tag:blogger.com,1999:blog-90840926161833242882017-02-12T06:05:14.822-08:00Complex Systems (Mathematics Course at Oxford)This is the blog for the Complex Systems course at Oxford. It is being taught in Trinity Term 2016 in the Mathematical Institute as part of the Masters Program in Mathematical and Theoretical Physics (MTP).Masonhttp://www.blogger.com/profile/04415369043595429843noreply@blogger.comBlogger22125tag:blogger.com,1999:blog-9084092616183324288.post-13628082155930542722016-06-17T06:38:00.000-07:002016-06-17T06:38:06.969-07:00Presentation on Long-Term Migration in Korea UploadedI have uploaded my slides for the discussion of a physics-based approach to studying long-term human migration in Korea. I discussed this topic today after finishing with simulated annealing.Masonhttp://www.blogger.com/profile/04415369043595429843noreply@blogger.com0tag:blogger.com,1999:blog-9084092616183324288.post-87179244473320809202016-06-15T01:20:00.002-07:002016-06-15T01:20:44.527-07:00Notes on Monte Carlo Methods and Computational Heuristics UploadedI have uploaded the scanned notes on Monte Carlo methods and computational heuristics. (Note that the Monte Carlo notes were already available when I uploaded the scanned notes on cellular automata.)Masonhttp://www.blogger.com/profile/04415369043595429843noreply@blogger.com0tag:blogger.com,1999:blog-9084092616183324288.post-75965893674505723402016-06-06T10:01:00.001-07:002016-06-06T10:01:23.802-07:00Notes on Cellular Automata and Monte Carlo Methods UploadedI have scanned and uploaded the handwritten notes on cellular automata and Monte Carlo methods.Masonhttp://www.blogger.com/profile/04415369043595429843noreply@blogger.com0tag:blogger.com,1999:blog-9084092616183324288.post-3531871127255031472016-05-30T10:15:00.002-07:002016-05-30T10:15:13.256-07:00Slides on Agent-Based Models and Cellular Automata PostedI have posted the slides on agent-based models and cellular automata.Masonhttp://www.blogger.com/profile/04415369043595429843noreply@blogger.com0tag:blogger.com,1999:blog-9084092616183324288.post-21947175758363124522016-05-23T10:54:00.002-07:002016-05-30T10:16:20.287-07:00Scanned Lecture Notes on Percolation and Self-Organized CriticalityI have scanned and uploaded the remaining lecture notes on percolation. (Note that the scanned lecture notes on power laws already included some discussion of percolation.)<br /><br /><b>Note (5/30/16):</b> I should have stated this explicitly previously, but the some notes on self-organized criticality are also available at the end of the notes on percolation.Masonhttp://www.blogger.com/profile/04415369043595429843noreply@blogger.com0tag:blogger.com,1999:blog-9084092616183324288.post-15504672805270495202016-05-23T00:39:00.003-07:002016-05-23T00:39:48.804-07:00Some New Sources Among the Useful LinksI have added links to some more notes and articles among the 'useful links', including a new review article (just posted on arXiv) on opinion dynamics.Masonhttp://www.blogger.com/profile/04415369043595429843noreply@blogger.com0tag:blogger.com,1999:blog-9084092616183324288.post-88664599049944079552016-05-22T07:48:00.000-07:002016-05-22T07:48:03.422-07:00Homework Sheet 4 PostedI have posted homework sheet 4.Masonhttp://www.blogger.com/profile/04415369043595429843noreply@blogger.com0tag:blogger.com,1999:blog-9084092616183324288.post-85857661957660635092016-05-10T10:13:00.005-07:002016-05-10T10:13:58.728-07:00Solution Sheet 2 PostedI have posted solution sheet 2.Masonhttp://www.blogger.com/profile/04415369043595429843noreply@blogger.com0tag:blogger.com,1999:blog-9084092616183324288.post-101165397481071652016-05-10T10:13:00.002-07:002016-05-10T10:13:35.733-07:00Lecture Notes on Power Laws PostedI have posted lecture notes on power laws, including a scan of my notes and Stephen Haben's notes from last year.Masonhttp://www.blogger.com/profile/04415369043595429843noreply@blogger.com0tag:blogger.com,1999:blog-9084092616183324288.post-86441619551824873812016-05-10T10:06:00.002-07:002016-05-10T10:06:23.036-07:00Complex Systems Tarot CardsPeter Dodds of University of Vermont has designed some spectacular <a href = "https://www.uvm.edu/~pdodds/teaching/courses/2016-01UVM-303/tarotcards/">complex systems tarot cards</a>.Masonhttp://www.blogger.com/profile/04415369043595429843noreply@blogger.com0tag:blogger.com,1999:blog-9084092616183324288.post-78820018060620468272016-05-10T05:45:00.002-07:002016-05-10T05:45:21.864-07:00Words and Power LawsI looked briefly again at <a href = "https://arxiv.org/abs/cond-mat/0412004">Newman's article</a> whence I got the example of word lengths and distributions. Here are a couple more comments on it:<br /><br />(1) The circularity of the argument that we discussed is present directly in this paper, and Newman brings it up explicitly. If you want to pursue where things have progressed on this, you should look at the references to see what people have done.<br /><br />(2) The error that I did make beyond the inherited logical issues are that when I introduced the example, I mistakenly used specific words in my introduction rather than length of words. That was just me messing up and unfortunately causing some confusion in the process.