Special solutions to ultradiscrete Painleve

Host Institution:

La Trobe University

Title of Seminar:

Special solutions to ultradiscrete Painlevé

Speaker's Name:

Dr. Christopher Ormerod

Speaker's Institution:

La Trobe University

Time and Date:

Friday 10 June 2011 at 2:00 pm (AEST)

Seminar Abstract:

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.

Seminar Convenor:

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