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Host Institution:
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La Trobe University
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Title of Seminar:
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Special solutions to ultradiscrete Painlevé
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Speaker's Name:
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Dr. Christopher Ormerod
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Speaker's Institution:
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La Trobe University
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Time and Date:
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Friday 10 June 2011 at 2:00 pm (AEST)
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Seminar Abstract:
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The ultradiscrete Painlevé equations are discrete dynamical systems over the max-plus semifield. We will consider special solutions of these systems. Many traditional methods used to analyze these systems cannot be applied in the setting of a semifield. One way of overcoming these difficulties is to treat these equations as the image of a discrete dynamical system over a non-archimedean valuation field, such as the p-adics or various functions fields. As an application of this method, we are able to produce the first known examples of hypergeometric solutions of the ultradiscrete Painlevé equations. |
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Seminar Convenor:
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AGR IT support:
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