Approximation schemes for path integration on Riemannian manifolds



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Sampedro Pascual, Juan Carlos (2022) Approximation schemes for path integration on Riemannian manifolds. Journal of Mathematical Analysis and Applications, 512 (2). p. 126176. ISSN 0022-247X

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In this paper, we prove a finite dimensional approximation scheme for the Wiener measure on closed Riemannian manifolds, establishing a generalization for L1-functionals, of the approach followed by Andersson and Driver on [1]. We follow a new approach motived by the categorical concept of colimit.

Item Type:Article
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CRUE-CSIC (Acuerdos Transformativos 2022)

Uncontrolled Keywords:Colimit; Finite dimensional approximations; Riemannian manifolds; Stratonovich stochastic integral; Wiener measure
Subjects:Sciences > Mathematics > Numerical analysis
Sciences > Mathematics > Stochastic processes
Sciences > Mathematics > Topology
ID Code:72540
Deposited On:03 Jun 2022 17:15
Last Modified:13 Jun 2022 08:08

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