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11 Ashcroft, Peter The Statistical Physics of Fixation and Equilibration in Individual-Based Models I09637 2016 eBook  
12 Strathearn, Aidan Modelling Non-Markovian Quantum Systems Using Tensor Networks I09121 2020 eBook  
13 Cufaro Petroni, Nicola Probability and Stochastic Processes for Physicists I09108 2020 eBook  
14 Tarpin, Malo Non-perturbative Renormalization Group Approach to Some Out-of-Equilibrium Systems I09095 2020 eBook  
15 Skiadas, Christos H Fractional Dynamics, Anomalous Transport and Plasma Science I08971 2018 eBook  
16 Lawrence, Andy Probability in Physics I08777 2019 eBook  
17 Rahimi Tabar, M. Reza Analysis and Data-Based Reconstruction of Complex Nonlinear Dynamical Systems I08774 2019 eBook  
18 Accardi, Luigi Quantum Theory and Its Stochastic Limit I11590 2002 eBook  
19 Bolivar, A. O Quantum-Classical Correspondence I11572 2004 eBook  
20 Bricmont, J Chance in Physics I11452 2001 eBook  
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11.    
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TitleThe Statistical Physics of Fixation and Equilibration in Individual-Based Models
Author(s)Ashcroft, Peter
PublicationCham, Springer International Publishing, 2016.
DescriptionXV, 164 p. 63 illus., 13 illus. in color : online resource
Abstract NoteThis thesis explores several interdisciplinary topics at the border of theoretical physics and biology, presenting results that demonstrate the power of methods from statistical physics when applied to neighbouring disciplines. From birth-death processes in switching environments to discussions on the meaning of quasi-potential landscapes in high-dimensional spaces, this thesis is a shining example of the efficacy of interdisciplinary research. The fields advanced in this work include game theory, the dynamics of cancer, and invasion of mutants in resident populations, as well as general contributions to the theory of stochastic processes. The background material provides an intuitive introduction to the theory and applications of stochastic population dynamics, and the use of techniques from statistical physics in their analysis. The thesis then builds on these foundations to address problems motivated by biological phenomena
ISBN,Price9783319412139
Keyword(s)1. BIOINFORMATICS 2. BIOMATHEMATICS 3. Cancer Research 4. Data-driven Science, Modeling and Theory Building 5. EBOOK 6. EBOOK - SPRINGER 7. ECONOPHYSICS 8. GAME THEORY 9. Game Theory, Economics, Social and Behav. Sciences 10. Mathematical and Computational Biology 11. PROBABILITIES 12. Probability Theory and Stochastic Processes 13. Sociophysics
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12.     
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TitleModelling Non-Markovian Quantum Systems Using Tensor Networks
Author(s)Strathearn, Aidan
PublicationCham, Springer International Publishing, 2020.
DescriptionXV, 103 p. 64 illus., 15 illus. in color : online resource
Abstract NoteThis thesis presents a revolutionary technique for modelling the dynamics of a quantum system that is strongly coupled to its immediate environment. This is a challenging but timely problem. In particular it is relevant for modelling decoherence in devices such as quantum information processors, and how quantum information moves between spatially separated parts of a quantum system. The key feature of this work is a novel way to represent the dynamics of general open quantum systems as tensor networks, a result which has connections with the Feynman operator calculus and process tensor approaches to quantum mechanics. The tensor network methodology developed here has proven to be extremely powerful: For many situations it may be the most efficient way of calculating open quantum dynamics. This work is abounds with new ideas and invention, and is likely to have a very significant impact on future generations of physicists
ISBN,Price9783030549756
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. MATHEMATICAL PHYSICS 4. PROBABILITIES 5. Probability Theory and Stochastic Processes 6. QUANTUM PHYSICS 7. Statistics and Computing/Statistics Programs 8. Statistics?? 9. Theoretical, Mathematical and Computational Physics
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13.     
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TitleProbability and Stochastic Processes for Physicists
Author(s)Cufaro Petroni, Nicola
PublicationCham, Springer International Publishing, 2020.
