19 citations · 127 across the 23 of their papers we have counts for
24 papers
Statistics of two-dimensional random walks, the "cyclic sieving phenomenon" and the Hofstadter model
Stefan Mashkevich, Stéphane Ouvry, Alexios Polychronakos
We focus on the algebraic area probability distribution of planar random walks on a square lattice with , , and steps right, left, up and down. We aim, in par…
Random Aharonov-Bohm vortices and some exact families of integrals: Part III
Stephane Ouvry
As a sequel to [1] and [2], I present some recent progress on Bessel integrals $\int_0^{\infty}{\rmd u}\; uK_0(u)^{n}$, $\int_0^{\infty}{\rmd u}\; u^{3}K_0(u)^{n}$, ... where the p…
Exact results for the spectra of interacting bosons and fermions on the lowest Landau level
Stefan Mashkevich, Sergey Matveenko, Stéphane Ouvry
A system of N interacting bosons or fermions in a two-dimensional harmonic potential (or, equivalently, magnetic field) whose states are projected onto the lowest Landau level is c…
Area distribution of two-dimensional random walks on a square lattice
Stefan Mashkevich, Stéphane Ouvry
The algebraic area probability distribution of closed planar random walks of length N on a square lattice is considered. The generating function for the distribution satisfies a re…
Random Aharonov-Bohm vortices and some exact families of integrals: Part II
Stefan Mashkevich, Stéphane Ouvry
At 6th order in perturbation theory, the random magnetic impurity problem at second order in impurity density narrows down to the evaluation of a single Feynman diagram with maxima…
The Nonperiodic Anyon Model and the Fractional Quantum Hall Effect
Stefan Mashkevich, Stéphane Ouvry
The lowest-Landau-level anyon model becomes nonperiodic in the statistics parameter when the finite size of the attached flux tubes is taken into account. The finite-size effects c…