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GIAMBELLI AND DEGENERACY LOCUS FORMULAS FOR CLASSICAL G/P SPACES
LOCUS FORMULAS GIAMBELLI
2015/12/17
Let G be a classical complex Lie group, P any parabolic subgroup
of G, and X = G/P the corresponding homogeneous space, which parametrizes
(isotropic) partial flags of subspaces of a fix...
DOUBLE SCHUBERT POLYNOMIALS AND DEGENERACY LOCI FOR THE CLASSICAL GROUPS
DOUBLE SCHUBERT POLYNOMIALS DEGENERACY LOCI
2015/12/17
We propose a theory of double Schubert polynomials Pw(X;Y )
for the Lie types B, C, D which naturally extends the family of Lascoux and
Schutzen Ä berger in type A. These polynomials satisfy po...
Spectral degeneracy and escape dynamics for intermittent maps with a hole
Escape rate Pomeau-Manneville maps Perron-Frobenius operators
2011/1/20
We study intermittent maps from the point of view of metastability. Small neighbourhoods of an intermittent fixed point and their complements form pairs of almost-invariant sets.
Unexpected systematic degeneracy in a system of two coupled Gaudin models with homogeneous couplings
Unexpected systematic degeneracy two coupled Gaudin models homogeneous couplings
2010/12/15
We report an unexpected systematic degeneracy between di erent multiplets in an inversion symmetric system of two coupled Gaudin models with homogeneous couplings, as occurring for example in the cont...
A criterion for non-degeneracy of singularities of integrable Hamiltonian systems
criterion non-degeneracy of singularities integrable Hamiltonian systems
2010/12/15
Let (M, !) be a symplectic 2n-manifold and h1, . . . , hn be functionally independent com-
muting functions onM. We present a geometric criterion for non-degeneracy of a singular point P ∈ M (i.e. su...
The ground state degeneracy of an SU(N)k topological phase with n quasiparticle excitations is
relevant quantity for quantum computation, condensed matter physics, and knot theory. It is an
open que...
The Exterior Tricomi Problem for Generalized Mixed Equations with Parabolic Degeneracy
Exterior Tricomi problem Equations of mixed type Doubly connected domain
2007/12/11
This paper deals with the exterior Tricomi problem for generalized mixed equations with parabolic degeneracy. Firstly the representation of solutions of the problem for the equations is given, and the...