TY - JOUR
T1 - Temporal Distributional Limit Theorems for Dynamical Systems
AU - Dolgopyat, Dmitry
AU - Sarig, Omri
N1 - NSF; Israel Science Foundation [199/14] The authors wish to thank Giovanni Forni for explaining to us the material of Sect. 5.2, Pat Hooper and Barak Weiss for explaining to us the material of Appendix 1, and Yuval Peres and Ofer Zeitouni for useful suggestions and fruitful discussions. The first author acknowledges support by NSF, the second author acknowledges support by Israel Science Foundation Grant 199/14
PY - 2017/2
Y1 - 2017/2
N2 - Suppose is a Borel flow on a complete separable metric space X, is Borel, and . A temporal distributional limit theorem is a scaling limit for the distributions of the random variables , where t is chosen randomly uniformly from [0, T], x is fixed, and . We discuss such laws for irrational rotations, Anosov flows, and horocycle flows.
AB - Suppose is a Borel flow on a complete separable metric space X, is Borel, and . A temporal distributional limit theorem is a scaling limit for the distributions of the random variables , where t is chosen randomly uniformly from [0, T], x is fixed, and . We discuss such laws for irrational rotations, Anosov flows, and horocycle flows.
UR - http://www.scopus.com/inward/record.url?scp=85007193500&partnerID=8YFLogxK
U2 - 10.1007/s10955-016-1689-3
DO - 10.1007/s10955-016-1689-3
M3 - مقالة
SN - 0022-4715
VL - 166
SP - 680
EP - 713
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
IS - 3-4
ER -