heat-kernel

A scalable implementation of "Learning Structural Node Embeddings Via Diffusion Wavelets (KDD 2018)".

Spectral Causal Theory: derivations, verification, analysis, and publications.

This repository contains a collection of Digital Geometry Processing libraries to be used in achieving multiple shape correspondence.

Heat-kernel based local clustering

Unusually powerful linear-time MaxSAT approximator that consistently hits 99.5%+ satisfaction across diverse categories including Graph Coloring, Clique, and Ramsey instances.

B.Sc. thesis on the HKS descriptor behaviors.

Exact RG flow of the spectral dimension: bond percolation on the diamond hierarchical lattice, closed-form mass dimension, resistance exponent, d_s ~ 1.40, rewiring and transport universality (Paper 7)

Thermodynamics of scale: entropic c-functions, data processing H-theorem, spectral heat capacity = spectral dimension, Jarzynski/Crooks for scale protocols, and the RG arrow of time (Paper 5)

Local Spectral Thermodynamics and the Einstein Equation as a Spectral Equilibrium Condition

Mirror for RFPKOG

First explicit curvature correction formula for fractional Laplacians on curved manifolds. Complete proof via heat kernel expansion, validated computationally on S². Applications in anomalous diffusion, thermal field theory, and curved spacetime physics.

Code, data, figures and manuscript for "Crossover from Discrete to Continuous Quantum Geometry: Running Spectral Dimensions, Noncommutative Spectral Triples, and Critical Phase Transitions" (R. Chen, 2026).