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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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Official URL: https://doi.org/10.1016/j.jmaa.2022.126176
Abstract
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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Additional Information: | 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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