Nathalie Priebe Frank : Introduction to hierarchical tiling dynamical systems
Abstract: These lectures introduce the dynamical systems approach to tilings of Euclidean space, especially quasicrystalline tilings that have been constructed using a 'supertile method'. Because tiling dynamics parallels one-dimensional symbolic dynamics, we discuss this case as well, hig
From playlist Dynamical Systems and Ordinary Differential Equations
Numerical mathematics of quasicrystals – Pingwen Zhang – ICM2018
Numerical Analysis and Scientific Computing Invited Lecture 15.8 Numerical mathematics of quasicrystals Pingwen Zhang Abstract: Quasicrystals are one kind of fascinating aperiodic structures, and give a strong impact on material science, solid state chemistry, condensed matter physics an
From playlist Numerical Analysis and Scientific Computing
In this mini-lecture, we explore tilings found in everyday life and give the mathematical definition of a tiling. In particular, we think about: (i) traditional Islamic tilings; (ii) floor, wallpaper, pavement, and architectural tilings; (iii) the three regular tilings using either equilat
From playlist Maths
Constructing group actions on quasi-trees – Koji Fujiwara – ICM2018
Topology Invited Lecture 6.12 Constructing group actions on quasi-trees Koji Fujiwara Abstract: A quasi-tree is a geodesic metric space quasi-isometric to a tree. We give a general construction of many actions of groups on quasi-trees. The groups we can handle include non-elementary hype
From playlist Topology
Andrei Romashchenko: On centauric subshifts
Abstract : We discuss subshifts of finite type (tilings) that combine virtually opposite properties, being at once very simple and very complex. On the one hand, the combinatorial structure of these subshifts is rather simple: we require that all their configurations are quasiperiodic, or
From playlist Logic and Foundations
Non-equilibrium dynamics in localization-delocalization transition by Uma Divakaran
Indian Statistical Physics Community Meeting 2018 DATE:16 February 2018 to 18 February 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore This is an annual discussion meeting of the Indian statistical physics community which is attended by scientists, postdoctoral fellows, and graduate s
From playlist Indian Statistical Physics Community Meeting 2018
Playing with triangles: a quasi-Pythagorean identity. I highlight a beautiful identity coming from geometry, which has to do with equilateral triangles and complex numbers. This has been inspired by a Tweet by Steven Strogatz from Cornell University. For this, we use Euler's formula and ro
From playlist Complex Analysis
O. Paris-Romaskevich - Triangle tiling billiards
Tiling billiards is a dynamical system in which a billiard ball moves through the tiles of some fixed tiling in a way that its trajectory is a broken line, with breaks admitted only at the boundaries of the tiles. One can think about this system as a movement of the refracted light. In thi
From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications
An open quantum system generalization of a 1D quasiperiodic system by Manas Kulkarni
Open Quantum Systems DATE: 17 July 2017 to 04 August 2017 VENUE: Ramanujan Lecture Hall, ICTS Bangalore There have been major recent breakthroughs, both experimental and theoretical, in the field of Open Quantum Systems. The aim of this program is to bring together leaders in the Open Q
From playlist Open Quantum Systems
Jose Perea (5/2/21): Quasiperiodicity and Persistent Kunneth Theorems
A signal is said to be quasiperiodic if its constitutive frequencies are linearly independent over the rationals. With appropriate parameters, the sliding window embedding of such a function can be shown to be dense in a torus of dimension equal to the number of independent frenquencies. I
From playlist TDA: Tutte Institute & Western University - 2021
Using a set of points determine if the figure is a parallelogram using the midpoint formula
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr
From playlist Quadrilaterals on a Coordinate Plane
Andras Sarközy: Quasi-random graphs and pseudo-random binary sequences
Abstract: The notion of quasi-random graphs was introduced in 1987 by F. R. K. Chung, R. L. Graham and R. M. Wilson, resp. A. Thomason. It has been shown that there is a strong connection between this notion and the pseudorandomness of (finite) binary sequences. This connection can be util
From playlist Combinatorics
Transport and fractality in boundary-driven (quasi)disordered chains by Vipin Varma
Open Quantum Systems DATE: 17 July 2017 to 04 August 2017 VENUE: Ramanujan Lecture Hall, ICTS Bangalore There have been major recent breakthroughs, both experimental and theoretical, in the field of Open Quantum Systems. The aim of this program is to bring together leaders in the Open Q
From playlist Open Quantum Systems
Order, Entropy, Information, and Compression (Lecture 1) by Dov Levine
PROGRAM ENTROPY, INFORMATION AND ORDER IN SOFT MATTER ORGANIZERS: Bulbul Chakraborty, Pinaki Chaudhuri, Chandan Dasgupta, Marjolein Dijkstra, Smarajit Karmakar, Vijaykumar Krishnamurthy, Jorge Kurchan, Madan Rao, Srikanth Sastry and Francesco Sciortino DATE: 27 August 2018 to 02 Novemb
From playlist Entropy, Information and Order in Soft Matter
Jean Bourgain and Quasiperiodic...Operators - Svetlana Jitomirskaya and Fred Delbaen
Analysis and Beyond - Celebrating Jean Bourgain's Work and Impact May 23, 2016 More videos on http://video.ias.edu
From playlist Analysis and Beyond
Chaos in the incompressible Euler equation on manifolds of high dimensi - Francisco Torres de Lizaur
Workshop on the h-principle and beyond Topic: Chaos in the incompressible Euler equation on manifolds of high dimension Speaker: Francisco Torres de Lizaur Affiliation: University of Toronto Date: November 02, 2021 In this talk we will show how to construct finite dimensional families o
From playlist Mathematics
Universality of Resurgence in Quantization Theories - 15 June 2018
http://crm.sns.it/event/433 Universality of Resurgence in Quantization Theories Recent mathematical progress in the modern theory of resurgent asymptotic analysis (using trans-series and alien calculus) has recently begun to be applied systematically to many current problems of interest,
From playlist Centro di Ricerca Matematica Ennio De Giorgi
Akio Hizume - Fibonacci Turbine - G4G14 Apr 2022
FIBONACCI TURBINE and FIBONACCI HELICOPTER Just after G4G13 (2018), I invented the ORIGAMI Fibonacci Turbine (Patent No. 7013094) [1]. I have been working with the Phyllotaxis (Golden Angle) for 30 years, and this is my latest work. It is easy to make like ORIGAMI. There is no shaft, so t
From playlist G4G14 Videos
Kaapi with Kuriosity: Tilings (ONLINE) by Mahuya Datta
Kaapi with Kuriosity Tilings (ONLINE) Speaker: Mahuya Datta (Indian Statistical Institute, Kolkata) When: 4:00 pm to 5:30 pm Sunday, 27 March 2022 Where: Zoom meeting and Livestream on ICTS YouTube channel Abstract: Tiling is a way of arranging plane shapes so that they completely co
From playlist Kaapi With Kuriosity (A Monthly Public Lecture Series)