TY - JOUR
T1 - A universal hypercyclic representation
AU - Glasner, Eli
AU - Weiss, Benjamin
N1 - Publisher Copyright:
© 2015 Elsevier Inc.
PY - 2015/6/1
Y1 - 2015/6/1
N2 - For any countable group, and also for any locally compact second countable, compactly generated topological group, G, we show the existence of a "universal" hypercyclic (i.e. topologically transitive) representation on a Hilbert space, in the sense that it simultaneously models every possible ergodic probability measure preserving free action of G.
AB - For any countable group, and also for any locally compact second countable, compactly generated topological group, G, we show the existence of a "universal" hypercyclic (i.e. topologically transitive) representation on a Hilbert space, in the sense that it simultaneously models every possible ergodic probability measure preserving free action of G.
KW - Compactly generated groups
KW - Ergodic system
KW - Frequently hypercyclic
KW - Universal linear system
UR - http://www.scopus.com/inward/record.url?scp=84927913197&partnerID=8YFLogxK
U2 - 10.1016/j.jfa.2015.02.002
DO - 10.1016/j.jfa.2015.02.002
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AN - SCOPUS:84927913197
SN - 0022-1236
VL - 268
SP - 3478
EP - 3491
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 11
ER -