
C. Garban, G. Pete, and O. Schramm · 2010
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Random Walk: A Modern Introduction
G. F. Lawler and V. Limic · 2010
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Growth of permutational extensions
L. Bartholdi and A. Erschler · 2012
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Amenability of linear-activity automaton groups
G. Amir, O. Angel, and B. Virág · 2013
Groups of given intermediate word growth
L. Bartholdi and A. Erschler · 2014
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Growth behaviors in the range e r α e^{r^{\alpha}}
J. Brieussel · 2014
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Noise sensitivity of Boolean functions and percolation
C. Garban and J. Steiff · 2014
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Subshifts with slow complexity and simple groups with the Liouville property
N. Matte Bon · 2014
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Speed of random walks, isoperimetry and compression of finitely generated groups
J. Brieussel and T. Zheng · 2015
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The Liouville property for groups acting on rooted trees
G. Amir, O. Angel, N. Matte Bon, and B. Virág · 2016
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Behaviors of entropy on finitely generated groups
J. Brieussel · 2013
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Random walk in random and non-random environments
P. Révész · 2013
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Choquet-Deny groups and the infinite conjugacy class property
J. Frisch, Y. Hartman, O. Tamuz, and P. Vahidi Ferdowsi
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Speed exponents of random walks on groups
G. Amir and B. Virág · 2017
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Three puzzles on mathematics, computation, and games
G. Kalai · 2018
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Palindromic subshifts and simple periodic groups of intermediate growth
V. Nekrashevych · 2018
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