3 papers
math.DS2026
Inverse Problems for the Return Map in the Class ( ): Reconstruction and Identifiability
Mohamed El Morsalani, Mohammed Barkatou
We study the inverse problem associated with the return map on the boundary of a convex core . By decomposing the return displacement into tangential and normal components,…
math.DS2026
Non-Autonomous Return Dynamics for Nested Convex Bodies:\\ Cubic Tangency, Summable Geometric Variation, and Critical Regimes
Mohamed El Morsalani, Mohammed Barkatou
We study a non-autonomous geometric dynamics generated by successive normal transitions between nested convex boundaries sharing a common tangency point. For \(C_{k+1}\subset C_k\s…
math.DS2026
Geometry, Dynamics, and Topology of the Thickness Landscape: A Morse-Theoretic Analysis of the Return Map in the Class
Mohammed Barkatou, Mohamed El Morsalani
We study the geometry, dynamics, and topology of the thickness landscape associated with the geometric return map in the class . For a convex core and an admissib…