scholarly journals Spectra of Schreier graphs of Grigorchuk’s group and Schroedinger operators with aperiodic order

2017 ◽  
Vol 370 (3-4) ◽  
pp. 1607-1637 ◽  
Author(s):  
Rostislav Grigorchuk ◽  
Daniel Lenz ◽  
Tatiana Nagnibeda
Keyword(s):  
Schroedinger Operators ◽  
Schreier Graphs ◽  
Aperiodic Order

scholarly journals Fixed-Parameter Extrapolation and Aperiodic Order

2018 ◽  
Vol 49 (3) ◽  
pp. 35-47
Author(s):  
Stephen Fenner ◽  
Frederic Green ◽  
Steven Homer
Keyword(s):  
Aperiodic Order ◽  
Fixed Parameter

scholarly journals Sharpness of KKL on Schreier graphs

2013 ◽  
Vol 18 (0) ◽  
Author(s):  
Ryan O'Donnell ◽  
Karl Wimmer
Keyword(s):  
Schreier Graphs

scholarly journals Aperiodic order induced enhancement of weak nonlocality in multilayered dielectric metamaterials

2018 ◽  
Vol 98 (19) ◽  
Author(s):  
Marino Coppolaro ◽  
Giuseppe Castaldi ◽  
Vincenzo Galdi
Keyword(s):  
Aperiodic Order

scholarly journals Schreir graphs: Transitivity and coverings

2016 ◽  
Vol 26 (01) ◽  
pp. 69-93 ◽  
Author(s):  
Paul-Henry Leemann
Keyword(s):  
Hyperbolic Manifolds ◽  
Rigidity Theorem ◽  
Partial Answer ◽  
Schreier Graphs

We give a characterization of isomorphisms between Schreier graphs in terms of the groups, subgroups and generating systems. This characterization may be thought as a graph analog of Mostow’s rigidity theorem for hyperbolic manifolds. This allows us to give a transitivity criterion for Schreier graphs. Finally, we show that Tarski monsters satisfy a strong simplicity criterion. This gives a partial answer to a question of Benjamini and Duminil-Copin.

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