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THE VISITS TO ZERO OF A RANDOM WALK DRIVEN BY AN IRRATIONAL ROTATION
RANDOM WALK DRIVEN IRRATIONAL ROTATION
2015/9/29
The method is to nd the asymptotic behavior of the ergodic sums of L1
functions for linear
ows on the in nite staircase surface.
Our methods also provide a new proof of J. Beck's central limit th...
We revisit the relative perturbation theory for invariant subspaces of positive definite matrix pairs. As a prototype model problem for our results we consider parameter dependent families of eigenval...
The Strongly Simple Cycles with Given Rotation Pairs of an Interval Map
interval map strongly simple cycle rotation pair
2007/12/11
In this paper, we introduce the notion of the strongly simple cycles with some rotation pair for interval maps and prove that, if an interval map has a cycle with given rotation pair, then it has a st...