Local time (mathematics)

id: local-time-mathematics-272-6766647
title: Local time (mathematics)
text: In the mathematical theory of stochastic processes, local time is a stochastic process associated with semimartingale processes such as Brownian motion, that characterizes the amount of time a particle has spent at a given level. Local time appears in various stochastic integration formulas, such as Tanaka's formula, if the integrand is not sufficiently smooth. It is also studied in statistical mechanics in the context of random fields.
brand slug: wiki
category slug: encyclopedia
description:
original url: https://en.wikipedia.org/wiki/Local_time_(mathematics)
date created:
date modified: 2023-08-12T21:13:28Z
main entity: {"identifier":"Q3883775","url":"https://www.wikidata.org/entity/Q3883775"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/e/e1/Local_times_surface.png","width":798,"height":709}
fields total: 13
integrity: 14

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