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This volume presents a collection of papers covering applications from a wide range of systems with infinitely many degrees of freedom studied using techniques from stochastic and infinite dimensional analysis, e.g. Feynman path integrals, the statistical mechanics of polymer chains, complex networks, and quantum field theory. Systems of infinitely many degrees of freedom create their particular mathematical challenges which have been addressed by different mathematical theories, namely in the theories of stochastic processes, Malliavin calculus, and especially white noise analysis. These proceedings are inspired by a conference held on the occasion of Prof. Ludwig Streit’s 75th birthday and celebrate his pioneering and ongoing work in these fields.

Mathematics. --- Applied mathematics. --- Engineering mathematics. --- Probabilities. --- Probability Theory and Stochastic Processes. --- Applications of Mathematics. --- Stochastic analysis --- Degree of freedom --- Dimensional analysis --- Degree of variance --- Freedom, Degree of --- Variance, Degree of --- Physical measurements --- Analysis of variance --- Mechanics --- Phase rule and equilibrium --- Statistics --- Distribution (Probability theory. --- Math --- Science --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Engineering --- Engineering analysis --- Mathematical analysis --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk

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A spherical actuator is a novel electric device that can achieve 2/3-DOF rotational motions in a single joint with electric power input. It has advantages such as compact structure, low mass/moment of inertia, fast response and non-singularities within the workspace. It has promising applications in robotics, automobile, manufacturing, medicine and aerospace industry. This is the first monograph that introduces the research on spherical actuators systematically.  It broadens the scope of actuators from conventional single-axis to multi-axis, which will help both beginners and researchers to enhance their knowledge on electromagnetic actuators. Generic analytic modeling methods for magnetic field and torque output are developed, which can be applied to the development of other electromagnetic actuators. A parametric design methodology that allows fast analysis and design of spherical actuators for various applications is proposed. A novel non-contact high-precision 3-DOF spherical motion sensing methodology is developed and evaluated with experiments, which shows that it can achieve one order of magnitude higher precision than conventional methods. The technologies of nondimensionalization and normalization are introduced into magnetic field analysis the first time, and a benchmark database is established for the reference of other researches on spherical actuators. Indexed in the Book Citation Index– Science (BKCI-S).

Actuators -- Design and construction. --- Actuators. --- Electromagnetic -- Design and construction. --- Actuators --- Magneto-electric machines --- Degree of freedom --- Mechanical Engineering --- Engineering & Applied Sciences --- Mechanical Engineering - General --- Design and construction --- Magneto-electric machines. --- Degree of freedom. --- Design and construction. --- Degree of variance --- Freedom, Degree of --- Variance, Degree of --- Electromagnetic machines --- Engineering. --- Mechanical engineering. --- Control engineering. --- Robotics. --- Mechatronics. --- Electrical engineering. --- Control, Robotics, Mechatronics. --- Electrical Engineering. --- Mechanical Engineering. --- Analysis of variance --- Mechanics --- Phase rule and equilibrium --- Statistics --- Electric apparatus and appliances --- Electric generators --- Electromagnetism --- Electromagnets --- Automatic control --- Computer engineering. --- Engineering, Mechanical --- Engineering --- Machinery --- Steam engineering --- Computers --- Electric engineering --- Mechanical engineering --- Microelectronics --- Microelectromechanical systems --- Automation --- Machine theory --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Programmable controllers