Results 11 to 20 of about 300,548 (279)
Intrinsic metrics on graphs: A survey [PDF]
, 2015 A few years ago various disparities for Laplacians on graphs and manifolds were discovered. The corresponding results are mostly related to volume growth in the context of unbounded geometry.
Keller, Matthias
core +2 more sources
Local Equivalence and Intrinsic Metrics between Reeb Graphs [PDF]
, 2017 As graphical summaries for topological spaces and maps, Reeb graphs are common objects in the computer graphics or topological data analysis literature. Defining good metrics between these objects has become an important question for applications, where ...
Carrière, Mathieu, Oudot, Steve
core +6 more sources
Introducing a New Intrinsic Metric [PDF]
Results in Mathematics, 2022 AbstractA new intrinsic metric called the t-metric is introduced. Several sharp inequalities between this metric and the most common hyperbolic type metrics are proven for various domains $$G\subsetneq \mathbb {R}^n$$ G ⊊ R
Oona Rainio, Matti Vuorinen
openaire +5 more sources
Bulletin of the Malaysian Mathematical Sciences Society, 2021 AbstractThe point pair function $$p_G$$ p G defined in a domain $$G\subsetneq {\mathbb {R}}^n$$ G ⊊ R
openaire +3 more sources
Intrinsic Dimension Estimation for Discrete Metrics
Physical Review Letters, 2023 Real world-datasets characterized by discrete features are ubiquitous: from categorical surveys to clinical questionnaires, from unweighted networks to DNA sequences. Nevertheless, the most common unsupervised dimensional reduction methods are designed for continuous spaces, and their use for discrete spaces can lead to errors and biases.
Macocco, Iuri +3 more
openaire +3 more sources
Intrinsic metrics in ring domains [PDF]
Complex Analysis and its Synergies, 2022 AbstractThree hyperbolic-type metrics including the triangular ratio metric, the$$j^*$$j∗-metric, and the Möbius metric are studied in an annular ring. The Euclidean midpoint rotation is introduced as a method to create upper and lower bounds for these metrics, and their sharp inequalities are found. A new Möbius-invariant lower bound is proved for the
openaire +3 more sources
Intrinsic metrics in polygonal domains
Mathematische Nachrichten, 2023 AbstractWe study inequalities between the hyperbolic metric and intrinsic metrics in convex polygonal domains in the complex plane. A special attention is paid to the triangular ratio metric in rectangles. A local study leads to investigation of the relationship between the conformal radius at an arbitrary point of a planar domain and the distance of ...
Dina Dautova +3 more
openaire +2 more sources
Einstein metrics via intrinsic or parallel torsion [PDF]
Mathematische Zeitschrift, 2004 The classification of Riemannian manifolds by the holonomy group of their Levi-Civita connection picks out many interesting classes of structures, several of which are solutions to the Einstein equations. The classification has two parts. The first consists of isolated examples: the Riemannian symmetric spaces.
Cleyton, R., Swann, Andrew
openaire +4 more sources
Metrics and spectral triples for Dirichlet and resistance forms [PDF]
, 2013 The article deals with intrinsic metrics, Dirac operators and spectral triples induced by regular Dirichlet and resistance forms. We show, in particular, that if a local resistance form is given and the space is compact in resistance metric, then the ...
Hinz, Michael +2 more
core +1 more source
Stylometry Metrics Selection for Creating a Model for Evaluating the Writing Style of Authors According to Their Cultural Orientation [PDF]
Informatică economică, 2015 The present paper starts from a short introduction of the major aspects debated regarding plagiarism and author identification, along with the principles that are at the base of forming the property rights laws within the European community and the Anglo-
Madalina ZURINI
doaj +1 more source