Anthony Zaleski's Research
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On an isoperimetric problem with a competing non-local term: Quantitative results
(with C. B. Muratov, appeared in Ann. Glob. Anal. Geom., Vol 47, pp 63–80, Jan 2015)
[pdf]
[video 1]
[video 2]
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Experimental analysis of lattice walks
[pdf]
[Maple package]
[sample theorems]
[video 1]
[video 2]
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Explicit expressions for the moments of the size of an (s,s+1)-core partition with distinct
parts
(appeared in Adv. Appl. Math., Vol 84, pp1–7, Mar 2017)
[pdf]
[Maple package]
[sample theorems]
[video 1]
[video 2]
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Explicit (Polynomial!) Expressions for the Expectation, Variance and Higher Moments of the Size of of a (2n+1,2n+3)-core partition with Distinct parts
(with D. Zeilberger, appeared in J. Difference Equ. Appl., Vol 23, pp1241–1254, Jan 2017)
[pdf]
[Maple packages]
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Explicit expressions for the moments of the size of an (n,dn-1)-core partition with distinct parts
[pdf]
[Maple package]
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Solving satisfiability using inclusion-exclusion
[pdf]
[Maple package]
[video 1]
[video 2]
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On the Intriguing Problem of Counting (n + 1, n + 2)-Core Partitions into Odd Parts
[pdf]
[Maple package]