Typical martingale diverges at a typical point

DOI10.1007/s10959-014-0567-7zbMath1343.60047arXiv1311.0194OpenAlexW3103965403MaRDI QIDQ270209

Ondřej F. K. Kalenda, Jiří Spurný

Publication date: 7 April 2016

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.0194

zbMATH Keywords

filtrationoscillation\(L^p\)-bounded martingalescomeager setfinite \(\sigma\)-algebras

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Baire category, Baire spaces (54E52) Probabilistic metric spaces (54E70)

Cites Work

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• Martingales in Banach lattices
• A highly non-smooth norm on Hilbert space
• Convergence of a typical martingale (a remark on the Doob theorem)
• Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179)
• On differentiability properties of typical continuous functions and Haar null sets
• Symmetric and Ordinary Differentiation
• An almost nowhere Fréchet smooth norm on superreflexive spaces
• Examples of non-shy sets

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