Results 1 to 10 of about 682,080 (270)
Dual Connections in Nonparametric Classical Information Geometry [PDF]
Annals of the Institute of Statistical Mathematics, 2010 We construct an infinite-dimensional information manifold based on exponential Orlicz spaces without using the notion of exponential convergence. We then show that convex mixtures of probability densities lie on the same connected component of this ...
Grasselli, M. R.
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Towards a dual spin network basis for (3+1)d lattice gauge theories and topological phases
Journal of High Energy Physics, 2018 Using a recent strategy to encode the space of flat connections on a three-manifold with string-like defects into the space of flat connections on a so-called 2d Heegaard surface, we propose a novel way to define gauge invariant bases for (3+1)d lattice ...
Clement Delcamp, Bianca Dittrich
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From Dual Connections to Almost Contact Structures
Mathematics, 2022 A dualistic structure on a smooth Riemaniann manifold M is a triple (M,g,∇) with g a Riemaniann metric and ∇ an affine connection generally assumed to be torsionless. From g and ∇, dual connection ∇* can be defined.
Emmanuel Gnandi, Stéphane Puechmorel
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Mathematics, 2022 In this study, some identities involving the Riemannian curvature invariants are presented on lightlike hypersurfaces of a statistical manifold in the Lorentzian settings. Several inequalities characterizing lightlike hypersurfaces are obtained.
Oğuzhan Bahadır +3 more
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On Almost Norden Statistical Manifolds
Entropy, 2022 We consider a statistical connection ∇ on an almost complex manifold with (pseudo-) Riemannian metric, in particular the Norden metric. We investigate almost Norden (statistical) manifolds under the condition that the almost complex structure J is ...
Leila Samereh +2 more
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Conformal Control Tools for Statistical Manifolds and for γ-Manifolds
Mathematics, 2022 The theory of statistical manifolds w.r.t. a conformal structure is reviewed in a creative manner and developed. By analogy, the γ-manifolds are introduced. New conformal invariant tools are defined.
Iulia-Elena Hirica +3 more
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Journal of Graph Theory, 2022 AbstractThe dual of a polyhedron is a polyhedron—or in graph‐theoretical terms: the dual of a 3‐connected plane graph is a 3‐connected plane graph. Astonishingly, except for sufficiently large facewidth, not much is known about the connectivity of the dual on higher surfaces. Are the duals of 3‐connected embedded graphs of higher genus 3‐connected, too?
Drago Bokal +2 more
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Affine Differential Geometric Control Tools for Statistical Manifolds
Mathematics, 2021 The paper generalizes and extends the notions of dual connections and of statistical manifold, with and without torsion. Links with the deformation algebras and with the Riemannian Rinehart algebras are established.
Iulia-Elena Hirica +3 more
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G-dual Teleparallel Connections in Information Geometry
Information Geometry, 2023 Abstract Given a real, finite-dimensional, smooth parallelizable Riemannian manifold $$(\mathcal {N},G)$$ ( N ,
F. M. Ciaglia +3 more
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Connections between Linear Complementary Dual Codes, Permanents and Geometry
Mathematics, 2023 Linear codes with complementary duals, or LCD codes, have recently been applied to side-channel and fault injection attack-resistant cryptographic countermeasures.
Adel N. Alahmadi +5 more
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