4 citations · 4 across the 3 of their papers we have counts for
3 papers
math.DS2026
Trace formula for billiard flow on surfaces with concave boundary
Alain Kangabire
We study grazing closed trajectories of the billiard flow on a compact surface with concave boundary. Under a non-degeneracy condition, which is satisfied for example…
math.AP2024
Bounds on the fractal uncertainty exponent and a spectral gap
Alain Kangabire
We prove two results on Fractal Uncertainty Principle (FUP) for discrete Cantor sets with large alphabets. First, we give an example of an alphabet with dimension $δ\in (\frac12,1)…
q-bio.PE2021★ 4 cited
A Dynamical Model for the Origin of Anisogamy
Joseph D. Johnson, Nathan L. White, Alain Kangabire +1
The vast majority of multi-cellular organisms are anisogamous, meaning that male and female sex cells differ in size. It remains an open question how this asymmetric state evolved,…