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. simulation. Dominic Berry. Macquarie University. Richard Cleve. IQC. Rolando . Somma. . . LANL. Simulation of Hamiltonians. Quantum computers could give an . exponential. speedup in the simulation of quantum physical systems.. Clint . Sprott. Department of Physics. University of Wisconsin - Madison. Presented . to Physics 311. at University of Wisconsin. in . Madison, . WI . on . October . 31, 2014. Abbreviated History. Kepler. Perturbation theory. Quasi integrable Hamiltonians . Small divisor problem. KAM theorem, . Melnikov’s. integral. Numerical measurements of . Lyapunov. exponents. Nekhoroshev. . Theorm. Chirikov. V.E.Kravtsov. ICTP, Trieste. and Landau Institute. Collaboration: . Ivan . Khaymovich. , . Aaalto. Emilio Cuevas, Murcia. Many-body localization. Anderson localization model on random regular graph (RRG). 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.. Vesal. . Hakami. October 30, 2010. Brief History. Basic Definitions, Initiatives, Sufficient Conditions, A Backtracking Algorithm . Chiba. & . Nishezeki. ’s. Linear Implementation for . Internally 4-Connected Plane. 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. Sprott. Department of Physics. University of Wisconsin . – Madison USA. Presented . at the Utrecht Physics Challenge. in Utrecht, Netherlands . on . May 6, 2017. Abbreviated History. Kepler (1605). Reid . Calamita. Motivation: Why Dynamics?. Modeling motion through time. Analytical Solutions. Numerical Approximations. Qualitative Results. Fixed Points. Robustness. General Behavior. Bounds. Limit Cycles. 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. Temple . and . Calendar. Intellectual Adjustment. Mythic. Thinking . Does not mean biblical stories are “fairy tales”. Refers to symbolic metaphors used to make concepts comprehensible. Bible has many of them – visual metaphors that . 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.