Some limit theorems of almost periodic function systems under the relative measure
نویسندگان
چکیده
منابع مشابه
Szegö limit theorems for operators with almost periodic diagonals Steffen
The classical Szegö theorems study the asymptotic behaviour of the determinants of the finite sections PnT (a)Pn of Toeplitz operators, i.e., of operators which have constant entries along each diagonal. We generalize these results to operators which have almost periodic functions on their diagonals.
متن کاملAlmost sure local limit theorems
Chung and Erdös (1951) are among the first to prove some form of an almost sure local limit theorem (cf. Csáki et al., 1993). Here we propose a formulation of such statements and discuss related problems. Surely, Frits will enjoy them. c ©2001, June 19.
متن کاملLimit Theorems for Some Branching Measure-valued Processes
We consider a particle system in continuous time, discrete population, with spatial motion and nonlocal branching. The offspring’s weights and their number may depend on the mother’s weight. Our setting captures, for instance, the processes indexed by a Galton-Watson tree. Using a size-biased auxiliary process for the empirical measure, we determine this asymptotic behaviour. We also obtain a l...
متن کاملIntegral analogues of almost sure limit theorems
An integral analogue of the general almost sure limit theorem is presented. In the theorem, instead of a sequence of random elements, a continuous time random process is involved, moreover, instead of the logarithmical average, the integral of delta-measures is considered. Then the general theorem is applied to obtain almost sure versions of limit theorems for semistable and max-semistable proc...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 1988
ISSN: 2156-2261
DOI: 10.1215/kjm/1250520403