PPT-Hamiltonian Chaos and the Ergodic Hypothesis

The Brown Bag Hassan Bukhari BS Physics 2012 墫鱡뱿轺 Stat Mech Project It is not less important to understand the foundation of such a complex issue than to calculate useful quantities. Determinism and Randomness . Classical physics is deterministic!. If you know where you started you know where you are going. Randomness:. Quantum randomness is truly random and unpredictable. A lot of randomness is actually complexity and uncertainty. Perturbation theory. Quasi integrable Hamiltonians . Small divisor problem. KAM theorem, . Melnikov’s. integral. Numerical measurements of . Lyapunov. exponents. Nekhoroshev. . Theorm. Chirikov. and the standard map. Poincare section and twist maps. .. Area preserving mappings.. Standard map as time sections of kicked oscillator (link with quantum chaos).. Phase portraits of the standard map.. “I . have told you these things, so that in me you may have peace. In this world you will have trouble. But take heart! I have overcome the world.” . . John . 16:33. Finding God in the Chaos. 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. by: Saeed . Heidary. 29 Feb 2013. Outline:. Chaos in Deterministic Dynamical systems. Sensitivity to initial conditions. Lyapunov. exponent. Fractal geometry. Chaotic time series prediction. Chaos in Deterministic Dynamical systems. Ho - this hypothesis holds that if the data deviate from the norm in any way, that deviation is due strictly to chance.. Alternative hypothesis. Ha - the data show something important.. Doing decision = accept/reject Ho (the decision centers around null hypothesis). The Traveling Salesman Problem. Drew Nash. 26 March 2014. Definitions. You are a traveling salesperson…. http://. www.travelingsalesman.org/travelling_serial.html. On assignment…. http://www.nytimes.com/interactive/2012/03/01/theater/201203-death-of-a-salesman-interactive.html?_r=0. Wesley Thio. Linear Circuits. In linear circuits, voltage is proportional to the current . Linear circuit examples. Tesla Coil. RLC circuit. Equipment. Function Generator. Oscilloscope. Power supply. Writing a Hypothesis. Quick Questions. What do we remember about testable questions?. What is a hypothesis?. What do hypotheses have in common with testable questions?. How do we write a hypothesis?. Brian . Ancell. , Allison . Bogusz. , Matthew . Lauridsen. , Christian . Nauert. Texas Tech . University. 11. th. Workshop on Meteorological Sensitivity Analysis and Data Assimilation. July 1-6, . La gamme de thé MORPHEE vise toute générations recherchant le sommeil paisible tant désiré et non procuré par tout types de médicaments. Essentiellement composé de feuille de morphine, ce thé vous assurera d’un rétablissement digne d’un voyage sur . By Dr. . Dorit. . Kedar. Chaos. Nearly all human creation myths start with the motif of . Chaos,. the non-defined, non-limited. .. . In one way or another human mythology sees Chaos as the source and bearer of the four formative elements of the Visible – earth, water, air and fire. Patrick Wilson. Compliance Officer. The Co-operative Bank. Key takeaways. - The concept of ergodicity. - How lawyers can help avoid ruin. - Volatility is stability. - We want to be antifragile. - Small is beautiful.