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DTSTART;TZID=America/Los_Angeles:20181015T161500
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SUMMARY:Agent-Based and Continuous Models of Locust Hopper Bands: The Role of Intermittent Motion\, Alignment\, Attraction and Repulsion (Andrew J. Bernoff\, HMC)
DESCRIPTION:Locust swarms pose a major threat to agriculture\, notably in northern Africa and the Middle East. In the early stages of aggregation\, locusts form hopper bands. These are coordinated groups that march in columnar structures that are often kilometers long and may contain millions of individuals. We propose a model for the formation of locust hopper bands that incorporates intermittent motion\, alignment with neighbors\, and social attraction\, all behaviors that have been validated in experiments. Using a particle-in-cell computational method\, we simulate swarms of up to a million individuals\, which is several orders of magnitude larger than what has previously appeared in the locust modeling literature. We observe hopper bands in this model forming as a fingering instability. Our model also allows homogenization to yield a system of partial integro-differential evolution equations. We identify a bifurcation from a uniform marching state to columnar structures\, suggestive of the formation of hopper bands.
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-prof-andrew-j-bernoff-hmc/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Applied Math Seminar
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DTSTART;TZID=America/Los_Angeles:20181016T121500
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CREATED:20181008T194923Z
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SUMMARY:The Bateman—Horn Conjecture\, Part I: heuristic derivation (Stephan Garcia\, Pomona)
DESCRIPTION:The Bateman—Horn Conjecture is a far-reaching statement about the distribution of the prime numbers.  It implies many known results\, such as the Green—Tao theorem\, and a variety of famous conjectures\, such as the Twin Prime Conjecture.  In this expository talk\, we start from basic principles and provide a heuristic argument in favor of the conjecture.  This talk should be accessible to undergraduates with a background in modular arithmetic.
URL:https://colleges.claremont.edu/ccms/event/the-bateman-horn-conjecture-part-i-heuristic-derivation-stephan-garcia-pomona/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20181017T161500
DTEND;TZID=America/Los_Angeles:20181017T171500
DTSTAMP:20260610T052355
CREATED:20180904T171513Z
LAST-MODIFIED:20181001T150735Z
UID:499-1539792900-1539796500@colleges.claremont.edu
SUMMARY:Great Expectations (Matthew Junge\, Duke Univ.)
DESCRIPTION:The mean of a random quantity is supposed to confirm our expectations. What happens when it defies them? We will look at a few famous expected values; some old\, some new\, all great.
URL:https://colleges.claremont.edu/ccms/event/great-expectations/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Ali Nadim":MAILTO:ali.nadim@cgu.edu
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