Yotam Shomroni

activity

20232025

collaborators

6 papers

math.GR2025

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 $F$ …

math.GR2025

Stable Invariants of Words from Random Matrices II: Formulas and Extensions

Doron Puder, Yotam Shomroni

Let $w$ be a word in a free group. As was revealed by Magee and Puder in [arXiv:1802.04862], the stable commutator length (scl) of $w$ , a well-known topological invariant, can also…

math.CO2024

The ring of stable characters over $GL_{∙} (q)$

Danielle Ernst-West, Doron Puder, Yotam Shomroni

For a fixed prime power $q$ , let $GL_{∙} (q)$ denote the family of groups $GL_{N} (q)$ for $N \in Z_{\geq 0}$ . In this paper we study the $C$ -algebr…

math.GR2023

Stable Invariants of Words from Random Matrices

Doron Puder, Yotam Shomroni, Danielle Ernst-West +1

Let $w$ 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 $w$ , a well-known topological invariant,…

math.GR2023

Word Measures on Wreath Products II

Yotam Shomroni

Every word $w$ in $F_{r}$ , the free group of rank $r$ , induces a probability measure (the $w$ -measure) on every finite group $G$ , by substitution of random $G$ -elements in the letter…

math.GR2023

Word Measures On Wreath Products I

Yotam Shomroni

Every word $w$ in the free group $F_{r}$ of rank $r$ induces a probability measure (the $w$ -measure) on every compact group $G$ , by substitution of Haar-random $G$ -elements in the le…

Probabilistic Hanna Neumann Conjectures

Stable Invariants of Words from Random Matrices II: Formulas and Extensions

The ring of stable characters over GL∙​(q)

Stable Invariants of Words from Random Matrices

Word Measures on Wreath Products II

Word Measures On Wreath Products I

The ring of stable characters over $GL_{∙} (q)$