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A certain curious feature of random objects, introduced by the author as “super concentration,” and two related topics, “chaos” and “multiple valleys,” are highlighted in this book. Although super concentration has established itself as a recognized feature in a number of areas of probability theory in the last twenty years (under a variety of names), the author was the first to discover and explore its connections with chaos and multiple valleys. He achieves a substantial degree of simplification and clarity in the presentation of these findings by using the spectral approach. Understanding the fluctuations of random objects is one of the major goals of probability theory and a ...
This book addresses the emerging body of literature on the study of rare events in random graphs and networks. For example, what does a random graph look like if by chance it has far more triangles than expected? Until recently, probability theory offered no tools to help answer such questions. Important advances have been made in the last few years, employing tools from the newly developed theory of graph limits. This work represents the first book-length treatment of this area, while also exploring the related area of exponential random graphs. All required results from analysis, combinatorics, graph theory and classical large deviations theory are developed from scratch, making the text self-contained and doing away with the need to look up external references. Further, the book is written in a format and style that are accessible for beginning graduate students in mathematics and statistics.
What does it mean to read queerly? The Edinburgh Companion to Queer Reading upholds intersectional thinking to recognise the wide currency and appeal of queer studies for a new generation of scholars, activists, students and interested allies. Its four interconnecting parts - 'transing queer readings', 'reading queer ecologies', 'queer reading as practice' and 'reading queer futures' - speak to, and help to critique and foreground, expansive queer epistemologies. Contributors evocatively explore the relationships between queerness and genders, embodiments, race, narrative, methodology, history, literature, media and art. Bringing together emerging and established queer theorists, this timely collection demonstrates how germane queer readings, theories and companions are to the livelihood of interdisciplinary research and humanistic inquiry in the 2020s.
This is the first book to cover the theory of noise sensitivity of Boolean functions with particular emphasis on critical percolation.
This thesis presents valuable contributions to several aspects of the rapidly growing field of gravitational wave astrophysics. The potential sources of gravitational waves in globular clusters are analyzed using sophisticated dynamics simulations involving intermediate mass black holes and including, for the first time, high-order post-Newtonian corrections to the equations of motion. The thesis further demonstrates our ability to accurately measure the parameters of the sources involved in intermediate-mass-ratio inspirals of stellar-mass compact objects into hundred-solar-mass black holes. Lastly, it proposes new techniques for the computationally efficient inference on gravitational waves. On 14 September 2015, the LIGO observatory reported the first direct detection of gravitational waves from the merger of a pair of black holes. For a brief fraction of a second, the power emitted by this merger exceeded the combined output of all stars in the visible universe. This has since been followed by another confirmed detection and a third candidate binary black hole merger. These detections heralded the birth of an exciting new field: gravitational-wave astrophysics.
Eunoia is the shortest English word containing all five main vowel graphemes, meaning "well mind" or "beautiful thinking. This anthology contains micro-fiction and short write ups that are beautifully penned by well minded authors, thus the name EUNOIA.
‘Swings of Life’ is an anthology of inspirational poems and prose written by Mahima Hasija, a 20-year-old girl. In this book, the author talks about the various phases and how we enjoy these swings of life. Despite obstacles and hurdles, most of us find the strength within us to overcome the challenges and that’s the beauty. The writer unwraps her thoughts and emotions and writes about innumerable experiences that we face every day as our lives swing back and forth between ups and downs as we traverse this journey.
A lively and erudite introduction for readers with a background in undergraduate mathematics but no previous knowledge of physics.