<br /><br />Masonhttp://www.blogger.com/profile/04415369043595429843noreply@blogger.com0tag:blogger.com,1999:blog-9084092616183324288.post-5040394170224240702016-05-08T09:24:00.002-07:002016-05-08T09:24:20.229-07:00Homework Sheet 3 PostedI have posted homework sheet 3.Masonhttp://www.blogger.com/profile/04415369043595429843noreply@blogger.com0tag:blogger.com,1999:blog-9084092616183324288.post-89817197492731633432016-05-05T14:59:00.001-07:002016-05-05T14:59:32.196-07:00Class 1Class 1 is now scheduled: It will take place Friday week 3 (Friday the 13th ... bwahaha) at noon in room S0.29 in the Mathematical Institute.<br /><br />We will cover bits of homework sheets 1 and 2, and we will definitely discuss the papers I asked you to read.<br /><br />Thank you for your patience with the confused situation involving classes.Masonhttp://www.blogger.com/profile/04415369043595429843noreply@blogger.com0tag:blogger.com,1999:blog-9084092616183324288.post-90638815311561740652016-05-02T14:00:00.002-07:002016-05-02T14:00:34.474-07:00Updated Lecture Notes on FractalsI have posted the updated version of the lecture notes on fractals, iterated function systems, and related topics.Masonhttp://www.blogger.com/profile/04415369043595429843noreply@blogger.com0tag:blogger.com,1999:blog-9084092616183324288.post-24301535794155858432016-05-02T13:56:00.002-07:002016-05-02T13:56:14.100-07:00Solution Sheet 1 PostedYes, yes it is.Masonhttp://www.blogger.com/profile/04415369043595429843noreply@blogger.com0tag:blogger.com,1999:blog-9084092616183324288.post-92029141705124970042016-05-02T13:00:00.003-07:002016-05-02T13:00:59.054-07:00Homework Sheet 2 PostedI have posted homework sheet 2. It is due on Tuesday of week 3.Masonhttp://www.blogger.com/profile/04415369043595429843noreply@blogger.com0tag:blogger.com,1999:blog-9084092616183324288.post-29285984549644792162016-05-01T07:35:00.001-07:002016-05-01T07:35:32.922-07:00Essay Contest: Physics in 2116Maybe some of you will be interested in <i>Physics Today</i>'s <a href = "http://scitation.aip.org/aip/magazine/physicstoday/info/physics2116/">essay contest</a> to predict what physics will be like in 2116. Entries are due on 1 June.Masonhttp://www.blogger.com/profile/04415369043595429843noreply@blogger.com0tag:blogger.com,1999:blog-9084092616183324288.post-8699368287244308882016-04-30T15:42:00.000-07:002016-04-30T15:42:01.728-07:00Some Review Articles among the Useful LinksI added a link to a review article on statistical physics of social dynamics. That article has a bunch of cool stuff, and you should look at some of the other links as well.Masonhttp://www.blogger.com/profile/04415369043595429843noreply@blogger.com0tag:blogger.com,1999:blog-9084092616183324288.post-81762489165461044142016-04-30T15:28:00.002-07:002016-04-30T15:28:30.017-07:00Update on ClassesI have gotten the ok to do classes in an informal way. The first class won't be during the originally scheduled Tuesday at 10 am, because that conflicts with the schedule of some people. I'll send an e-mail to figure out what time we should meet, and realistically I think we should wait until I give you more problems before we meet to discuss things.<br /><br />In another revision, homework should be submitted directly by e-mail to the TA (Roxana Feier).<br /><br />I will wait until after the second 2-hour lecture before I write up another problem sheet.Masonhttp://www.blogger.com/profile/04415369043595429843noreply@blogger.com0tag:blogger.com,1999:blog-9084092616183324288.post-47080644329370024682016-04-24T06:09:00.000-07:002016-04-24T06:09:14.349-07:00Homework Sheet 1 PostedI have posted homework sheet 1.Masonhttp://www.blogger.com/profile/04415369043595429843noreply@blogger.com0tag:blogger.com,1999:blog-9084092616183324288.post-72154819376693242002016-04-24T06:08:00.001-07:002016-04-24T06:08:22.373-07:00Lecture Notes for Parts 0 and 1 Uploaded On the MI's page of course materials, I have uploaded lecture notes (one file) for Part 0 (introduction to complex systems) and Part 1 (fractals, iterated function systems, chaos, and related concepts). This file is a modified version of a file prepared by Stephen Haben last year. I made a decent number of updates in Part 0, but only a very tiny number of updates in Part 1.Masonhttp://www.blogger.com/profile/04415369043595429843noreply@blogger.com0tag:blogger.com,1999:blog-9084092616183324288.post-42462600668731135002016-03-31T14:28:00.001-07:002016-04-24T04:04:59.826-07:00Welcome to Complex SystemsWelcome to the Trinity Term 2016 course on complex systems at University of Oxford. This module is part of our <a href = "http://mmathphys.physics.ox.ac.uk">masters program in Mathematical and Theoretical Physics</a>.<br /><br />The lectures will take place in the Mathematical Institute (room C4) on Mondays 14:00–16:00 in weeks 1–3 and 5–8 and also on Friday 10:00–12:00 in week 8. (I am away during week 4.)<br /><br />The classes (with me as tutor and Roxana Feier as TA) will take place on Tuesdays from 10:00–11:00 in room C6 in weeks 2,3,5,7,8 and on Tuesday from 9:00–10:00 in room C5 in week 6. (Because I will be away, there also isn't a class in week 4.)<br /><br />Homework sheets associated to a given week's class are to be submitted electronically by Monday at 9:00 in weeks 2,3,5–8.<br /><br /><br />(Note: later I will add some more links to the sidebar. I also still need to figure out homework assignments and other such things.)Masonhttp://www.blogger.com/profile/04415369043595429843noreply@blogger.com0