The Hörmander and Maslov classes and Fomenko's conjecture.
The index of a vector field tangent to a hypersurface and the signature of the relative jacobian determinant
Given a real analytic vector field tangent to a hypersurface with an algebraically isolated singularity we introduce a relative Jacobian determinant in the finite dimensional algebra associated with the singularity of the vector field on . We show that the relative Jacobian generates a 1-dimensional non-zero minimal ideal. With its help we introduce a non-degenerate bilinear pairing, and its signature measures the size of this point with sign. The signature satisfies a law of conservation of...
The Intersection of Four Quadrics in IP6, Abelian Surfaces and their Moduli.
The Jeffrey-Kirwan localization theorem and residue operations in equivariant cohomology.
The Kolmogorov-Arnold-Moser theorem.
The Kowalevski's top and the method of Syzygies
A new algorithm for finding separation coordinates is tested on the example of Kowalev ski’s top.
The K-property of N billiard balls I.
The K-property of N billiard balls II. Computation of neutral linear spaces.
The Lagrange Intersections for (CPn, RPn).
The Lagrange rigid body motion
We discuss the motion of the three-dimensional rigid body about a fixed point under the influence of gravity, more specifically from the point of view of its symplectic structures and its constants of the motion. An obvious symmetry reduces the problem to a Hamiltonian flow on a four-dimensional submanifold of ; they are the customary Euler-Poisson equations. This symplectic manifold can also be regarded as a coadjoint orbit of the Lie algebra of the semi-direct product group with its natural...
The Lagrangian and Hamiltonian formulations for the waves in a compressible fluid with the Hall current.
In questo lavoro si ricavano: 1) l'equazione d'onda linearizzata, 2) la formulazione Lagrangiana, 3) la formulazione Hamiltoniana, nella teoria della propagazione ondosa in un fluido comprimibile descritto dalle equazioni della magnetofluidodinamica ideale in presenza di corrente Hall.
The Language of Caring: Quantitating Medical Practice Patterns using Symbolic Dynamics
Real-world medical decisions rarely involve binary Ðsole condition present or absent- patterns of patient pathophysiology. Similarly, provider interventions are rarely unitary in nature: the clinician often undertakes multiple interventions simultaneously. Conventional approaches towards complex physiologic derangements and their associated management focus on the frequencies of joint appearances, treating the individual derangements of physiology...
The lattice structure of connection preserving deformations for -Painlevé equations I.
The law of exponential decay for expanding mappings
The Lax integrable differential-difference dynamical systems on extended phase spaces.
The Legendre transformation
The Lie structure of C* and Poisson algebras
The Lipschitz condition for the conjugacies of Feigenbaum-like mappings
The magnetic geodesic flow in a homogeneous field on the complex projective space.
The magnetic geodesic flow on a homogeneous symplectic manifold.