Group theory and homogeneous dynamics

Generic thinness in finitely generated subgroups of SL_n(Z)

Elena Fuchs and Igor Rivin

28 pages23 claims indexed25 referencesManuscript 2015-06-04

Reproduce the exact local checks

These checks use symbolic and rational arithmetic in Python with SymPy. They are coordinator calculations, not formal certificates or a verification of the main theorem.

Download the reading packet, extract its manuscript.tex, and download the checker. Run:

python3 exact-check.py --source manuscript.tex

The frozen source SHA-256 is 8adb9681e2cd5e4bdcb292162a32796b00ae7b757a5a900fbd580d0bc939e34e. The checker was run with SymPy 1.14.0. Recorded results and checker ancestry are included. Only the source-path interface differs from the retained historical checker.

The checks establish the product-lemma counterexample and limiting-density integral identity. The report supplies the limiting-measure justification and the random-walk argument separately.

Source record

Additional supporting archive items are identified in the original report. View the manuscript hashes and repository snapshot.