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The leading text in the field, Animal Behavior shows how researchers use scientific logic to study the underlying mechanisms and evolutionary bases of behavior, now with a streamlined presentation and enhanced eBook.Be introduced to a rich array of fascinating examples of animal behavior and uses a vivid narrative voice that conveys the excitement of the subject. The upcoming 12th edition's enhanced eBook will make the subject come alive with numerous video and audio clips that will be presented in-line as students read. The enhanced eBook will also include 50 new interactive figures. Another objective instructors have is to help students master concepts and then demonstrate that mastery. To assist instructors with this goal, the 12th edition enhanced eBook will incorporate all-new inline self-assessments, as well as gradable chapter assessment quizzes.Recognise the rigorous scientific methodology involved in animal behavior research with an all-new "Behind the Scenes" feature, where each chapter will highlight a single research paper and look in-depth at how the research was conducted, taking a balanced view of the ultimate and proximate causes underlying how and why animals behave as they do. Rubenstein is renowned for its empirical presentation of the ultimate causes of animal behavior, and this edition will do an even better job of integrating concepts across levels of scale at the proximate level. This need will be addressed by including an even greater focus on Tinbergen's "Four Questions" and by including more integrative studies that cross levels of analysis. A 10% streamline across the content, a redesign of the chapter summaries and the addition of synthetic sections that link topics across the text and media resources will help you traverse Animal Behaviour with ease.NEW TO THIS EDITION:Enhanced integration of concepts across levels of scale: Greater focus on Tinbergen's "Four Questions" & Inclusion of more integrative studies that cross levels of analysis.Streamlined by approximately 10%, primarily by removal of extraneous examples.Added more proximate explanations and integrative examples.Re-designed chapter summaries.Synthetic sections that link topics across the text and media resources will help students get through the information overload.Enhanced eBook edition with numerous video and audio clips presented in-line as students read, 50 new interactive figures, inline self-assessments, lab manual, and discussion questions.This title is available as an enhanced eBook. Visit VitalSource for more information or to purchase.
(source: Nielsen Book Data)

• 1. Macroscopic connectivity as the essential characteristic of heterogeneous systems
• 2. Percolation theory: Classical and poor man's
• 3. Extensions of the classical percolation model
• 4. Characterization of porous media and materials
• 5. Connectivity of fracture and fault networks
• 6. Earthquakes, critical phenomena, and percolation
• 7. Flow and transport properties of porous materials
• 8. Mixing and dispersion in flow through porous media
• 9. Multiphase fluid flow in porous media
• 10. Percolation in evolving media
• 11. Vector percolation and rigidity of materials
• 12. Transport properties of composite materials
• 13. Rheology and elastic properties of network glasses, branched polymers, and gels
• 14. Vibrational density of states of heterogeneous materials
• 15. Hopping conductivity of heterogeneous materials
• 16. Applications of invasion percolation
• 17. Percolation in random graphs and complex networks
• 18. Percolation in biological systems
• 19. Percolation theory, ecology, hydrology, and geochemistry
• 20. Explosive percolation and its applications
• 21. Directed percolation and its applications
• 22. Percolation in large-scale systems
• References
• Index

The first edition of this book was published in 1994. Since then considerable progress has been made in both theoretical developments of percolation theory, and in its applications. The 2nd edition of this book is a response to such developments. Not only all the chapters of the 1st edition have been completely rewritten and updated all the way to 2022, but also 8 new chapters have been added that describe extensive new applications, including biological materials, networks and graphs, direcrted percolation, earthquakes, geochemical processes, and large-scale real world problems, from spread of technology to ad-hoc mobile networks--back cover

• 1. Bayesian scientific computing and inverse problems
• 2. Linear algebra
• 3. Continuous and discrete multivariate distributions
• 4. Introduction to sampling
• 5. The praise of ignorance: randomness as lack of certainty
• 6. Enter subject: construction of priors
• 7. Posterior densities, ill-conditioning, and classical regularization
• 8. Conditional Gaussian densities
• 9. Iterative linear solvers and priorconditioners
• 10. Hierarchical models and Bayesian sparsity
• 11. Sampling: the real thing
• 12. Dynamic methods and learning from the past
• 13. Bayesian filtering for Gaussian densities
• References
• Index

