Let f : X → X be the restriction to a hyperbolic basic set of a smooth diffeomorphism. If G is the special Euclidean group SE(2) we show that in the set of C2 G-extensions of f there exists an open and dense subset of stably transitive transformations. If G = K × Rn, where K is a compact connected Lie group, we show that an open and dense set of C2 G-extensions satisfying a certain separation c...

Player ONE chooses a meager set and player TWO, a nowhere dense set per inning. They play ω many innings. ONE's consecutive choices must form a (weakly) increasing sequence. TWO wins if the union of the chosen nowhere dense sets covers the union of the chosen meager sets. A strategy of TWO which depends on knowing only the uncovered part of the most recently chosen meager set is said to be a re...

This work presents a method for reconstructing 3D tongue surfaces during speech from ultrasound data. The method reduces the dimensionality of the tongue surface and maintains highly accurate reproduction of local deformation features. This modification is an essential step if multiplane tongue movements are to be reconstructed practically into tongue surface movements. Earlier work (Stone & Lu...

We compare two examples of random dense countable sets, Brownian local minima and unordered uniform infinite sample. They appear to be identically distributed. A framework for such notions is proposed. In addition, random elements of other singular spaces (especially, reals modulo rationals) are considered. Introduction For almost every Brownian path ω = (bt)t∈[0,1] on [0, 1], the set (0.1) Mω ...

We introduce the dense skip tree, a novel cache-conscious randomized data structure. Algorithms for search, insertion, and deletion are presented, and they are shown to have expected cost O(logn). The dense skip tree obeys the same asymptotic properties as the skip list and the skip tree. A series of properties on the dense skip tree is proven, in order to show the probabilistic organization of...

this article introduces a new tri-parameter law of corresponding states from the known regularities, namely the lir and zeno line for dense fluids (when tz=tc). two of these parameters are the zeno line parameters and the third parameter (the fluid parameter), has been obtained from the lir, this parameter is solely dependent upon the fluid characteristics. the third parameter can be obtaind fr...

We show that there is a C∞ open and dense set of positively curved metrics on S2 whose geodesic flow has positive topological entropy, and thus exhibits chaotic behavior. The geodesic flow for each of these metrics possesses a horseshoe and it follows that these metrics have an exponential growth rate of hyperbolic closed geodesics. The positive curvature hypothesis is required to ensure the ex...

This paper describes a method for accurate dense reconstruction of a complex scene from a small set of high-resolution unorganized still images taken by a hand-held digital camera. A fully automatic data processing pipeline is proposed. Highly discriminative features are first detected in all images. Correspondences are then found in all image pairs by wide-baseline stereo matching and used in ...

BACKGROUND The most time consuming and limiting step in three dimensional (3D) cine displacement encoding with stimulated echoes (DENSE) MR image analysis is the demarcation of the left ventricle (LV) from its surrounding anatomical structures. The aim of this study is to implement a semi-automated segmentation algorithm for 3D cine DENSE CMR using a guide point model approach. METHODS A 3D m...