Hamed Amini, Andreea Minca (auth.), Evangelos Kranakis's Advances in Network Analysis and its Applications PDF

By Hamed Amini, Andreea Minca (auth.), Evangelos Kranakis (eds.)

ISBN-10: 3642309038

ISBN-13: 9783642309038

ISBN-10: 3642309046

ISBN-13: 9783642309045

As good as highlighting in all probability important functions for community research, this quantity identifies new goals for mathematical examine that promise to supply insights into community platforms idea in addition to facilitating the cross-fertilization of rules among sectors. targeting monetary, safety and social elements of networking, the quantity provides to the becoming physique of proof displaying that community research has functions to transportation, conversation, wellbeing and fitness, finance, and social coverage extra commonly. It offers robust types for figuring out the habit of advanced structures that, in flip, will impression various state of the art sectors in technological know-how and engineering, equivalent to instant verbal exchange, community safety, allotted computing and social networking, monetary research, and cyber warfare.

The quantity bargains an insider’s view of state-of-the-art study in community structures, together with methodologies with colossal strength for interdisciplinary software. The participants have all awarded fabric at a sequence of workshops geared up on behalf of Canada’s MITACS initiative, which cash initiatives and examine provides in ‘mathematics for info know-how and complicated systems’. those lawsuits contain papers from workshops on monetary networks, community safety and cryptography, and social networks. MITACS has proven that the in part ghettoized nature of community platforms examine has resulted in duplicated paintings in discrete fields, and therefore this initiative has the capability to save lots of time and speed up the speed of analysis in a few components of community structures research.

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Extra resources for Advances in Network Analysis and its Applications

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Newman, Albert-L´aszl´o Barab´asi, and D. J. Watts. The Structure and Dynamics of Networks. Princeton University Press, 2006. 40. M. E. J. Newman. Spread of epidemic disease on networks. Phys. Rev. E, 66(1):016128, Jul 2002. 41. M. E. J. Newman, S. H. Strogatz, and D. J. Watts. Random graphs with arbitrary degree distributions and their applications. Physical Review E, 64:026118, 2001. 26 H. Amini and A. Minca 42. P. Sch¨onbucher. Portfolio losses and the term structure of loss transition rates: a new methodology for the pricing of portfolio credit derivatives.

The mechanism of shock transmission is treated differently by GK and by NYYA, and this is an important distinction between the models. 1 Shock Transmission in the GK Model In the GK model, defaulted banks do not repay any portion of their outstanding interbank debts because the timescale for any recovery on these defaulted loans is assumed to exceed the timescale of the contagion spread in the system. Consequently, all creditors of a bank which defaulted in timestep n receive, at timestep n + 1, a shock of magnitude equal to the total size of their loan to the defaulted bank.

P. Gleeson et al. As in the GK model, shocks transmitted from banks which default at timestep n will affect the creditor banks at timestep n + 1, and a cascade of banks failures may ensue. This cascade mechanism bears some resemblance to the “fictitious default” cascade used by Eisenberg and Noe [8] (“EN” for short) to determine the clearing payment vector in a system with defaults, see Appendix A. However, the NYYA cascades are not identical to the EN cascades. When a bank defaults in the NYYA model, it transmits a once-off shock to each of its creditors, but then plays no further role in the dynamics of the system.

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Advances in Network Analysis and its Applications by Hamed Amini, Andreea Minca (auth.), Evangelos Kranakis (eds.)


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