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This book expounds three special kinds of matrices that are of physical interest, centering on physical examples. Stochastic matrices describe dynamical systems of many different types, involving (or not) phenomena like transience, dissipation, ergodicity, nonequilibrium, and hypersensitivity to initial conditions. The main characteristic is growth by agglomeration, as in glass formation. Circulants are the building blocks of elementary Fourier analysis and provide a natural gateway to quantum mechanics and noncommutative geometry. Bell polynomials offer closed expressions for many formulas concerning Lie algebra invariants, differential geometry and real gases, and their matrices are instrumental in the study of chaotic mappings.
This book highlights the latest advances, innovations, and applications in the field of structural and geotechnical engineering, as presented by leading international researchers and engineers at the 2nd Eurasian Conference on OpenSees—Open System for Earthquake Engineering Simulation (EOS), held in Turin, Italy, on July 7–8, 2022. The conference was meant to give an overview on the latest developments made with the OpenSees framework as well as to present research and practical outcomes in which OpenSees plays an important role. Conference topics cover cutting-edge applications of OpenSees in the field of structural and geotechnical engineering, the development of new elements and materials, and also the development of new pre- and post-processors. The contributions, which were selected by means of a rigorous international peer-review process, present a wealth of exciting ideas that will open novel research directions and foster multidisciplinary collaboration among different specialists.
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With contributions by numerous experts