DescriptionXIII, 373 p. 51 illus., 43 illus. in color : online resource
Abstract NoteThis book seeks to bridge the gap between the parlance, the models, and even the notations used by physicists and those used by mathematicians when it comes to the topic of probability and stochastic processes. The opening four chapters elucidate the basic concepts of probability, including probability spaces and measures, random variables, and limit theorems. Here, the focus is mainly on models and ideas rather than the mathematical tools. The discussion of limit theorems serves as a gateway to extensive coverage of the theory of stochastic processes, including, for example, stationarity and ergodicity, Poisson and Wiener processes and their trajectories, other Markov processes, jump-diffusion processes, stochastic calculus, and stochastic differential equations. All these conceptual tools then converge in a dynamical theory of Brownian motion that compares the Einstein???Smoluchowski and Ornstein???Uhlenbeck approaches, highlighting the most important ideas that finally led to a connection between the Schr??dinger equation and diffusion processes along the lines of Nelson???s stochastic mechanics. A series of appendices cover particular details and calculations, and offer concise treatments of particular thought-provoking topics
ISBN,Price9783030484088
Keyword(s)1. DYNAMICAL SYSTEMS 2. Dynamical Systems and Ergodic Theory 3. DYNAMICS 4. EBOOK 5. EBOOK - SPRINGER 6. ERGODIC THEORY 7. Mathematical Methods in Physics 8. MATHEMATICAL PHYSICS 9. PHYSICS 10. PROBABILITIES 11. Probability Theory and Stochastic Processes 12. QUANTUM PHYSICS 13. Theoretical, Mathematical and Computational Physics 14. VIBRATION 15. Vibration, Dynamical Systems, Control
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14.     
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TitleNon-perturbative Renormalization Group Approach to Some Out-of-Equilibrium Systems : Diffusive Epidemic Process and Fully Developed Turbulence
Author(s)Tarpin, Malo
PublicationCham, Springer International Publishing, 2020.
DescriptionXV, 207 p. 21 illus : online resource
Abstract NoteThis thesis presents the application of non-perturbative, or functional, renormalization group to study the physics of critical stationary states in systems out-of-equilibrium. Two different systems are thereby studied. The first system is the diffusive epidemic process, a stochastic process which models the propagation of an epidemic within a population. This model exhibits a phase transition peculiar to out-of-equilibrium, between a stationary state where the epidemic is extinct and one where it survives. The present study helps to clarify subtle issues about the underlying symmetries of this process and the possible universality classes of its phase transition. The second system is fully developed homogeneous isotropic and incompressible turbulence. The stationary state of this driven-dissipative system shows an energy cascade whose phenomenology is complex, with partial scale-invariance, intertwined with what is called intermittency. In this work, analytical expressions for the space-time dependence of multi-point correlation functions of the turbulent state in 2- and 3-D are derived. This result is noteworthy in that it does not rely on phenomenological input except from the Navier-Stokes equation and that it becomes exact in the physically relevant limit of large wave-numbers. The obtained correlation functions show how scale invariance is broken in a subtle way, related to intermittency corrections
ISBN,Price9783030398712
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. EBOOK 3. EBOOK - SPRINGER 4. Phase transitions (Statistical physics) 5. Phase Transitions and Multiphase Systems 6. PROBABILITIES 7. Probability Theory and Stochastic Processes 8. STATISTICAL PHYSICS 9. Statistical Physics and Dynamical Systems
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15.     
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TitleFractional Dynamics, Anomalous Transport and Plasma Science : Lectures from CHAOS2017
Author(s)Skiadas, Christos H
PublicationCham, Springer International Publishing, 2018.
