scholarly journals On metric properties of maps between Hamming spaces and related graph homomorphisms

2017 ◽  
Vol 145 ◽  
pp. 227-251 ◽  
Author(s):  
Yury Polyanskiy
Keyword(s):  
Metric Properties ◽  
Graph Homomorphisms ◽  
Related Graph

Fuzzy Labeling on Cycle Related Graph

2019 ◽  
Vol 7 (6) ◽  
pp. 1192-1194
Author(s):  
M.K. Pandurangan ◽  
T. Bharathi ◽  
S.Antony Vinoth
Keyword(s):  
Related Graph

scholarly journals Dynamics of Systems with a Discontinuous Hysteresis Operator and Interval Translation Maps

Axioms ◽  
2021 ◽  
Vol 10 (2) ◽  
pp. 80
Author(s):  
Sergey Kryzhevich ◽  
Viktor Avrutin ◽  
Nikita Begun ◽  
Dmitrii Rachinskii ◽  
Khosro Tajbakhsh
Keyword(s):  
Risk Management ◽  
Invariant Measure ◽  
Invariant Measures ◽  
Interval Exchange ◽  
Management Model ◽  
Closing Lemma ◽  
Symbolic Model ◽  
Metric Properties ◽  
Ergodic Measures ◽  
Maximal Invariant

We studied topological and metric properties of the so-called interval translation maps (ITMs). For these maps, we introduced the maximal invariant measure and demonstrated that an ITM, endowed with such a measure, is metrically conjugated to an interval exchange map (IEM). This allowed us to extend some properties of IEMs (e.g., an estimate of the number of ergodic measures and the minimality of the symbolic model) to ITMs. Further, we proved a version of the closing lemma and studied how the invariant measures depend on the parameters of the system. These results were illustrated by a simple example or a risk management model where interval translation maps appear naturally.

Graph homomorphisms

2021 ◽  
pp. 262-293
Author(s):  
Pavol Hell ◽  
Jaroslav Nešetřil
Keyword(s):  
Graph Homomorphisms

scholarly journals The Walking Index for Spinal Cord Injury (WISCI/WISCI II): nature, metric properties, use and misuse

Spinal Cord ◽  
2013 ◽  
Vol 51 (5) ◽  
pp. 346-355 ◽  
Author(s):  
J F Ditunno ◽  
P L Ditunno ◽  
G Scivoletto ◽  
M Patrick ◽  
M Dijkers ◽  
...  
Keyword(s):  
Spinal Cord ◽  
Spinal Cord Injury ◽  
Metric Properties ◽  
Cord Injury

Homology of the line graph and of related graph-valued functions

1991 ◽  
Vol 56 (4) ◽  
pp. 400-404 ◽  
Author(s):  
Erich Prisner
Keyword(s):  
Line Graph ◽  
Related Graph

Topological and metric properties of sets of real numbers with conditions on their expansions in Ostrogradskii series

2007 ◽  
Vol 59 (9) ◽  
pp. 1281-1299
Author(s):  
O. M. Baranovs’kyi ◽  
M. V. Prats’ovytyi ◽  
H. M. Torbin
Keyword(s):  
Real Numbers ◽  
Metric Properties

scholarly journals Geometry and topology of the space of Kähler metrics on singular varieties

2018 ◽  
Vol 154 (8) ◽  
pp. 1593-1632 ◽  
Author(s):  
Eleonora Di Nezza ◽  
Vincent Guedj
Keyword(s):  
Einstein Metrics ◽  
Normal Space ◽  
Fano Varieties ◽  
Kähler Metrics ◽  
Kahler Metrics ◽  
Metric Properties ◽  
Singular Varieties ◽  
Underlying Space ◽  
And Topology ◽  
Kähler Einstein Metrics

Let $Y$ be a compact Kähler normal space and let $\unicode[STIX]{x1D6FC}\in H_{\mathit{BC}}^{1,1}(Y)$ be a Kähler class. We study metric properties of the space ${\mathcal{H}}_{\unicode[STIX]{x1D6FC}}$ of Kähler metrics in $\unicode[STIX]{x1D6FC}$ using Mabuchi geodesics. We extend several results of Calabi, Chen, and Darvas, previously established when the underlying space is smooth. As an application, we analytically characterize the existence of Kähler–Einstein metrics on $\mathbb{Q}$-Fano varieties, generalizing a result of Tian, and illustrate these concepts in the case of toric varieties.

The metric properties of a novel non-motor symptoms scale for Parkinson's disease: Results from an international pilot study

2007 ◽  
Vol 22 (13) ◽  
pp. 1901-1911 ◽  
Author(s):  
Kallol Ray Chaudhuri ◽  
Pablo Martinez-Martin ◽  
Richard G. Brown ◽  
Kapil Sethi ◽  
Fabrizio Stocchi ◽  
...  
Keyword(s):  
Parkinson’S Disease ◽  
Parkinson's Disease ◽  
Pilot Study ◽  
Motor Symptoms ◽  
Metric Properties ◽  
Non Motor Symptoms
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