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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
