Typical martingale diverges at a typical point
type: Item
instance of: scholarly article
title: Typical martingale diverges at a typical point
zbMATH Open document ID: 1343.60047
author: Ondřej F. K. Kalenda
author: J. Spurný
published in: Journal of Theoretical Probability
publication date: 2016-04-07T00:00:00Z
full work available at URL: https://arxiv.org/abs/1311.0194
Mathematics Subject Classification ID: 60G42
Mathematics Subject Classification ID: 54E52
Mathematics Subject Classification ID: 54E70
zbMATH DE Number: 6564042
zbMATH Keywords: \(L^p\)-bounded martingales
zbMATH Keywords: finite \(\sigma\)-algebras
zbMATH Keywords: filtration
zbMATH Keywords: comeager set
zbMATH Keywords: oscillation
MaRDI profile type: Publication
OpenAlex ID: W3103965403
arXiv ID: 1311.0194
cites work: Symmetric and Ordinary Differentiation
cites work: Most numbers obey no probability laws
cites work: Q5569299
cites work: Examples of non-shy sets
cites work: Martingales in Banach lattices
cites work: Q4323294
cites work: Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179)
cites work: Q3135095
cites work: A highly non-smooth norm on Hilbert space
cites work: An almost nowhere Fréchet smooth norm on superreflexive spaces
cites work: Q3874454
cites work: Q4839531
cites work: Convergence of a typical martingale (a remark on the Doob theorem)
cites work: On differentiability properties of typical continuous functions and Haar null sets
DOI: 10.1007/S10959-014-0567-7
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reviewed by: Neville Weber
description: scientific article; zbMATH DE number 6564042