OAI/GroupTheory/PolycyclicRecognition/Finiteness/CayleyPoincare.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

A discrete Poincare inequality with the local volume ratio

This is the vertex version of the path-counting argument in Kleiner, JAMS 23 (2010), Theorem 2.2. It requires no doubling assumption.

  1. theorem OAI.PolycyclicRecognition.word_translate_energy_le line 16
  2. theorem OAI.PolycyclicRecognition.pairwise_wordBall_energy_le line 26
  3. theorem OAI.PolycyclicRecognition.cayley_wordBall_poincare line 60