Search results for "TOPOLOGY"

Rotation topological factors of minimal $\mathbb {Z}^{d}$-actions on the Cantor set

2006

In this paper we study conditions under which a free minimal Z d -action on the Cantor set is a topological extension of the action of d rotations, either on the product T d of d 1-tori or on a single 1-torus T 1 . We extend the notion of linearly recurrent systems defined for Z-actions on the Cantor set to Z d -actions, and we derive in this more general setting a necessary and sufficient condition, which involves a natural combinatorial data associated with the action, allowing the existence of a rotation topological factor of one of these two types.

IFS attractors and Cantor sets

2006

Abstract We build a metric space which is homeomorphic to a Cantor set but cannot be realized as the attractor of an iterated function system. We give also an example of a Cantor set K in R 3 such that every homeomorphism f of R 3 which preserves K coincides with the identity on K.

Observation of topological gravity-capillary waves in a water wave crystal

2019

The discovery of topological phases of matter, initially driven by theoretical advances in quantum condensed matter physics, has been recently extended to classical wave systems, reaching out to a wealth of novel potential applications in signal manipulation and energy concentration. Despite the fact that many realistic wave media (metals at optical frequencies, polymers at ultrasonic frequencies) are inherently dispersive, topological wave transport in photonic and phononic crystals has so far been limited to ideal situations and proof-of-concept experiments involving dispersionless media. Here, we report the first experimental demonstration of topological edge states in a classical water …

New cytostatic agents obtained by molecular topology

1996

Abstract Four new cytostatic compounds have been obtained by computer aided selection based on Molecular Connectivity, a topological approach to molecular structural study. Three of them, namely tetracycline, doxycycline and piromidic acid are well known antibiotic agents, and the fourth, carminic acid, is an innocuous colorant. Although no previous report of activity was found, on the used cell lines, for any of the selected compounds, carminic acid may be considered a new lead one since no structure-related cytostatic molecules have been reported in the literature. These results are interesting for two reasons: First, new potential low-toxicity anticancer drugs show to be a possible thera…

Convergence in discrete Cauchy problems and applications to circle patterns

2005

A lattice-discretization of analytic Cauchy problems in two dimensions is presented. It is proven that the discrete solutions converge to a smooth solution of the original problem as the mesh size ε \varepsilon tends to zero. The convergence is in C ∞ C^\infty and the approximation error for arbitrary derivatives is quadratic in ε \varepsilon . In application, C ∞ C^\infty -approximation of conformal maps by Schramm’s orthogonal circle patterns and lattices of cross-ratio minus one is shown.

Boundary value steady solutions of a class of hydrodynamic models for vehicular traffic flow

2003

This paper deals with the solution of a boundary value problem related to a steady nonuniform description of a class of traffic flow models. The models are obtained by the closure of the mass conservation equation with a phenomenological relation linking the local mass velocity to the local density. The analysis is addressed to define the proper framework toward the identification of the parameter characterizing the model. The last part of the paper develops a critical analysis also addressed to the design of new traffic flow models.

Permeabilization of the erythrocyte membrane with streptolysin O allows access to the vacuolar membrane of Plasmodium falciparum and a molecular anal…

1997

Topological Decompositions of the Pauli Group and their Influence on Dynamical Systems

2021

In the present paper we show that it is possible to obtain the well known Pauli group $P=\langle X,Y,Z \ | \ X^2=Y^2=Z^2=1, (YZ)^4=(ZX)^4=(XY)^4=1 \rangle $ of order $16$ as an appropriate quotient group of two distinct spaces of orbits of the three dimensional sphere $S^3$. The first of these spaces of orbits is realized via an action of the quaternion group $Q_8$ on $S^3$; the second one via an action of the cyclic group of order four $\mathbb{Z}(4)$ on $S^3$. We deduce a result of decomposition of $P$ of topological nature and then we find, in connection with the theory of pseudo-fermions, a possible physical interpretation of this decomposition.

Application of molecular topology in the prediction of new compounds with anti-trypanosomal cytotoxic activity

2021

La enfermedad de Chagas es una antropozoonosis parasitaria de transmisión mayoritariamente vectorial. Si bien afecta principalmente a América, constituye una de las mayores enfermedades desatendidas a nivel mundial. Solamente dos fármacos con un alto grado de toxicidad se encuentran disponibles para su tratamiento, por lo que es preciso aunar esfuerzos en pos del desarrollo de nuevas drogas antitripanosomales eficaces y con escasos efectos adversos. En este estudio, se aplicó la topología molecular para el desarrollo de un modelo QSAR capaz de predecir la actividad citotóxica antitripanosomal de un grupo de 39 compuestos. El modelo desarrollado mediante análisis lineal discriminante permiti…

S-Methylisothioharnstoffe, Bausteine kettenverzweigter Cimetidin-DerivateS-Methylisothioureas, Synthons for Chain-Branched Cimetidine Derivates

1987

A partir de S,S-dimethyl N-cyano dithiocarbonimidate et d'amino-2' alkyl (ramifie) thiomethyl-4 methyl-5 imidazoles (A), synthese des derives de A substitues sur l'amino-2' par [cyanoimino methylthiomethyle]