The once esoteric idea of embedding scientific computing into a probabilistic framework, mostly along the lines of the Bayesian paradigm, has recently enjoyed wide popularity and found its way into numerous applications. This book provides an insider's view of how to combine two mature fields, scientific computing and Bayesian inference, into a powerful language leveraging the capabilities of both components for computational efficiency, high resolution power and uncertainty quantification ability. The impact of Bayesian scientific computing has been particularly significant in the area of computational inverse problems where the data are often scarce or of low quality, but some characteristics of the unknown solution may be available a priori. The ability to combine the flexibility of the Bayesian probabilistic framework with efficient numerical methods has contributed to the popularity of Bayesian inversion, with the prior distribution being the counterpart of classical regularization. However, the interplay between Bayesian inference and numerical analysis is much richer than providing an alternative way to regularize inverse problems, as demonstrated by the discussion of time dependent problems, iterative methods, and sparsity promoting priors in this book. The quantification of uncertainty in computed solutions and model predictions is another area where Bayesian scientific computing plays a critical role. This book demonstrates that Bayesian inference and scientific computing have much more in common than what one may expect, and gradually builds a natural interface between these two areas--back cover

"In this monograph, for elliptic systems with block structure in the upper half-space and t-independent coefficients, the authors settle the study of boundary value problems by proving compatible well-posedness of Dirichlet, regularity and Neumann problems in optimal ranges of exponents.In this monograph, for elliptic systems with block structure in the upper half-space and t-independent coefficients, the authors settle the study of boundary value problems by proving compatible well-posedness of Dirichlet, regularity and Neumann problems in optimal ranges of exponents. Prior to this work, only the two-dimensional situation was fully understood. In higher dimensions, partial results for existence in smaller ranges of exponents and for a subclass of such systems had been established. The presented uniqueness results are completely new, and the authors also elucidate optimal ranges for problems with fractional regularity data.The first part of the monograph, which can be read independently, provides optimal ranges of exponents for functional calculus and adapted Hardy spaces for the associated boundary operator. Methods use and improve, with new results, all the machinery developed over the last two decades to study such problems: the Kato square root estimates and Riesz transforms, Hardy spaces associated to operators, off-diagonal estimates, non-tangential estimates and square functions, and abstract layer potentials to replace fundamental solutions in the absence of local regularity of solutions."-- Provided by publisher.

• Independent random variables with independent sum and difference
• Characterization of probability distributions through the independence of linear forms
• Characterization of probability distributions through the symmetry of the conditional distribution of one linear form given another
• Characterization theorems on the field of p-adic numbers
• Miscellaneous characterization theorems

"It is well known that if two independent identically distributed random variables are Gaussian, then their sum and difference are also independent. It turns out that only Gaussian random variables have such property. This statement, known as the famous Kac-Bernstein theorem, is a typical example of a so-called characterization theorem. Characterization theorems in mathematical statistics are statements in which the description of possible distributions of random variables follows from properties of some functions of these random variables. The first results in this area are associated with famous 20th century mathematicians such as G. Pólya, M. Kac, S. N. Bernstein, and Yu. V. Linnik. By now, the corresponding theory on the real line has basically been constructed. The problem of extending the classical characterization theorems to various algebraic structures has been actively studied in recent decades. The purpose of this book is to provide a comprehensive and self-contained overview of the current state of the theory of characterization problems on locally compact Abelian groups. The book will be useful to everyone with some familiarity of abstract harmonic analysis who is interested in probability distributions and functional equations on groups" -- Provided by publisher

