BEGIN:VCALENDAR VERSION:2.0 PRODID:-//wp-events-plugin.com//7.2.3.1//EN TZID:Europe/Paris X-WR-TIMEZONE:Europe/Paris BEGIN:VEVENT UID:7449@i2m.univ-amu.fr DTSTART;TZID=Europe/Paris:20171120T000000 DTEND;TZID=Europe/Paris:20171124T000000 DTSTAMP:20241120T204333Z URL:https://www.i2m.univ-amu.fr/evenements/tiling-dynamical-system-morlet- chair-shigeki-akiyama/ SUMMARY:School (CIRM\, Luminy\, Marseille): Tiling Dynamical System (Morlet Chair Shigeki Akiyama) DESCRIPTION:School: \n\n\n\n CIRM - Jean-Morlet Chair \n Shigeki AKIYAMA - PIERRE ARNOUX\n\nTiling &\; Discrete Geometry\n\nPavages et géométrie discrète\n\n\n 2017 - Semester 2 \n\n\n\n\n\n\n\n\n\n\n\nRESEARCH SCHOOL \nTiling Dynamical System (1720)\nPavages et systèmes dynamiques\nDates:2 0-24 November 2017 at CIRM (Marseille Luminy\, France)\n\n\n\n\n[su_spacer ]\n\n\n\n\n\n\n SCHEDULE \n\n\n\n\n\n PARTICIPANTS \n\n\n\n\n\n ABSTRACTS \n\n\n\n\n\n\n \n\n\n\n\n\n\n\n \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n \n\n\n\n\nDESCRIPTION\n\nTiling dynamical system gives a generalization of substitutive dynamical system. It gives a nice model of quasi-crystals\, recognized as another new stable state of real materials. International ex perts on this topic will meet PhD students interested in this developing a rea.\nBasic terminology in tiling and point sets\nTiling is a classical ob ject. We first come back to the basic problem of its classification. Then we prepare notation of associated point sets and review basic notation of Delone set\, Meyer set\, Patterson set etc.\nSpectral property of tiling d ynamical systems \nTo deal with tiling dynamical system\, we discuss its topology\, the dynamical hull\, minimality and unique ergodicity. Under un ique ergodicity\, we may discuss its spectral property in detail (see. [4\ , 1]). Tiling dynamical system can be produced by a finite amount of data if we have self-affine expansion and we review results in this case.\nRecu rrence property of tilings \nWhen tiling is produced by cut and projectio n\, its dynamical system shows pure discrete spectrum. In fact the convers e almost holds (c.f. [3]). In such a pure discrete case\, there are new de velopments on bounded remainder sets\, and many classical Diophantine prob lems come into this field (see [2]). We shall discuss this connection duri ng this course.\nReferences\n[1] M. Baake and R.V. Moody\, Weighted dirac combs with pure point diffraction\, J. Reine Angew. Math. 573 (2004)\, 61- 94.\n[2] A. Haynes\, H. Koivusalo\, and J. Walton\, Super perfectly ordere d quasicrystals and the littlewood conjecture\, ArXiv:1506.05649.\n[3] J.- Y. Lee\, Substitution Delone sets with pure point spectrum are inter-model sets\, J. Geom. Phys. 57 (2007)\, no. 11\, 2263-2285.\n[4] B. Solomyak\, Dynamics of self-similar tilings\, Ergodic Theory Dynam. Systems 17 (1997) \, no. 3\, 695-738.\n\n\n\n\n\n\n \n\n\n\n\n \n\n\n\n\n[su_spacer]\n\n\n \n\n\n\n\nSCIENTIFIC COMMITTEE\n\n\n Boris Adamczewski (Aix-Marseille Un iversité)\n Valérie Berthé (Université Paris Diderot)\n Anne Siegel (IRISA CNRS Rennes)\n Boris Solomyak (University of Bar Ilan)\n\n\n\nORG ANIZING COMMITTEE\n\n\n Shigeki Akiyama (University of Tsukuba &\; Aix -Marseille Université)\n Pierre Arnoux (Aix-Marseille Université)\n\n\n \nMAIN SPEAKERS\n\n\n Nathalie Priebe Frank (Vassar College)\n\nIntroduct ion to hierarchical tiling dynamical systems \nLecture 1 -  Lecture2 - Le cture3 - VIDEOS\n\n Emmanuel Jeandel (Université de Lorraine)​\n\nUnde cidability of the Domino Problem  \nLecture 1 - Lecture 2 - Lecture 3  - VIDEOS \n\n Johannes Kellendonk (Université  Lyon 1)\n\n​Operators\ , Algebras and their Invariants for Aperiodic Tilings\n\n Michel Rigo (Un iversité de Liège)\n\nFrom combinatorial games to shape-symmetric morphi sms​\nLectures 1-3 - Follow-up - VIDEOS\n\n Boris Solomyak (University of Bar Ilan)\n\nDelone sets and Tilings​  \nLecture - VIDEO\n\n Jörg M Thuswaldner (Montanuniversität Leoben)\n\nS-adic sequences A bridge bet ween dynamics\, arithmetic\, and geometry​​\nLecture 1 - Lecture 2 - L ecture 3 -  VIDEOS \n\nOTHER PRESENTERS\n\n\n Paulina Cecchi (Universit é Paris Diderot)\n\n​Invariant measures for actions of congruent monoti lable amenable groups (pdf)\n\n Jungwon Lee (UNIST South Korea)\n\nDistr ibution of modular symbols: a dynamical approach\n\n Ivan Mitrofanov (ENS Paris)\n\nAlgorithmical properties of transducer groups and tilings\n\n J.M. Rodriguez Caballero (UQAM)\n\nBalanced parentheses and the E-polynomi als of the Hilbert scheme of n points on a torus (pdf)\n\n Filipp Rukhov ich (Moscow Insitute of Physics)\n\nOuter billiards outside regular polygo ns: sets of full measure and aperiodic points  (pdf) (poster)\n\n Mao Shinoda (Keio University)\n\nUncountably Many Ergodic Maximizing Measures for Dense Continuous Functions (pdf)​\n\n Yotam Smilansky (Tel-Aviv Uni versity)\n\nKakutani’s splitting procedure for substitution partitions\n \n Yaar Solomon (Ben-Gurion University)\n\nTiling Dynamical Systems (pdf )\n\n Yuki Takahashi (Bar-Ilan University)\n\nProducts of two Cantor sets and application to the Labyrinth model (pdf)\n\n Shuqin Zhang (Montanun iversität Leoben)\n\nThe space-filling curve of self-similar sets: two ex amples (pdf)\n\n\n\n\n\n\n\n\n\n \n\n\n\n\n\n\n\n\n\n\n\n CATEGORIES:Manifestation scientifique,Morlet Chair Semester,Morlet School END:VEVENT BEGIN:VTIMEZONE TZID:Europe/Paris X-LIC-LOCATION:Europe/Paris BEGIN:STANDARD DTSTART:20171029T020000 TZOFFSETFROM:+0200 TZOFFSETTO:+0100 TZNAME:CET END:STANDARD END:VTIMEZONE END:VCALENDAR