Results 221 to 230 of about 565,556 (249)

BOUNDARY PARAMETRIZATION AND THE TOPOLOGY OF TILES

Nagoya Mathematical Journal, 2016
As an application of the boundary parametrization developed in our previous papers, we propose a new method to deduce information on the connected components of the interior of tiles. This gives a systematic way to study the topology of a certain class of self-affine tiles. An example due to Bandt and Gelbrich is examined to prove the efficiency of the
Benoît Loridant, Shigeki Akiyama
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Persistent topology of decision boundaries

2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2015
Topological signal processing, especially persistent homology, is a growing field of study for analyzing sets of data points that has been heretofore applied to unlabeled data. In this work, we consider the case of labeled data and examine the topology of the decision boundary separating different labeled classes.
Karthikeyan Natesan Ramamurthy, Kush R. Varshney   +1 more
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Entropy and topology for manifolds with boundary

Nuclear Physics B - Proceedings Supplements, 1997
A relation between the thermodynamical properties and the topology of manifolds with boundary is obtained. The expression for the Euler characteristic, through the Gauss-Bonnet integral, and that for the entropy of gravitational instantons are proposed in a form which makes the relation between them self-evident.
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Arresting grain boundaries with topology [PDF]

Nature Materials, 2021
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On the Bishop boundary in topological algebras

Rendiconti del Circolo Matematico di Palermo, 1997
We characterize the existence of the Bishop boundary in the context of an Urysohn (topological) algebra, by means ofG δ points. Considering a subset of its spectrum and the restriction of its Gel'fand transform algebra on the previous subset, we realize its Bishop boundary, as the trace of the Bishop boundary of the initial algebra on the spectrum of ...
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A Poisson boundary for topological semigroups

Archiv der Mathematik, 2014
We give a non-probabilistic proof for the boundary integral representation of μ-harmonic functions on topological semigroups.
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Carrier grain boundary scattering in thermoelectric materials

Energy and Environmental Science, 2022
Chaoliang Hu, Chenguang Fu, Xinbing Zhao
exaly  

The Topological Structure of Grain Boundaries

1990
It is shown that grain boundaries are quasiperodic tilings made of inflatable sequences of structural units. A general grain boundary is a quasiperodic grid of dislocations with the same inflation multiplier (a quadratic irrational) in every direction.
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Tunneling boundary condition and topology change

Physical Review D, 1995
In this paper the tunneling boundary condition is reexamined in terms of the Morse function. The use of this function permits one, on the one hand, to describe the shape of the singularity when topology change is allowed, and, on the other hand, to define, in the same situation, a slicing procedure which allows one to define the boundary of superspace ...
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On Topologies and Boundaries in Potential Theory

1971
General notions of thinness and fine topology.- Notion of reduced function. Applications. Strong thinness and strong unthinness.- General results on fine limits.- Quasi-topological notions.- Weak thinness.- Notions in classical potential theory.- Classical fine topology-general properties.- Applications to balayage, weights and capacities.- Further ...
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