DescriptionXI, 201 p. 57 illus., 33 illus. in color : online resource
Abstract NoteThis book collects interrelated lectures on fractal dynamics, anomalous transport and various historical and modern aspects of plasma sciences and technology. The origins of plasma science in connection to electricity and electric charges and devices leading to arc plasma are explored in the first contribution by Jean-Marc Ginoux and Thomas Cuff. The second important historic connection with plasmas was magnetism and the magnetron. Victor J. Law and Denis P. Dowling, in the second contribution, review the history of the magnetron based on the development of thermionic diode valves and related devices. In the third chapter, Christos H Skiadas and Charilaos Skiadas present and apply diffusion theory and solution strategies to a number of stochastic processes of interest. Anomalous diffusion by the fractional Fokker-Planck equation and L??vy stable processes are studied by Johan Anderson and Sara Moradi in the fourth contribution. They consider the motion of charged particles in a 3-dimensional magnetic field in the presence of linear friction and of a stochastic electric field. Analysis of low-frequency instabilities in a low-temperature magnetized plasma is presented by Dan-Gheorghe Dimitriu, Maricel Agop in the fifth chapter. The authors refer to experimental results of the Innsbruck Q-machine and provide an analytical formulation of the related theory. In chapter six, Stefan Irimiciuc, Dan-Gheorghe Dimitriu, Maricel Agop propose a theoretical model to explain the dynamics of charged particles in a plasma discharge with a strong flux of electrons from one plasma structure to another. The theory and applications of fractional derivatives in many-particle disordered large systems are explored by Z.Z. Alisultanov, A.M. Agalarov, A.A. Potapov, G.B. Ragimkhanov. In chapter eight, Maricel Agop, Alina Gavrilut?? and Gabriel Crumpei explore the motion of physical systems that take place on continuous but non-differentiable curves (fractal curves). Finally in the last chapter S.L. Cherkas and V.L. Kalashnikov consider the perturbations of a plasma consisting of photons, baryons, and electrons in a linearly expanding (Milne-like) universe taking into account the metric tensor and vacuum perturbations.
ISBN,Price9783030044831
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. APPLIED MATHEMATICS 3. EBOOK 4. EBOOK - SPRINGER 5. ENGINEERING MATHEMATICS 6. Mathematical and Computational Engineering 7. PLASMA (IONIZED GASES) 8. PLASMA PHYSICS 9. PROBABILITIES 10. Probability Theory and Stochastic Processes 11. STATISTICAL PHYSICS
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16.     
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TitleProbability in Physics : An Introductory Guide
Author(s)Lawrence, Andy
PublicationCham, Springer International Publishing, 2019.
DescriptionXXIV, 347 p. 79 illus., 13 illus. in color : online resource
Abstract NoteThis textbook presents an introduction to the use of probability in physics, treating introductory ideas of both statistical physics and of statistical inference, as well the importance of probability in information theory, quantum mechanics, and stochastic processes, in a unified manner. The book also presents a harmonised view of frequentist and Bayesian approaches to inference, emphasising their complementary value. The aim is to steer a middle course between the "cookbook" style and an overly dry mathematical statistics style. The treatment is driven by real physics examples throughout, but developed with a level of mathematical clarity and rigour appropriate to mid-career physics undergraduates. Exercises and solutions are included
ISBN,Price9783030045449
Keyword(s)1. ASTRONOMY 2. Astronomy, Astrophysics and Cosmology 3. ASTROPHYSICS 4. COMPLEX SYSTEMS 5. DYNAMICAL SYSTEMS 6. EBOOK 7. EBOOK - SPRINGER 8. Mathematical Methods in Physics 9. PHYSICS 10. PROBABILITIES 11. Probability Theory and Stochastic Processes 12. STATISTICAL PHYSICS 13. Statistical Physics and Dynamical Systems 14. Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences 15. Statistics??
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17.     
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TitleAnalysis and Data-Based Reconstruction of Complex Nonlinear Dynamical Systems : Using the Methods of Stochastic Processes
Author(s)Rahimi Tabar, M. Reza
PublicationCham, Springer International Publishing, 2019.
DescriptionXVIII, 280 p. 41 illus., 22 illus. in color : online resource
Abstract NoteThis book focuses on a central question in the field of complex systems: Given a fluctuating (in time or space), uni- or multi-variant sequentially measured set of experimental data (even noisy data), how should one analyse non-parametrically the data, assess underlying trends, uncover characteristics of the fluctuations (including diffusion and jump contributions), and construct a stochastic evolution equation? Here, the term "non-parametrically" exemplifies that all the functions and parameters of the constructed stochastic evolution equation can be determined directly from the measured data. The book provides an overview of methods that have been developed for the analysis of fluctuating time series and of spatially disordered structures. Thanks to its feasibility and simplicity, it has been successfully applied to fluctuating time series and spatially disordered structures of complex systems studied in scientific fields such as physics, astrophysics, meteorology, earth science, engineering, finance, medicine and the neurosciences, and has led to a number of important results. The book also includes the numerical and analytical approaches to the analyses of complex time series that are most common in the physical and natural sciences. Further, it is self-contained and readily accessible to students, scientists, and researchers who are familiar with traditional methods of mathematics, such as ordinary, and partial differential equations. The codes for analysing continuous time series are available in an R package developed by the research group Turbulence, Wind energy and Stochastic (TWiSt) at the Carl von Ossietzky University of Oldenburg under the supervision of Prof. Dr. Joachim Peinke. This package makes it possible to extract the (stochastic) evolution equation underlying a set of data or measurements
ISBN,Price9783030184728
Keyword(s)1. COMPLEX SYSTEMS 2. COMPLEXITY 3. COMPUTATIONAL COMPLEXITY 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. ECONOMIC THEORY 8. Economic Theory/Quantitative Economics/Mathematical Methods 9. Neurosciences 10. PROBABILITIES 11. Probability Theory and Stochastic Processes 12. STATISTICAL PHYSICS 13. SYSTEM THEORY
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18.     
