Results 21 to 30 of about 3,935,207 (294)
When the Morse index is infinite [PDF]
International Mathematics Research Notices, 2004 Let f be a smooth Morse function on an infinite dimensional separable Hilbert manifold, all of whose critical points have infinite Morse index and co-index. For any critical point x choose an integer a(x) arbitrarily. Then there exists a Riemannian structure on M such that the corresponding gradient flow of f has the following property: for any pair of
ABBONDANDOLO, ALBERTO, MAJER, PIETRO
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On the Conjugate Endomorphism in the Infinite Index Case.
MATHEMATICA SCANDINAVICA, 1995 Summary: We give an algebraic characterization for the conjugate endomorphism \(\overline {\rho}\) of an endomorphism \(\rho\) of infinite index of a properly infinite von Neumann algebra \(M\) such that the set of normal faithful conditional expectations \(E(M, \rho (M))\) is not empty. In the particular case of irreducible endomorphisms we obtain the
Fidaleo, Francesco, Isola, Tommaso
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mSphere, 2021 Shannon’s entropy is a popular alpha diversity metric because it estimates both richness and evenness in a single equation. However, since its value is dependent on both those parameters, there is theoretically an infinite number of richness/evenness ...
Jeff Gauthier, Nicolas Derome
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Nonplanarity of Iterated Line Graphs
Journal of Mathematics, 2020 The 1-crossing index of a graph G is the smallest integer k such that the kth iterated line graph of G has crossing number greater than 1. In this paper, we show that the 1-crossing index of a graph is either infinite or it is at most 5.
Jing Wang
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A Planar Calculus for Infinite Index Subfactors [PDF]
Communications in Mathematical Physics, 2012 We develop an analog of Jones' planar calculus for II_1-factor bimodules with arbitrary left and right von Neumann dimension. We generalize to bimodules Burns' results on rotations and extremality for infinite index subfactors. These results are obtained without Jones' basic construction and the resulting Jones projections.
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The distinguishing index of graphs with infinite minimum degree
Journal of Graph Theory, 2023 AbstractThe distinguishing index of a graph is the least number of colors necessary to obtain an edge coloring of that is preserved only by the trivial automorphism. We show that if is a connected ‐regular graph for some infinite cardinal then , proving a conjecture of Lehner, Pilśniak, and Stawiski.
Marcin Stawiski, Trevor M. Wilson
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The Canonical Endomorphism for Infinite Index Inclusions
Zeitschrift für Analysis und ihre Anwendungen, 1999 We give purely algebraic characterisations of the canonical endomorphism in in-teresting infinite index cases, continuing previous works of Longo and the authors. We apply these results when compact and discrete (but not necessarily finite-dimensional) Woronowicz algebras act alternately on the factors in the various levels of Jones’ tower.
Fidaleo Francesco, Isola Tommaso
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Infinite symmetric ergodic index and related examples in infinite measure [PDF]
Studia Mathematica, 2018 We define an infinite measure-preserving transformation to have infinite symmetric ergodic index if all finite Cartesian products of the transformation and its inverse are ergodic, and show that infinite symmetric ergodic index does not imply that all products of powers are conservative, so does not imply power weak mixing.
Loh, Isaac +2 more
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A degree theory for a class of perturbed Fredholm maps
Fixed Point Theory and Applications, 2005 We define a notion of degree for a class of perturbations of nonlinear Fredholm maps of index zero between infinite-dimensional real Banach spaces. Our notion extends the degree introduced by Nussbaum for locally α-contractive perturbations of the ...
Massimo Furi +2 more
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Infinite index subalgebras of depth two [PDF]
Proceedings of the American Mathematical Society, 2008 An algebra extension A | B
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