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Dynamical systems on networks : a tutorial
This volume is a tutorial for the study of dynamical systems on networks. It discusses both methodology and models, including spreading models for social and biological contagions. The authors focus especially on ℓ́ℓsimpleℓ́ℓ situations that are analytically tractable, because they are insightful and provide useful springboards for the study of more complicated scenarios. This tutoria…
- Edition
- -
- ISBN/ISSN
- 9783319266411
- Collation
- xiv, 80 pages
- Series Title
- -
- Call Number
- 530.1
The Emerging Quantum
This monograph presents the latest findings from a long-term research project intended to identify the physics behind Quantum Mechanics. A fundamental theory for quantum mechanics is constructed from first physical principles, revealing quantization as an emergent phenomenon arising from a deeper stochastic process. As such, it offers the vibrant community working on the foundations of quantum …
- Edition
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- ISBN/ISSN
- 978-3-319-07892-2
- Collation
- XIII, 366
- Series Title
- -
- Call Number
- -
Lyapunov Exponents of Linear Cocycles: Continuity via Large Deviations
The aim of this monograph is to present a general method of proving continuity of Lyapunov exponents of linear cocycles. The method uses an inductive procedure based on a general, geometric version of the Avalanche Principle. The main assumption required by this method is the availability of appropriate large deviation type estimates for quantities related to the iterates of the base and fiber …
- Edition
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- ISBN/ISSN
- 978-94-6239-124-6
- Collation
- -
- Series Title
- -
- Call Number
- -
Neoclassical Physics
In this introductory text, physics concepts are introduced as a means of understanding experimental observations, not as a sequential list of facts to be memorized. The book is structured around the key scientific discoveries that led to much of our current understanding of the universe. Numerous exercises are provided that utilize Mathematica software to help students explore how the language …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-10646-5
- Collation
- XXV, 375
- Series Title
- Undergraduate Lecture Notes in Physics
- Call Number
- -
Neoclassical Theory of Electromagnetic Interactions: A Single Theory for Macr…
In this monograph, the authors present their recently developed theory of electromagnetic interactions. This neoclassical approach extends the classical electromagnetic theory down to atomic scales and allows the explanation of various non-classical phenomena in the same framework.While the classical Maxwell–Lorentz electromagnetism theory succeeds in describing the physical reality at macros…
- Edition
- 1
- ISBN/ISSN
- 978-1-4471-7282-6
- Collation
- XXIII, 696
- Series Title
- Theoretical and Mathematical Physics
- Call Number
- -
Linear Fractional Diffusion-Wave Equation for Scientists and Engineers
This book systematically presents solutions to the linear time-fractional diffusion-wave equation. It introduces the integral transform technique and discusses the properties of the Mittag-Leffler, Wright, and Mainardi functions that appear in the solutions. The time-nonlocal dependence between the flux and the gradient of the transported quantity with the “long-tail” power kernel results i…
- Edition
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- ISBN/ISSN
- 978-3-319-17954-4
- Collation
- -
- Series Title
- -
- Call Number
- -
Advances in Dynamical Systems and Control
Focused on recent advances, this book covers theoretical foundations as well as various applications. It presents modern mathematical modeling approaches to the qualitative and numerical analysis of solutions for complex engineering problems in physics, mechanics, biochemistry, geophysics, biology and climatology. Contributions by an international team of respected authors bridge the gap betwee…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-40673-2
- Collation
- XXII, 471
- Series Title
- Studies in Systems, Decision and Control
- Call Number
- 530.15
Extensions of Positive Definite Functions Applications and Their Harmonic An…
This monograph deals with the mathematics of extending given partial data-sets obtained from experiments; Experimentalists frequently gather spectral data when the observed data is limited, e.g., by the precision of instruments; or by other limiting external factors. Here the limited information is a restriction, and the extensions take the form of full positive definite function on some pres…
- Edition
- -
- ISBN/ISSN
- 978-3-319-39780-1
- Collation
- 39 b/w illustrations, 9 illustrations in colour
- Series Title
- -
- Call Number
- -
Lectures on Random Interfaces
Interfaces are created to separate two distinct phases in a situation in which phase coexistence occurs. This book discusses randomly fluctuating interfaces in several different settings and from several points of view: discrete/continuum, microscopic/macroscopic, and static/dynamic theories. The following four topics in particular are dealt with in the book. Assuming that the interface is rep…
- Edition
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- ISBN/ISSN
- 978-981-10-0849-8
- Collation
- -
- Series Title
- -
- Call Number
- -
Nonequilibrium Quantum Field Theory
Research into the nonequilibrium processes of quantum many body systems, and the statistical mechanical properties of interacting quantum fields, constitutes a fast developing and widely applicable area of theoretical physics.
- Edition
- -
- ISBN/ISSN
- 9781009290036
- Collation
- -
- Series Title
- -
- Call Number
- T 530.15 CAL n
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