 CARMA COLLOQUIUM
 Speaker: Dr Michael Assis, CARMA, The University of Newcastle
 Title: Systematic analysis of OEIS generating functions
 Location: Room V205, Mathematics Building (Callaghan Campus) The University of Newcastle
 Time and Date: 4:00 pm, Tue, 10^{th} Oct 2017
 Abstract:
Given a sequence of integers, one would like to understand the pattern which generates the sequence, as well as its asymptotics. If the sequence is viewed as the coefficients of the series expansion of a function, called its generating function, many questions regarding the sequence can be answered more easily. If the generating function satisfies a linear ODE or a nonlinear algebraic DE, the differential equation can be found if enough terms in the sequence are given. In this talk I'll discuss my implementation in C of such a search, applications, and a systematic search of the entire Online Encyclopedia of Integer Sequences (OEIS) for generating functions.
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 CARMA COLLOQUIUM
 Speaker: Dr Michael Assis, CARMA, The University of Newcastle
 Title: Exactly solved origami statistical mechanics
 Location: Room V205, Mathematics Building (Callaghan Campus) The University of Newcastle
 Time and Date: 3:00 pm, Wed, 2^{nd} Aug 2017
 Abstract:
I will discuss how to relate regular origami tilings to vertex models in statistical mechanics. The Miuraori origami pattern has found many uses in engineering as an auxetic metamaterial. I analyze the effect of crease assignment defects on the longrange order properties of the
Miuraori and 4 other foldable lattices. These defects are known to affect the material's compressibility properties, so my exact results help to understand how easy it is to tune an origami metamaterial to have desired compressibility properties by introducing a set density of defects. I have found that certain origami patterns are more easily tunable than others, and conversely, the longrange ordering of some are more stable with respect to defect formation. I have also found analytical expressions for the locations of phase transition points with respect to crease assignment ordering as well as layer ordering.
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