2021-12-03T20:41:15Zhttps://repository.dl.itc.u-tokyo.ac.jp/oaioai:repository.dl.itc.u-tokyo.ac.jp:000401622021-03-01T21:07:13ZLarge Deviation Principles for a Type of Diffusion Processes on Euclidean SpaceLiang, Song138745415large deviation principlediffusion processEuclidean spaceapplication/pdfWe consider a class of diffusion processes on Euclidean spaces, with the drift terms not weaker than linear order. We show large deviation principles for empirical distributions of positions for pinned processes under some explicit conditions in terms of the coefficients of the generator. Such a problem was discussed by Donsker-Varadhan under some implicit conditions.departmental bulletin paperGraduate School of Mathematical Sciences, The University of Tokyo2003application/pdfJournal of mathematical sciences, the University of Tokyo310555578AA1102165313405705https://repository.dl.itc.u-tokyo.ac.jp/record/40162/files/jms100305.pdfeng