Zobrazeno 1 - 10
of 8 103
pro vyhledávání: '"La Salle"'
Let $G$ be a countable group with no finitely generated subgroup of exponential growth. We show that every action of $G$ on a countable set preserving a linear (respectively, circular) order can be realised as the restriction of some action by $C^1$
Externí odkaz:
http://arxiv.org/abs/2410.02614
Autor:
Magee, Michael, de la Salle, Mikael
We prove almost sure strong asymptotic freeness of i.i.d. random unitaries with the following law: sample a Haar unitary matrix of dimension $n$ and then send this unitary into an irreducible representation of $U(n)$. The strong convergence holds as
Externí odkaz:
http://arxiv.org/abs/2409.03626
We prove that given a fixed finite tree $P$, almost all trees contain $P$ as a subtree. Moreover, the inclusion can be made so that it induces an embedding of the corresponding (quantum) automorphism groups, thereby providing generic properties of th
Externí odkaz:
http://arxiv.org/abs/2402.14024
Autor:
Magee, Michael, de la Salle, Mikael
We prove that every finite dimensional unitary representation of $\mathrm{SL}_{4}(\mathbf{Z})$ contains a non-zero $\mathrm{SL}_{2}(\mathbf{Z})$-invariant vector. As a consequence, there is no sequence of finite-dimensional representations of $\mathr
Externí odkaz:
http://arxiv.org/abs/2312.03220