Zobrazeno 1 - 10
of 68
pro vyhledávání: '"Jekel, David"'
Autor:
Gao, David, Jekel, David
We prove an analog of the disintegration theorem for tracial von Neumann algebras in the setting of elementary equivalence rather than isomorphism, showing that elementary equivalence of two direct integrals implies fiberwise elementary equivalence u
Externí odkaz:
http://arxiv.org/abs/2410.05529
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
We present the first iterative spectral algorithm to find near-optimal solutions for a random quadratic objective over the discrete hypercube, resolving a conjecture of Subag [Subag, Communications on Pure and Applied Mathematics, 74(5), 2021]. The a
Externí odkaz:
http://arxiv.org/abs/2408.02360
We study mixtures of free, monotone, and boolean independence described by directed graphs (digraphs). For a sequence of digraphs $G_n = (V_n,E_n)$, we give sufficient conditions for the limit $\widehat{\mu} = \lim_{n \to \infty} \boxplus_{G_n}(\mu_n
Externí odkaz:
http://arxiv.org/abs/2407.02276
We study upgraded free independence phenomena for unitary elements $u_1$, $u_2$, \dots representing the large-$n$ limit of Haar random unitaries, showing that free independence extends to several larger algebras containing $u_j$ in the ultraproduct o
Externí odkaz:
http://arxiv.org/abs/2404.17114
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
Autor:
Jekel, David
We give a new combinatorial proof of Parraud's formula for the asymptotic expansion in powers of $1/N^2$ for the expected trace of polynomials of several independent $N \times N$ GUE matrices, which expresses the result using a mixture of free differ
Externí odkaz:
http://arxiv.org/abs/2402.08024
We provide a complete characterization of theories of tracial von Neumann algebras that admit quantifier elimination. We also show that the theory of a separable tracial von Neumann algebra $\mathcal{N}$ is never model complete if its direct integral
Externí odkaz:
http://arxiv.org/abs/2310.06197
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