Lyapunov Exponent Spectrum

Computes Lyapunov exponents for continued fraction digit subsets via finite-difference of transfer operator eigenvalues.

Usage

import torch
from kernels import get_kernel

kernel = get_kernel("cahlen/lyapunov-spectrum-cuda")
result = lyapunov.compute(masks, max_digit=10, chebyshev_order=40)

Compile (standalone)

nvcc -O3 -arch=sm_90 -o lyapunov_spectrum lyapunov_spectrum/lyapunov_spectrum.cu -lm

Results

All computation results are open:

Citation

@misc{humphreys2026bigcompute,
  author = {Humphreys, Cahlen},
  title = {bigcompute.science: GPU-Accelerated Computational Mathematics},
  year = {2026},
  url = {https://bigcompute.science}
}

Human-AI collaborative. Not peer-reviewed. All code and data open.

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Dataset used to train cahlen/lyapunov-spectrum-cuda