2024-03-29T14:45:58Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/693282022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Physical measures for partially hyperbolic surface endomorphismsTsujii, M.open access410We consider dynamical systems generated by partially hyperbolic surface endomorphisms of class er with one-dimensional strongly unstable subbundlc. As the main result, we prove that such a dynamical system generically admits finitely many ergodic physical measures whose union of basins of attraction has total Lebesgue measure, provided that r 2: 19.Department of Mathematics, Hokkaido University2003-01engdepartmental bulletin paperVoRhttps://doi.org/10.14943/83724http://hdl.handle.net/2115/6932810.14943/83724Hokkaido University Preprint Series in Mathematics579172https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69328/1/pre579.pdfapplication/pdf3.87 MB2003-01