Local limit theorem for the Lorentz process and its recurrence in the plane
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چکیده
منابع مشابه
Local Limit Theorem for the Lorentz Process and Its Recurrence in the Plane
For Young systems, i. e. for hyperbolic systems without/with singularities satisfying Young’s axioms [You 98] (which imply exponential decay of correlation and the CLT) a local CLT is proven. In fact, a unified version of the local CLT is found, covering among others the absolutely contionuous and the arithmetic cases. For the planar Lorentz process with a finite horizon this result implies a.)...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2004
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385703000439