TY - JOUR
T1 - Rigidity of real-analytic actions of SL(n,ℤ) on τn
T2 - A case of realization of zimmer program
AU - Katok, Anatole
AU - Hertz, Federico Rodriguez
N1 - Copyright:
Copyright 2010 Elsevier B.V., All rights reserved.
PY - 2010/6
Y1 - 2010/6
N2 - We prove that any real-analytic action of SL(n, ℤ), n ≥3 with standard homotopy data that preserves an ergodic measure u whose support is not contained in a ball, is analytically conjugate on an open invariant set to the standard linear action on the complement to a finite union of periodic orbits.
AB - We prove that any real-analytic action of SL(n, ℤ), n ≥3 with standard homotopy data that preserves an ergodic measure u whose support is not contained in a ball, is analytically conjugate on an open invariant set to the standard linear action on the complement to a finite union of periodic orbits.
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U2 - 10.3934/dcds.2010.27.609
DO - 10.3934/dcds.2010.27.609
M3 - Article
AN - SCOPUS:77953301621
VL - 27
SP - 609
EP - 615
JO - Discrete and Continuous Dynamical Systems
JF - Discrete and Continuous Dynamical Systems
SN - 1078-0947
IS - 2
ER -