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Showing 1 to 18 of 18 for “"billiards"”.
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Classical and quantum elliptic billiards
Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:53:53Z Item is restricted indefinitely.
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Statistical Properties of Transmission Spectra of Ergodic Wave Billiards: Random Hamiltonian Approach
Finally, we considered the experimental realization of the RMT system. We examined the dissipation of diffuse ultrasonic energy in a reverberant body coupled to a waveguide, i.e. in an open ergodic system. A simple model predicts a Porter-Thomas-like distribution of level widths and corresponding …
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Semiclassical approaches to Quantal Andreev Billiards and Other Topics in Inhomogeneous Superconductivity
… three settings. The first is that of Andreev billiards, which are finite, arbitrarily-shaped, normal-state regions, surrounded by superconductor. A theoretical framework for the investigation of the short-wave quantal properties of quasiparticles in Andreev billiards is developed. Among the …
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Dynamics of bouncing rigid bodies and billiards in the spaces of constant curvature
… reflections at the boundary. The theory of billiards has developed extensively for itself and for further applications. For example, billiards serve as natural models to many systems involving elastic collisions. One notable example is the system of spherical gas particles, which can be …
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Spectral Energy Dynamics and Wavevector Resonance in a Weakly Nonlinear Chaotic Elastodynamic Billiard
… an ensemble of weakly nonlinear elastodynamic billiards of a generic ray-chaotic shape, with wave fields inside the billiards being treated as fully diffuse and described by a universal statistical theory. A theoretical prediction of the average mode-coupling strength is obtained. Comparison is …
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Spectral Properties of Magnetic Edge States
… and exterior spectra of magnetic quantum billiards. To quantize the billiards, the boundary integral method is extended to the magnetic problem and to general boundary conditions. By virtue of an analytical regularization of the (hyper-)singular integral operators, we obtain for the first …
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Inequalities and Asymptotic Formulas in Algebraic Combinatorics
… studies inequalities concerning triangular-grid billiards and plabic graphs of Lam–Postnikov essential dimension 2. The material in this part is based on joint work with Colin Defant. The second part studies inequalities and asymptotic formulas concerning large-scale rook placements.
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ANOMALOUS TRANSPORT:_FROM THEORIES ABOUT OSMOTIC PRESSURE TO A NEW APPROACH IN THE FRAMEWORK OF DYNAMICAL SYSTEMS
… transport of matter in nanopores: the polygonal billiards. An idealization of them has been given in terms of chains of deterministic maps, and this is the way we undertake in this work. Therefore we introduce a class of chains of deterministic maps, which we call slicer maps, which enjoy some …
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Topics in theory of superconductivity
… mesoscopic devices, known as Andreev billiards, which consist of a normal region surrounded by a superconducting region. The classical mechanics of Andreev billiards is investigated by employing the tangent map technique, and general conditions under which these systems become chaotic …
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Markov Chains Derived From Lagrangian Mechanical Systems
… Lagrangian mechanical systems with collisions: billiards).
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Equilibrium Measures for Symbolic Spaces Using Dimension Theory
… of maximal entropy for finite horizon dispersing billiards. For one-sided subshifts of finite type, we construct the eigenmeasure and eigenfunction that appear in the Ruelle-Peron-Frobenius theorem using this dimension theoretic machinery.
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Dynamical Tunneling in Systems with a Mixed Phase Space
… with numerical data is found for kicked systems, billiards, and optical microcavities, if nonlinear resonances are negligible. Semiclassically, however, such nonlinear resonance chains dominate the tunneling process. Hence, we combine our approach with an improved resonance-assisted tunneling …
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Physical reasoning in complex scenes is sensitive to mass
… separate task, participants observed virtual 3D billiards-like movies and judged which balls were lighter. In contrast to the previous experiments, we found their judgments to be more consistent with simple, visual heuristics than a simulation-based model that updates its beliefs about mass in …
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Microscopic Chaos, Fractals, and Transport in Nonequilibrium Steady States. - (Die Veröffentlichung einer ergänzten und überarbeiteten Version bei "World Scientific Publishing" ist für 2005/06 geplant.)
… a simple random walk on the line up to particle billiards that should be directly accessible in experiments. In all cases, the resulting transport coefficients turn out to be either strictly fractal, or at least to be profoundly irregular. The impact of random perturbations on these quantities is …
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Eigenfunctions in chaotic quantum systems
The structure of wavefunctions of quantum systems strongly depends on the underlying classical dynamics. In this text a selection of articles on eigenfunctions in systems with fully chaotic dynamics and systems with a mixed phase space is summarized. Of particular interest are statistical …
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Designing boundary interactions for simple mobile robots
"Mobile robots are becoming increasingly common for applications such as logistics and delivery. While most research for mobile robots focuses on generating collision-free paths, however, an environment may be so crowded with obstacles that allowing contact with environment boundaries makes our …