Zobrazeno 1 - 7
of 7
pro vyhledávání: '"David Jekel"'
Autor:
David Jekel
Publikováno v:
Anal. PDE 13, no. 8 (2020), 2289-2374
We present an alternative approach to the theory of free Gibbs states with convex potentials. Instead of solving SDE's, we combine PDE techniques with a notion of asymptotic approximability by trace polynomials for a sequence of functions on $M_N(\ma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ec209556c99dcf248132aaec3ab7e36
https://doi.org/10.2140/apde.2020.13.2289
https://doi.org/10.2140/apde.2020.13.2289
Autor:
David Jekel
Publikováno v:
International Mathematics Research Notices. 2022:4514-4619
Let $(X_1,\dots,X_m)$ be self-adjoint non-commutative random variables distributed according to the free Gibbs law given by a sufficiently regular convex and semi-concave potential $V$, and let $(S_1,\dots,S_m)$ be a free semicircular family. We show
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f2c7b34e92819539282d2dd6194399bd
https://doi.org/10.1093/imrn/rnaa181
https://doi.org/10.1093/imrn/rnaa181
We develop the complex-analytic viewpoint on the tree convolutions studied by the second author and Weihua Liu in "An operad of non-commutative independences defined by trees" (Dissertationes Mathematicae, 2020, doi:10.4064/dm797-6-2020), which gener
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::28db47e64e8b31bf91468fef7feb8fdb
http://arxiv.org/abs/2102.01214
http://arxiv.org/abs/2102.01214
We study the free probabilistic analog of optimal couplings for the quadratic cost, where classical probability spaces are replaced by tracial von Neumann algebras, and probability measures on $\mathbb{R}^m$ are replaced by non-commutative laws of $m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c010d6ef961b8546956924bea533824
Autor:
Weihua Liu, David Jekel
We study $N$-ary non-commutative notions of independence, which are given by trees and which generalize free, Boolean, and monotone independence. For every rooted subtree $\mathcal{T}$ of the $N$-regular tree, we define the $\mathcal{T}$-free product
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d03d358601174fca76985a0a098798b9
Autor:
David Jekel
Publikováno v:
Journal of Functional Analysis. 278:108452
We adapt the theory of chordal Loewner chains to the operator-valued matricial upper-half plane over a C ⁎ -algebra A . We define an A -valued chordal Loewner chain as a subordination chain of analytic self-maps of the A -valued upper half-plane, s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a11775758c0b2037f6e9e9fd6b324140
https://doi.org/10.1016/j.jfa.2019.108452
https://doi.org/10.1016/j.jfa.2019.108452
We propose an algebraic framework for generalized graph Laplacians which unifies the study of resistor networks, the critical group, and the eigenvalues of the Laplacian and adjacency matrices. Given a graph with boundary $G$ together with a generali
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e915e386bc39dc796de8310b98269d5e
http://arxiv.org/abs/1604.07075
http://arxiv.org/abs/1604.07075