O. Khalil

activity

20242026

collaborators

6 papers

math.DS2026

Measure rigidity and equidistribution for fractal carpets

Osama Khalil, Manuel Luethi, Barak Weiss

Let $I^¸$ be a Bernoulli measure which is stationary for a random walk generated by finitely many contracting rational affine dilations of $R^{d}$ , and let $\mathcal{K} = \ma…

math.DS2025

Veech Surfaces and Expanding Twist Tori on Moduli Spaces of Abelian Differentials

Jon Chaika, Osama Khalil

Let $(M, I ¨ )$ be a translation surface such that every leaf of its horizontal foliation is either closed, or joins two zeros of $I ¨ $ . Then, $M$ decomposes as a union of horizontal E…

math.CA2025

$L^{2}$ -Flattening of Self-similar Measures on Non-degenerate Curves

Amir Algom, Osama Khalil

Let $I^¼$ be a non-atomic self-similar measure on $R$ , and let $I^½$ be its pushforward to a non-degenerate curve in $R^{d}, d \geq 1$ . We show that for every $I^µ > 0$ ,…

cs.RO2025

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…

eess.SY2025

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…

math.DS2024

Fourier Decay from $L^{2}$ -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…