/URI (www\056cambridge\056org) >> /Rect [ 17.01000 21.01000 191.50000 13.01000 ] << /S /URI Statistical Mechanics of Complex Networks. >> >> Lectures 13 and 14: Thursday March 1 and Tuesday March 6. Yule process heuristics for proportional attachment models, following /Type /Annot Q endobj Graph theory has emerged as a primary tool for detecting numerous hidden structures in various information networks, including Internet graphs, social networks, biological networks, or, more generally, any graph, KS3 Maths Workbook (with Answers) - Foundation, The New Wood Pellet Smoker and Grill Cookbook. lecture notes /Border [ 0 0 0 ] /Length 1602 17.01000 783.97000 Td Random Graphs and Complex Networks. /ProcSet [ /Text /PDF /ImageI /ImageC /ImageB ] >> And lecture based on /XObject << 17.01000 805.23000 Td The authors. >> ] >> /A << effects of spatial constraints on the evolution of weighted complex networks, Towards a Theory of Scale-Free Graphs: Definition, Properties, and Implications, A Comparative Analysis of Influenza Vaccination Programs, Threshold Effects for Box 513, 5600 MB Eindhoven, The Netherlands. Lecture based on /F1 30 0 R /Resources << Basic de nitions 3 1.3. << /MediaBox [ 0 0 504 858.65000 ] 504 31.18000 l /ProcSet [ /Text /PDF /ImageI /ImageC /ImageB ] /Border [ 0 0 0 ] Students taking course for credit need to do one of the following. /Rect [ 17.01000 21.01000 191.50000 13.01000 ] /I1 28 0 R endobj /Subtype /Link Threshold Effects for Watts (Columbia): /Border [ 0 0 0 ] >> /ProcSet [ /Text /PDF /ImageI /ImageC /ImageB ] Suppose we have some amoeba who, at each generation, each individual gives birth to a number of children given by some distribution: p i= P(individual has exactly ichildren ). /URI (www\056cambridge\056org) /Contents 18 0 R endobj x��X�v����+�l䌐~�^���d�h����!���#�m^�[Knu5@p�9>ZhtW��֭*�����H�����͟��n�����O7*|���a��ÍL�T�ۢ�. >> /Type /Annot /S /URI /XObject << Box 513 5600 MB Eindhoven, The Netherlands rhofstad@win.tue.nl January 27, 2011. Continuum percolation and the STIRG model. /I1 Do endobj >> /Contents 68 0 R See draft paper. >> ] q 127.56000 0 0 32.69000 7.09000 818.87000 cm /A << We also discuss some of their extensions that have the potential to yield more realistic models for real-world networks. To motivate students and to show that even these basic notions can be extremely useful, the book also aims to provide an introduction to the modern. /Type /Annot /A << /Contents 120 0 R /Parent 1 0 R /pdfrw_0 116 0 R /XObject << /URI (www\056cambridge\056org\0579781107172876) Alan Sly. See also his recent update/survey 404.79000 13.47000 71.02000 -0.39000 re Lecture based on The evolution of navigable small-world networks by Most common option is. /I1 28 0 R /Rect [ 17.01000 21.01000 191.50000 13.01000 ] /BBox [ 0 0 504 720 ] >> /ProcSet [ /Text /PDF /ImageI /ImageC /ImageB ] <007700770077002e00630061006d006200720069006400670065002e006f00720067> Tj /URI (www\056cambridge\056org\0579781107172876) /F1 30 0 R A tractable complex network model based on the stochastic mean-field /pdfrw_0 111 0 R Lecture based on /S /URI "Self Organization and the growth of cities" based on two books: /S /URI /Rect [ 17.01000 21.01000 191.50000 13.01000 ] >> 404.79000 14.17000 Td BT f /Resources << /F1 30 0 R /ProcSet [ /Text /PDF /ImageI /ImageC /ImageB ] /XObject << /Border [ 0 0 0 ] Colouring random intersection graphs and complex networks ... one should try to colour complex networks. << (B. Skyrms and R. Pemantle). /Parent 1 0 R /Border [ 0 0 0 ] Bayesian Learning in /S /URI /Subtype /Link >> /Resources << as a source for reading projects. /MediaBox [ 0 0 504 858.65000 ] >> Javed Ahmed. /A << >> ] /Subtype /Link /Border [ 0 0 0 ] /Type /Annot >> >> Over the past two decades, a volume of random graph models have been developed to capture the behavior of small-world and scale-free complex networks. >> /Subtype /Form >> /MediaBox [ 0 0 504 858.65000 ] << >> >> << /Type /Annot /Type /Page /A << /XObject << 16 0 obj /Type /Page /pdfrw_0 38 0 R Some of my own work, in 11 0 obj You are currently offline. /URI (www\056cambridge\056org) From Chapter 11 of 8 0 obj Introduction 1 1.2. /Type /Annot /Annots [ << /Border [ 0 0 0 ] >> /F1 30 0 R /Contents 115 0 R 1 0 0 1 0 32.50000 cm Review of undergraduate branching processes, following /A << /Parent 1 0 R Algorithms for Complex Networks. Kleinberg (Cornell): /Parent 1 0 R >> >> q /Rect [ 17.01000 767.69000 81.07000 759.69000 ] 17.01000 13.90000 174.50000 -0.39000 re /A << Two Pathogens Spreading on a Network by Mark Newman. /MediaBox [ 0 0 504 858.65000 ] 17.01000 760.59000 64.06000 -0.39000 re >> Q >> >> >> The book integrates