DivisorNetworks

Overview

DivisorNetworks is a Rust package designed for graph modeling and simulations. This library aims to provide a robust framework for analyzing and understanding discrete graph networks such as Hopfield networks and chip-firing models. It's currently a work in progress.

Features

• Modular design with a basis in category theory and Grothendieck topology.
• Integration with sheaf theory for consistency and advanced analysis.
• Flexible simulation framework for Hopfield networks and chip-firing systems.
• Rust implementation - potential for future Python bindings.

Libraries

• src/category - Defines category theoeretic structure and Grothendieck topology.
• src/graph - Contains the graph structures and node implementations.
• src/sheaf - Manages sheaf and presheaf data, along with sheaf conditions.
• src/simulation - Simulation logic for Hopfield networks and chip-firing systems.

Links

• UCL Human Electrophysiology Lab: https://bushlab-ucl.github.io
• Crates.io: https://crates.io/crates/divisor-networks
• SGA 1972: https://stacks.math.columbia.edu/tag/00WY