Spectral Measures And Dynamics Typical Behaviors

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Spectral Measures And Dynamics Typical Behaviors

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Author : Moacir Aloisio
language : en
Publisher: Springer Nature
Release Date : 2023-10-27

Spectral Measures And Dynamics Typical Behaviors written by Moacir Aloisio and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-27 with Science categories.

This book convenes and deepens generic results about spectral measures, many of them available so far in scattered literature. It starts with classic topics such as Wiener lemma, Strichartz inequality, and the basics of fractal dimensions of measures, progressing to more advanced material, some of them developed by the own authors. A fundamental concept to the mathematical theory of quantum mechanics, the spectral measure relates to the components of the quantum state concerning the energy levels of the Hamiltonian operator and, on the other hand, to the dynamics of such state. However, these correspondences are not immediate, with many nuances and subtleties discovered in recent years. A valuable example of such subtleties is found in the so-called “Wonderland theorem” first published by B. Simon in 1995. It shows that, for some metric space of self-adjoint operators, the set of operators whose spectral measures are singular continuous is a generic set (which, for some, is exotic). Recent works have revealed that, on top of singular continuity, there are other generic properties of spectral measures. These properties are usually associated with a number of different notions of generalized dimensions, upper and lower dimensions, with dynamical implications in quantum mechanics, ergodicity of dynamical systems, and evolution semigroups. All this opens ways to new and instigating avenues of research. Graduate students with a specific interest in the spectral properties of spectral measure are the primary target audience for this work, while researchers benefit from a selection of important results, many of them presented in the book format for the first time.

Dissipative Optical Solitons

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Author : Mário F. S. Ferreira
language : en
Publisher: Springer Nature
Release Date : 2022-09-23

Dissipative Optical Solitons written by Mário F. S. Ferreira and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-23 with Science categories.

This book introduces the basic concept of a dissipative soliton, before going to explore recent theoretical and experimental results for various classes of dissipative optical solitons, high-energy dissipative solitons and their applications, and mode-locked fiber lasers. A soliton is a concept which describes various physical phenomena ranging from solitary waves forming on water to ultrashort optical pulses propagating in an optical fiber. While solitons are usually attributed to integrability, in recent years the notion of a soliton has been extended to various systems which are not necessarily integrable. Until now, the main emphasis has been given to well-known conservative soliton systems, but new avenues of inquiry were opened when physicists realized that solitary waves did indeed exist in a wide range of non-integrable and non-conservative systems leading to the concept of so-called dissipative optical solitons. Dissipative optical solitons have many unique properties which differ from those of their conservative counterparts. For example, except for very few cases, they form zero-parameter families and their properties are completely determined by the external parameters of the optical system. They can exist indefinitely in time, as long as these parameters stay constant. These features of dissipative solitons are highly desirable for several applications, such as in-line regeneration of optical data streams and generation of stable trains of laser pulses by mode-locked cavities.

Personalized Precision Medicine In Autism Spectrum Related Disorders

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Author : Lidia V. Gabis
language : en
Publisher: Frontiers Media SA
Release Date : 2022-02-15

Personalized Precision Medicine In Autism Spectrum Related Disorders written by Lidia V. Gabis and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-15 with Medical categories.

Nonlinear Analysis In Neuroscience And Behavioral Research

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Author : Tobias A. Mattei
language : en
Publisher: Frontiers Media SA
Release Date : 2016-10-31

Nonlinear Analysis In Neuroscience And Behavioral Research written by Tobias A. Mattei and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-31 with Neurosciences. Biological psychiatry. Neuropsychiatry categories.

Although nonlinear dynamics have been mastered by physicists and mathematicians for a long time (as most physical systems are inherently nonlinear in nature), the recent successful application of nonlinear methods to modeling and predicting several evolutionary, ecological, physiological, and biochemical processes has generated great interest and enthusiasm among researchers in computational neuroscience and cognitive psychology. Additionally, in the last years it has been demonstrated that nonlinear analysis can be successfully used to model not only basic cellular and molecular data but also complex cognitive processes and behavioral interactions. The theoretical features of nonlinear systems (such unstable periodic orbits, period-doubling bifurcations and phase space dynamics) have already been successfully applied by several research groups to analyze the behavior of a variety of neuronal and cognitive processes. Additionally the concept of strange attractors has lead to a new understanding of information processing which considers higher cognitive functions (such as language, attention, memory and decision making) as complex systems emerging from the dynamic interaction between parallel streams of information flowing between highly interconnected neuronal clusters organized in a widely distributed circuit and modulated by key central nodes. Furthermore, the paradigm of self-organization derived from the nonlinear dynamics theory has offered an interesting account of the phenomenon of emergence of new complex cognitive structures from random and non-deterministic patterns, similarly to what has been previously observed in nonlinear studies of fluid dynamics. Finally, the challenges of coupling massive amount of data related to brain function generated from new research fields in experimental neuroscience (such as magnetoencephalography, optogenetics and single-cell intra-operative recordings of neuronal activity) have generated the necessity of new research strategies which incorporate complex pattern analysis as an important feature of their algorithms. Up to now nonlinear dynamics has already been successfully employed to model both basic single and multiple neurons activity (such as single-cell firing patterns, neural networks synchronization, autonomic activity, electroencephalographic measurements, and noise modulation in the cerebellum), as well as higher cognitive functions and complex psychiatric disorders. Similarly, previous experimental studies have suggested that several cognitive functions can be successfully modeled with basis on the transient activity of large-scale brain networks in the presence of noise. Such studies have demonstrated that it is possible to represent typical decision-making paradigms of neuroeconomics by dynamic models governed by ordinary differential equations with a finite number of possibilities at the decision points and basic heuristic rules which incorporate variable degrees of uncertainty. This e-book has include frontline research in computational neuroscience and cognitive psychology involving applications of nonlinear analysis, especially regarding the representation and modeling of complex neural and cognitive systems. Several experts teams around the world have provided frontline theoretical and experimental contributions (as well as reviews, perspectives and commentaries) in the fields of nonlinear modeling of cognitive systems, chaotic dynamics in computational neuroscience, fractal analysis of biological brain data, nonlinear dynamics in neural networks research, nonlinear and fuzzy logics in complex neural systems, nonlinear analysis of psychiatric disorders and dynamic modeling of sensorimotor coordination. Rather than a comprehensive compilation of the possible topics in neuroscience and cognitive research to which non-linear may be used, this e-book intends to provide some illustrative examples of the broad range of

