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"Lecture Notes in Physics Editorial Board R. Beig Wien Austria W. Beiglböck Heidelberg Germany W. Domcke Garching Germany B.-G. Englert Singapore U. Frisch Nice France P. Hänggi Augsburg Germany G. Hasinger Garching Germany K. Hepp Zürich Switzerland W. Hillebrandt Garching Germany D. Imboden Zürich Switzerland R. L. Jaffe Cambridge MA USA R. Lipowsky Golm Germany H. v. Lhneysen Karlsruhe Germany I. Ojima Kyoto Japan D. Sornette Nice France and Zürich Switzerland S. Theisen Golm Germany W. Weise Garching Germany J. Wess München Germany J. Zittartz Köln Germany The Lecture Notes in Physics The series Lecture Notes in Physics (LNP) founded 1969 reports new developments physics research teaching quickly informally but high quality explicit aim summarize communicate current knowledge accessible way Books published this series conceived bridging material advanced graduate textbooks forefront research serve following purposes to be compact modern up-to-date source reference well-defined topic serve accessible introduction postgraduate students nonspecialist researchers related areas to be source advanced teaching material specialized seminars courses schools Monographs multi-author volumes considered publication Edited volumes however consist limited number contributions Proceedings not considered LNP Volumes published LNP disseminated both print electronic formats electronic archive available springerlink com Series content indexed abstracted referenced many abstracting information services bibliographic networks subscription agencies library networks consortia Proposals sent member Editorial Board directly managing editor Springer Dr Christian Caron Springer Heidelberg Physics Editorial Department Tiergartenstrasse 17 69121 Heidelberg Germany christian.caron@springer.com Pratip Bhattacharyya Bikas K Chakrabarti Modelling Critical and Catastrophic Phenomena in Geoscience A Statistical Physics Approach BC Editors Pratip Bhattacharyya Physics Department Gurudas College Narkeldanga Kolkata 700054 India Centre for Applied Mathematics and Computational Science Saha Institute of Nuclear Physics 1 AF Bidhannagar Kolkata 700064 India E mail Pratip BhattacharyyaSaha ac in Bikas K Chakrabarti Theoretical Condensed Matter Physics Division Centre for Applied Mathematics and Computational Science Saha Institute of Nuclear Physics 1 AF Bidhannagar Kolkata 700064 India Email bikask chakrabartiSaha ac in P Bhattacharyya B K Chakrabarti et al Modelling Critical and Catastrophic Phenomena in Geoscience Lect Notes Phys 705 Springer Berlin Heidelberg 2006 DOI 10 1007 b11766995 Library of Congress Control Number 2006928276 ISSN 0075 8450 ISBN 10 3 540 35373 9 Springer Berlin Heidelberg New York ISBN 13 978 3 540 35373 7 Springer Berlin Heidelberg New York This work subject to copyright All rights reserved specifically rights translation reprinting reuse illustrations recitation broadcasting reproduction microfilm any other way storage data banks Duplication publication parts permitted only provisions German Copyright Law September 9 1965 current version permission use must always obtained Springer Violations liable prosecution under German Copyright Law Springer part Springer Science Business Media springer com c Springer Verlag Berlin Heidelberg 2006 Use general descriptive names registered names trademarks etc this publication does not imply absence specific statement names exempt relevant protective laws regulations therefore free general use Typesetting by authors and techbooks using Springer LATEX macro package Cover design design production GmbH Heidelberg Printed acid free paper SPIN 11766995 54 techbooks 543210" Ключевые слова: mc, velocity, gamma, region, dynamic, catastrophic failures, set, ap, correlation, data, rev, soc, statistical nonstationarity, scaling surfaces, dimension, bundle, parameter, mainshock, vert spacer, problem, force, rate, guerjouma, eff, science, ux uy, geometric progression, moment, sand, distance, surface, asymptotically, spatiotemporal correlations, pradhan, appl mech, slip, mc pd, phys, tan, omori sequences, levy ights, int, occurrence, property, seismicity, earthquake, dc, block, fracture, aftershock, pc, study, ravi prakash, size, kun, g-r law, solid, length, cm, mb, ?rst, event, sequence, motion, ln ln, hansen, polynomial, random, ?bres, avalanche, local, earth, catalog, geometric incompatibility, xp, frictional law, omori law, physics, near-periodic recurrence, simulation, behavior, kar gupta, fractal, hemmer, math gen, large, 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