TY - JOUR
T1 - On minimal actions of countable groups
AU - Glasner, Eli
AU - Weiss, Benjamin
N1 - Publisher Copyright:
© 2025 The Authors.
PY - 2026/2
Y1 - 2026/2
N2 - Our purpose here is to review some recent developments in the theory of dynamical systems whose common theme is a link between minimal dynamical systems, certain Ramsey type combinatorial properties, and the Lovász local lemma (LLL). For a general countable group G the two classes of minimal systems we will deal with are (I) the minimal subsystems of the subgroup system (Sub(G),G), called URS’s (uniformly recurrent subgroups), and (II) minimal subshifts ; i.e. subsystems of the binary Bernoulli G-shift ({0,1}G,{σg}g∈G).
AB - Our purpose here is to review some recent developments in the theory of dynamical systems whose common theme is a link between minimal dynamical systems, certain Ramsey type combinatorial properties, and the Lovász local lemma (LLL). For a general countable group G the two classes of minimal systems we will deal with are (I) the minimal subsystems of the subgroup system (Sub(G),G), called URS’s (uniformly recurrent subgroups), and (II) minimal subshifts ; i.e. subsystems of the binary Bernoulli G-shift ({0,1}G,{σg}g∈G).
UR - https://www.scopus.com/pages/publications/105024101069
U2 - 10.1016/j.ejc.2025.104261
DO - 10.1016/j.ejc.2025.104261
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AN - SCOPUS:105024101069
SN - 0195-6698
VL - 132
JO - European Journal of Combinatorics
JF - European Journal of Combinatorics
M1 - 104261
ER -