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physics.comp-ph2026
The Heat Kernel Expansion: Curvature for Shock Detection in Higher-Order Financial Networks
Mohammad Elsayed, Sara Najem
This work follows the evolution of financial networks in Norway over a period of nine years at a monthly rate. The data consist of board directors and their affiliations to compani…
physics.comp-ph2026
Finding Graph Isomorphisms in Heated Spaces in Almost No Time
Sara Najem, Amer E. Mouawad
Determining whether two graphs are structurally identical is a fundamental problem with applications spanning mathematics, computer science, chemistry, and network science. Despite…
physics.comp-ph2026
Discovery of Symbolic Hamiltonian Expressions with Buckingham-Symplectic Networks
Joe Germany, Joseph Bakarji, Sara Najem
Hamiltonian systems lie at the heart of modeling the physical world. Their defining scalar, the Hamiltonian, encodes both energy conservation and symplectic geometry in its phase-s…