central limit theorems for simultaneous diophantine approximations
We are now in position to state the main result of this section. Theorem 2.4. Let f = (f1,...,f`) : Td ? R` be a continuous function, with.
Empirical central limit theorems for ergodic automorphisms of the torusThe 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.
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