Overview Overview of Complex Systems Orientation Principles of Complex Systems Course Information CSYS/MATH 300, Fall, 2011 Major Complexity Centers Resources Projects Topics Fundamentals Prof. Peter Dodds Complexity Emergence Self-Organization Department of Mathematics & Statistics | Center for Complex Systems | Modeling Statistical Mechanics Vermont Advanced Computing Center | University of Vermont References Licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License . 1 of 81
Outline Overview Orientation Orientation Course Information Course Information Major Complexity Centers Resources Major Complexity Centers Projects Topics Resources Fundamentals Complexity Projects Emergence Self-Organization Topics Modeling Statistical Mechanics References Fundamentals Complexity Emergence Self-Organization Modeling Statistical Mechanics References 2 of 81
Basics: Overview Orientation Course Information Major Complexity Centers Resources Projects ◮ Instructor: Prof. Peter Dodds Topics Fundamentals ◮ Lecture room and meeting times: Complexity Emergence 201 Torrey Hall, Tuesday and Thursday, 11:30 am to Self-Organization Modeling 12:45 pm Statistical Mechanics References ◮ Office: Farrell Hall, second floor, Trinity Campus ◮ E-mail: peter.dodds@uvm.edu ◮ Website: http://www.uvm.edu/~pdodds/ teaching/courses/2011-08UVM-300 ( ⊞ ) 4 of 81
Admin: Overview Orientation Course Information Potential paper products: Major Complexity Centers Resources Projects 1. Outline Topics Fundamentals Complexity Office hours: Emergence Self-Organization ◮ 12:50 pm to 3:50 pm, Wednesday, Modeling Statistical Mechanics Farrell Hall, second floor, Trinity Campus References Graduate Certificate: ◮ CSYS/MATH 300 is one of two core requirements for UVM’s Certificate of Graduate Study in Complex Systems ( ⊞ ). ◮ Five course requirement. 5 of 81
Exciting details regarding these slides: Overview Orientation Course Information ◮ Three versions (all in pdf): Major Complexity Centers Resources 1. Presentation, Projects Topics 2. Flat Presentation, Fundamentals 3. Handout (3x2). Complexity Emergence ◮ Presentation versions are navigable and hyperlinks Self-Organization Modeling are clickable. Statistical Mechanics References ◮ Web links look like this ( ⊞ ). ◮ References in slides link to full citation at end. [1] ◮ Citations contain links to papers in pdf (if available). ◮ Brought to you by a concoction of L T EX ( ⊞ ), A Beamer ( ⊞ ), perl ( ⊞ ), madness, and the indomitable emacs ( ⊞ ). 6 of 81
Grading breakdown: Overview Orientation Course Information Major Complexity Centers Resources Projects ◮ Projects/talks (36%)—Students will work on Topics semester-long projects. Students will develop a Fundamentals Complexity proposal in the first few weeks of the course which Emergence Self-Organization will be discussed with the instructor for approval. Modeling Statistical Mechanics Details: 12% for the first talk, 12% for the final talk, References and 12% for the written project. ◮ Assignments (60%)—All assignments will be of equal weight and there will be five or six of them. ◮ General attendance/Class participation (4%) 7 of 81
How grading works: Overview Orientation Course Information Major Complexity Centers Resources Projects Topics Questions are worth 3 points according to the Fundamentals Complexity following scale: Emergence Self-Organization ◮ 3 = correct or very nearly so. Modeling Statistical Mechanics ◮ 2 = acceptable but needs some revisions. References ◮ 1 = needs major revisions. ◮ 0 = way off. 8 of 81
Schedule: Overview Orientation Week # (dates) Tuesday Thursday Course Information Major Complexity Centers 1 (8/30, 9/1) overview overview Resources Projects 2 (9/6, 9/8) overview/projects lecture Topics 3 (9/13, 9/15) lecture lecture Fundamentals 4 (9/20, 9/22) Presentations Presentations Complexity Emergence 5 (9/27, 9/29) lecture lecture Self-Organization Modeling 6 (10/4, 10/6) lecture lecture Statistical Mechanics 7 (10/11, 10/13) lecture lecture References 8 (10/18, 10/20) lecture lecture 9 (10/25, 10/27) lecture lecture 10 (11/1, 11/3) lecture lecture 11 (11/8, 11/10) lecture lecture 12 (11/15, 11/17) lecture lecture 13 (11/22, 11/24) Thanksgiving Thanksgiving 14 (11/29, 12/2) lecture Presentations 15 (12/6) Presentations — 9 of 81