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TitleQuantum Theory and Its Stochastic Limit
Author(s)Accardi, Luigi;Lu, Yun Gang;Volovich, Igor
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2002.
DescriptionXX, 474 p : online resource
Abstract NoteThe subject of this book is a new mathematical technique, the stochastic limit developed for solving nonlinear problems in quantum theory involving systems with infinitely many degrees of freedom (typically quantum fields or gases in the thermodynamic limit). This technique is condensed into some easily applied rules (called "stochastic golden rules") which allow to single out the dominating contributions to the dynamical evolution of systems in regimes involving long times and small effects. In the stochastic limit the original Hamiltonian theory is approximated using a new Hamiltonian theory which is singular. These singular Hamiltonians still define a unitary evolution and the new equations give much more insight into the relevant physical phenomena than the original Hamiltonian equations. Especially, one can explicitly compute multi-time correlations (e.g. photon statistics) or coherent vectors, which are beyond the reach of typical asymptotic techniques as well as deduce in the Hamiltonian framework the widely used stochastic Schr??dinger equation and the master equation. This monograph is well suited as a textbook in the emerging field of stochastic limit techniques in quantum theory
ISBN,Price9783662049297
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. PROBABILITIES 4. Probability Theory and Stochastic Processes 5. QUANTUM COMPUTERS 6. Quantum Information Technology, Spintronics 7. QUANTUM PHYSICS 8. SPINTRONICS
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19.     
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TitleQuantum-Classical Correspondence : Dynamical Quantization and the Classical Limit
Author(s)Bolivar, A. O
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2004.
DescriptionXIII, 190 p : online resource
Abstract NoteAt what level of physical existence does "quantum behavior" begin? How does it develop from classical mechanics? This book addresses these questions and thereby sheds light on fundamental conceptual problems of quantum mechanics. Quantum-Classical Correspondence elucidates the problem by developing a procedure for quantizing stochastic systems (e.g. Brownian systems) described by Fokker-Planck equations. The logical consistency of the scheme is then verified by taking the classical limit of the equations of motion and corresponding physical quantities. Perhaps equally important, conceptual problems concerning the relationship between classical and quantum physics are identified and discussed. Physical scientists will find this an accessible entr??e to an intriguing and thorny issue at the core of modern physics
ISBN,Price9783662096499
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. PROBABILITIES 6. Probability Theory and Stochastic Processes 7. QUANTUM PHYSICS 8. STATISTICAL PHYSICS 9. Statistical Physics and Dynamical Systems
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20.    
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TitleChance in Physics : Foundations and Perspectives
Author(s)Bricmont, J;D??rr, D;Galavotti, M.C;Ghirardi, G;Petruccione, F;Zanghi, Nino
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2001.
DescriptionXII, 292 p : online resource
Abstract NoteThis selection of reviews and papers is intended to stimulate renewed reflection on the fundamental and practical aspects of probability in physics. While putting emphasis on conceptual aspects in the foundations of statistical and quantum mechanics, the book deals with the philosophy of probability in its interrelation with mathematics and physics in general. Addressing graduate students and researchers in physics and mathematics togehter with philosophers of science, the contributions avoid cumbersome technicalities in order to make the book worthwhile reading for nonspecialists and specialists alike
ISBN,Price9783540449669
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. PHILOSOPHY 6. Philosophy, general 7. PROBABILITIES 8. Probability Theory and Stochastic Processes 9. QUANTUM PHYSICS 10. STATISTICAL PHYSICS 11. Statistical Physics and Dynamical Systems
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