Empirical central limit theorems for ergodic automorphisms of the torus
The bulk of the paper is devoted to the proof of Theorem 1.3. In Section. 3, we provide an equivalent formula for X. This formula looks more complicated than ( ...
An error term in the Central Limit Theorem for sums of discrete ...The proof of the Quantitative. Multidimensional Central Limit Theorem in the d3 distance is based on the so-called ?smart path? method and again the afore- ... Quantitative Multidimensional Central Limit Theorems for Means of ...Excursions over a d-dimensional rectangle. Rectangle of Rd : T = [?N,+N]d. ?`T : sets of faces of T of dimension `, 0 ? ` ? d. Central Limit Theorem for the Euler Characteristic of excursion sets ...In Section 6 we deduce our Central Limit Theorems for homogeneous flows from the abstract Theorem 4.2. Section 8 contains the proof of the formula (1.2) on the ...
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