147 citations · 468 across the 45 of their papers we have counts for
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math.DS2018
On substitution tilings and Delone sets without finite local complexity
Jeong-Yup Lee, Boris Solomyak
We consider substitution tilings and Delone sets without the assumption of finite local complexity (FLC). We first give a sufficient condition for tiling dynamical systems to be un…
math.DS2018
Delone sets and dynamical systems
Boris Solomyak
In these expository notes we focus on selected topics around the themes: Delone sets as models for quasicrystals, inflation symmetries and expansion constants, substitution Delone…
math.DS2018
A spectral cocycle for substitution systems and translation flows
Alexander I. Bufetov, Boris Solomyak
For substitution systems and translation flows, a new cocycle, which we call {\em spectral cocycle}, is introduced, whose Lyapunov exponents govern the local dimension of the spect…