1 citations · 1 across the 3 of their papers we have counts for
4 papers
A Local Law for Singular Values from Diophantine Equations
Arka Adhikari, Marius Lemm
We introduce the random matrices $$ X_{j,k}=\exp\left(2πi \sum_{q=1}^d\ ω_{j,q} k^q\right) \quad \text{with } \{ω_{j,q}\}_{\substack{1\leq j\leq N\\ 1\leq q\leq d}} \te…
Free Energy of the Quantum Sherrington-Kirkpatrick Spin-Glass Model with Transverse Field
Arka Adhikari, Christian Brennecke
We consider the quantum Sherrington-Kirkpatrick (SK) spin-glass model with transverse field and provide a formula for its free energy in the thermodynamic limit, valid for all inve…
Spin Distributions for Generic Spherical Spin Glasses
Arka Adhikari
This paper investigates p-spin distributions for a generic spherical p-spin model; we give a representation of spin distributions in terms of a stochastic process. In order to do t…
The Edge Universality of Correlated Matrices
Arka Adhikari, Ziliang Che
We consider a Gaussian random matrix with correlated entries that have a power law decay of order and prove universality for the extreme eigenvalues. A local law is proved us…