Results 41 to 50 of about 24,975 (207)
Health & Justice, 2023 Background Previous studies about health in prisons conclude that incarceration has detrimental consequences for physical and mental health. It is associated with weight gain, decreased fitness, increased cardiovascular risks, and increased risks for ...
Michael Mutz, Johannes Müller
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The δ(2,2)-Invariant on Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature [PDF]
Entropy, 2020 We establish Chen inequality for the invariant δ ( 2 , 2 ) on statistical submanifolds in Hessian manifolds of constant Hessian curvature. Recently, in co-operation with Chen, we proved a Chen first inequality for such submanifolds. The present authors previously initiated the investigation of statistical submanifolds in Hessian manifolds of ...
Adela Mihai, Ion Mihai
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Stability of the Mezard-Parisi solution for random manifolds
, 1996 The eigenvalues of the Hessian associated with random manifolds are constructed for the general case of $R$ steps of replica symmetry breaking. For the Parisi limit $R\to\infty$ (continuum replica symmetry breaking) which is relevant for the manifold ...
Carlucci, D. M. +2 more
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Locally conformally Hessian and statistical manifolds
Journal of Geometry and Physics, 2023 A statistical manifold $\left(M,D,g\right)$ is a manifold $M$ endowed with a torsion-free connection $D$ and a Riemannian metric $g$ such that the tensor $D g$ is totally symmetric. If $D$ is flat then $\left(M,g,D\right)$ is a Hessian manifold. A locally conformally Hessian (l.c.H) manifold is a quotient of a Hessian manifold $(C,\nabla,g)$ such that ...
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Hyperbolic compactification of M-theory and de Sitter quantum gravity
SciPost Physics, 2022 We present a mechanism for accelerated expansion of the universe in the generic case of negative-curvature compactifications of M-theory, with minimal ingredients. M-theory on a hyperbolic manifold with small closed geodesics supporting Casimir energy
G. Bruno De Luca, Eva Silverstein, Gonzalo Torroba
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Interpolation in non-positively curved K\"ahler manifolds
, 2001 We extend to any simply connected K\"ahler manifold with non-positive sectional curvature some conditions for interpolation in $\mathbb{C}$ and in the unit disk given by Berndtsson, Ortega-Cerd\`a and Seip.
B. Berndtsson +10 more
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Lagrange geometry on tangent manifolds
International Journal of Mathematics and Mathematical Sciences, 2003 Lagrange geometry is the geometry of the tensor field defined by the fiberwise Hessian of a nondegenerate Lagrangian function on the total space of a tangent bundle. Finsler geometry is the geometrically most interesting case of Lagrange geometry.
Izu Vaisman
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Combinatorial Optimization with Information Geometry: The Newton Method
Entropy, 2014 e discuss the use of the Newton method in the computation of max(p → Εp [f]), where p belongs to a statistical exponential family on a finite state space.
Luigi Malagò, Giovanni Pistone
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A Note on Killing Calculus on Riemannian Manifolds
Mathematics, 2021 In this article, it has been observed that a unit Killing vector field ξ on an n-dimensional Riemannian manifold (M,g), influences its algebra of smooth functions C∞(M).
Sharief Deshmukh +3 more
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Heat Kernel Asymptotics, Path Integrals and Infinite-Dimensional Determinants
, 2018 We investigate the short-time expansion of the heat kernel of a Laplace type operator on a compact Riemannian manifold and show that the lowest order term of this expansion is given by the Fredholm determinant of the Hessian of the energy functional on a
Ludewig, Matthias
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