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Exact asymptotic behaviour of the codimensions of some P.I. algebras

✍ Scribed by Vesselin Drensky; Amitai Regev


Book ID
112892823
Publisher
The Hebrew University Magnes Press
Year
1996
Tongue
English
Weight
362 KB
Volume
96
Category
Article
ISSN
0021-2172

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πŸ“œ SIMILAR VOLUMES


Exponential Growth for Codimensions of S
✍ Allan Berele; Amitai Regev πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 208 KB

By the Giambruno-Zaicev theorem for associative p.i. algebras, the exponential rate of growth of the codimensions of such a p.i. algebra is always a positive integer. Here we calculate that integer for various generic p.i. algebras which are given by a single identity. These include Capelli-type id

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Asymptotic expansions are obtained for the distribution of the supremum of a random walk with negative drift. The in uence of the roots of the characteristic equation is taken into account. The exact tail behaviour of the remainder terms is determined.