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Deformations of smooth functions on 2-torus
Pracì Mìžnarodnogo Geometričnogo Centru, 2019 Let $f$ be a Morse function on a smooth compact surface $M$ and $\mathcal{S}'(f)$ be the group of $f$-preserving diffeomorphisms of $M$ which are isotopic to the identity map.
Bohdan Feshchenko
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Dynamics of Some Perturbed Morse-Type Oscillators: Simulations and Applications
MathematicsThe purpose of this paper is to investigate some Morse-type oscillators. In its original form, it is a model for describing the vibrations of a diatomic molecule.
Nikolay Kyurkchiev +5 more
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Morse Theory for Continuous Functionals
Journal of Mathematical Analysis and Applications, 1995 In an earlier paper, the author, \textit{M. Degiovanni} and \textit{M. Marzocchi} [Topol. Methods Nonlinear Anal. 1, No. 1, 151-171 (1993; Zbl 0789.58021)] developed some Lyusternik-Schnirelmann theory for (lower semi-) continuous functions \(X \to \mathbb{R} \cup \{\infty\}\) where \(X\) is a complete metric space.
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Cascades and perturbed Morse–Bott functions [PDF]
Algebraic & Geometric Topology, 2013 34 pages, 2 ...
Banyaga, Augustin, Hurtubise, David E
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Morse Shellings Out of Discrete Morse Functions
Discrete & Computational Geometry22 pages, 3 ...
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Morse shellings and compatible discrete Morse functions
, 2019 28 pages, 12 ...
Salepci, Nermin, Welschinger, Jean-Yves
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Studying of the Potential Curves of Ground State of Diatomic Molecule Using Two Functions.
Science Journal of University of Zakho, 2015 Diatomic molecules have been studied theoretically for ground state X2Π of (CH,CO,LuF,HBr) free radicals . It had been constructed dissociation energy using potential curves for the ground state by using Morse and Varshini functions to calculate ...
Asma S. Atiah, Muhaj T. Abdullah
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Polynomials and Parking Functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 In a 2010 paper Haglund, Morse, and Zabrocki studied the family of polynomials $\nabla C_{p1}\dots C_{pk}1$ , where $p=(p_1,\ldots,p_k)$ is a composition, $\nabla$ is the Bergeron-Garsia Macdonald operator and the $C_\alpha$ are certain slightly modified
Angela Hicks
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Morse functions statistics [PDF]
Functional Analysis and Other Mathematics, 2007 5 pages, 2 ...
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A Parking Function Setting for Nabla Images of Schur Functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 In this article, we show how the compositional refinement of the ``Shuffle Conjecture'' due to Jim Haglund, Jennifer Morse, and Mike Zabrocki can be used to express the image of a Schur function under the Bergeron-Garsia Nabla operator as a weighted sum ...
Yeonkyung Kim
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