Results 101 to 110 of about 14,182 (200)
Geometry of contrast functions and conformal geometry
Hiroshima Mathematical Journal, 1999 In information geometry, a statistical manifold is a pseudo-Riemannian manifold \((M,h)\) with distinguished torsion-free affine connection \(\nabla\) such that the covariant derivative \(\nabla h\) is symmetric. A contrast function on a smooth manifold \(M\) is a function on \(M\times M\) with specific properties. In particular, each contrast function
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Hölder differentiability of self-conformal devil's staircases
, 2014 In this paper we consider the probability distribution function of a Gibbs measure supported on a self-conformal set given by an iterated function system (devil's staircase) applied to a compact subset of ℝ. We use thermodynamic multifractal formalism to
Troscheit, S., Sascha Troscheit
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Conformally Rescaled Noncommutative Geometries
, 2015 Noncommutative geometry aims to provide a set of mathematical tools to describe spacetime, gravity and quantum field theory at small scales. The paper reviews the idea that noncommutative spaces are described in terms of algebras and their geometry, which is encoded as spectral triples.
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LARGE SOLUTIONS FOR YAMABE AND SIMILAR PROBLEMS ON DOMAINS IN RIEMANNIAN MANIFOLDS
, 2011 We present a unified approach to study large positive solutions (i.e., u(x) -> infinity as x -> partial derivative Omega) of the equation Delta u + hu - k psi(u) = -f in an arbitrary domain Omega.
Martin Dindoš, Dindos, Martin; id_orcid
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A large-D Weyl invariant string model in anti-de sitter space [PDF]
, 2002 In this thesis we present a novel scheme for calculating the bosonic string partition function on certain curved backgrounds related to Anti-de Sitter [AdS] space.
Davies, Ian James
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Entanglement entropy, conformal invariance and extrinsic geometry
, 2008 International audienceWe use the conformal invariance and the holographic correspondence to fully specify the dependence of entanglement entropy on the extrinsic geometry of the 2d surface Σ that separates two subsystems of quantum strongly coupled N=4 ...
Sergey N. Solodukhin +1 more
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Formalism for Conformal Geometry [PDF]
Proceedings of the National Academy of Sciences, 1935 openaire +3 more sources
The geometry of self-affine fractals
, 2008 In this thesis we study the dimension theory of self-affine sets. We begin by introducing a number of notions from fractal geometry, in particular, dimensions, measure properties and iterated functions systems.
Miao, Jun Jie
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Conformal Collapse Geometry: A Geometry Beyond Gödel
This paper presents a new geometric structure — Conformal Collapse Geometry (CCG) — where geometry itself is not assumed, but emerges from spectral coherence and probabilistic tension.
Mark Lindenhayn
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