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13 papers · 1 filter
Mixed State Geometric Phase from Thomas Rotations
Péter Lévay
It is shown that Uhlmann's parallel transport of purifications along a path of mixed states represented by density matrices is just the path ordered product of Thomas r…
Coincident root loci of binary forms
L. M. Feher, A. Nemethi, R. Rimanyi
Coincident root loci are subvarieties of --the space of binary forms of degree --labelled by partitions of . Given a partition , let be the set of forms wi…
Positivity of quiver coefficients through Thom polynomials
A. S. Buch, L. M. Feher, R. Rimanyi
Let r be an orbit of the quiver representation of type A_n (equioriented case). In this paper we study the Poincare dual of the closure of r (a.c.a. Thom polynomial/degeneracy loci…
Strongly interacting neutrinos as the highest energy cosmic rays
Z. Fodor, S. D. Katz, A. Ringwald +1
We show that all features of the ultrahigh energy cosmic ray spectrum from 10^{17} eV to 10^{21} eV can be described with a simple power-like injection spectrum of protons under th…
Effective Random Matrix Theory description of chaotic Andreev billiards
A. Kormányos, Z. Kaufmann, C. J. Lambert +1
An effective random matrix theory description is developed for the universal gap fluctuations and the ensemble averaged density of states of chaotic Andreev billiards for finite Eh…
Strongly Homotopy Lie Algebras of One Even and Two Odd Dimensions
Alice Fialowski, Michael Penkava
We classify strongly homotopy Lie algebras - also called L-infinity algebras - of one even and two odd dimensions, which are related to -dimensional -graded Lie algebras.…