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14 papers · 1 filter
Persistence of Freeness for Lie Pseudogroup Actions
Peter Olver, Juha Pohjanpelto
The action of a Lie pseudogroup on a smooth manifold induces a prolonged pseudogroup action on the jet spaces of submanifolds of . We prove in this paper that both…
Suppression of multiferroic order in hexagonal YMn1-xInxO3 ceramics
A. Dixit, Andrew E. Smith, M. A. Subramanian +1
We have investigated the effects of substituting In for Mn on the antiferromagnetic phase transition in YMnO3 using magnetic, dielectric, and specific heat measurements. We prepare…
A dynamical pairing between two rational maps
Clayton Petsche, Lucien Szpiro, Thomas J. Tucker
Given two rational maps and on $\PP^1$ of degree at least two, we study a symmetric, nonnegative-real-valued pairing which is closely related to the canonical heigh…
Octonionic Cayley Spinors and E6
Tevian Dray, Corinne A. Manogue
Attempts to extend our previous work using the octonions to describe fundamental particles lead naturally to the consideration of a particular real, noncompact form of the exceptio…
Octonions, E6, and Particle Physics
Corinne A. Manogue, Tevian Dray
In 1934, Jordan et al. gave a necessary algebraic condition, the Jordan identity, for a sensible theory of quantum mechanics. All but one of the algebras that satisfy this conditio…
Orthogonality and probability: mixing times
Yevgeniy Kovchegov
We produce the first example of bounding total variation distance to stationarity and estimating mixing times via orthogonal polynomials diagonalization of discrete reversible Mark…