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The Intrinsic Metric on the Box Fractal [PDF]
Bulletin of the Iranian Mathematical Society, 2019 The box fractal is one of the typical examples of the self-similar sets obtained as the attractor of an iterated function system. In the literature, there is no work giving the intrinsic metric defined by using the code set of the box fractal. In this paper, we obtain an explicit formula for the intrinsic metric on the box fractal via the code ...
Yunus Özdemir +2 more
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Intrinsic metrics and Lipschitz functions
Journal of Evolution Equations, 2003The author studies the notion of measurable metrics and Lipschitz functions w.r.t. such metrics -- originally introduced by \textit{N. Weaver} [Stud. Math. 115, 277-289 (1995; Zbl 0839.46014)] -- on Dirichlet structures and, in particular, abstract Wiener spaces.
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Intrinsic Metrics: Definition and Basic Facts
2021In this chapter we introduce the notion of an intrinsic metric. Section 11.1 is devoted to definitions and motivations. An important class of examples are so-called path metrics, which we discuss in Section 11.2. In this section we prove a Hopf–Rinow theorem, which characterizes metric completeness.
Daniel Lenz +2 more
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Homogeneous manifolds with intrinsic metric. II
Siberian Mathematical Journal, 1989[For part I, cf. Sib. Math. J. 29, No.6, 887-897 (1988); translation from Sib. Mat. Zh. 29, No.6(172), 17-29 (1988; Zbl 0671.53036).] This paper completes the investigation of the author in the domain of the metric structure of homogeneous manifolds with intrinsic metric.
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Intrinsic metric and one-dimensional diffusions
Statistics & Probability Letters, 2019Abstract One-dimensional strongly local and regular Dirichlet forms which are irreducible can always be characterized by the so-called scale function s and speed measure m . In this paper we derive the intrinsic metric of such a Dirichlet form in terms of s and m . As an application, we give a new characterization of regular
Jiangang Ying, Wenjie Sun
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Intrinsic metrics for lattice ordered groups
Algebra Universalis, 1984zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2001
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Holomorphic retracts and intrinsic metrics in convex domains
Analysis Mathematica, 1982Доказывается, что в вы пуклых областях вС n м етрики Каратеодори и Кобаяш и совпадают. Устанавливается свя зь между геодезическ ими этих метрик и одномерными голоморфными ретрактами.
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Is a diffusion process determined by its intrinsic metric?
Chaos, Solitons & Fractals, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Intrinsic Lagrangian Metric and Stress Variables
1992Strain and stress, and their rates, are fundamental concepts. Their modeling largely depends on basic kinematic choices that need to be well defined and uncontested. As shown in [1], to which we refer also for its extensive bibliography, this is not the case in large deformation theory.
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