An isometric embedding of the g (t) -Brownian motion with application in stability and homotopy group
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Data
2019-01-01
Autores
Justo, Claudia Luque
Ledesma, Diego Sebastian
Da Silva, Fabiano Borges [UNESP]
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Resumo
In this work, we construct a g(t)-Brownian motion via an isometric embedding, whose approach permit to define the Laplace operator associated with parametrized metric g(t), for every t. We present an Itô formula for stochastic flow acting on time-dependent tensor fields, in particular to the metric g(t) and consequently to the norm of a stochastic process in TM. We use this approach to study stability by pth moment exponent of g(t)-Brownian motion and its applications on homotopy groups.
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Brownian motion, stability, time-dependent metric
Como citar
Stochastics and Dynamics.