## About this series

Mechanics and mathematics have been complementary partners since Newton’s time, and the history of science shows much evidence of the beneficial influence of these disciplines on each other. Driven by increasingly elaborate modern technological applications, the symbolic relationship between mathematics and mechanics is continually growing. Mechanics is understood here in the most general sense of the word, including - besides its standard interpretation - relevant physical, biological, and information-theoretical phenomena, such as electromagnetic, thermal, and quantum effects; bio- and nano-mechanics; information geometry; multiscale modelling; neural networks; and computation, optimization, and control of complex systems. Topics with multi-disciplinary range, such as duality, complementarity, and symmetry in sciences and mathematics, are of particular interest.
*Advances in Mechanics and Mathematics* (AMMA) is a series intending to promote multidisciplinary study by providing a platform for the publication of interdisciplinary content with rapid dissemination of monographs, graduate texts, handbooks, and edited volumes on the state-of-the-art research in the broad area of modern mechanics and applied mathematics. All contributions are peer reviewed to guarantee the highest scientific standards. Monographs place an emphasis on creativity, novelty, and innovativeness in the field; handbooks and edited volumes provide comprehensive surveys of the state-of-the-art in particular subjects; graduate texts may feature a combination of exposition and electronic supplementary material.

The series is addressed to applied mathematicians, engineers, and scientists, including advanced students at universities and in industry.

Series EditorsDavid Gao, Federation University AustraliaTudor Ratiu, Shanghai Jiao Tong University

Editorial BoardAntony Bloch, University of Michigan, USADynamical systems, control theory, optimization

John Gough, Aberystwyth University, UK Quantum Structures, Information & Control

Darryl D. Holm, Imperial College London, UK Stochastic mechanics, fluid dynamics, Mathematics of Planet Earth

Peter Olver (University of Minnesota, USA Symmetry and Lie groups, PDEs, calculus of variations, integrable systems, elasticity, quantum mechanics, computer vision, differential geometry, invariant theory, geometric numerical methods

Juan-Pablo Ortega, University of St. Gallen, SwitzerlandGeometric mechanics, machine learning, high-dimensional statistical modeling, reservoir computing

Genevieve Raugel, CNRS and University Paris-Sud, Orsay, FranceNonlinear analysis, hydrodynamics, dynamical systems Jan Philip Solovej, University of Copenhagen, DenmarkQuantum mechanics, mathematical physics

Michael Zgurovsky, Igor Sikorsky Kyiv Polytechnic Institute, UkraineNonlinear analysis, system analysis, system mathematics

Jun Zhang, University of Michigan, USACognition & Cognitive Neuroscience, Machine Learning Artificial Intelligence

Enrique Zuazua (Universidad Autónoma de Madrid and DeustoTech, Bilbao, SpainNonlinear PDEs, control theory, numerical analysis