Results 81 to 90 of about 16,494 (299)
Chemistry – A European Journal, EarlyView.Understanding aromaticity has evolved from benzene‐centric concepts to a broad multidimensional framework spanning organic, inorganic, and excited‐state systems. This review highlights ambiguities between magnetic, electronic, geometric, and energetic descriptors, emphasizing the need for unified, multi‐criteria approaches.
Sílvia Escayola +2 more
wiley +1 more source
TRIANGLES, SQUARES AND GEODESICS
International Journal of Algebra and Computation, 2012 In the early 1990s Steve Gersten and Hamish Short proved that compact nonpositively curved triangle complexes have biautomatic fundamental groups and that compact nonpositively curved square complexes have biautomatic fundamental groups. In this paper we report on the extent to which results such as these extend to nonpositively curved complexes built
Rena Levitt, Jon McCammond
openaire +3 more sources
The life and work of Ernest Sydney Keeping
Canadian Journal of Statistics, EarlyView.Abstract This article reviews the life and contributions of Ernest S. Keeping (1895–1984), a British‐born physicist who became a mathematics professor at the University of Alberta in 1929. He played a pivotal role in shaping the university's Mathematics Department, serving as its head from 1954 to 1961, and continuing to teach until 1970, nine years ...
David R. Bellhouse, Christian Genest
wiley +1 more source
, 2013 The goal of the thesis is to create an overivew of geodesics. At the beginning of their study, they were considered shortest paths connecting two points on surfaces.
Čambalová, Kateřina
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Hypersurface Constrained Elasticae in Lorentzian Space Forms
Advances in Mathematical Physics, 2015 We study geodesics in hypersurfaces of a Lorentzian space form M1n+1(c), which are critical curves of the M1n+1(c)-bending energy functional, for variations constrained to lie on the hypersurface. We characterize critical geodesics showing that they live
Óscar J. Garay +2 more
doaj +1 more source
Black-Box Optimization Using Geodesics in Statistical Manifolds
Entropy, 2015 Information geometric optimization (IGO) is a general framework for stochastic optimization problems aiming at limiting the influence of arbitrary parametrization choices: the initial problem is transformed into the optimization of a smooth function on a
Jérémy Bensadon
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Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
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The Entropy-Based Quantum Metric
Entropy, 2014 The von Neumann entropy S( D ^ ) generates in the space of quantum density matrices D ^ the Riemannian metric ds2 = −d2S( D ^ ), which is physically founded and which characterises the amount of quantum information lost by mixing D ...
Roger Balian
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Planar Coulomb Gas on a Jordan Arc at Any Temperature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study a planar Coulomb gas confined to a sufficiently smooth Jordan arc γ$\gamma$ in the complex plane, at inverse temperature β>0$\beta > 0$. Let Z¯nβ(γ)=Znβ(γ)((2cap(γ))βn2/2e(1−β/2)n(H(νe,γ)−H(νe,I)),$$\begin{equation*} \bar{Z}_{n}^\beta (\gamma)=\frac{Z_n^\beta (\gamma)}{((2\text{cap}(\gamma))^{\beta n^2/2}e^{(1-\beta /2)n(H(\nu _{e ...
K. Courteaut, K. Johansson, F. Viklund
wiley +1 more source
GEOMETRIC ANALYSIS OF PLANAR SHAPES WITH APPLICATIONS TO CELL DEFORMATIONS
Image Analysis and Stereology, 2015 Shape analysis is of great importance in many fields such as computer vision, medical imaging, and computational biology. In this paper we focus on a shape space in which shapes are represented by means of planar closed curves.
Ximo Gual-Arnau +2 more
doaj +1 more source