3 papers
nlin.PS2026
Complexity Reveals the Microscopic Origins of Macroscopic Dynamics
Haoyang Qian, Beata Casiday, Gabriel Hood +1
Real complex systems often exhibit collective transitions emerging from interactions across many components. Classical stability theory describes such transitions in spectral space…
math-ph2022
Laplace and Dirac Operators on Graphs
Beata Casiday, Ivan Contreras, Thomas Meyer +2
Discrete versions of the Laplace and Dirac operators haven been studied in the context of combinatorial models of statistical mechanics and quantum field theory. In this paper we i…
math.AC2020
Betti numbers of weighted oriented graphs
Beata Casiday, Selvi Kara
Let be a weighted oriented graph and be its edge ideal. In this paper, we investigate the Betti numbers of via upper-Koszul simplici…