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The process of realizing the ground state of some typical (frustrated) quantum many-body systems, starting from the ‘disordered’ or excited states, can be formally mapped to the search of solutions for computationally hard problems. The dynamics through the critical point, in between, are therefore extremely crucial. In the context of such computational optimization problems, the dynamics (of rapid quenching or slow annealing), while tuning the appropriate elds or uctuations, in particular while crossing the quantum critical point, are extremely intriguing and are being investigated these days intensively. Several successful methods and tricks are now well established. This volume gives ...
It is a real pleasure to introduce the excellent papers contributed by leading experts to our Research Topic proposing various network models of dementia spread. The focus is strongly on disease-specific mathematical modeling rather than general graph theory. The emerging field of network neuroscience visualizes the brain as a graph consisting of nodes representing regions and edges as connections between them. This complex network supports efficient communication along neural projections, but also, unfortunately, the transmission and progression of Alzheimer’s and other neurodegenerative disorders. If we could know the brain’s network organization, could we then predict how degenerative processes might develop on this network? As these papers demonstrate, the answer is, increasingly, yes.
Motor control has established itself as an area of scientific research characterized by a multi-disciplinary approach. Scientists working in the area of control of voluntary movements come from different backgrounds including but not limited to physiology, physics, psychology, mathematics, neurology, physical therapy, computer science, robotics, and engineering. One of the factors slowing progress in the area has been the lack of communication among researchers representing all these disciplines. A major objective of the current book is to overcome this deficiency and to promote cooperation and mutual understanding among researchers addressing different aspects of the complex phenomenon of m...
Nature’s evolution has led to the introduction of highly efficient biological mechanisms. Imitating these mechanisms offers an enormous potential for the improvement of our day to day life. Ideally, by bio-inspiration we can get a better view of nature’s capability while studying its models and adapting it for our benefit. This book takes us into the interesting world of biomimetics and describes various arenas where the technology is applied. The 25 chapters covered in this book disclose recent advances and new ideas in promoting the mechanism and applications of biomimetics.