Almost a century ago, harmonic analysis entered a (still continuing) Golden Age, with the emergence of many great masters throughout Europe. They created a wealth of profound analytic methods, to be successfully exploited and further developed by succeeding generations. This flourishing of harmonic analysis is today as lively as ever, as the papers presented here demonstrate. In addition to its own ongoing internal development and its basic role in other areas of mathematics, physics and chemistry, financial analysis, medicine, and biological signal processing, harmonic analysis has made...
Almost a century ago, harmonic analysis entered a (still continuing) Golden Age, with the emergence of many great masters throughout Europe. They c...
The NATO Advanced Study Institute 2000 was held in Cascais, a small town located in a renowned beach resort area, near Lisbon. The aim of the Meeting was to provide an overview and to cover the recent devel- opments in some of the most important topics in Particle Physics and Cosmology, including Neutrino Physics, CP violation, B-Physics, Baryo- genesis, Dark Matter, Inflation, Supersymmetry, Unified Theories, Large Extra-Di ensions and M-theory. In the NATO ASI 2000, we had the priv- ilege to have among the lecturers, some of the most prominent physicists working in the fields of Particle...
The NATO Advanced Study Institute 2000 was held in Cascais, a small town located in a renowned beach resort area, near Lisbon. The aim of the Meeting ...
Integrable quantum field theories and integrable lattice models have been studied for several decades, but during the last few years new ideas have emerged that have considerably changed the topic. The first group of papers published here is concerned with integrable structures of quantum lattice models related to quantum group symmetries. The second group deals with the description of integrable structures in two-dimensional quantum field theories, especially boundary problems, thermodynamic Bethe ansatz and form factor problems. Finally, a major group of papers is concerned with the purely...
Integrable quantum field theories and integrable lattice models have been studied for several decades, but during the last few years new ideas have em...
An up-to-date report on the current status of important research topics in algebraic geometry and its applications, such as computational algebra and geometry, singularity theory algorithms, numerical solutions of polynomial systems, coding theory, communication networks, and computer vision. Contributions on more fundamental aspects of algebraic geometry include expositions related to counting points on varieties over finite fields, Mori theory, linear systems, Abelian varieties, vector bundles on singular curves, degenerations of surfaces, and mirror symmetry of Calabi-Yau manifolds.
An up-to-date report on the current status of important research topics in algebraic geometry and its applications, such as computational algebra and ...
Hermann Weyl considered value distribution theory to be the greatest mathematical achievement of the first half of the 20th century. The present lectures show that this beautiful theory is still growing. An important tool is complex approximation and some of the lectures are devoted to this topic. Harmonic approximation started to flourish astonishingly rapidly towards the end of the 20th century, and the latest development, including approximation manifolds, are presented here.
Since de Branges confirmed the Bieberbach conjecture, the primary problem in geometric function theory is...
Hermann Weyl considered value distribution theory to be the greatest mathematical achievement of the first half of the 20th century. The present le...
A fundamental, profound review of the key issues relating to the early universe and the physical processes that occurred in it. The interplay between cosmic microwave background radiation, large scale structure, and the dark matter problem are stressed, with a central focus on the crucial issue of the phase transitions in the early universe and their observable consequences: baryon symmetry, baryogenesis and cosmological fluctuations. There is an interplay between cosmology, statistical physics and particle physics in studying these problems, both at the theoretical and the experimental...
A fundamental, profound review of the key issues relating to the early universe and the physical processes that occurred in it. The interplay between ...
Non-accelerator particle physicists, especially those studying neutrino oscillation experiments, will read with profit the in-depth discussions of new results and their interpretations. new guidelines are also set out for new developments in this and related fields. Discussions are presented of neutrino oscillations, neutrino astronomy, high energy cosmic rays, gravitational waves, magnetic monopoles and dark matter. The future large-scale research projects discussed include the experiments on long baseline neutrino beams from CERN to Gran Sasso and Fermilab to the Soudan mine; large...
Non-accelerator particle physicists, especially those studying neutrino oscillation experiments, will read with profit the in-depth discussions of new...
Several state-of-the-art applications of molten salts are presented, such as metal-molten salt systems, room temperature glass formation, and room temperature melts. Several recent examples of applications highlight the importance of molten salts in various industries (batteries, pyrochemical reprocessing of nuclear fuel, synthesis and catalysis). The basic concepts of the structure, dynamics, electrochemistry, interfacial and thermodynamic properties are detailed and relevant experimental methods described. Such fundamental concepts are essential for an in-depth understanding of the...
Several state-of-the-art applications of molten salts are presented, such as metal-molten salt systems, room temperature glass formation, and room ...
In this XVII Course of the International School of Cosmology and Gravitation devoted to "ADVANCES IN THE INTERPLAY BETWEEN QUANTUM AND GRAVITY PHYSICS" we have considered different aspects of the influence of gravity on quantum systems. In order to achieve this aim, in many lectures, seminars and discussions we have strengthened the interplay between gravity and quantum systems starting from the situation in the early universe based on astrophysical observations, up to the earthly based experiments with atom interferometry for probing the structure of space-time. Thus we have had timely...
In this XVII Course of the International School of Cosmology and Gravitation devoted to "ADVANCES IN THE INTERPLAY BETWEEN QUANTUM AND GRAVITY PHYSICS...
As society comes to rely increasingly on software for its welfare and prosperity there is an urgent need to create systems in which it can trust. Experience has shown that confidence can only come from a more profound understanding of the issues, which in turn can come only if it is based on logically sound foundations. This volume contains contributions from leading researchers in the critical disciplines of computing and information science, mathematics, logic, and complexity. All contributions are self-contained, aiming at comprehensibility as well as comprehensiveness. The volume also...
As society comes to rely increasingly on software for its welfare and prosperity there is an urgent need to create systems in which it can trust. Expe...
