1 citations · 1 across the 6 of their papers we have counts for
7 papers
Veech Surfaces and Expanding Twist Tori on Moduli Spaces of Abelian Differentials
Jon Chaika, Osama Khalil
Let be a translation surface such that every leaf of its horizontal foliation is either closed, or joins two zeros of . Then, decomposes as a union of horizontal Euc…
-Flattening of Self-similar Measures on Non-degenerate Curves
Amir Algom, Osama Khalil
Let be a non-atomic self-similar measure on , and let be its pushforward to a non-degenerate curve in . We show that for every , the…
Development of a PPO-Reinforcement Learned Walking Tripedal Soft-Legged Robot using SOFA
Yomna Mokhtar, Tarek Shohdy, Abdallah A. Hassan +4
Rigid robots were extensively researched, whereas soft robotics remains an underexplored field. Utilizing soft-legged robots in performing tasks as a replacement for human beings i…
Automating Hot-Rolling: Designing an Integrated Mechatronics System for Enhanced Efficiency in Sheet Metal Production
Mostafa A. Mostafa, Mohamed Khaled, Abdelrahman Ali +4
The hot-rolling process is a critical stage in sheet metal production within the heavy steel industry. Traditionally, parameter adjustments such as sheet metal velocity and roll ga…
Measure rigidity and equidistribution for fractal carpets
Osama Khalil, Manuel Luethi, Barak Weiss
Let be a Bernoulli measure which is stationary for a random walk generated by finitely many contracting rational affine dilations of , and let $\mathcal{K} = \mat…
Fourier Decay from -Flattening
Simon Baker, Osama Khalil, Tuomas Sahlsten
We develop a unified approach for establishing rates of decay for the Fourier transform of a wide class of dynamically defined measures. Among the key features of the method is the…
Polynomial Fourier Decay For Patterson-Sullivan Measures
Osama Khalil
We show that the Fourier transform of Patterson-Sullivan measures associated to convex cocompact groups of isometries of real hyperbolic space decays polynomially quickly at infini…