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タイトル On the Ehrenfest wind-tree model
開催日時 2018年7月27日 16:00 ~ 17:30
主催者
講演者 Serge Troubetzkoy 氏(Aix-Marseille University)
場所 慶應義塾大学理工学部 14棟 733 (創想館 7階 ミーティング3)
内容 I will report on joint work with Alba Malaga Sabogal.
In 1912 Paul Tatyana Ehrenfest proposed the wind-tree model in order to interpret the ergodic hypothesis of Boltzmann. In the Ehrenfest wind-tree model, a point particle (the ``wind’’) moves freely on the plane and collides with the usual law of geometric optics irregularly placed square scatterers (the ``trees’’). We show that for generic configurations (in the sense of Baire) the wind-tree model has very nice dynamics in a.e. direction: minimality, ergodicity, and infinite ergodic ind
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