Cybernetics and systems theory

This volume mainly deals with the dynamics of finitely valued sequences, and more specifically, of sequences generated by substitutions and automata.

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.

Stochastic Energetics by now commonly designates the emerging field that bridges the gap between stochastic dynamical processes and thermodynamics.

The renormalization group (RG) has nowadays achieved the status of a meta-theory, which is a theory about theories.

This monograph is intended to present the fundamentals of the theory of abstract parabolic evolution equations and to show how to apply to various nonlinear dif- sion equations and systems arising in science.

This book on recent investigations of the dynamics of celestial bodies in the solar and extra-Solar System is based on the elaborated lecture notes of a thematic school on the topic, held as a result of cooperation between the SYRTE Department of Paris Observatory and the section of astronomy of the Vienna University.

Our everyday life is in?

But all the clocks in the city Began to whirr and chime: 'O let not Time deceive you, You cannot conquer Time.

This book is an extended version of lectures given by the ?

Quantum trajectory theory is largely employed in theoretical quantum optics and quantum open system theory and is closely related to the conceptual formalism of quantum mechanics (quantum measurement theory).

In the modern world of gigantic datasets, which scientists and practioners of all fields of learning are confronted with, the availability of robust, scalable and easy-to-use methods for pattern recognition and data mining are of paramount importance, so as to be able to cope with the avalanche of data in a meaningful way.

This lecture notes in physics volume mainly focuses on the semi classical and qu- tum aspects of percolation and breakdown in disordered, composite or granular s- tems.

The book offers valuable insights into research related to Industry 4.

Hard spheres and related objects (hard disks and mixtures of hard systems) are paradigmatic systems: indeed, they have served as a basis for the theoretical and numerical development of a number of fields, such as general liquids and fluids, amorphous solids, liquid crystals, colloids and granular matter, to name but a few.

The application to Biology of the methodologies developed in Physics is attracting an increasing interest from the scientific community.

For this printing of R.

This volume on spin glasses, structural glasses and biological macromolecules collects pedagogically written lecture notes of internationally renowned - perts from eight countries, who work on di?

Nanoscale miniaturization and femtosecond laser-pulse spectroscopy require a quantum mechanical description of the carrier kinetics that goes beyond the conventional Boltzmann theory.

For most cases of interest, exact solutions to nonlinear equations describing stochastic dynamical systems are not available.

The apparent contradiction of the results of the Fermi-Pasta-Ulam experiment conducted in 1953 and 1954 with the hypothesis that essentially any nonlinearity would lead to a system exhibiting ergodic behaviour has become known as the Fermi-Pasta-Ulam Problem.

Stochastic control theory is a relatively young branch of mathematics.

Reinvigorated by advances and insights, in particular from the active fields of quantum information and computing, the quantum theory of irreversible processes has recently attracted growing attention.

Over the years enormous effort was invested in proving ergodicity, but for a number of reasons, con?

Chaos theory plays an important role in modern physics and related sciences, but -, the most important results so far have been obtained in the study of gravitational systems applied to celestial mechanics.

Inspired by the general configuration characteristics of automatic production lines, the author discusses the modelisation of important sectors of a factory.

This monograph compares classical and quantum dynamics for unstable (chaotic) systems.

This book is composed of two texts, by R.

In this monograph the recursion method is presented as a method for the analysis of dynamical properties of quantum and classical many-body systems in thermal equilibrium.

The concept of phase space plays a decisive role in the study of the transition from classical to quantum physics.

This volume contains the text of four sets of lecturesdelivered at the third session of the Summer Schoolorganized by C.

This book presents in a unified way the mathematical theory of well-posedness in optimization.

Molecularly small confined phases play an important role in many scientific and engineering disciplines.

The history of critical phenomena goes back to the year 1869 when Andrews discovered the critical point of carbon dioxide, located at about 31(deg)C and 73 atmospheres pressure.

In general, combustion is a spatially three-dimensional, highly complex physi- co-chemical process oftransient nature.

The problem of designing a cost-efficient network thatsurvives the failure of one or more nodes or edges of thenetwork is critical to modern telecommunicationsengineering.

The study of complementarity problems is now an interestingmathematical subject with many applications in optimization,game theory, stochastic optimal control, engineering,economics etc.

Particles with fractional statistics interpolating betweenbosons and fermions have attracted considerable interestfrom mathematical physicists.

Astronomy as well as molecular physics describe non-relativistic motion by an interaction of the same form: By Newton's respectively by Coulomb's potential.

The book is devoted to the study of distributed control problems governed by various nonsmooth state systems.

Entropy inequalities, correlation functions, couplingsbetween stochastic processes are powerful techniques whichhave been extensively used to give arigorous foundation tothe theory of complex, many component systems and to itsmany applications in a variety of fields as physics,biology, population dynamics, economics, .

Nonlinear science is by now a well established field of research at the interface of many traditional disciplines and draws on the theoretical concepts developed in physics and mathematics.

The fundamental problem in control engineering is to providerobust performance to uncertain plants.

Block pulse functions have been studied and appliedextensively in the past fifteen years as a basic set offunctions for signal characterizations in systems scienceand control.

Dynamics of Topological Magnetic Solitons gives a theoretical and experimental review of the dynamics of high-speed domain walls and Bloch lines.