551 citations
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17 papers · 1 filter
Cycle up-down permutations
Emeric Deutsch, Sergi Elizalde
A permutation is defined to be cycle-up-down if it is a product of cycles that, when written starting with their smallest element, have an up-down pattern. We prove bijectively and…
Coactions and Fell bundles
S. Kaliszewski, Paul S. Muhly, John Quigg +1
We show that if is a Fell bundle over a locally compact group , then there is a natural coaction of on the Fell-bundle -algebra such that if …
On basic forbidden patterns of functions
Sergi Elizalde, Yangyang Liu
The allowed patterns of a map on a one-dimensional interval are those permutations that are realized by the relative order of the elements in its orbits. The set of allowed pattern…
The number of permutations realized by a shift
Sergi Elizalde
A permutation p is realized by the shift on N symbols if there is an infinite word on an N-letter alphabet whose successive left shifts by one position are lexicographically in the…
Dynamical Quantum Error Correction of Unitary Operations with Bounded Controls
Kaveh Khodjasteh, Lorenza Viola
Dynamically corrected gates were recently introduced [Khodjasteh and Viola, Phys. Rev. Lett. 102, 080501 (2009)] as a tool to achieve decoherence-protected quantum gates based on o…
The scaling of forced collisionless reconnection in two and three dimensions
Brian P. Sullivan, Barrett N. Rogers
This paper presents two-fluid simulations of forced magnetic reconnection with finite electron inertia in a collisionless three-dimensional (3D) cube with periodic boundaries in al…