Ziad Ghanem

collaborators

3 papers

math.AP2025

Unbounded Branches of Non-Radial Solutions to Semilinear Elliptic Systems on a Unit Ball in $R^{3}$ and Their Patterns

Casey Crane, Ziad Ghanem

We investigate symmetry-breaking phenomena in semilinear elliptic systems on the unit ball in $R^{3}$ , focusing on the emergence of non-radial solution branches with prescri…

stat.ML2025

A Bayesian Framework for Symmetry Inference in Chaotic Attractors

Ziad Ghanem, Chang Hyunwoong, Preskella Mrad

Detecting symmetry from data is a fundamental problem in signal analysis, providing insight into underlying structure and constraints. When data emerge as trajectories of dynamical…

math.AP2025

Unbounded Branches of Non-Radial Solutions to Semilinear Elliptic Systems on a Disc and their Patterns

Ziad Ghanem, Casey Crane

In this paper, we leverage the $O (2) \times Z$ -equivariant Leray-Schauder degree and a novel characterization of the Burnside Ring $A (O (2) \times Z_{2})$ presented by…

Unbounded Branches of Non-Radial Solutions to Semilinear Elliptic Systems on a Unit Ball in R3 and Their Patterns

A Bayesian Framework for Symmetry Inference in Chaotic Attractors

Unbounded Branches of Non-Radial Solutions to Semilinear Elliptic Systems on a Disc and their Patterns

Unbounded Branches of Non-Radial Solutions to Semilinear Elliptic Systems on a Unit Ball in $R^{3}$ and Their Patterns