4 papers
On the Uniqueness of the Norton-Sullivan Quasiconformal extension
José Afonso Barrionuevo, Felipe Gonçalves, José Victor Medeiros +1
We show that the extension map \[ \mathcal{E}_{NS}(f)(z)=\frac{f(x+y)+f(x-y)}{2}+i\frac{f(x+y)-f(x-y)}{2}\mbox{ for all }z=x+iy\in\mathbb{H}\,, \] defined by Norton and Sullivan in…
David regularity of the Yoccoz extension
Luna Lomonaco, Lucas Oliveira, Miguel Ratis Laude
A central problem in the study of critical circle dynamics is understanding the regularity of Yoccoz conjugators - circle homeomorphisms that conjugate critical circle maps with ir…
Probing disorder-induced Fisher information matrix and Cramér-Rao bound by STM
Lucas A. Oliveira, Wei Chen
The electronic local density of states of solids, if normalized correctly, represents the probability density that the electron at a specific position has a particular energy. Beca…
Real space quantum metric of solids
Lucas A. Oliveira, Wei Chen
By applying the projector to the filled lattice eigenstates on a specific position, or applying the local electron annihilation operator on the many-body ground state, one can cons…