Probability Theory for Fuzzy Quantum Spaces with Statistical Applications


by

Renáta Bartková, Beloslav Riečan, Anna Tirpáková

DOI: 10.2174/97816810853881170101
eISBN: 978-1-68108-538-8, 2017
ISBN: 978-1-68108-539-5





The reference considers probability theory in two main domains: fuzzy set theory, and quantum models. Readers will learn about the Kol...[view complete introduction]

Limit Theorems

- Pp. 115-152 (38)

Renáta Bartková, Beloslav Riečan and Anna Tirpáková

Abstract

In this chapter we introduce selected limit theorems on fuzzy quantum space, namely Egorov’s theorem, Central limit theorem, Weak and strong law of large numbers, and extreme value theorems for fuzzy quantum space. We also study here the Ergodic theory for fuzzy quantum space and Ergodic theorems and Poincaré recurrence theorems for fuzzy quantum dynamical systems, the Hahn-Jordan decomposition and Lebesgue decomposition for fuzzy quantum space.

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