5 papers · 1 filter
Probabilistic Hanna Neumann Conjectures
Yotam Shomroni
We develop a theory of polymatroids on Stallings core graphs, which provides a new technique for proving lower bounds on stable invariants of words and subgroups in free groups …
Stable Invariants of Words from Random Matrices II: Formulas and Extensions
Doron Puder, Yotam Shomroni
Let be a word in a free group. As was revealed by Magee and Puder in [arXiv:1802.04862], the stable commutator length (scl) of , a well-known topological invariant, can also…
Stable Invariants of Words from Random Matrices
Doron Puder, Yotam Shomroni, Danielle Ernst-West +1
Let be a word in a free group. A few years ago, Magee and the first named author discovered that the stable commutator length (scl) of , a well-known topological invariant,…
Word Measures on Wreath Products II
Yotam Shomroni
Every word in , the free group of rank , induces a probability measure (the -measure) on every finite group , by substitution of random -elements in the letter…
Word Measures On Wreath Products I
Yotam Shomroni
Every word in the free group of rank induces a probability measure (the -measure) on every compact group , by substitution of Haar-random -elements in the le…