Approximation schemes for path integration on Riemannian manifolds

Sampedro Pascual, Juan Carlos2023-06-222023-06-222022-03-210022-247X10.1016/j.jmaa.2022.126176https://hdl.handle.net/20.500.14352/71541CRUE-CSIC (Acuerdos Transformativos 2022)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.engAtribución-NoComercial-SinDerivadas 3.0 Españahttps://creativecommons.org/licenses/by-nc-nd/3.0/es/Approximation schemes for path integration on Riemannian manifoldsjournal articlehttps://doi.org/10.1016/j.jmaa.2022.126176open access51ColimitFinite dimensional approximationsRiemannian manifoldsStratonovich stochastic integralWiener measureAnálisis numéricoProcesos estocásticosTopología1206 Análisis Numérico1208.08 Procesos Estocásticos1210 Topología