Results 51 to 60 of about 92,426 (217)
Examples of the Application of Nonparametric Information Geometry to Statistical Physics
Entropy, 2013 We review a nonparametric version of Amari’s information geometry in which the set of positive probability densities on a given sample space is endowed with an atlas of charts to form a differentiable manifold modeled on Orlicz Banach spaces.
Giovanni Pistone
doaj +1 more source
Banach Poisson-Lie groups and Bruhat-Poisson structure of the restricted Grassmannian [PDF]
Communications in Mathematical Physics 373, 795--858, 2020, 2018 The first part of this paper is devoted to the theory of Poisson-Lie groups in the Banach setting. Our starting point is the straightforward adaptation of the notion of Manin triples to the Banach context. The difference with the finite-dimensional case lies in the fact that a duality pairing between two non-reflexive Banach spaces is necessary weak ...
arxiv +1 more source
Constrained extremal solutions of multi-valued linear inclusions in Banach spaces
Journal of Inequalities and Applications, 2016 Let X and Y be Banach spaces, L be a linear manifold in X × Y $X\times Y$ , or, equivalently, the graph of a multi-valued linear operator from X to Y, and let S be a prescribed hyperplane in X, i.e. S = g + N $S=g+N$ .
Zi Wang, Boying Wu, Yuwen Wang
doaj +1 more source
The H\"older-Poincar\'e Duality for $L_{q,p}$-cohomology [PDF]
, 2009 We prove the following version of Poincare duality for reduced $L_{q,p}$-cohomology: For any ...
G. Carron +25 more
core +2 more sources
Наукові вісті Національного технічного університету України "Київський політехнічний інститут", 2017 Background. The area formulae are well known for surfaces embedded into a finite-dimensional Euclidean space. However, in the case of an infinite-dimensional Banach manifold, such formulae cannot be used.
Kateryna V. Moravetska
doaj +1 more source
Second order tangent bundles of infinite dimensional manifolds
, 2003 The second order tangent bundle $T^{2}M$ of a smooth manifold $M$ consists of the equivalent classes of curves on $M$ that agree up to their acceleration.
C.T.J. Dodson +8 more
core +2 more sources
Approximation of holomorphic mappings on strongly pseudoconvex domains
, 2009 Let D be a relatively compact strongly pseudoconvex domain in a Stein manifold, and let Y be a complex manifold. We prove that the set A(D,Y), consisting of all continuous maps from the closure of D to Y which are holomorphic in D, is a complex Banach ...
Barbara Drinovec-Drnovšek +11 more
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Communications on Pure and Applied Mathematics, EarlyView.Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
wiley +1 more source
Advancing Food Safety in Bangladesh: Challenges and the Promise of Smart Sensor Technology
Food Safety and Health, EarlyView.This study critically analyzes prevalent food safety hazards in Bangladesh and identifies key challenges in food safety practices and regulations. It discusses factors influencing food safety and explores strategies to enhance public health. Additionally, advancements in smart sensor‐based detection methods for food hazards are highlighted to offer ...
Md Wadud Ahmed, Mohammed Kamruzzaman
wiley +1 more source
A manifold structure for the group of orbifold diffeomorphisms of a smooth orbifold [PDF]
, 2006 For a compact, smooth C^r orbifold (without boundary), we show that the topological structure of the orbifold diffeomorphism group is a Banach manifold for finite r \ge 1 and a Frechet manifold if r=infty.
Borzellino, Joseph E., Brunsden, Victor
core +5 more sources