From the 1 of 4 linked papers with an AI index.
4 papers
Shift of the Bose-Einstein condensation transition in the presence of a second atomic species
Pedro M. Gaspar, Vanderlei S. Bagnato, Patricia C. M. Castilho
The paper derives analytical formulas for how the presence of a second atomic species shifts the Bose‑Einstein condensation critical temperature in bosonic mixtures, and illustrate…
When can minimal hypersurfaces be connected by mean curvature flow?
Jingwen Chen, Pedro Gaspar
From the perspective of Morse theory, it is natural to investigate gradient flow trajectories between critical points. In this short note, we explore the minimal hypersurface analo…
Volume spectrum of fiber bundles and the widths of Berger spheres
Jingwen Chen, Pedro Gaspar
We establish that for a fiber bundle , which is a Riemannian submersion, the volume spectrum of is bounded above by the product of the volume spectrum of and t…
Infinitely Many Surfaces with Prescribed Mean Curvature in the Presence of a Strictly Stable Minimal Surface
Pedro Gaspar, Jared Marx-Kuo
We construct infinitely many distinct hypersurfaces with prescribed mean curvature (PMC) for a large class of prescribing functions when is a closed smooth manifold…