Zobrazeno 1 - 10
of 119
pro vyhledávání: '"Mingo, James A."'
Autor:
Mingo, James A., George, Daniel Munoz
We compute the fluctuation moments $\alpha_{m_1,\dots,m_r}$ of a Complex Wigner Matrix $X_N$ given by the limit $\lim_{N\rightarrow\infty}N^{r-2}k_r(Tr(X_N^{m_1}),\dots,Tr(X_N^{m_r}))$. We prove the limit exists and characterize the leading order via
Externí odkaz:
http://arxiv.org/abs/2407.17608
Autor:
Mingo, James A., Tseng, Pei-Lun
In an infinitesimal probability space we consider operators which are infinitesimally free and one of which is infinitesimal, in that all its moments vanish. Many previously analysed random matrix models are captured by this framework. We show that t
Externí odkaz:
http://arxiv.org/abs/2308.02064
Autor:
Mingo, James A., Popa, Mihai
We compute the limit distribution of partial transposes (when both the number and the size of blocks tends to infinity) for a large class of ensembles of unitarily invariant random matrices. Furthermore, it is shown the asymptotic freeness relation b
Externí odkaz:
http://arxiv.org/abs/2304.07430
Autor:
George, Daniel Munoz, Mingo, James A.
We compute the third order moments of a complex Wigner matrix. We provide a formula for the third order moments $\alpha_{m_1,m_2,m_3}$ in terms of quotient graphs $T_{m_1,m_2,m_3}^{\pi}$ where $\pi$ is the Kreweras complement of a non-crossing pairin
Externí odkaz:
http://arxiv.org/abs/2205.13081
Autor:
Mingo, James A., Tseng, Pei-Lun
Publikováno v:
In Journal of Functional Analysis 1 November 2024 287(9)
Autor:
Diaz, Mario, Mingo, James A.
In this paper we propose a new approach to the central limit theorem (CLT), based on functions of bounded F\'echet variation for the continuously differentiable linear statistics of random matrix ensembles which relies on: a weaker form of a large de
Externí odkaz:
http://arxiv.org/abs/2201.04112
Let $X_N$ be a $N \times N$ real Wishart random matrix with aspect ratio $M/N$. The limit eigenvalue distribution of $X_N$ is the Marchenko-Pastur law with parameter $c = \lim_N M/N$. The limit moments $\{m_n\}_n$ are given by $m_n = \sum_{\pi} c^{\#
Externí odkaz:
http://arxiv.org/abs/2112.15231
We consider the effect of a partial transpose on the limit $*$-distribution of a Haar distributed random unitary matrix. If we fix, $b$, the number of blocks, we show that the partial transpose can be decomposed into a sum of $b$ matrices which are a
Externí odkaz:
http://arxiv.org/abs/2105.04076
We characterize the limiting fluctuations of traces of several independent Wigner matrices and deterministic matrices under mild conditions. A CLT holds but in general the families are not asymptotically free of second order and the limiting covarian
Externí odkaz:
http://arxiv.org/abs/2010.02963