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.

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

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)

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)

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).

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.