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This book brings together geometric tools and their applications for Information analysis. It collects current and many uses of in the interdisciplinary fields of Information Geometry Manifolds in Advanced Signal, Image & Video Processing, Complex Data Modeling and Analysis, Information Ranking and Retrieval, Coding, Cognitive Systems, Optimal Control, Statistics on Manifolds, Machine Learning, Speech/sound recognition and natural language treatment which are also substantially relevant for the industry.
The purpose of these notes is to explore some simple relations between Markovian path and loop measures, the Poissonian ensembles of loops they determine, their occupation fields, uniform spanning trees, determinants, and Gaussian Markov fields such as the free field. These relations are first studied in complete generality for the finite discrete setting, then partly generalized to specific examples in infinite and continuous spaces.
Some vols. include supplemental journals of "such proceedings of the sessions, as, during the time they were depending, were ordered to be kept secret, and respecting which the injunction of secrecy was afterwards taken off by the order of the House".
The tradition of specialized courses in the Séminaires de Probabilités is continued with A. Lejay's Another introduction to rough paths. Other topics from this 42nd volume range from the interface between analysis and probability to special processes, Lévy processes and Lévy systems, branching, penalization, representation of Gaussian processes, filtrations and quantum probability.
pt. 1. List of patentees.--pt. 2. Index to subjects of inventions.
Written in honor of Victor Havin (1933–2015), this volume presents a collection of surveys and original papers on harmonic and complex analysis, function spaces and related topics, authored by internationally recognized experts in the fields. It also features an illustrated scientific biography of Victor Havin, one of the leading analysts of the second half of the 20th century and founder of the Saint Petersburg Analysis Seminar. A complete list of his publications, as well as his public speech "Mathematics as a source of certainty and uncertainty", presented at the Doctor Honoris Causa ceremony at Linköping University, are also included.
This book explores how a variety of historically marginalised groups create their own 'public spheres', parallel to the mainstream public arena. Since such groups have been excluded from conventional public discourse and activity, they build their own infrastructures for opinion formation and expression. The book draws upon theory in sociology, philosophy, political science, and communications in order to understand communication patterns among the politically marginal at different points in history. Three diverse historical case studies (female-operated salons of eighteenth-century Paris, the black press of the 1930s, and the creation of The Masses), and a contemporary analysis of the Libertarian Party, illuminate the experiences of those who live on the fringe of the public sphere. Through synthesis of existing scholarship, and original archival research, Politics at the Margin demonstrates the centrality of political communication to the study of social action.