Topic
Morse code
About: Morse code is a research topic. Over the lifetime, 865 publications have been published within this topic receiving 10753 citations.
Papers published on a yearly basis
1 / 2
Papers
TL;DR: In this paper , it was shown that a homeomorphism between the Morse boundaries of two proper, cocompact spaces is induced by a quasi-isometry if and only if both the homeomorphisms and its inverse are bihölder, or quasi-symmetric, or strongly quasi-conformal.
Abstract: For a proper geodesic metric space, the Morse boundary focuses on the hyperbolic-like directions in the space. The Morse boundary is a quasi-isometry invariant. That is, a quasi-isometry between two spaces induces a homeomorphism on their Morse boundaries. In this paper, we investigate additional structures on the Morse boundary which determine the space up to a quasi-isometry. We prove that a homeomorphism between the Morse boundaries of two proper, cocompact spaces is induced by a quasi-isometry if and only if both the homeomorphism and its inverse are bihölder, or quasi-symmetric, or strongly quasi-conformal.
TL;DR: Using homological linking and morse theory, the existence of multiple nontrivial periodic solutions of the second ordinary differential equation (SEDE) was shown in this article . But the problem was not studied in this paper.
Abstract: In this paper, we are interested in the existence of multiple nontrivial $ T $-periodic solutions of the nonlinear second ordinary differential equation $ \ddot{x}+V_x(t, x) = 0 $ in $ N(\geq 1) $ dimensions. Using homological linking and morse theory, we get at least two critical points of the functional corresponding to our problem. And, we also prove that two critical points are different by critical groups. Then, we obtain there are at least two nontrivial $ T $-periodic solutions of the problem.
27 Oct 2022
TL;DR: By using a point canonical transformation starting from the constant-mass Schrodinger equation for the Morse potential, it was shown that a semi-infinite quantum well model with a non-rectangular profile associated with a position-dependent mass that becomes infinite for some negative value of the position, while going to a constant for a large positive value as discussed by the authors .
Abstract: By using a point canonical transformation starting from the constant-mass Schr\"odinger equation for the Morse potential, it is shown that a semi-infinite quantum well model with a non-rectangular profile associated with a position-dependent mass that becomes infinite for some negative value of the position, while going to a constant for a large positive value of the latter, can be easily derived. In addition, another type of semi-infinite quantum well associated with the same position-dependent mass is constructed and solved by starting from the Rosen-Morse II potential instead of the Morse one.
14 Mar 2023
TL;DR: In this paper , it was shown that the orbit space of the subgroup complex of a finite group is contractible using Brown-Forman discrete Morse theory, which was originally conjectured by Webb and proved by Symonds.
Abstract: We give a simple proof that the orbit space of the $p$-subgroup complex of a finite group is contractible using Brown-Forman discrete Morse theory. This result was originally conjectured by Webb and proved by Symonds.
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 118 |
| 2024 | 204 |
| 2023 | 228 |
| 2022 | 339 |
| 2021 | 41 |
| 2020 | 59 |