Zobrazeno 1 - 10
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pro vyhledávání: '"Hayes Ben"'
Autor:
Hayes, Ben
We consider inclusions $\mathcal{S}\leq \mathcal{R}$ of discrete, probability measure-preserving orbit equivalence relations. In previous work with Ab\'{e}rt-Fra\c{c}zyk, we established the pointwise almost sure existence of the cospectral radius of
Externí odkaz:
http://arxiv.org/abs/2410.16480
By developing a theory of anticoarse spaces in the purely infinite setting and using 1-bounded entropy techniques along with recent strong convergence results in random matrix theory, we show that free Araki--Woods factors offer the first examples of
Externí odkaz:
http://arxiv.org/abs/2409.18106
Autor:
Charlesworth, Ian, de Santiago, Rolando, Hayes, Ben, Jekel, David, Elayavalli, Srivatsav Kunnawalkam, Nelson, Brent
We undertake a comprehensive study of structural properties of graph products of von Neumann algebras equipped with faithful, normal states, as well as properties of the graph products relative to subalgebras coming from induced subgraphs. Among the
Externí odkaz:
http://arxiv.org/abs/2404.08150
Autor:
Charlesworth, Ian, de Santiago, Rolando, Hayes, Ben, Jekel, David, Nelson, Brent, Elayavalli, Srivatsav Kunnawalkam
Graph independence (also known as $\epsilon$-independence or $\lambda$-independence) is a mixture of classical independence and free independence corresponding to graph products or groups and operator algebras. Using conjugation by certain random per
Externí odkaz:
http://arxiv.org/abs/2404.07350
We show that the growth of a unimodular random rooted tree $(T,o)$ of degree bounded by $d$ always exists, assuming its upper growth passes the critical threshold $\sqrt{d-1}$. This complements Timar's work who showed the possible nonexistence of gro
Externí odkaz:
http://arxiv.org/abs/2312.04611
Autor:
Bindi, Giovanni, Demerlé, Nils, Diaz, Rodrigo, Genova, David, Golvet, Aliénor, Hayes, Ben, Huang, Jiawen, Liu, Lele, Martos, Vincent, Nabi, Sarah, Pelinski, Teresa, Renault, Lenny, Sarkar, Saurjya, Sarmento, Pedro, Vahidi, Cyrus, Wolstanholme, Lewis, Zhang, Yixiao, Roebel, Axel, Bryan-Kinns, Nick, Giavitto, Jean-Louis, Barthet, Mathieu
Artificial Intelligence (AI) technologies such as deep learning are evolving very quickly bringing many changes to our everyday lives. To explore the future impact and potential of AI in the field of music and sound technologies a doctoral day was he
Externí odkaz:
http://arxiv.org/abs/2310.18320
The term "differentiable digital signal processing" describes a family of techniques in which loss function gradients are backpropagated through digital signal processors, facilitating their integration into neural networks. This article surveys the
Externí odkaz:
http://arxiv.org/abs/2308.15422
In this paper we show various new structural properties of free group factors using the recent resolution (due independently to Belinschi-Capitaine and Bordenave-Collins) of the Peterson-Thom conjecture. These results include the resolution to the co
Externí odkaz:
http://arxiv.org/abs/2308.14109
We show that for every countable group, any sequence of approximate homomorphisms with values in permutations can be realized as the restriction of a sofic approximation of an orbit equivalence relation. Moreover, this orbit equivalence relation is u
Externí odkaz:
http://arxiv.org/abs/2306.16974
In this paper we exhibit for every non amenable group that is initially sub-amenable (sometimes also referred to as LEA), two sofic approximations that are not conjugate by any automorphism of the universal sofic group. This addresses a question of P
Externí odkaz:
http://arxiv.org/abs/2306.04713