Using two diierent methods inspired by duality transformations we present the equivalence between eeective Lagrangians for massive vector mesons using a vector eld and an antisymmetric tensor eld. This completes the list of explicit eld transformations between the various eeective Lagrangian methods to describe massive vector and axial vector mesons.

A formal correspondence is established between the curvature theory of generalized implicit hypersurfaces, the classical theory of electromagnetism as expressed in terms of exterior di®erential systems, and thermodynamics. Starting with a generalized implicit surface whose normal ̄eld is represented by an exterior di®erential 1-form, it is possible to deduce the curvature invariants of the impl...

We analyse the topological (knot-theoretic) features of a certain codimension-one bifurcation of a partially hyperbolic xed point in a ow onR 3 originally described by Shil'nikov. By modifying how the invariant manifolds wrap around themselves, or \pleat," we may apply the theory of templates, or branched two-manifolds, to capture the topology of the ow. This analysis yields a class of ows whic...

in this paper, we investigate the concept of topological stationary for locally compact semigroups. in [4], t. mitchell proved that a semigroup s is right stationary if and only if m(s) has a left invariant mean. in this case, the set of values ?(f) where ? runs over all left invariant means on m(s) coincides with the set of constants in the weak* closed convex hull of right translates of f. th...

Let E be a nite set equipped with a group G of bijective transformations and suppose that X is an irreducible Markov chain on E that is equivariant under the action of G. In particular, if E = G with the corresponding transformations being left or right multiplication, then X is a random walk on G. We show that when X is started at a xed point there is a stopping time U such that the distributi...

Abstract We describe all Carnot algebras with growth vector (2, 3, 5, 6), their normal forms, an invariant that separates them, and a change of basis transforms such algebra into form. For each form, Casimir functions symplectic foliations on the Lie coalgebra are computed. An forms left-invariant 6)-distributions described. A classification, up to isometries, sub-Riemannian structures 6)-Carno...

Ultrasound techniques allow us to measure the integral of the inner product of a vector eld with the propagation direction. E cient sampling schemes obtained in scalar tomography are extended to vector eld tomography. Reconstructions from interlaced sampling are compared with reconstructions from the corresponding standard sampling. 2

Targets and objects registration and tracking in a sequence of images play an important role in various areas. One of the methods in image registration is feature-based algorithm which is accomplished in two steps. The first step includes finding features of sensed and reference images. In this step, a scale space is used to reduce the sensitivity of detected features to the scale changes. Afterw...

In this paper, we discuss several relations between the existence of invariant volume forms for Hamiltonian systems on Poisson-Lie groups and unimodularity structure. particular, prove that vector fields a Lie group endowed with unimodular structure preserve multiple any left-invariant group. Conversely, also if there exists function such identity element is nondegenerate singularity associated...