12 citations · 21 across the 11 of their papers we have counts for
11 papers
Accuracy criterion for mean field approximations of Markov processes on hypergraphs
Illes Horvath, Daniel Keliger
We provide error bounds for the N-intertwined mean-field approximation (NIMFA) for local density-dependent Markov population processes with a well-distributed underlying network st…
Optimized numerical inverse Laplace transformation
Illes Horvath, Andras Meszaros, Miklos Telek
Among the numerical inverse Laplace transformation (NILT) methods, those that belong to the Abate-Whitt framework (AWF) are considered to be the most efficient ones currently. It i…
Local-density dependent Markov processes on graphons with epidemiological applications
Daniel Keliger, Illes Horvath, Balint Takacs
We investigate local-density dependent Markov processes on a class of large graphs sampled from a graphon, where the transition rates of the vertices are influenced by the states o…
Mean field limit of local density-dependent Markov processes on weighted Erdos-Renyi graphs
Daniel Keliger, Illes Horvath
We study the asymptotic behaviour of Markov processes on large weighted Erdos-Renyi graphs where the transition rates of the vertices are only influenced by the state of their neig…
Multi timescale bandwidth profile and its application for burst-aware fairness
Szilveszter Nádas, Balázs Varga, Illés Horváth +2
We propose a resource sharing scheme that takes into account the traffic history over several predefined time scales and provides fair resource sharing considering the traffic hist…
High order concentrated non-negative matrix-exponential functions
Gabor Horvath, Illes Horvath, Miklos Telek
Highly concentrated functions play an important role in many research fields including control system analysis and physics, and they turned out to be the key idea behind inverse La…
A constructive proof of the phase-type characterization theorem
I. Horvath, M. Telek
The paper presents a new proof of O'Cinneide's characterization theorem. It is much simpler than the original one and constructive in the sense that we not only show the existence…
Relaxed sector condition
Illes Horvath, Balint Toth, Balint Veto
In this note we present a new sufficient condition which guarantees martingale approximation and central limit theorem a la Kipnis-Varadhan to hold for additive functionals of Mark…
Diffusive limits for "true" (or myopic) self-avoiding random walks and self-repellent Brownian polymers in d >= 3
Illes Horvath, Balint Toth, Balint Veto
The problems considered in the present paper have their roots in two different cultures. The 'true' (or myopic) self-avoiding walk model (TSAW) was introduced in the physics litera…
Diffusive limit for the myopic (or "true") self-avoiding random walk in three and more dimension
Illes Horvath, Balint Toth, Balint Veto
The myopic (or `true') self-avoiding walk model (MSAW) was introduced in the physics literature by Amit, Parisi and Peliti (1983). It is a random motion in Z^d pushed towards domai…
Diffusive limit for self-repelling Brownian polymers in three and more dimensions
Illes Horvath, Balint Toth, Balint Veto
The self-repelling Brownian polymer model (SRBP) initiated by Durrett and Rogers in [Durrett-Rogers (1992)] is the continuous space-time counterpart of the myopic (or 'true') self-…