Starting around the late 1950s, several research communities began relating the geometry of graphs to stochastic processes on these graphs. This book, twenty years in the making, ties together research in the field, encompassing work on percolation, isoperimetric inequalities, eigenvalues, transition probabilities, and random walks. Written by two leading researchers, the text emphasizes intuition, while giving complete proofs and more than 850 exercises. Many recent developments, in which the authors have played a leading role, are discussed, including percolation on trees and Cayley graphs, uniform spanning forests, the mass-transport technique, and connections on random walks on graphs to embedding in Hilbert space. This state-of-the-art account of probability on networks will be indispensable for graduate students and researchers alike.
On the 250th anniversary of the composer's death, this volume offers an in-depth look at the "Great Eighteen" organ chorales, among the most celebrated works for organ, and a milestone in the history of the chorale. Addressed to organists, scholars, and general listeners alike, this lucid and engaging book examines the music from a wide spectrum of historical and analytical perspectives. Stinson examines the models used by Bach in conceiving the original pieces, his subsequent compilation of these works into a collection, and his compositional process as preserved by the autograph manuscript. Himself an accomplished organist, Stinson also considers various issues of performance practice and concludes with a discussion of the music's reception--its dissemination in manuscript and printed form, its performance history, and its influence on later composers. Completely up-to-date and presenting a wealth of new material, much of it translated into English for the first time, this study will open up fresh perspectives on some of the composer's greatest creations.
Scotland's deadliest gang war of a generation - the Daniel family versus the Lyons - was sparked by a cocaine theft from a house party which unleashed a decade of murderous violence. Devastation ensued... beatings, slashings, abductions and torture. Homes were firebombed while children slept; witnesses were forced into protection and families ripped apart. Michael Lyons, 21, was slaughtered with British Army guns in a triple shooting at a north Glasgow garage. Daniel enforcer Kevin 'Gerbil' Carroll, 29, had 13 shots pumped into him outside an Asda supermarket. The desecration of the grave of eight-year-old cancer victim Garry Lyons marked a sickening low. Caught in the crossfire were brave residents of Milton, Glasgow, who opposed their community centre being used as a taxpayer-funded gang hut by the Lyons. Against the odds, they won their six-year battle which exposed a murky nexus between police officers, politicians and the underworld. This is the explosive story of how the Daniel-Lyons feud engulfed a community and spread from the mean streets into the corridors of power.
When Australia entered World War I, volunteers swarmed to enlistment centres in their thousands. But among the recruits were criminals with extensive police records. Some had assumed false names to start lives afresh; others made no secret of their criminal histories. They were hardened criminals, fresh out of jail or on the run from the law, or fleeing family responsibilities or debts. Once in uniform, some became persistent deserters, fleeing the training depots before embarkation. Those who did make it overseas spent much of the time going AWL to avoid being sent to the front. There were some who showed great courage and endeavour while under fire, and were awarded medals and citations. In most cases, however, the encouragement failed to distract them from their misbehaviour. Others used their military training to expand their unlawful enterprises overseas, joining gangs of like-minded desperate diggers. And then there were those who saw the war as a chance to hone their skills for use in the criminal underworld on their return. They were Australia's khaki crims and desperadoes.
A Liverpudlian West Side Story, Blood Brothers is the story of twin brothers separated at birth because their mother cannot afford to keep them both. One of them is given away to wealthy Mrs Lyons and they grow up as friends in ignorance of their fraternity until the inevitable quarrel unleashes a blood-bath. Blood Brothers was first performed at the Liverpool Playhouse in 1983 and subsequently transferred to the Lyric Theatre, London. It was revived in the West End in 1988 for a long-running production and opened on Broadway in 1993.
With admirable clarity, Mrs Peters sums up what determines competence in spelling and the traditional and new approaches to its teaching.' -Times Literary Supplement
The streetscape of London’s historic square mile has been evolving for centuries, but the City’s busy commercial heart still boasts an extensive network of narrow passages and alleyways, secret squares and half-hidden courtyards. Using his wealth of local knowledge, historian David Long guides you through these ancient rights of passage – many dating back to medieval times or earlier – their evocative names recalling old taverns, notable individuals and City traditions. Hidden behind the glass, steel and stone of London’s banks and big business, these survivors of modern development bear witness to nearly 2,000 years of British history.
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