An isometric embedding of the g(t)-Brownian motion with application in stability and homotopy group-Reference-Cited by-同舟云学术

An isometric embedding of the g(t)-Brownian motion with application in stability and homotopy group

Published:2019-11-18 Issue:06 Volume:19 Page:1950045
ISSN:0219-4937
Container-title:Stochastics and Dynamics
language:en
Short-container-title:Stoch. Dyn.

Author:

Justo Claudia Luque¹,Ledesma Diego Sebastian²,da Silva Fabiano Borges³^ORCID

Affiliation:

1. Universidad Católica San Pablo, Arequipa, Perú

2. Universidade Estadual de Campinas, Campinas – SP, Brazil

3. Universidade Estadual Paulista UNESP, Bauru – SP, Brazil

Abstract

In this work, we construct a [Formula: see text]-Brownian motion via an isometric embedding, whose approach permit to define the Laplace operator associated with parametrized metric [Formula: see text], for every [Formula: see text]. We present an Itô formula for stochastic flow acting on time-dependent tensor fields, in particular to the metric [Formula: see text] and consequently to the norm of a stochastic process in [Formula: see text]. We use this approach to study stability by [Formula: see text]th moment exponent of [Formula: see text]-Brownian motion and its applications on homotopy groups.

Funder

FAPESP

CAPES

Publisher

World Scientific Pub Co Pte Lt

Subject

Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021949371950045X

Reference14 articles.

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