1,722,455 research outputs found
The Global Glimm Property
No full textIt is known that a C*-algebra with the Global Glimm Property is nowhere
scattered (it has no elementary ideal-quotients), and the Global Glimm Problem
asks if the converse holds. We provide a new approach to this long-standing
problem by showing that a C*-algebra has the Global Glimm Property if and only
if it is nowhere scattered and its Cuntz semigroup is ideal-filtered (the Cuntz
classes generating a given ideal are downward directed) and has property (V) (a
weak form of being sup-semilattice ordered).
We show that ideal-filteredness and property (V) are automatic for
C*-algebras that have stable rank one or real rank zero, thereby recovering the
solutions to the Global Glimm Problem in these cases. We also use our approach
to solve the Global Glimm Problem for new classes of C*-algebras.Comment: 29 pages; minor revision; to appear in Trans. Amer. Math. So
El método de Glimm
No full textRESUMEN En contraste con otros métodos numéricos tales como diferencias finitas o elementos finitos, el método de Glimm resuelve las ondas de choque y otras discontinuidades con relativa facilidad y sin necesidad de adicionar términos de viscosidad artificial. Desafortunadamente la literatura existente sobre dicho método es, en general, difícil de entender por aquellos que encaran su estudio por primera vez. Trataremos aquí de presentar una introducción sencilla del método de Glimm y sus principales aplicaciones. SUMMARY Contrarily to other numerical methods such as finite differences or finite elements, the Glimm s Method resolves impact waves or other discontinuities with relative facility and without being necessary to add artificial viscosity terms. Unfortunately, the existing litterature on this method is, en general, difficult to understand for those who study it for the first time. Here, we shall try to present a simple introduction on the Glimm s Method and its principal applications.Peer Reviewe
El método de Glimm
No full textRESUMEN En contraste con otros métodos numéricos tales como diferencias finitas o elementos finitos, el método de Glimm resuelve las ondas de choque y otras discontinuidades con relativa facilidad y sin necesidad de adicionar términos de viscosidad artificial. Desafortunadamente la literatura existente sobre dicho método es, en general, difícil de entender por aquellos que encaran su estudio por primera vez. Trataremos aquí de presentar una introducción sencilla del método de Glimm y sus principales aplicaciones. SUMMARY Contrarily to other numerical methods such as finite differences or finite elements, the Glimm s Method resolves impact waves or other discontinuities with relative facility and without being necessary to add artificial viscosity terms. Unfortunately, the existing litterature on this method is, en general, difficult to understand for those who study it for the first time. Here, we shall try to present a simple introduction on the Glimm s Method and its principal applications.Peer Reviewe
Movies for the article "A Cellular Potts Model of the interplay of synchronization and aggregation" by R. Una and T. Glimm
No full text<p>This repository contains full movies of the simulations corresponding to Figure 2 of the article cited below. File names indicate the J- and K-values of teh corresponding parameters. Movies show simulations from 0 to 250,000 MCS (Monte Carlo Steps). For further details, see the article.</p>
<p>Una R, Glimm T. 2024. A cellular potts model of the interplay of synchronization and aggregation. PeerJ<br>12:e16974 http://doi.org/10.7717/peerj.16974</p>
El método de Glimm
No full textContrarily to other numerical methods such as finite differences or finite elements, the Glimm s Method resolves impact waves or other discontinuities with relative facility and without being necessary to add artificial viscosity terms. Unfortunately, the existing litterature on this method is, en general, difficult to understand for those who study it for the first time. Here, we shall try to present a simple introduction on the Glimm s Method and its principal applications
Dynamics of the Aggregation of Cells With Internal Oscillators
No full textSupplementary data for the manuscript "Dynamics of the Aggregation of Cells With Internal Oscillators" by T. Glimm and D. Gruszka: MATLAB files for computation and analsysi
An entropy based Glimm-type functional
No full textWe consider the Cauchy problem for a scalar conservation law in one space dimension {ut + f(u)x = 0 u(t = 0) = ũ with f ∈ C2 (ℝ, ℝ), u ∈ BV (ℝ), u(t,x): ℝ+ × ℝ → ℝ. We introduce, in this simple setting, a new Glimm-type interaction potential: the time marginal of the entropy dissipation measure of a uniformly convex entropy. We show that the Glimm estimates hold for this functional. © 2008 World Scientific Publishing Company
Dynamics of the Aggregation of Cells With Internal Oscillators
No full textSupplementary data for the manuscript "Dynamics of the Aggregation of Cells With Internal Oscillators" by T. Glimm and D. Gruszka: MATLAB files for computation and analsysi
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