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- The Dodd-Walls Centre for Photonic and Quantum TechnologiesNZ34 papers
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7 papers · 1 filter
Efficient computation of the branching structure of an algebraic curve
J. Frauendiener, C. Klein, V. Shramchenko
An efficient algorithm for computing the branching structure of a compact Riemann surface defined via an algebraic curve is presented. Generators of the fundamental group of the ba…
The enumeration of permutations avoiding 2143 and 4231
Michael Albert, M. D. Atkinson, Robert Brignall
We enumerate the pattern class Av(2143,4231) and completely describe its permutations. The main tools are simple permutations and monotone grid classes.
Kumjian-Pask algebras of higher-rank graphs
Gonzalo Aranda Pino, John Clark, Astrid an Huef +1
We introduce higher-rank analogues of the Leavitt path algebras, which we call the Kumjian-Pask algebras. We prove graded and Cuntz-Krieger uniqueness theorems for these algebras,…
Naturality of Symmetric Imprimitivity Theorems
Astrid an Huef, S. Kaliszewski, Iain Raeburn +1
The first imprimitivity theorems identified the representations of groups or dynamical systems which are induced from representations of a subgroup. Symmetric imprimitivity theorem…
Quantum chaos in one dimension?
Laszlo Ujfalusi, Imre Varga, Daniel Schumayer
In this work we investigate the inverse of the celebrated Bohigas-Giannoni-Schmit conjecture. Using two inversion methods we compute a one-dimensional potential whose lowest N eige…
Counting (3+1) - Avoiding permutations
M. D. Atkinson, Bruce E. Sagan, Vincent Vatter
A poset is {\it $(\3+\1)$-free} if it contains no induced subposet isomorphic to the disjoint union of a 3-element chain and a 1-element chain. These posets are of interest because…