@article{10902/37978, year = {2022}, url = {https://hdl.handle.net/10902/37978}, abstract = {Truth is much too complicated to allow anything but approximations. [John von Neumann] 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.}, organization = {The author has been supported by the Research Grant PGC2018-097104-B-I00 of the Spanish Ministry of Science, Technology and Universities, by the Institute of Interdisciplinar Mathematics of Complutense University and by PhD Grant PRE2019_1_0220 of the Basque Country Government.}, publisher = {Academic Press Inc.}, publisher = {Journal of Mathematical Analysis and Applications, 2022, 512(2), 126176}, title = {Approximation schemes for path integration on Riemannian manifolds}, author = {Sampedro Pascual, Juan Carlos}, }