https://u-bourgogne.hal.science/hal-01556479Bonatti, ChristianChristianBonattiIMB - Institut de Mathématiques de Bourgogne [Dijon] - UB - Université de Bourgogne - UBFC - Université Bourgogne Franche-Comté [COMUE] - CNRS - Centre National de la Recherche ScientifiqueMinkov, S. S.S. S.MinkovMCCME - Moscow Center for Continuous Mathematical Education - IUM - Independent University of MoscowOkunev, A. V.A. V.OkunevHSE - Vysšaja škola èkonomiki = National Research University Higher School of Economics [Moscow]Shilin, I. S.I. S.ShilinMCCME - Moscow Center for Continuous Mathematical Education - IUM - Independent University of MoscowA $C^1$ Anosov diffeomorphism with a horseshoe that attracts almost any pointHAL CCSD2017Physical measureC-1-topologyThick horseshoeAnosov diffeomorphism[MATH] Mathematics [math]université de Bourgogne, IMB -2017-07-05 11:06:342023-02-08 17:11:022017-07-05 11:06:34enJournal articles10.1007/s10688-017-0176-11We present an example of a $C^1$ Anosov diffeomorphism with a physical measure such that its basin has full Lebesgue measure and its support is a horseshoe of zero measure.