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Statistics of Extremes and Records in Random Sequences
Rare events such as earthquakes, tsunamis, floods etc do not fortunately occur every day, but when they do, their effects are devastating. These days, such rare events are particularly important to understand to characterize the global warming and climate changes. In addition to natural catastrophes, rare events such as big financial crashes also play a significant role in economy. In the absence of predictive models, the best way forward is to analyse the statistics of these extreme events and draw conclusions from it about the probability of their occurrences. Extreme value statistics (EVS) and the statistics of records in a random sequence are examples of a truly interdisciplinary topic, ...
Statistics of Extremes and Records in Random Sequences
Rare events such as earthquakes, tsunamis, and floods fortunately do not occur every day, but when they do, their effects are devastating. Such rare events are particularly important in understanding and characterizing global warming and climate changes. In addition to natural catastrophes, rare events such as big financial crashes also play a significant role in the economy. In the absence of predictive models, the best way forward is to analyse the statistics of these extreme events and draw conclusions about the probability of their occurrences.Extreme value statistics (EVS) and the statistics of records in a random sequence are examples of a truly interdisciplinary topic, spanning from s...
The Oxford Handbook of Random Matrix Theory
With a foreword by Freeman Dyson, the handbook brings together leading mathematicians and physicists to offer a comprehensive overview of random matrix theory, including a guide to new developments and the diverse range of applications of this approach.In part one, all modern and classical techniques of solving random matrix models are explored, including orthogonal polynomials, exact replicas or supersymmetry.
The Legacy of Albert Einstein
This indispensable volume contains a compendium of articles covering a vast range of topics in physics which were begun or influenced by the works of Albert Einstein: special relativity, quantum theory, statistical physics, condensed matter physics, general relativity, geometry, cosmology and unified field theory. An essay on the societal role of Einstein is included. These articles, written by some of the renowned experts, offer an insider's view of the exciting world of fundamental science. Sample Chapter(s). Chapter 1: Einstein and the Search for Unification (625 KB). Contents: Einstein and the Search for Unification (D Gross); Einstein and Geometry (M Atiyah); String Theory and Einstein'...
Out of the Nuclear Shadow
Outraged conscience, careful argument, poetry and political analysis -- gathered here is the diversity of voices, traditions, and approaches that are weaving themselves into an anti-nuclear and peace movement in India and Pakistan. In these essays, written before, during, and after the May 1998 nuclear explosions, scholars and activists from both countries attempt to understand and challenge the nuclearisation of South Asia. The essays are an act of resistance against governments that see nuclear weapons as a currency of power, as symbols of prestige, as sources of security, as moments of glory in an otherwise dismal contemporary history.The collection includes Mahatma Gandhi's response to t...
First-passage Phenomena and Their Applications
The book contains review articles on recent advances in first-passage phenomena and applications contributed by leading international experts. It is intended for graduate students and researchers who are interested in learning about this intriguing and important topic. Book jacket.
Gravity, Cosmology, and Astrophysics
This book is a compilation of enlightening tutorial essays, showcasing the forefront of research by exceptional female scientists. This invaluable collection provides graduate students and researchers in the field with an engaging and pedagogical introduction to a wide range of compelling topics. Delve into the depths of theoretical and observational realms, exploring intriguing subjects including modified gravity models, quantum gravity, fields in curved space-time, particle dynamics, gravitational waves, and enigmatic black holes. Embracing both the theoretical foundations and the practical applications, this comprehensive edited volume offers an accessible and all-encompassing panorama of gravity and cosmology. Moreover, it shines a much-needed spotlight on the significant contributions made by remarkable women across the globe, fostering recognition and admiration for their indispensable role in shaping this ever-evolving field.
Econophysics and Sociophysics: Recent Progress and Future Directions
This book presents the proceedings from ECONOPHYS-2015, an international workshop held in New Delhi, India, on the interrelated fields of “econophysics” and “sociophysics”, which have emerged from the application of statistical physics to economics and sociology. Leading researchers from varied communities, including economists, sociologists, financial analysts, mathematicians, physicists, statisticians, and others, report on their recent work, discuss topical issues, and review the relevant contemporary literature. A society can be described as a group of people who inhabit the same geographical or social territory and are mutually involved through their shared participation in diff...
Some Unusual Topics in Quantum Mechanics
This second edition of Some Unusual Topics in Quantum Mechanics builds upon the topics covered in the first, with additional chapters that delve deeper into the mathematical foundations of the subject. New topics include Hilbert spaces and unbounded operators, minimum uncertainty states, path integrals in general coordinates, Fock spaces, second quantization, relativistic particle states, and quantum fields. Historical insights are also included, such as a pre-history of matrix mechanics and Pauli's proof of the H-atom spectrum using O(4) symmetry. Finally, readers are introduced to Bell's inequality and the non-locality in quantum mechanics that is revealed through its violation. These topics are rarely covered in introductory textbooks but are crucial to developing a student's interest and deeper understanding of quantum mechanics. This book serves as valuable supporting material for graduate-level core courses on the subject.
