منابع مشابه
Drift by coupling to an anti-integrable limit
A symplectic twist map near an anti-integrable limit has an invariant set that is conjugate to a full shift on a set of symbols. We couple such a system to another twist map in such a way that the resulting system is symplectic. At the anti-integrable limit we construct a set of nonzero measure of orbits of the second map that drifts arbitrarily far, even when the coupling is arbitrarily small....
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In this paper we will solve a problem posed by Iglehart. In (1975) he conjectured that if Sn is a random walk with negative mean and finite variance then there is a constant c~ so that (St,.j/c~nl/2[N>n) converges weakly to a process which he called the Brownian excursion. It will be shown that his conjecture is false or, more precisely, that if ES~ = a < 0 , ES~ < oo, and there is a slowly var...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2016
ISSN: 0143-3857,1469-4417
DOI: 10.1017/etds.2016.10