37 citations · 111 across the 23 of their papers we have counts for
4 papers · 1 filter
Hyperwalk Formulae for Even and Odd Laplacians in Finite CW-Hypergraphs
Ivan Contreras, Sarah Loeb, Chengzheng Yu
In this note we provide a combinatorial interpretation for the powers of the hypergraph Laplacians. Our motivation comes from the discrete formulation of quantum mechanics and ther…
Poly-Poisson Sigma models and their relational poly-symplectic groupoids
Ivan Contreras, Nicolás Martínez Alba
The main idea of this note is to describe the integration procedure for poly-Poisson structures, that is, to find a poly-symplectic groupoid integrating a poly-Poisson structure, i…
A Functorial Construction of Quantum Subtheories
Ivan Contreras, Ali Nabi Duman
We apply the geometric quantization procedure via symplectic groupoids proposed by E. Hawkins to the setting of epistemically restricted toy theories formalized by Spekkens. In the…
The Graph Laplacian and Morse Inequalities
Ivan Contreras, Boyan Xu
The objective of this note is to provide an interpretation of the discrete version of Morse inequalities, following Witten's approach via supersymmetric quantum mechanics, adapted…