We provide new non-trivial quantitative information on the behavior of Poincaré recurrence. In particular we establish the almost everywhere coincidence of the recurrence rate and of the pointwise dimension for a large class of repellers, including repellers without finite Markov partitions. Using this information, we are able to show that for locally maximal hyperbolic sets the recurrence rate...

the paper studies of the effect the related and unrelated diversification for products and ownership structure on capital structure for a sample of 87 firms out of 19 industry listed on the tehran stock exchange during the period 2004- 2009. for to regress of models to apply of multivariate approach include panel data and cross-sectional regressions. this study adopts panel fixed effects regres...

New relations involving curvature components for the various connections appearing in the theory of almost product manifolds are given and the conformal behaviour of these connections are studied. New identities for the irreducible parts of the deformation tensor are derived. Some direct physical applications in Kaluza–Klein and gauge theory are discussed. [email protected] [email protected]

A Riemannian manifold endowed with k≥2 complementary pairwise orthogonal distributions is called a almost k-product manifold. In the article, we study following problem: find relationship between intrinsic and extrinsic invariants of isometrically immersed in another For such immersions, establish an inequality that includes mixed scalar curvature square mean curvature. Although tensor belongs ...