Articles

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Asymptotic dynamics of attractive-repulsive swarms (with Andrew Leverentz and Andrew J. Bernoff), SIAM Journal on Applied Dynamical Systems (2009)
We classify and predict the asymptotic dynamics of a class of swarming models. The model...
 

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Blogs and wikis as instructional tools: A social software implementation of Just-in-Time Teaching (with Jude A. Higdon), College Teaching (2009)
The Just-in-Time Teaching (JiTT) methodology of Novak and collaborators (1999) uses web-based tools to gather...
 

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Review of “Continuum modeling in the physical sciences” by van Groesen and Molenaar, Biometrica (2009)
 

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A model for rolling swarms of locusts (with Andrew J. Bernoff, Sheldon Logan, and Wyatt Toolson), European Physical Journal - Special Topics (2008)
We construct an individual-based kinematic model of rolling migratory locust swarms. The model incorporates social...
 

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A nonlocal continuum model for biological aggregations (with Andrea L. Bertozzi and Mark E. Lewis), Bulletin of Mathematical Biology (2006)
We construct a continuum model for biological aggregations in which individuals experience long-range social attraction...
 

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Modeling the potential impact of rectal microbicides to reduce HIV transmission in bathhouses (with Romulus Breban, Ian McGowan, Elissa Schwartz, Peter Anton, and Sally Blower), Mathematical Biosciences and Engineering (2006)
We evaluate the potential impact of rectal microbicides for reducing HIV transmission in bathhouses. A...
 

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Multifrequency control of Faraday wave patterns (with Jeff Porter and Mary Silber), Physical Review E (2004)
We show how pattern formation in Faraday waves may be manipulated by varying the harmonic...
 

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Pattern control via multi-frequency parametric forcing (with Jeff Porter and Mary Silber), Physical Review Letters (2004)
We use symmetry considerations to investigate control of a class of resonant three-wave interactions relevant...
 

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Swarming patterns in a two-dimensional kinematic model for biological groups (with Andrea L. Bertozzi), SIAM Journal on Applied Mathematics (2004)
We construct a continuum model for the motion of biological organisms experiencing social interactions and...
 

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Resonances and superlattice pattern stabilization in two-frequency forced Faraday wave (with Mary Silber), Physica D (2002)
We investigate the role weakly damped modes play in the selection of Faraday wave patterns...
 

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Two-frequency forced Faraday waves: weakly damped modes and pattern selection (with Mary Silber and Anne Skeldon), Physica D (2000)
Recent experiments [A. Kudrolli, B. Pier, J.P. Gollub, Physica D 123 (1998) 99–111] on two-frequency...
 

Contributions to Books

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Fractional bandwidth reacquisition algorithms for VSW-MCM (with Ben Cook, Daniel Marthaler, Andrea L. Bertozzi, and Mathieu Kemp), Multi-robot systems: From swarms to intelligent automata (2003)
Autonomous underwater vehicles are gradually being recognized as key assets in future combat systems. Central...
 

Unpublished Papers

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Forced patterns near a Turing-Hopf bifurcation (with Anne Catlla) (2009)
We study time-periodic forcing of spatially-extended patterns near a Turing-Hopf bifurcation point. A symmetry-based normal...
 

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Tuberculosis screening for international students at a Midwestern liberal arts college (with Grace Goetzke and Victor Addona) (2008)
Participants: 318 international students at Macalester College screened for latent tuberculosis infection via tuberculin skin...
 

Other

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Pattern formation in two-frequency forced Faraday waves (2002)

This dissertation investigates pattern selection in two-frequency forced Faraday waves. In this system, a fluid...