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Recent Progress in the Physics of Open Quantum Systems: Theory and Experiment 
Posted on 20150802
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This Report explores recent advances in our understanding of the physics of open quantum systems (OQSs) which consist of some localized region that is coupled to an external environment. Examples of such systems may be found in numerous areas of physics including mesoscopic physics that provides the main focus of this review. We provide a detailed discussion of the behavior of OQSs in terms of the projectionoperator formalism, according to which the system under study is considered to be comprised of a localized region (Q), embedded into a wel . . . . 






Slow Relaxations and NonEquilibrium Dynamics in Classical and Quantum Systems 
Posted on 20150802
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The aim of these lectures, given at the Les Houches Summer School of Physics "Strongly Interacting Quantum Systems Out of Equilibrium", is providing an introduction to several important and interesting facets of out of equilibrium dynamics. In recent years, there has been a boost in the research on quantum systems out of equilibrium. If fifteen years ago hard condensed matter and classical statistical physics remained rather separate research fields, now the focus on several kinds of out of equilibrium dynamics is making them closer . . . . 






Around the boundary of complex dynamics 
Posted on 20150802
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We introduce the exciting field of complex dynamics at an undergraduate level while reviewing, reinforcing, and extending the ideas learned in an typical first course on complex analysis. Julia sets and the famous Mandelbrot set will be introduced and interesting properties of their boundaries will be described. We will conclude with a discussion of problems at the boundary between complex dynamics and other areas, including a nice application of the material we have learned to a problem in astrophysics. . . . . 






Metallic Quantum Ferromagnets 
Posted on 20150718
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This review gives an overview of the quantum phase transition (QPT) problem in metallic ferromagnets, discussing both experimental and theoretical aspects. These QPTs can be classified with respect to the presence and strength of quenched disorder: Clean systems generically show a discontinuous, or firstorder, QPT from the ferromagnetic state to a paramagnetic one as a function of some control parameter, as predicted by theory. Disordered systems are much more complicated, depending on the disorder strength and the distance from the QPT. . . . . 






Statistical Patterns in Written Language 
Posted on 20150711
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Quantitative linguistics has been allowed, in the last few decades, within the admittedly blurry boundaries of the field of complex systems. A growing host of applied mathematicians and statistical physicists devote their efforts to disclose regularities, correlations, patterns, and structural properties of language streams, using techniques borrowed from statistics and information theory. Overall, results can still be categorized as modest, but the prospects are promising: medium and longrange features in the organization of human language  . . . . 






Topics in Stochastic Portfolio Theory 
Posted on 20150710
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This is an overview of the area of Stochastic Portfolio Theory, and can be seen as an updated and extended version of the survey paper by Fernholz and Karatzas. . . . . 