Important dates: Overview Orientation Course Information Major Complexity Centers Resources Projects Topics 1. Classes run from Monday, August 29 to Wednesday, Fundamentals Complexity December 7. Emergence Self-Organization 2. Add/Drop, Audit, Pass/No Pass deadline—Monday, Modeling Statistical Mechanics September 12. References 3. Last day to withdraw—Monday, October 31 (Boo). 4. Reading and Exam period—Thursday, December 8 to Friday, December 16. 10 of 81
More stuff: Overview Orientation Course Information Major Complexity Centers Resources Projects Topics Fundamentals Do check your zoo account for updates regarding the Complexity course. Emergence Self-Organization Modeling Statistical Mechanics Academic assistance: Anyone who requires assistance in References any way (as per the ACCESS program or due to athletic endeavors), please see or contact me as soon as possible. 11 of 81
Popular Science Books: Overview Orientation Course Information Major Complexity Centers Resources Projects Topics Fundamentals Complexity Historical artifact: Emergence Self-Organization Complexity—The Emerging Science at the Modeling Statistical Mechanics Edge of Order and Chaos ( ⊞ ) References by M. Mitchell Waldrop 13 of 81
Popular Science Books: Overview Orientation Course Information Major Complexity Centers Resources Projects Simply Complexity: A Clear Guide to Topics Complexity Theory ( ⊞ ) Fundamentals Complexity by Neil Johnson. Emergence Self-Organization Modeling Statistical Mechanics References Complexity—A Guided Tour ( ⊞ ) by Melanie Mitchell. 14 of 81
A few other relevant books: Overview Orientation Course Information ◮ “Critical Phenomena in Natural Sciences: Chaos, Major Complexity Centers Resources Fractals, Self-organization and Disorder: Concepts Projects Topics and Tools” by Didier Sornette [13] Fundamentals Complexity ◮ “Micromotives and Macrobehavior” by Thomas Emergence Schelling [12] Self-Organization Modeling Statistical Mechanics ◮ “Complex Adaptive Systems: An Introduction to References Computational Models of Social Life,” by John Miller and Scott Page [11] ◮ “Modeling Complex Systems” by Nino Boccara [4] ◮ “Critical Mass: How One Thing Leads to Another” by Philip Ball [2] ◮ “The Information” by James Gleick [9] 16 of 81
Centers Overview Orientation Course Information Major Complexity Centers Resources ◮ Santa Fe Institute (SFI) Projects Topics ◮ New England Complex Systems Institute (NECSI) Fundamentals Complexity ◮ Michigan’s Center for the Study of Complex Systems Emergence Self-Organization (CSCS ( ⊞ )) Modeling Statistical Mechanics ◮ Northwestern Institute on Complex Systems References (NICO ( ⊞ )) ◮ Also: Indiana, Davis, Brandeis, University of Illinois, Duke, Warsaw, Melbourne, ..., ◮ UVM’s Complex System Center ( ⊞ ) 17 of 81
Useful/amusing online resources: Overview Orientation Course Information Major Complexity Centers Resources Projects Topics Fundamentals ◮ Complexity Digest: Complexity Emergence http://www.comdig.org ( ⊞ ) Self-Organization Modeling Statistical Mechanics References ◮ Cosma Shalizi’s notebooks: http://www.cscs.umich.edu/ crshalizi/notebooks/ ( ⊞ ) 18 of 81
Projects Overview Orientation Course Information Major Complexity Centers Resources Projects Topics Fundamentals ◮ Semester-long projects. Complexity Emergence ◮ Develop proposal in first few weeks. Self-Organization Modeling Statistical Mechanics ◮ May range from novel research to investigation of an References established area of complex systems. ◮ We’ll go through a list of possible projects soon. 20 of 81
Projects Overview Orientation Course Information The narrative hierarchy—explaining things on many Major Complexity Centers Resources scales: Projects Topics ◮ 1 to 3 word encapsulation, a soundbite, Fundamentals Complexity ◮ a sentence/title, Emergence Self-Organization ◮ a few sentences, Modeling Statistical Mechanics ◮ a paragraph, References ◮ a short paper, ◮ a long paper, ◮ a chapter, ◮ a book, ◮ . . . 21 of 81
Topics: Overview Orientation Course Information Measures of complexity Major Complexity Centers Resources Projects Topics Scaling phenomena Fundamentals Complexity ◮ Allometry Emergence Self-Organization Modeling ◮ Non-Gaussian statistics and power law distributions Statistical Mechanics References ◮ Zipf’s law ◮ Sample mechanisms for power law distributions ◮ Organisms and organizations ◮ Scaling of social phenomena: crime, creativity, and consumption. ◮ Renormalization techniques 23 of 81
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