Motivated by both established and new applications, we study navigational query languages for graphs (binary relations). The simplest language has only the two operators union and composition, together with the identity relation. We make more powerful languages by adding any of the following operators: intersection; set difference; projection; coprojection; converse; transitive closure; and the...

 After the classification of the flag-transitive linear spaces, the attention has been turned to line-transitive linear spaces. In this article, we present a partial classification of the finite linear spaces $mathcal S$ on which an almost simple group $G$ with the socle $G_2(q)$ acts line-transitively.

We consider random perturbations of a topologically transitive local diffeomorphism Riemannian manifold. show that if an absolutely continuous ergodic stationary measures is expanding (all Lyapunov exponents positive), then there Gibbs–Markov–Young structure which can be used to lift measure. also prove the original map admits finite number invariant sufficiently small stochastic perturbation a...

Circle exchange transformations (CETs) and interval exchange transformations (IETs) form a fundamental class of objects studied in measurable dynamics, noted for their simple definition yet rich variety of behaviours (see [16]). They arise naturally in the study of polygonal billiards (see [1]), measured foliations (see [2, 9]) and flat surfaces (see [17, 18]). Moreover, transitive CETs arise i...

We investigated dictionary based cross language information retrieval using lexical triangulation. Lexical triangulation combines the results of different transitive translations. Transitive translation uses a pivot language to translate between two languages when no direct translation resource is available. We took German queries and translated then via Spanish, or Dutch into English. We compa...

Bonatti and Langevin gave an example of Anosov flow which is transitive, admits a transverse torus, but is not topologically conjugate to a suspension flow. We give another description of this example as a suspension flow of a pseudo-Anosov map on the 2-sphere surgered along two closed orbits and generalize it to produce infinitely many examples with same properties.

Let f:X?X be a continuous map on compact metric space X and let ?f, ?f ICTf denote the set of ?-limit sets, ?-limit sets nonempty closed internally chain transitive respectively. In this paper we characterise, by introducing novel variants shadowing, maps for which every element is equal to (resp. may approximated by) same full trajectory. We construct examples highlighting difference between t...

Graphs possessing a high degree of symmetry have often been considered in topological graph theory. For instance, a number of constructions of genus embeddings by means of current or voltage graphs is based on the observation that a graph can be represented as a Cayley graph for some group. Another kind of embedding problems where symmetrical graphs are encountered is connected with regular map...

How do children map linguistic representations onto the conceptual structures that they encode? In the present studies, we provided 3–4-year-old children with minimal-pair scene contrasts in order to determine the effect of particular event properties on novel verb learning. Specifically, we tested whether spatiotemporal cues to causation also inform children’s interpretation of transitive verb...