2024-03-28T18:52:16Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/691652022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Piecewise expanding maps on the plane with singular ergodic propertiesTsujii, M.410For 1 <_ r < oo, we construct a piecewise er expanding map F : D - D on the domain D = (0, 1) x (-1, 1) c R2 with the following property: there exists an open set B in D such that the diameter of pn (B) converges to Oas n - oo and the empirical measure n-1Eō:i 8Fk(x) converges to the point measure 8p at a point p as nāā for any point x EB.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69165info:doi/10.14943/83561https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69165/1/pre415.pdfHokkaido University Preprint Series in Mathematics415191998-06-01engpublisher