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Akad. Nauk SSSR,284, No. Peredachi Inf.,11, No. S. A. Zuev and A. F. Sidorenko, “Continuous models of percolation theory. I Mat. M. Campanino and L. Russo, “An upper bound on the critical percolations probability for the three-dimensional cubic lattice,” Ann. Bagrow, J. P., Lehmann, S., & Ahn, Y.-Y. Ya. Januar 2021), ca. 3, 790–795 (1957). Mekh., No. The effect of eavesdroppers on network connectivity: A secrecy graph approach. Phys.,36, No. Network robustness and fragility: Percolation on random graphs. A.,13, 1307–1310 (1980). Percolation theory and some applications. © 2020 Springer Nature Switzerland AG. Majdandzic, A., Podobnik, B., Buldrev, S. V., Kenett, D. Y., Havlin, S., & Stanley, H. E. (2014). Translated from Itogi Nauki i Tekhniki, Teoriya Veroyatnostei, Matematicheskaya Statistika, Teoreticheskaya Kibernetika, Vol. Over 10 million scientific documents at your fingertips. The degree of network resilience can be measured by the size of a largest component (or cluster) after a fraction of nodes or edges are removed in the network. Zemli, No. eine Ziffer enthalten sein.). Double in size, this second edition provides an up-to-date account of these applications. P. V. Khrapov, “On percolation in finite strip,” Vestn. Univ., Ser. PubMed Google Scholar. B. Zel'dovich, “Percolation properties of a two-dimensional random magnetic field,” Pis'ma Zh. Small cluster in cyber physical systems: Network topology, interdependence and cascading failures. Phys.,5, 1117–1127 (1964). 1–2, 103–143 (1984). Chen, P.-Y., Cheng, S.-M., & Chen, K.-C. (2012). (2002). A. O. Golosov, S. A. Molchanov, and A. 8 Citations. Nauk SSSR, Ser. 2, 246–256 (1983). Resilience of the internet to random breakdowns. In percolation theory, the basic idea is that a node failure or an edge failure (reverse) percolates throughout a network, and, accordingly, the failure affects the connectivity among nodes. Appl. Zemli, No. After reviewing the theory, the book covers a range of applications and variations. J. C. Wierman, “Bond percolation on honeycomb and triangular lattices,” Adv. Gebiete,56, 229–237 (1981). 3, 371–379 (1985). It introduces the measurement of adaptability and recoverability in addition to that of fault tolerance as new contributions to measuring network resilience by applying percolation theory. Zukünftig erhalten Sie keine automatischen Aktualisierungen von uns. P. J. de Jean, Scaling Ideas in the Physics of Polymers [Russian translation], Mir, Moscow (1982). In many cybersecurity applications, the underlying ideas of percolation theory have not been much explored. Reznikova, “On a percolation approach in fracture theory,” Vychisl. 39–48. Percolation theory and some applications. H. Kesten, “The critical probability of bond percolation on the square lattice equal 1/2,” Commun. Cho, J. H., Xu, S., Hurley, P., Mackay, M., & Benjamin, T. (2017). (1979), pp. Das Passwort muss mind. Resilience metrics for cyber systems. 4, 10–13 (1985). Goel, S., Aggarwal, V., Yener, A., & Calderbank, A. R. (2011). Learning to discover social circles in ego networks. Percolation processes I. Crystals and mazes. Resilience and survivability in communication networks: Strategies, principles, and survey of disciplines. Will the liquid be able to make its way from hole to hole and reach the bottom? 2, 281–284 (1983). Fiz.,65, No. Immediate online access to all issues from 2019. Mat. Taylor & Francis, London 1994. Mat. STRAM: Measuring the trustworthiness of computer-based systems, ACM Computing Surveys (under review). London ; Bristol, PA : Taylor & Francis, ©1994 (DLC) 93033032 (OCoLC)28798745: Material Type: Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: Muhammad Sahimi. A. Malyshev's estimate and its applications,” in: Random Processes in Fields [in Russian], Moscow State Univ. Linkov, I., Eisenberg, D. A., Plourde, K., Seager, T. P., Allen, J., & Kott, A. Auf die Merkliste, Informationen zu den Autoren & weitere Veröffentlichungen der Autoren, In den Warenkorb S. A. Zuev and A. F. Sidorenko, “Continuous models of percolation theory. A remark on the square lattice site percolation,” Z. Wahrsch. Liu, G., Zhang, J., & Chen, G. (2014). Percolation theory provides a mathematical framework for the study of random physical processes such as flow through disordered porous media. U. Grenander and G. Szego, Toeplitz Forms and Their Applications, Univ. Easily repairable networks: Reconnecting nodes after damage. 