Oskari Ajanki

activity

20052016

most citedQuadratic vector equations on complex upper half-plane

72 citations · 152 across the 5 of their papers we have counts for

collaborators

Showing 2015Show all

4 papers · 1 filter

math.PR2015

Singularities of solutions to quadratic vector equations on complex upper half-plane

Oskari Ajanki, Laszlo Erdos, Torben Krüger

Let $S$ be a positivity preserving symmetric linear operator acting on bounded functions. The nonlinear equation $- \frac{1}{m} = z + S m$ with a parameter $z$ in the complex upper…

math.PR2015★ 26 cited

Local spectral statistics of Gaussian matrices with correlated entries

Oskari Ajanki, Laszlo Erdos, Torben Krüger

We prove optimal local law, bulk universality and non-trivial decay for the off-diagonal elements of the resolvent for a class of translation invariant Gaussian random matrix ensem…

math.PR2015

Universality for general Wigner-type matrices

Oskari Ajanki, Laszlo Erdos, Torben Krüger

We consider the local eigenvalue distribution of large self-adjoint $N \times N$ random matrices $H = H^{*}$ with centered independent entries. In contrast to previous…

math.PR2015★ 72 cited

Quadratic vector equations on complex upper half-plane

Oskari Ajanki, Laszlo Erdos, Torben Krüger

We consider the nonlinear equation $- \frac{1}{m} = z + S m$ with a parameter $z$ in the complex upper half plane $H$ , where $S$ is a positivity preserving symmetric linear ope…