Mohamed El Morsalani

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math.AP2026

Elliptic Superlevel Sets in the Class $\OO_C$: Boundary-Layer Geometry and Stability of the Return Map

Mohammed Barkatou, Mohamed El Morsalani, Mohammd Barkatou

We study elliptic superlevel geometry and return dynamics for the class $O_{C}$ . Let $C \subset R^{N}$ be a compact strictly convex core, and $Ω\in \mathcal{O}_{…

math.AP2026

The Return Map in the Class $O_{C}$ : Geometry, Dynamics, and Thickness Regularity

Mohammed Barkatou, Mohamed El Morsalani

We study a discrete dynamical system $F = π \circ Φ$ on the boundary of a convex core $\partial C \subset R^{N}$ , generated by linking $C$ to an outer boundary $\partial Ω$ vi…

Elliptic Superlevel Sets in the Class $\OO_C$: Boundary-Layer Geometry and Stability of the Return Map

The Return Map in the Class OC​: Geometry, Dynamics, and Thickness Regularity

The Return Map in the Class $O_{C}$ : Geometry, Dynamics, and Thickness Regularity