Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This work offers an introduction to the topological dynamics of geodesic and horodesic flows for the quotients of a tangent sphere bundle of the Poincaré half-plane model by a Fuchsian group T.

Geodesics (Mathematics) --- Trajectories (Mechanics) --- Curves --- Mechanics --- Geometry, Differential --- Global analysis (Mathematics) --- Mathematics

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book describes the underlying ideas and modern developments of Regge theory, confronting the theory with quantum chromodynamics and a huge variety of experimental data. It covers forty years of research and provides a unique insight into the theory and its phenomenological development. The authors review experiments that suggest the existence of a soft pomeron, and give a detailed discussion of attempts at describing this through nonperturbative quantum chromodynamics. They suggest that a second, hard pomeron is responsible for the dramatic rise in energy observed in deep inelastic lepton scattering. The two-pomeron hypothesis is applied to a variety of interactions and is compared and contrasted with perturbative quantum chromodynamics, as well as with the dipole approach. This book will provide a valuable reference for experimental particle physicists all over the world. It is also suitable for graduate courses in particle physics, high-energy scattering, QCD and the standard model.

Regge theory. --- Pomerons. --- Quantum chromodynamics. --- Chromodynamics, Quantum --- QCD (Nuclear physics) --- Particles (Nuclear physics) --- Quantum electrodynamics --- Pomeranchuk particles --- Pomeranchuk poles --- Pomeranchuk trajectories --- Angular momentum (Nuclear physics)

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This volume describes the Pomeron, an object of crucial importance in very high energy particle physics. Starting with a general description of the Pomeron within the framework of Regge theory, the emergence of the Pomeron within scalar field theory is discussed, providing a natural foundation on which to develop the more realistic case of QCD. The reggeization of the gluon is demonstrated and used to build the Pomeron of perturbative QCD. The dynamical nature of the Pomeron and its role in small-x deep inelastic scattering and in diffractive scattering is also examined in detail. The volume concludes with a study of the colour dipole approach to high energy scattering and the explicit role of unitarity corrections. This book will be of interest to theoretical and experimental particle physicists, and applied mathematicians. First published in 1997, this title has been reissued as an Open Access publication on Cambridge Core.

Regge theory. --- Pomerons. --- Quantum chromodynamics. --- Perturbation (Quantum dynamics) --- Perturbation theory, Quantum mechanical --- Perturbation (Mathematics) --- Quantum theory --- Chromodynamics, Quantum --- QCD (Nuclear physics) --- Particles (Nuclear physics) --- Quantum electrodynamics --- Pomeranchuk particles --- Pomeranchuk poles --- Pomeranchuk trajectories --- Angular momentum (Nuclear physics)

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Speech dynamics refer to the temporal characteristics in all stages of the human speech communication process. This speech starts with the formation of a linguistic message in a speaker's brain and ends with the arrival of the message in a listener's brain. Given the intricacy of the dynamic speech process and its fundamental importance in human communication, this monograph is intended to provide a comprehensive material on mathematical models of speech dynamics and to address the following issues: How do we make sense of the complex speech process in terms of its functional role of speech communication? How do we quantify the special role of speech timing? How do the dynamics relate to the variability of speech that has often been said to seriously hamper automatic speech recognition? How do we put the dynamic process of speech into a quantitative form to enable detailed analyses? And finally, how can we incorporate the knowledge of speech dynamics into computerized speech analysis and recognition algorithms? The answers to all these questions require building and applying computational models for the dynamic speech process.

Oral communication --- Speech --- Automatic speech recognition. --- Mathematical models. --- Mechanical speech recognizer --- Speech recognition, Automatic --- Talking --- Oral transmission --- Speech communication --- Verbal communication --- Articulatory trajectories. --- Coarticulation. --- Discretizing hidden dynamics. --- Dynamic Bayesian network. --- Formant tracking. --- Generative modeling. --- Speech acoustics. --- Speech dynamics. --- Vocal tract resonance. --- Pattern recognition systems --- Perceptrons --- Speech, Intelligibility of --- Speech perception --- Speech processing systems --- Language and languages --- Phonetics --- Voice --- Communication