Scattering resonances generalize bound states/eigenvalues for systems in which energy can scatter to infinity. A typical resonance has a rate of oscillation (just as a bound state does) and a rate of decay. Although the notion is intrinsically dynamical, an elegant mathematical formulation comes from considering meromorphic continuations of Green's functions. The poles of these meromorphic continuations capture physical information by identifying the rate of oscillation with the real part of a pole and the rate of decay with its imaginary part. An example from mathematics is given by the zeros of the Riemann zeta function: they are, essentially, the resonances of the Laplacian on the modular surface. The Riemann hypothesis then states that the decay rates for the modular surface are all either or . An example from physics is given by quasi-normal modes of black holes which appear in long-time asymptotics of gravitational waves. This book concentrates mostly on the simplest case of scattering by compactly supported potentials but provides pointers to modern literature where more general cases are studied. It also presents a recent approach to the study of resonances on asymptotically hyperbolic manifolds. The last two chapters are devoted to semiclassical methods in the study of resonances.

The pace of modern life is undoubtedly speeding up, yet this acceleration does not seem to have made us any happier or more content. If acceleration is the problem, then the solution, argues Hartmut Rosa in this major new work, lies in “resonance.” The quality of a human life cannot be measured simply in terms of resources, options, and moments of happiness; instead, we must consider our relationship to, or resonance with, the world. Applying his theory of resonance to many domains of human activity, Rosa describes the full spectrum of ways in which we establish our relationship to the world, from the act of breathing to the adoption of culturally distinct worldviews. He then turns to the realms of concrete experience and action – family and politics, work and sports, religion and art – in which we as late modern subjects seek out resonance. This task is proving ever more difficult as modernity’s logic of escalation is both cause and consequence of a distorted relationship to the world, at individual and collective levels. As Rosa shows, all the great crises of modern society – the environmental crisis, the crisis of democracy, the psychological crisis – can also be understood and analyzed in terms of resonance and our broken relationship to the world around us. Building on his now classic work on acceleration, Rosa’s new book is a major new contribution to the theory of modernity, showing how our problematic relation to the world is at the crux of some of the most pressing issues we face today. This bold renewal of critical theory for our times will be of great interest to students and scholars across the social sciences and humanities.

Nonlinear resonance analysis is a unique mathematical tool that can be used to study resonances in relation to, but independently of, any single area of application. This is the first book to present the theory of nonlinear resonances as a new scientific field, with its own theory, computational methods, applications and open questions. The book includes several worked examples, mostly taken from fluid dynamics, to explain the concepts discussed. Each chapter demonstrates how nonlinear resonance analysis can be applied to real systems, including large-scale phenomena in the Earth's atmosphere and novel wave turbulent regimes, and explains a range of laboratory experiments. The book also contains a detailed description of the latest computer software in the field. It is suitable for graduate students and researchers in nonlinear science and wave turbulence, along with fluid mechanics and number theory. Colour versions of a selection of the figures are available at www.cambridge.org/9780521763608.

Shortlisted, 2021 Memory Studies Association First Book Award The Fact of Resonance returns to the colonial and technological contexts in which theories of the novel developed, seeking in sound an alternative premise for theorizing modernist narrative form. Arguing that narrative theory has been founded on an exclusion of sound, the book poses a missing counterpart to modernism’s question “who speaks?” in the hidden acoustical questions “who hears?” and “who listens?” For Napolin, the experience of reading is undergirded by the sonic. The book captures and enhances literature’s ambient sounds, sounds that are clues to heterogeneous experiences secreted within the acoustical unconscious of texts. The book invents an oblique ear, a subtle and lyrical prose style attuned to picking up sounds no longer hearable. “Resonance” opens upon a new genealogy of modernism, tracking from Joseph Conrad to his interlocutors—Sigmund Freud, Frantz Fanon, W. E. B. Du Bois, William Faulkner, and Chantal Akerman—the racialized, gendered, and colonial implications of acoustical figures that “drift” through and are transformed by narrative worlds in writing, film, and music. A major synthesis of resources gleaned from across the theoretical humanities, the book argues for “resonance” as the traversal of acoustical figures across the spaces of colonial and technological modernity, figures registering and transmitting transformations of “voice” and “sound” across languages, culture, and modalities of hearing. We have not yet sufficiently attended to relays between sound, narrative, and the unconscious that are crucial to the ideological entailments and figural strategies of transnational, transatlantic, and transpacific modernism. The breadth of the book’s engagements will make it of interest not only to students and scholars of modernist fiction and sound studies, but to anyone interested in contemporary critical theory.

This introductory text presents the basic aspects and most important features of various types of resonances and anti-resonances in dynamical systems. In particular, for each resonance, it covers the theoretical concepts, illustrates them with case studies, and reviews the available information on mechanisms, characterization, numerical simulations, experimental realizations, possible quantum analogues, applications and significant advances made over the years. Resonances are one of the most fundamental phenomena exhibited by nonlinear systems and refer to specific realizations of maximum response of a system due to the ability of that system to store and transfer energy received from an external forcing source. Resonances are of particular importance in physical, engineering and biological systems - they can prove to be advantageous in many applications, while leading to instability and even disasters in others. The book is self-contained, providing the details of mathematical derivations and techniques involved in numerical simulations. Though primarily intended for graduate students, it can also be considered a reference book for any researcher interested in the dynamics of resonant phenomena.

Who, what, and where perceives, and how? What are the sedimentations, inscriptions, and axiologies of animal, human, and machinic perception/s? What are their perceptibilities? Deleuze uses the word ‘visibilities’ to indicate that visual perception isn’t just a physiological given but cues operations productive of new assemblages. Perceptibilities are, by analogy, spatio-temporal, geolocative, kinaesthetic, audio-visual, and haptic operations that are always already memory. In the case of strong inscriptions, they are also epigenetic events. In physics, resonance is the tendency of a system to vibrate with increasing amplitudes at certain frequencies of excitation. In cybernetics and in theories of technology, it refers to systems’ feedback. In Native science, resonance denotes the axiology of positions and events. It’s a form of multi-species perception that emphasises emergent directionality and protean mnemonics. This transdisciplinary volume brings together key theorists and practitioners from media theory, Native science, bio-media and sound art, philosophy, art his- tory, and design informatics to examine: a) the becoming-technique of animal– human–machinic perceptibilities; and b) micro-perceptions that lie beneath the threshold of known perceptions yet create energetic vibrations. The volume shows distributed perception to be a key notion in addressing the emergence and peristence of plant, animal, human, and machine relations.