---
license: mit
tags:
  - kernels
  - cuda
  - lyapunov-exponent
  - continued-fractions
  - spectral-methods
  - number-theory
datasets:
  - cahlen/continued-fraction-spectra
---

# Lyapunov Exponent Spectrum

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

## Usage

```python
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)

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

## Results

All computation results are open:
- **Website**: [bigcompute.science](https://bigcompute.science)
- **Datasets**: [huggingface.co/cahlen](https://huggingface.co/cahlen)
- **Source**: [github.com/cahlen/idontknow](https://github.com/cahlen/idontknow)

## Citation

```bibtex
@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 Not peer-reviewed.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.*