M. E. Morsalani

works on

convergence analysis 1 convex geometry 1 geometric dynamics 1 gradient descent analogy 1 return map 1

From the 1 of 6 linked papers with an AI index.

collaborators

Showing math.APShow all

2 papers · 1 filter

math.AP2026

Geometric Gradient Flows from Elliptic Level Sets: Normal Decomposition and Reflection Dynamics

Mohammed Barkatou, Mohamed El Morsalani

We investigate the asymptotic geometry of shifting superlevel sets $I^c ◯_{t} = {x \in I^c ◯ : u (x) > t}$ generated by solutions to the elliptic Dirichlet problem $- I^ u = f$ in $I^c ◯$ , wher…

math.AP2026

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

Mohammed Barkatou, Mohamed El Morsalani

We investigate a geometric dynamical mechanism arising in the class $O_{C}$ of domains containing a fixed convex set $C$ and satisfying two geometric normals properties int…

Geometric Gradient Flows from Elliptic Level Sets: Normal Decomposition and Reflection Dynamics

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