News
- 2012 April 18 - Submitted and arXived "Social Climber attachment in forming networks produces phase transition in 'connectivity' "
- with Dane Taylor
- 2012 April 18 - Submitted and arXived "Statistics of Avalanches in Complex Networks."
- with Marshall Y. Carpenter, Ed Ott and Juan G. Restrepo
- 2012 April 30 - Attending the "Criticality in Neural Systems" symposium at the NIMH.
- April 30 - May 1 (Conference Poster).
- 2012 April 10 - I have accepted a postdoc at the Harvard School of Public Health: Center for Communicable Disease Dynamics.
- Genetic recombination networks of P. falciparum with Aaron Clauset and Caroline Buckee
- 2012 April 5 - I am happy to report that I've earned a Ph.D.
- 2012 April 5 - I will be defending my dissertation. Univ. Colorado, ECOT 831, 9:00 AM
- Critical Dynamics in Complex Excitable Networks
- 2012 March 3 - Talk at FRAMSC
- Excited about Inhibition - the surprising collective effect of inhibitory nodes in simple excitable networks
- 2012 Jan 4 - Attending the Dynamics Days 2012 conference hosted by Univ. Maryland
- Poster: The Social Climber Model
- 2011 Dec 21 - I will be teaching APPM 2350, Calculus III
- 8:00-8:50 (Section 010), Spring 2012.
- 2011 Dec 5 - Proud to release PercoVIS v1.1,
- a network percolation visualization tool - now includes Product Rule.
- 2011 Dec 1 - Attending the NICO Network Frontiers workshop at Northwestern Univ.
- 2011 Nov 16 - Group member Sebastian Skardal releases Synched software.
- Synched - A Kuramoto oscillator system visualization tool.
- 2011 Oct 31 - Talk at the Randy O'Reilly Lab journal club meeting.
- Criticality and Relative Dynamical Importance in Simple Excitable Networks.
- 2011 Aug 22 - I will be teaching APPM 2350, Calculus III
- 1:00-1:50 (Section 040).
- 2011 Aug 2 - Proud to release PercoVIS,
- a network percolation visualization tool.
- 2011 May 23 - Talk at SIAM DS11
- Minisymposium on "Criticality and Dynamic Range in Neuronal Networks"
Software
PercoVIS is a free software tool, created to visualize the process of percolation on a network. It was developed with much inspiration and feedback from my collaborator, Dane Taylor. It includes Erdos-Renyi and Adjacent Edge decision rules for link addition. Documentation about these processes can be found on the download page. If you would like another decision rule added, I am happy to code it up and re-release the software. PercoVIS is free to use and distribute non-commercially under a Creative Commons license. If you are interested in a similar tool to visualize Kuramoto oscillators, please check out Sebastian Skardal's Synched software.
Research Interests
Generally, I am interested in the development of mathematical and statistical methods to understand complex processes on complex networks. This includes the dynamic of human populations, environment, economics, education, health, and disease.
For my dissertation research, I investigated the role of network topology on the dynamics of excitable systems. A nice example of an excitable system that can be understood in this light is a neuronal network—a network of brain cells—where excitations may be passed from cell to cell via electrochemical impulses. Another example of such an excitable system is the spread of a disease such as swine flu through a social contact network. Collaborators for this work are Juan G. Restrepo, Woodrow L. Shew, Ed Ott, Marshall Y. Carpenter, and Francesco Sorrentino
I am also more recently interested in the concept of explosive percolation. An interesting observation about this phenomenon is that the size of the giant component may not be the best way to measure connectivity in the network. Therefore, I am exploring different ways of thinking of network connectivity in an effort to understand if there is more explosivity in the literature than just the giant component size. My collaborator for this is Dane Taylor.
Also in my research group is Sebastian Skardal.
Journal Publications
- 2012 "Social Climber attachment in forming networks produces phase transition in 'connectivity' "
- Dane Taylor, Daniel B. Larremore. Under review.
- [arXiv]
- 2012 "Statistics of Avalanches in Complex Networks"
- Daniel B. Larremore, Marshall Y. Carpenter, Edward Ott, and Juan G. Restrepo. Under review.
- [arXiv]
- 2011 "Effects of network topology, transmission delays, and refractoriness on the response of coupled excitable systems to a stochastic stimulus"
- Daniel B. Larremore, Woodrow L. Shew, Edward Ott, and Juan G. Restrepo. Chaos 21, 025117.
- [PDF] [Chaos]
- 2011 "Predicting criticality and dynamic range in complex networks: effects of topology"
- Daniel B. Larremore, Woodrow L. Shew, and Juan G. Restrepo. Phys. Rev. Lett. 106, p. 058101.
- [PDF] [PRL]
Other Press and Publications
- 2012 PercoVIS cited in Daniel E. Geer's "Power. Law.," IEEE Security and Privacy, 10(1), 94 (2012) - "a lovely visualization tool."
- 2012 PercoVIS to be featured in Franco Landriscina's upcoming Springer textbook, Simulation and Learning, due May 2012
- 2010 "David's Lawnmowing Efficiency Hierarchy" on NPR's Planet Money Blog.
Teaching
2012 Spring - I am teaching APPM 2350, Calculus III in the 8:00-8:50 section. All the details may be found on the APPM 2350 site.
Previous courses are listed below. See my FCQ evaluations.
- 2011 Fall APPM 2350, Calculus III (Instructor)
- 2009 - 2010 Applied Mathematics Lead TA
- 2009 Fall - APPM 1360, Calculus II (TA)
- 2009 Spring - APPM 2360, Ordinary Differential Equations (TA)
- 2008 Fall - APPM 2350, Calculus III (TA)
- 2008 Summer - APPM 2350, Calculus III (TA)
- 2008 Spring - APPM 2360, Ordinary Differential Equations (TA)
- 2007 Fall - APPM 2350, Calculus III (TA)
Personal Interests
Boulder is a great place to play music, hit the roads on a bicycle, and ski. I also like to read, and talk about things like education policy, environmental policy, and general scientific progress. I like to travel. You can see some of my adventures on my personal website, if you like.