TY - JOUR
T1 - Central limit theorem for ℤd +-actions by toral endomorphisms
AU - Levin, Mordechay B.
PY - 2013/3/11
Y1 - 2013/3/11
N2 - In this paper we prove the central limit theorem for the following multisequence where f is a Hölder's continue function, A1,...,Ad are s×s partially hyperbolic commuting integer matrices, and x is a uniformly distributed random variable in [0,1]s. Then we prove the functional central limit theorem, and the almost sure central limit theorem. The main tool is the S-unit theorem.
AB - In this paper we prove the central limit theorem for the following multisequence where f is a Hölder's continue function, A1,...,Ad are s×s partially hyperbolic commuting integer matrices, and x is a uniformly distributed random variable in [0,1]s. Then we prove the functional central limit theorem, and the almost sure central limit theorem. The main tool is the S-unit theorem.
KW - Central limit theorem
KW - Partially hyperbolic actions
KW - Toral endomorphisms
UR - http://www.scopus.com/inward/record.url?scp=84875115047&partnerID=8YFLogxK
U2 - 10.1214/EJP.v18-1904
DO - 10.1214/EJP.v18-1904
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AN - SCOPUS:84875115047
SN - 1083-6489
VL - 18
JO - Electronic Journal of Probability
JF - Electronic Journal of Probability
ER -