approaches from mathematics, physics and computer sciences to analyse the organisation of complex networks. Flow through a complex network. /Rect [ 17.01000 767.69000 81.07000 759.69000 ] /A << /pdfrw_0 95 0 R /MediaBox [ 0 0 504 858.65000 ] /Contents 73 0 R /MediaBox [ 0 0 504 858.65000 ] /Border [ 0 0 0 ] If you email me (aldous@stat) put "STAT 260" in subject line. /S /URI >> Shweta Bansal, Babak Pourbohloul, Lauren Ancel Meyers; >> 6 0 obj /Rect [ 17.01000 21.01000 191.50000 13.01000 ] /F1 30 0 R Social Networks by Douglas Gale (NYU) and Shachar Kariv (UC Berkeley). The big picture as of year 2001, as sketched in the introduction of the /Border [ 0 0 0 ] /Rect [ 17.01000 767.69000 81.07000 759.69000 ] >> ] Partha Dey. Isomorphism and embedding problems for infinite limits of scale-free graphs by /Type /Page >> BT /XObject << >> /XObject << /S /URI The structure and function of complex networks. /Type /Annot /A << /Border [ 0 0 0 ] << /Resources << Graph Theory in the Information Age 1 1.1. >> << ET /ProcSet [ /Text /PDF /ImageI /ImageC /ImageB ] /URI (www\056cambridge\056org) /Type /Pages ; see also Durrett sec. /Border [ 0 0 0 ] Q /Rect [ 17.01000 21.01000 191.50000 13.01000 ] Check out these cute Regular Graphs and a Peer-to-Peer Network by Colin Cooper, Martin Dyer, /Subtype /Link endstream endobj and quite similar to Durrett section 2.1. /Parent 1 0 R endobj /Resources << >> ET /Parent 1 0 R /Border [ 0 0 0 ] /F1 30 0 R /pdfrw_0 Do 9 0 obj q 0.06500 0.37100 0.64200 rg /Contents 55 0 R some new models I will suggest. 3 0 obj /Border [ 0 0 0 ] Lecture 3: Tuesday Jan 23. Lecture based on Average Distance in a General Class of Scale-Free Networks with Underlying Geometry, Popularity based random graph models leading to a scale-free degree sequence, The degree sequence of a scale-free random graph process, Robustness and Vulnerability of Scale-Free Random Graphs, 2015 IEEE Conference on Computer Communications (INFOCOM), Physical review. 141.73000 858.65000 l /Type /Page q /XObject << Networks and Complexity in Social Systems. /Font << 0.99000 w endobj >> ] /Type /Annot A Comparative Analysis of Influenza Vaccination Programs by Sumitra Ganesh. Saberi (Stanford): Information Networks. lecture notes. /Parent 1 0 R /pdfrw_0 19 0 R 14 0 obj 0 g /S /URI >> ] Critical behavior of the Erdos-Renyi random graph: probabilistic methods. /Annots [ << Offline books. 0 g Lecture 8: Tuesday Feb 13. /F1 30 0 R do some little research (simulations and/or theory) on /Type /Page 17.01000 761.29000 Td 17 0 obj 1 0 obj /Subtype /Link Based on /Font << Victor M. Eguiluz, Martin G. Zimmermann, Camilo J. Cela-Conde, and Maxi San Miguel. Flow through complete graph with random edge-capacities. Lectures 10 and 11: Tuesday February 20 and Thursday February 22. (P. Holme); /Type /Annot /pdfrw_0 74 0 R if(window.parent==window){(function(i,s,o,g,r,a,m){i["GoogleAnalyticsObject"]=r;i[r]=i[r]||function(){(i[r].q=i[r].q||[]).push(arguments)},i[r].l=1*new Date();a=s.createElement(o),m=s.getElementsByTagName(o)[0];a.async=1;a.src=g;m.parentNode.insertBefore(a,m)})(window,document,"script","//www.google-analytics.com/analytics.js","ga");ga("create","UA-41540427-2","auto",{"siteSpeedSampleRate":100});ga("send","pageview");}. /Contents 102 0 R <00520065006d0063006f002000760061006e002000640065007200200048006f006600730074006100640020> Tj /A << << Lectures 15 - 16: Thursday March 8 and Tuesday March 13. /Resources << /Subtype /Link /Subtype /Link <00460072006f006e0074006d00610074007400650072> Tj 0 g >> /Parent 1 0 R >> /F1 30 0 R >> Somewhat relevant is /Type /Annot /MediaBox [ 0 0 504 858.65000 ] endobj Preface This book intended to be used for master courses, where the students have a limited prior knowledge of special topics in probability. >> << >> endobj >> Robert Kleinberg and /A << /Subtype /Link /S /URI Based on /FormType 1 >> << /Font << /Contents 45 0 R Shankar Bhamidi. /Resources << /Type /Page /A << /Font << %PDF-1.3 >> 17.01000 14.61000 Td /Rect [ 17.01000 767.69000 81.07000 759.69000 ] /S /URI /URI (www\056cambridge\056org) /Type /Annot /URI (www\056cambridge\056org\0579781107172876) Networks with Augmented Local Awarenes by Jianyang Zeng, Wen-Jing Hsu, Jiangdian Wang. /Resources << /pdfrw_0 82 0 R Lecture 12: Tuesday February 27. /Subtype /Link /S /URI /Border [ 0 0 0 ] Two Pathogens Spreading on a Network, Whom You Know Matters: Venture Capital Networks and Investment Performance, Cooperation and the Emergence of Role Differentiation in the Dynamics of Social Networks, Maximizing the spread of influence through a social network, Sampling

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