Read e-book online Statistical mechanics of complex networks PDF

By Romualdo Pastor-Satorras, Miguel Rubi, Albert Diaz-Guilera

ISBN-10: 3540403728

ISBN-13: 9783540403722

Networks provides an invaluable version and image photograph beneficial for the outline of a large choice of web-like constructions within the actual and man-made nation-states, e.g. protein networks, nutrition webs and the web. The contributions collected within the current quantity supply either an creation to, and an outline of, the multifaceted phenomenology of complicated networks. Statistical Mechanics of advanced Networks additionally offers a state of the art photograph of present theoretical tools and methods.

Show description

Read or Download Statistical mechanics of complex networks PDF

Best system theory books

Daizhan Cheng, Hongsheng Qi, Zhiqiang Li's Analysis and Control of Boolean Networks: A Semi-tensor PDF

Research and regulate of Boolean Networks offers a scientific new method of the research of Boolean keep an eye on networks. the elemental device during this process is a unique matrix product known as the semi-tensor product (STP). utilizing the STP, a logical functionality may be expressed as a traditional discrete-time linear approach.

Read e-book online Active Sensor Planning for Multiview Vision Tasks PDF

This precise publication explores the real matters in learning for energetic visible notion. The book’s 11 chapters draw on fresh vital paintings in robotic imaginative and prescient over ten years, really within the use of latest innovations. Implementation examples are supplied with theoretical tools for checking out in a true robotic approach.

Get Chaos Theory in Politics PDF

The current paintings investigates worldwide politics and political implications of social technology and administration due to the newest complexity and chaos theories. before, deterministic chaos and nonlinear research haven't been a focus during this zone of study. This publication treatments this deficiency through the use of those equipment within the research of the subject material.

Additional resources for Statistical mechanics of complex networks

Sample text

Vespignani: cond-mat/0108043. V. Sol´e, R. Pastor-Satorras, E. D. Smith, T. Kepler: Adv. Complex Syst. 5, 43 (2002); R. D. V. Sol´e: preprint. J. L. Krapivsky, B. Kahng, S. Redner: Phys. Rev. E 66, 055101 (2002). J. Berg, M. L¨ assig, A. Wagner: cond-mat/0207711. L. Krapivsky, S. Redner, F. Leyvraz: Phys. Rev. Lett. 85, 4629 (2000). N. F. N. Samukhin: Phys. Rev. Lett. 85, 4633 (2000). L. Krapivsky, S. Redner: Phys. Rev. E 63, 066123 (2001). N. F. Mendes, A. N. Samukhin: Phys. Rev. E 64, 066110 (2001).

Some preliminary results can be found in [27]. A more detailed treatment can be found in [28, 19]. Here we just state the results. 21) 3 < λ < 4,   1 λ > 4. The number of clusters with size s behaves as ns ∼ (p − pc )−τ , where τ =2+ 1 2λ − 3 = , λ−2 λ−2 2<λ<4. 5, which is the regular mean field value. From those results it can be seen that the critical exponents are anomalous even when the second moment k 2 is convergent and only the third moment k 3 diverges, as in the case of 3 < λ < 4. From τ it can be deduced that the “double jump” in Erd˝ os-R´enyi graphs is also seen in scale free graphs, Where S, the size of largest component, scales as S ∼ N (λ−2)/(λ−1) exactly at criticality [19].

Phys. A 35 9517 (2002). J. E. , Malabar, 1987). H. C. Manrubia: Physica A 295, 1 (2001). L. Kullmann, J. Kert´esz: Phys. Rev. E 63, 051112 (2001); D. Lancaster: J. Phys. A 35, 1179 (2002). Z. D. Correia, A. Krzywicki: Phys. Rev. E 64, 046118 (2001). L. Krapivsky, S. Redner: Phys. Rev. Lett. xx xxxx (2002). A. S. N. Amaral: cond-mat/0205411. L. E. Knuth, O. : Addison-Wesley, 1989). L. Krapivsky, S. Redner: Computer Networks 39, 261 (2002). S. E. M. J. H. Strogatz: Phys. Rev. E 64, 041902 (2001).

Download PDF sample

Statistical mechanics of complex networks by Romualdo Pastor-Satorras, Miguel Rubi, Albert Diaz-Guilera

by David

Rated 4.30 of 5 – based on 29 votes