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 ...
Central limit theorems for simultaneous Diophantine approximationsTo prove the Feynman-Kac formula for two-point function, we introduce some notation. For x, y, ex, ey ? Zd,. ?x,ex,y,ey def. = P[(Kx?y ? ?x,y)? ex,ey + (K. Necessary and sufficient conditions for the conditional central limit ...A stationary sequence (X ? Ti)i?Z of random variables is said to satisfy the conditional central limit theorem (CCLT for short) if it verifies s1. central limit theorems for simultaneous diophantine approximationsSection 8 contains the proof of the formula (1.4) on the variances. Section 7 discusses some applications of Theorem 4.1 beyond the subject of Diophantine.
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