• Preface
• Chern-Connes-Karoubi character ismorphisms and algebras of symbols pseudodifferential operators / A. Baldare, M. Benameur, and V. Nistor
• One Perrot's index cocycles / J. Block, H. Higson, and J. Sanchez Jr.
• The Chern-Baum-Connes assembly map for Lie groupoids / P. Carrillo Rouse --Hochschild homology, trace map 9-cycles / A. Connes and C. Consani --Cyclic theory and the pericyclic category / A. Connes and C. Consani
• The image of Bott periodicity in cyclic homology / J. Cuntz
• Applications of topological cycle homology to algebraic K-theory / B. I. Dundas --Algebraic K-theory and generalized stable homotopy theory / D. Gepner --Cyclic cohomology and the extended Heisenberg calculus of Epstein and Melrose / A. Gorokhovsky and E. Van Erp
• Topological cyclic homology and the Fargues-Fontaine curve / L. Hesselholt
• Hopf cyclic cohomology and beyond / M. Khalkhali and I. Shapiro
• The Hochschild cohomology of uniform Roe algebras / M Lorentz --Quantum differentiabiltiy - the analytical perspective / E. McDonald, F. Sukochev, and X. Xiong
• Local cyclic homology for nonarchimedean Banach Algebras / R. Meyer and D. Mukherjee
• On the van Est analogy in Hopf cyclic cohomology / H. Moscovici
• Primary and secondary invariants of Dirac operators on G-proper manifolds / P. Piazza and X. Tang --Localization in Hochschild homology / M. J. Pflaum
• Cyclic homology and group actions / R. Ponge
• Cyclic cocycles and quantized pairings in materials science / E. Prodan
• Periodic cyclic homology of crossed Products / M. Puschnigg
• Trace expansions and equivariant trances on an algebra of Fourier integral operators on Rn / A. Savin and E. Schrohe
• Cartan motion group and orbital integrals / Y. Song and X. Tang
• On noncommutative crystalline cohomology / B. Tsygan --Cyclic cocycles and one-loop corrections in the spectral action / T.D. H. Nuland and and W.D. Van Suijlekom
• l1-higher index, l1-higher rho invariant and cyclic cohomology / J. Wang, Z. Xie, and G. Yu

• Preface
• Acknowledgements
• Notation and Conventions
• Chapter 1. Algebraic Preliminaries
• Chapter 2. Non-Archimedean Fields
• Chapter 3. Basic Properties of Drinfeld Modules
• Chapter 4. Drinfeld Modules over Finite Fields
• Chapter 5. Analytic Theory of Drinfeld Modules
• Chapter 6. Drinfeld Modules over Local Fields
• Chapter 7. Drinfeld Modules over Global Fields
• Appendix A. Drinfeld modules for general function rings
• Appendix B. Notes on exercises
• Bibliography
• Index.

"This textbook offers an introduction to the theory of Drinfeld modules, mathematical objects that are fundamental to modern number theory. After the first two chapters conveniently recalling prerequisites from abstract algebra and non-Archimedean analysis, Chapter 3 introduces Drinfeld modules and the key notions of isogenies and torsion points. Over the next four chapters, Drinfeld modules are studied in settings of various fields of arithmetic importance, culminating in the case of global fields. Throughout, numerous number-theoretic applications are discussed, and the analogies between classical and function field arithmetic are emphasized. Drinfeld Modules guides readers from the basics to research topics in function field arithmetic, assuming only familiarity with graduate-level abstract algebra as prerequisite. With exercises of varying difficulty included in each section, the book is designed to be used as the primary textbook for a graduate course on the topic, and may also provide a supplementary reference for courses in algebraic number theory, elliptic curves, and related fields. Furthermore, researchers in algebra and number theory will appreciate it as a self-contained reference on the topic."--Back cover.

• 1. Introduction to dynamical systems
• 2. Topological equivalence, bifurcations, and structural stability of dynamical systems
• 3. One-parameter bifurcations of equilibria in continuous-time dynamical system
• 4. One-parameter bifurcations of fixed points in discrete-time dynamical systems
• 5. Bifurcations of equilibria and periodic orbits in n-dimensional dynamical systems
• 6. Bifurcations of orbits homoclinic and heteroclinic to hyperbolic equilibria
• 7. Other one-parameter bifurcations in continuous-time dynamical systems
• 8. Two-parameter bifurcations of equilibria in continuous-time dynamical systems
• 9. Two-parameter bifurcations of fixed points in discrete-time dynamical systems
• 10. Numerical analysis of bifurcations
• Appendix A: basic notions from from algebra, analysis, and geometry
• References
• Index.

This is a book on nonlinear dynamical systems and their bifurcations under parameter variation. It provides a reader with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems. Special attention is given to efficient numerical implementations of the developed techniques. Several examples from recent research papers are used as illustrations. The book is designed for advanced undergraduate or graduate students in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the previous editions, while updating the context to incorporate recent theoretical and software developments and modern techniques for bifurcation analysis--back cover.