10 citations · 14 across the 4 of their papers we have counts for
7 papers
Low complexity convergence rate bounds for push-sum algorithms with homogeneous correlation structure
Balázs Gerencsér, Miklós Kornyik
The objective of this work is to establish an upper bound for the almost sure convergence rate for a class of push-sum algorithms. The current work extends the methods and results…
Low complexity convergence rate bounds for the synchronous gossip subclass of push-sum algorithms
Balázs Gerencsér, Miklós Kornyik
We develop easily accessible quantities for bounding the almost sure exponential convergence rate of push-sum algorithms. We analyze the scenario of i.i.d. synchronous gossip, ever…
Some martingales associated with multivariate Bessel processes
Miklos Kornyik, Michael Voit, Jeannette H. C. Woerner
We study Bessel processes on Weyl chambers of types A and B on . Using elementary symmetric functions, we present several space-time-harmonic functions and thus martin…
The Monte Carlo wave-function method: a robust adaptive algorithm and a study in convergence
M. Kornyik, A. Vukics
We present a stepwise adaptive-timestep version of the Quantum Jump (Monte Carlo wave-function) algorithm. Our method has proved to remain robust even for problems where the integr…
A note on the asymptotics of random density matrices
Miklos Kornyik
We show in this note that the asymptotic spectral distribution, location and distribution of the largest eigenvalue of a large class of random density matrices coincide with that o…
On the moments of roots of Laguerre-polynomials and the Marchenko-Pastur law
Miklós Kornyik, György Michaletzky
In this paper we compute the leading terms in the sum of the power of the roots of , the Laguerre-polynomial of degree with parameter . The connection…
Wigner matrices, the moments of roots of Hermite polynomials and the semicircle law
Miklós Kornyik, György Michaletzky
In the present paper we give two alternate proofs of the well known theorem that the empirical distribution of the appropriately normalized roots of the monic Hermite poly…