The Boundaries Of Consciousness Neurobiology And Neuropathology

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Author : Steven Laureys
language : en
Publisher: Elsevier
Release Date : 2006-08-24

The Boundaries Of Consciousness Neurobiology And Neuropathology written by Steven Laureys and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-24 with Medical categories.

Consciousness is one of the most significant scientific problems today. Renewed interest in the nature of consciousness - a phenomenon long considered not to be scientifically explorable, as well as increasingly widespread availability of multimodal functional brain imaging techniques (EEG, ERP, MEG, fMRI and PET), now offer the possibility of detailed, integrated exploration of the neural, behavioral, and computational correlates of consciousness. The present volume aims to confront the latest theoretical insights in the scientific study of human consciousness with the most recent behavioral, neuroimaging, electrophysiological, pharmacological and neuropathological data on brain function in altered states of consciousness such as: brain death, coma, vegetative state, minimally conscious state, locked-in syndrome, dementia, epilepsy, schizophrenia, hysteria, general anesthesia, sleep, hypnosis, and hallucinations. The interest of this is threefold. First, patients with altered states of consciousness continue to represent a major clinical problem in terms of clinical assessment of consciousness and daily management. Second, the exploration of brain function in altered states of consciousness represents a unique lesional approach to the scientific study of consciousness and adds to the worldwide effort to identify the "neural correlate of consciousness". Third, new scientific insights in this field have major ethical and social implications regarding our care for these patients.

Synchronization Swarming And Emergent Behaviors In Complex Networks And Neuroscience

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Author : Andrea Duggento
language : en
Publisher: Frontiers Media SA
Release Date : 2022-03-24

Synchronization Swarming And Emergent Behaviors In Complex Networks And Neuroscience written by Andrea Duggento and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-24 with Science categories.

Low Temperature Physics

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Author : Y. Takano
language : en
Publisher: American Institute of Physics
Release Date : 2006-11-22

Low Temperature Physics written by Y. Takano and has been published by American Institute of Physics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-22 with Science categories.

This book represents recent cutting-edge developments in low temperature physics, reported at one of the largest international conferences in physics. The subjects covered are superconductivity, magnetism, quantum gases, quantum liquids and solids, electronic properties of solids, low-temperature experimental techniques, cryogenics, and applications.

Handbook Of The Autonomic Nervous System In Health And Disease

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Author : Liana Bolis
language : en
Publisher: CRC Press
Release Date : 2002-10-29

Handbook Of The Autonomic Nervous System In Health And Disease written by Liana Bolis and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-10-29 with Medical categories.

Examines the role of the ANS in the maintenance and control of bodily homeostasis, as well as in the pathogenesis, pathophysiology, and treatment of disorders such as cardiovascular disease, hypertension, asthma, arrhythmia, diabetes, ischemia, myocardial infarction, urinary retention, and depression.

Autism Spectrum Disorder New Insights Into Molecular Pathophysiology And Therapeutic Development

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Author : Junyu Xu
language : en
Publisher: Frontiers Media SA
Release Date : 2020-09-18

Autism Spectrum Disorder New Insights Into Molecular Pathophysiology And Therapeutic Development written by Junyu Xu and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-18 with Medical categories.

This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact.

Nanophotonics With Diamond And Silicon Carbide For Quantum Technologies

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Author : Mario Agio
language : en
Publisher: Elsevier
Release Date : 2025-04-18

Nanophotonics With Diamond And Silicon Carbide For Quantum Technologies written by Mario Agio and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-18 with Technology & Engineering categories.

Nanophotonics with Diamond and Silicon Carbide for Quantum Technologies provides an in-depth overview of key developments in diamond and silicon carbide photonics to enable spin-photon interfaces, quantum computing, quantum imaging, and quantum sensing. Written by world experts, chapters discuss nanophotonics effects (atomic size point center properties in the materials), fabrication of photonic components and integrated photonics circuits, photonics and nanophotonics enabling quantum sensing, and quantum information and networks via spin-photon interface. This book is a valuable resource to researchers and professionals interested on the fundamentals, trends, and diamond and silicon carbide applications in the quantum technology industry. - Discusses experimental and computational methods needed to approach the fabrication and design of photonics components in diamond and silicon carbide - Describes characterization techniques to test photonics properties and the monolithic integration of atomic point defects within materials' nano- or micro-photonics cavity - Features the methodologies for the fabrication of photonics components, their integration towards wafer scale integrated photonics circuits, and nanophotonic with quantum functionalities