Lee Worden Research Wiki
This site is an open lab notebook, implemented as a wiki with enhancements for research use. I intend to house several active research projects here. Below are the different things that are here.
Contents |
Consensus dynamics project
The Consensus Dynamics Project is about people making a decision together when they may disagree about what is desirable. We are using simplified models to investigate effective ways of reaching a mutually agreeable outcome.
Cascading Social Change
Ongoing research with Jonathan Dushoff and Andrei Akhmetzanov, on mathematical investigations of social processes that can lead to abrupt, widespread change in behavior.
Threshold models:
- Thresholds and Abrupt Social Change blog post on the basic threshold model
- Talk on the subject from summer 2012
Cascade models:
- Bikh on network: graphs and videos
- Cascades Paper, in progress.
The Norms category on [1] includes updates about both modeling projects.
Reflexive Graph Laplacian Operations
I am working on a manuscript about a math project in progress, regarding how to use a graph's structure to operate on itself, making the graph more or less clustered.
Simulation experiments:
- Laplacian Experiments/Linear Laplacian ODEs
- Laplacian Experiments/Nonlinear Laplacian ODEs
- Laplacian Experiments/Laplacianoid ODEs
- Laplacian Experiments/Stochastic
Analysis pages:
- Laplacian Clustering
- Laplacianoid
- Laplacian Experiments/Stochastic
- Laplacian Experiments/Eigenvectors
- Laplacian Experiments/Eigenmatrices
- but actually the most up-to-date and concise analysis is in the Laplacian Paper draft itself...
Teaching
- Fall 2011
- In Fall 2011 I taught a math class at a local art school, with a curriculum covering "Systems, networks, and strategy." I used this wiki to develop the curriculum, weekly lectures, and course material in the open.
- Fall 2012
- I'm doing the Systems, Networks, and Strategy course again in Fall 2012 with lots of changes.
- I'm also teaching a biology course on the subject of boundaries, individuals and coexistence, also with course material in the open on this wiki.
- Spring 2013
- A different math class: Numbers in Music.
Open grantwriting and job applications
Refining the Consensus Dynamics Project in research proposals and applying to various sources for support.
Also refining the documents I am using in the job search process.
Other stuff
- half-baked ideas: things I could be working on, if there were enough copies of me.
- ITP presentation: Aug. 27, 2011 presentation of a paper about the WorkingWiki software at a workshop on math wikis
- Thresholds Presentation 12-9-2011: Dec. 9, 2011 presentation about our research on threshold models and abrupt change in social norms, at the Getz lab's weekly meeting (in Berkeley)
- Consensus Presentation 12-16-2011: Dec. 16, 2011 talk about the Consensus Dynamics Project, at McMaster
- Thresholds presentation 6-16-2012: June 16, 2012 talk about the thresholds project, at SIAM conference on nonlinear waves, session on social dynamics.
- Deliberation Talk 8-22-2012: August 22, 2012 talk about democratic deliberation process - and a new result about information cascades at the end - at Google HQ in Mountain View, CA.
- Video of this talk is at http://leeworden.net/lw/node/133.
About this wiki
This is part of the theobio group of wikis, hosted by Jonathan Dushoff's lab at McMaster University.
This wiki includes the WorkingWiki extension, meaning it can house the contents of our research projects, not just documentation of the techniques and results. For more information about that, see the documentation on our Projects wiki. Users are encouraged to explore and experiment with the WW features, and to help us improve the features and their documentation.
