Xavier University of Louisiana

output

20012026

most citedAbsolute-Magnitude Distributions of Supernovae

148 citations

25 papers

cs.DM2026

Fibonacci and Catalan Numbers Meet in Staircase Polyominoes

Jean-Luc Baril, José Luis Ramírez, Samuel Ramírez +1

We study Fibonacci (staircase) polyominoes, a class of column-convex polyominoes whose lower boundary is a staircase with unit vertical steps. We derive multivariate generating fun…

physics.pop-ph2025

Einstein's Cat -- A Thought Experiment Against Anti-Relativist Claims

Val G. Rousseau

When faced with overwhelming evidence supporting the reality of time dilation, confirmed in particular by the Hafele-Keating experiment, some anti-relativists reluctantly concede t…

math.CA2023

Estimating the $k$ th coefficient of $(f (z))^{n}$ when $k$ is not too large

Valerio De Angelis

We derive asymptotic estimates for the coefficient of $z^{k}$ in $(f (z))^{n}$ when $n \to \infty$ and $k$ is of order $n^{δ}$ , where $0 < δ < 1,$ and…

math.HO2023★ 6 cited

Stirling's Series Revisited

Valerio De Angeis

A concise and elementary derivation of the complete asymptotic expansion for the factorial function $n!$ is presented. This treatment produces a new expression for the coefficients…

nlin.PS2021★ 13 cited

Continuous-wave stability and multi-pulse structures in a universal Complex Ginzburg-Landau model for passively mode-locked lasers with saturable absorber

D. Jr. Fandio Jubgang, Alain M. Dikande, A. Sunda-Meya

The dynamics and stability of continuous-wave and multi-pulse structures are studied theoretically, for a generalized model of passively mode-locked fiber laser with an arbitrary n…

math.AG2021★ 3 cited

The Deligne-Simpson problem for connections on $G_{m}$ with a maximally ramified singularity

Maitreyee C. Kulkarni, Neal Livesay, Jacob P. Matherne +2

The classical additive Deligne-Simpson problem is the existence problem for Fuchsian connections with residues at the singular points in specified adjoint orbits. Crawley-Boevey fo…