التفاصيل البيبلوغرافية
| العنوان: |
A cascade decomposition theory with applications to Markov and exchangeable cascades. |
| المؤلفون: |
Edward C. Waymire, Stanley C. Williams |
| المصدر: |
Transactions of the American Mathematical Society; Feb1996, Vol. 348 Issue 2, p585-632, 48p |
| مصطلحات موضوعية: |
DECOMPOSITION method, DIMENSION theory (Algebra) |
| مستخلص: |
A multiplicative random cascade refers to a positive $T$-martingale in the sense of Kahane on the ultrametric space $T = { { 0,1,\dots,b-1 } }^{\bold N}.$ A new approach to the study of multiplicative cascades is introduced. The methods apply broadly to the problems of: (i) non-degeneracy criterion, (ii) dimension spectra of carrying sets, and (iii) divergence of moments criterion. Specific applications are given to cascades generated by Markov and exchangeable processes, as well as to homogeneous independent cascades. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
Complementary Index |
