Poly-adic filtrations, standardness, complementability and maximality
نویسندگان
چکیده
منابع مشابه
The theory of filtrations of subalgebras, standardness, and independence
This survey is devoted to the combinatorial and metric theory of filtrations: decreasing sequences of σ-algebras in measure spaces or decreasing sequences of subalgebras of certain algebras. One of the key notions, that of standardness, plays the role of a generalization of the notion of the independence of a sequence of random variables. Questions are discussed on the possibility of classifyin...
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The value of the next-jump time process at each time is the date its the next jump. We characterize the standardness of the filtration generated by this process in terms of the asymptotic behavior at n = −∞ of the probability that the process jumps at time n. In the case when the filtration is not standard we characterize the standardness of its extracted filtrations.
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Let k be a complete discrete valuation field of equal characteristic p > 0 with possibly imperfect residue field. Let Gk be its Galois group. We will prove that the conductors computed by the arithmetic ramification filtrations on Gk defined in [2] coincide with the differential Artin conductors and Swan conductors of Galois representations of Gk defined in [15]. As a consequence, we give a Has...
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Let X be a smooth projective variety over a field k and denote by CH(X) the group of codimension n cycles modulo rational equivalence on X. The structure of this group is largely unknown when n ≥ 2, especially when k is a “large” field such as the complex numbers. Beginning with the work of Bloch [Bl3] and Beauville [Be1,2], the Chow ring of an abelian variety was found to have some structure a...
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The object of study of this work is the invariant characteristics of filtrations in discrete, negative time, pioneered by Vershik. We prove the equivalence between I-cosiness and standardness without using Vershik’s standardness criterion. The equivalence between I-cosiness and productness for homogeneous filtrations is further investigated by showing that the I-cosiness criterion is equivalent...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2017
ISSN: 0091-1798
DOI: 10.1214/15-aop1085