5 citations · 7 across the 3 of their papers we have counts for
3 papers
quant-ph2023
Extremal jumps of circuit complexity of unitary evolutions generated by random Hamiltonians
Marcin Kotowski, Michał Oszmaniec, Michał Horodecki
We investigate circuit complexity of unitaries generated by time evolution of randomly chosen strongly interacting Hamiltonians in finite dimensional Hilbert spaces. Specifically,…
math.PR2018★ 2 cited
Tracy-Widom fluctuations in 2D random Schrodinger operators
Marcin Kotowski, Bálint Virág
We construct a random Schrodinger operator on a subset of the hexagonal lattice and study its smallest positive eigenvalues. Using an asymptotic mapping, we relate them to the part…
math.PR2016★ 5 cited
Dyson's spike for random Schroedinger operators and Novikov-Shubin invariants of groups
Marcin Kotowski, Bálint Virág
We study Schroedinger operators with random edge weights and their expected spectral measures near zero. We prove that the measure exhibits a spike of the form $μ_H(-\varepsi…