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Random Matrices, Frobenius Eigenvalues, and Monodromy

Random Matrices, Frobenius Eigenvalues, and Monodromy

Nicholas M. Katz; Peter Sarnak

AMERICAN MATHEMATICAL SOCIETY
1999
nidottu
The main topic of this book is the deep relation between the spacings between zeros of zeta and $L$-functions and spacings between eigenvalues of random elements of large compact classical groups. The authors draw upon many disparate areas of mathematics from algebraic geometry, moduli spaces, mondromy, equidistribution, and the Weil conjectures to probability theory and the compact classical groups.
Random Riches

Random Riches

Routledge
2016
sidottu
Gambling is a fascinating subject which for many centuries has attracted public interest. Yet, despite its ubiquity, gambling (or gaming) leads a marginal existence within the boundaries of scholarly research. Providing a longue duree survey, this volume promotes a historical understanding of the subject enriched with a diverse academic approach that draws upon sociology, economics and psychology. Each chapter in the collection is the work of a renowned scholar with a long standing interest in gambling research. The contributions offer historical analyses of the medieval origins of the 'Gambler State' and of mathematical risk calculation. They cast light on the roles of different stakeholders in gambling including the playing public, business, and the state. They provide a controversial discussion of the alleged 'pathological' nature of chance games and the reasons for either regulating or freeing them from state control. Last but not least, two authors deal with country-by-country specifics in gaming cultures and gambling markets. Taken as a whole, the chapters in this volume chart the development of European gambling culture from the medieval to modern times. In so doing it provides essential context for both historical and current debates about the nature of gambling and lotteries, addiction to gambling, poverty and social degradation on the fringes of the welfare state.
Random Heterogeneous Materials

Random Heterogeneous Materials

Salvatore Torquato

Springer-Verlag New York Inc.
2013
nidottu
The interdisciplinary subject of random heterogeneous materials has experienced remarkable growth since the publication of the well-known monograph Statistical Con­ tinuum Theories by Beran ( 1968). Many of these advances, especially those concerning the statistical characterization of the microstructure and its effect on the physical prop­ erties of the material, have not been treated fully in any book. One of the intents of the present book is to fill this gap. This book also distinguishes itself in that it provides a unified rigorous framework to characterize the microstructures and macroscopic properties of the widely diverse types of heterogeneous materials found in nature and synthetic products. Emphasis is placed on providing foundational theoretical methods that can simultaneously yield results of practical utility. This book treats a wide breadth of topics, but the choice of subjects naturally reflects my own interests. The sheer enormity of the field has prevented me from covering many important topics. I apologize to those colleagues, known and unknown, who may not find enough of their own work cited in the ensuing pages.
Random Bars

Random Bars

Blake Wilder

Outskirts Press
2017
pokkari
This eclectic anthology of poems are the brainchild of an authentic B-Boy, inspired by thirty five years of revolutionary's in spoken words such as The Last Poets, Rakim, KRS-1, Tupac, Nas, and Saul Williams. In Random Bars there is a militancy of Pro-Black thought that still maintains a reflection of inclusion without compromise. The author is a descendant of a German-Irish mother, and an African-American father who was born a sharecropper in Mississippi. Through these lenses the author, Blake Wilder, gives a passionate display of word play narrating an unorthodox perspective of multiculturalism. Random Bars is an amazing mix of poetic verse with the dynamic influence of the generation X hip-hop culture. It is an intelligent collection that discusses many facets of societal causes and effects, while giving its reader a glimpse into the author's conscientious depths. Throughout Random Bars there are numerous historical references that expose the hypocrisy of the everyday world we exist in, many of which are composed from a first person observation. The impact of each piece is singular, but part of a whole, that shares the experiences of those that have succeeded, but still exist on the margins.