11, 296 (1969). In percolation theory, the basic idea is that a node failure or an edge failure (reverse) percolates throughout a network, and, accordingly, the failure affects the connectivity among nodes. Broadbent, S., & Hammersley, J. Isaac Balberg, Percolation Theory and Its Application in Electrically Conducting Materials, Semiconducting Polymer Composites, 10.1002/9783527648689, (145-169), (2013). Palla, G., Derényi, I., Farkas, I., & Vicsek, T. (2005). Well known in the field, the author presents examples in phase transitions, semiconductors, geology, astrophysics, network modeling, and the social sciences. Seismol.,19 (1985). 3, 613–628 (1981). This is a preview of subscription content, log in to check access. Ya. M. V. Men'shikov, “Coincidence of critical points in percolation problems,” Dokl. Spontaneous recovery in dynamical networks. (1960). II,” Teor. Mosk. Metrics details. Mat. Auf die Merkliste. Fiz.,55, No. 2, 253–262 (1985). This service is more advanced with JavaScript available, Cyber Resilience of Systems and Networks Callaway, D. S., Newman, M. E. J., Strogatz, S. H., & Watts, D. J. Sterbenz, J. P. G., Hutchison, D., Çetinkaya, E. K., Jabbar, A., Rohrer, J. P., Schöller, M., & Smith, P. (2010). I,” Teor. I,” Teor. Scaling and percolation in the small-world network model. Here not only classical percolation schemes are considered (bond and site problems on lattices) but also various generalizations that arose in connection with actual physical applications. Von M. Sahimi. Cite as. Girvan, M., & Newman, M. E. J. Math. J. Probab.,13, 298–313 (1981). 2, 89–103 (1971). Chung, F. (2014). Uncovering the overlapping community structure of complex networks in nature and society. Part of Springer Nature. (2012, August). B. Peshkov, and K. A. Rybnikov, “Mathematical models of aging of polymer insulation materials,” Dokl. Nauk SSSR, Ser. Percolation of localized attack on complex networks. (Darin sollte mind. Statist.,28, No. Shao, S., Huang, X., Stanley, H. E., & Havlin, S. (2015). M. A. Sadovskii, “On models of a geophysical environment and seismic process,” in: Forecast of Earthquakes [in Russian], Vol. Zivilverfahrensrecht, Berufsrecht, Insolvenzrecht, Europarecht , Internationales Recht, Recht des Auslands, Rechtswissenschaft, Nachbarbereiche, sonstige Rechtsthemen, Steuerrecht allgemein, Gesamtdarstellungen, Einkommensteuer, Lohnsteuer, Kapitalertragsteuer, Kirchensteuer, Körperschaftsteuer, Umwandlungssteuerrecht, Grundsteuer, Grunderwerbsteuer, Bewertung, Vermögensteuer, Zollrecht, Außenwirtschaftsrecht, sonstige Verkehrsteuern, Verbrauchsteuern, Erbschaftsteuer, Schenkungsteuer, Spendenrecht, Gemeinnützigkeitsrecht, Berufsrecht, Gebührenrecht der Steuerberater, Wirtschaftsprüfer, Kanzleimanagement, Unternehmensberatung, Steuerfachkräfte, Wirtschaftspolitik, Öffentliche Wirtschaftsbereiche, Finanzsektor und Finanzdienstleistungen: Allgemeines, Betriebswirtschaft: Theorie und Allgemeines, Wirtschaftssektoren und Branchen: Allgemeines, Medien-, Informations und Kommunikationswirtschaft, Chemie, Biowissenschaften, Agrarwissenschaften, Philosophie, Wissenschaftstheorie, Informationswissenschaft, Bücher schnell und kostenfrei in die DACH-Region, kostenfreie & sichere Rücksendung innerhalb Deutschlands, kompetenter Kundenservice durch ausgebildete Buchhändler. R. Durrett and B. Nguen, “Thermodynamic inequalities for percolation,” Commun. The degree of network resilience can be measured by the size of a largest component (or cluster) after a fraction of nodes or edges are removed in the network. R. A. Minlos and P. V. Khrapov, “On percolation in a finite strip for continuous systems,” Vestn. 179 Accesses. (2012). XIV + 258 S., Softcover ISBN 0-7484-0076-1 Die Perkolationstheorie bezeichnet eine Klasse von Modellen, bei denen das Zusammenspiel von Geometrie, Topologie und Zufall untersucht werden kann. Teor. Phys.,74, No. R. P. Braginskii, B. V. Gnedenko, S. A. Molchanov, I. Wir liefern bei Erscheinen (Erscheint vsl. M. V. Men'shikov, S. A. Molchanov & A. F. Sidorenko Journal of Soviet Mathematics volume 42, pages 1766 – 1810 (1988)Cite this article. (2011). Phys.,20 (1970). The review is a brief description of the state of problems in percolation theory and their numerous applications, which are analyzed on base of interesting papers published in the last 15-20 years.

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