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Published in 2021 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2021.89
Abstract: We investigate to what extent a minimal topological dynamical system is uniquely determined by a set of return times to some open set. We show that in many situations, this is indeed the case as…
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Keywords:
set return;
dynamical system;
minimal topological;
return times ... See more keywords
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Published in 2021 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ac0d34
Abstract: We present analytical results for the distribution of first return (FR) times of random walks (RWs) on random regular graphs (RRGs) consisting of N nodes of degree c ⩾ 3. Starting from a random initial…
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Keywords:
first return;
distribution first;
return times;
results distribution ... See more keywords
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Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.106.024120
Abstract: The expected return time of a fluctuating two-dimensional cluster or vacancy to a given configuration is studied in thermodynamic equilibrium. We define a family of bond-breaking models that preserve the number of particles. This family…
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Keywords:
return time;
return;
temperature;
return times ... See more keywords