Results 31 to 40 of about 18,397 (132)

The commutative core of a Leavitt path algebra [PDF]

open access: yes, 2018
For any unital commutative ring $R$ and for any graph $E$, we identify the commutative core of the Leavitt path algebra of $E$ with coefficients in $R$, which is a maximal commutative subalgebra of the Leavitt path algebra.
Canto, Cristóbal Gil   +1 more
core   +2 more sources

Large Aperiodic Semigroups [PDF]

open access: yes, 2014
The syntactic complexity of a regular language is the size of its syntactic semigroup. This semigroup is isomorphic to the transition semigroup of the minimal deterministic finite automaton accepting the language, that is, to the semigroup generated by ...
A. Kisielewicz   +11 more
core   +3 more sources

On some fundamental results about higher-rank graphs and their C*-algebras [PDF]

open access: yes, 2011
Results of Fowler and Sims show that every k-graph is completely determined by its k-coloured skeleton and collection of commuting squares. Here we give an explicit description of the k-graph associated to a given skeleton and collection of squares and ...
Aidan Sims   +10 more
core   +4 more sources

Evaluation of Acupuncture Efficacy in Modulating Brain Activity With Periodic-Aperiodic EEG Measurements

open access: yesIEEE Transactions on Neural Systems and Rehabilitation Engineering
Acupuncture is an important therapeutic method of traditional Chinese medicine and can effectively modulate brain disorders. The therapeutic efficacy of acupuncture is hard to evaluate due to lacking of effective measurements of brain activity.
Haitao Yu   +6 more
doaj   +1 more source

On diagonal quasi-free automorphisms of simple Cuntz-Krieger algebras

open access: yes, 2018
We show that an outer action of a finite abelian group on a simple Cuntz-Krieger algebra is strongly approximately inner in the sense of Izumi if the action is given by diagonal quasi-free automorphisms and the associated matrix is aperiodic.
Barlak, Selçuk, Szabó, Gábor
core   +1 more source

Periodicity in Rank 2 Graph Algebras

open access: yes, 2007
Kumjian and Pask introduced an aperiodicity condition for higher rank graphs. We present a detailed analysis of when this occurs in certain rank 2 graphs. When the algebra is aperiodic, we give another proof of the simplicity of $\ca(\Fth)$. The periodic
Cuntz   +13 more
core   +3 more sources

Patterning the Void: Combining L‐Systems with Archimedean Tessellations as a Perspective for Tissue Engineering Scaffolds

open access: yesAdvanced Functional Materials, EarlyView.
This study introduces a novel multi‐scale scaffold design using L‐fractals arranged in Archimedean tessellations for tissue regeneration. Despite similar porosity, tiles display vastly different tensile responses (1–100 MPa) and deformation modes. In vitro experiments with hMSCs show geometry‐dependent growth and activity. Over 55 000 tile combinations
Maria Kalogeropoulou   +4 more
wiley   +1 more source

Spectral Continuity for Aperiodic Quantum Systems II. Periodic Approximations in 1D

open access: yes, 2018
The existence and construction of periodic approximations with convergent spectra is crucial in solid state physics for the spectral study of corresponding Schr\"odinger operators. In a forthcoming work [9] (arXiv:1709.00975) this task was boiled down to
Beckus, Siegfried   +2 more
core   +1 more source

Generic IRS in free groups, after Bowen [PDF]

open access: yes, 2015
Let $E$ be a measure preserving equivalence relation, with countable equivalence classes, on a standard Borel probability space $(X,B,\mu)$. Let $([E],d_{u})$ be the the (Polish) full group endowed with the uniform metric.
Eisenmann, Amichai, Glasner, Yair
core   +1 more source

Improved Disorder Resilience in Small‐Footprint Photonic Cavities with Periodicity Breaking

open access: yesAdvanced Optical Materials, EarlyView.
Compact photonic crystal cavities with engineered aperiodicity are demonstrated to sustain high quality factormodes and enhanced reproducibility within a minimal footprint. Combining numerical optimization and near‐field measurements, the study reveals how controlled periodicity breaking improves disorder resilience, offering a robust and scalable ...
Nicoletta Granchi   +7 more
wiley   +1 more source

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