On a nonstandard Brownian motion and its maximal function

DOI10.1016/j.physa.2015.01.066zbMath1402.60100OpenAlexW2018691412MaRDI QIDQ1618391

Bernardo B. de Andrade

Publication date: 13 November 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2015.01.066

zbMATH Keywords

random walkinternal set theoryradically elementary probabilityWiener walk

Mathematics Subject Classification ID

Brownian motion (60J65) Nonstandard models in mathematics (03H05)

Related Items (1)

A note on special cases derived from Nelson's martingale central limit theorem

Cites Work

• Stochastic calculus with infinitesimals
• Nonstandard analysis in classical physics and quantum formal scattering
• A model of set-theory in which every set of reals is Lebesgue measurable
• Radically elementary analysis of an interacting particle system at an unstable equilibrium
• Radically Elementary Probability Theory. (AM-117)
• Conversion from Nonstandard to Standard Measure Spaces and Applications in Probability Theory
• Internal set theory: A new approach to nonstandard analysis
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