PPT-Ergodic transition: a toy random matrix model

VEKravtsov ICTP Trieste and Landau Institute Collaboration Ivan Khaymovich Aaalto Emilio Cuevas Murcia Manybody localization Anderson localization model on random regular graph RRG. Lecture. 8. Ergodicty. 1. Random process. 2. 3. Agenda (. Lec. . . 8. ). Ergodicity. Central equations. Biomedical engineering example:. Analysis of heart sound murmurs. 4. Ergodicity. A random process . Richard Peng. M.I.T.. Joint work with . Dehua. Cheng, Yu Cheng, Yan Liu and . Shanghua. . Teng. (U.S.C.). Outline. Gaussian sampling, linear systems, matrix-roots. Sparse factorizations of . L. p. Based on the work with. Masafumi. . Fukuma. . and . Sotaro. . Sugishita. . (Kyoto Univ.). Naoya. . Umeda. . (Kyoto Univ.). [arXiv:1503.08812. ][JHEP . 1507 (2015) 088] . “. Random volumes from matrices. Ergodic phases in strongly disordered random regular graphs. V.E.Kravtsov. ICTP, Trieste. . Collaboration: . Boris . Altshuler. , Columbia U.. Lev . Ioffe. , Paris and Rutgers. Ivan . Khaymovich. , Aalto. Some Electric Toys. Circuits and Motors. Batteries are used to supply electricity . Electricity is used to run a motor. Motors are used for lots of things. From big…. To small…. Toy Engineering. Engineers design, build, and test toys using motors. Alex Arbogast, James Hegedus, Alex Seagle, Bryce Berryman. EF 152 Spring, 2017. Team E-05. April 4, 2017. Customer Requirements. & product selection. Desired audience are children ages 7 to 10.. This was the most unique product idea we came up with. We chose to create this product so that children could have the opportunity to assemble a marble roller coaster and design a unique track to the extent of their imagination. . Richard Peng. M.I.T.. Joint work with . Dehua. Cheng, Yu Cheng, Yan Liu and . Shanghua. . Teng. (U.S.C.). Outline. Gaussian sampling, linear systems, matrix-roots. Sparse factorizations of . L. p. (part 1). 1. Haim Kaplan and Uri Zwick. Algorithms in Action. Tel Aviv University. Last updated: April . 15 . 2016. (Finite, Discrete time) Markov chain. 2. A sequence . of random variables.  . Each . . Asato Tsuchiya (Shizuoka Univ.). SQS ’2013 @Bogoliubov Laboratory, July 29. th. , 2013 . References. Sang-Woo Kim, Jun Nishimura and A. T.. PRL 108 (2012) 011601, arXiv:1108.1540. Yi Ma. 1,2. . Allen Yang. 3. John . Wright. 1. CVPR Tutorial, June 20, 2009. 1. Microsoft Research Asia. 3. University of California Berkeley. 2. University of Illinois . at Urbana-Champaign. Richard Peng. Georgia Tech. OUtline. (Structured) Linear Systems. Iterative and Direct Methods. (. Graph) . Sparsification. Sparsified. Squaring. Speeding up Gaussian Elimination. Graph Laplacians. 1. class is part of the . java.util. package. It provides methods that generate pseudorandom numbers. A . Random. object performs complicated calculations based on a . seed value. to produce a stream of seemingly random values. . with Monte Carlo random trials. Alexander Kramida. National Institute of Standards and Technology,. Gaithersburg, Maryland, USA. . Parameters in atomic codes. Transition matrix elements. Slater parameters. Welcome to The Entertainer Toy Store, the best place for all things play. Happiness knows no bounds here. In the middle of all the fun things to do, our store is a safe place where laughter can be heard and dreams come true. Come with us as we show you the magic that awaits you at The Entertainer.