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of 23
pro vyhledávání: '"Keliger, Dániel"'
We study stationary epidemic processes in scale-free networks with local awareness behavior adopted by only susceptible, only infected, or all nodes. We find that while the epidemic size in the susceptible-aware and the all-aware scenarios scales lin
Externí odkaz:
http://arxiv.org/abs/2409.01384
Autor:
Keliger, Dániel, Ráth, Balázs
We study Markov processes on weighted directed hypergraphs where the state of at most one vertex can change at a time. Our setting is general enough to include simplicial epidemic processes, processes on multilayered networks or even the dynamics of
Externí odkaz:
http://arxiv.org/abs/2408.16908
We study SIR type epidemics on graphs in two scenarios: (i) when the initial infections start from a well connected central region, (ii) when initial infections are distributed uniformly. Previously, \'Odor et al. demonstrated on a few random graph m
Externí odkaz:
http://arxiv.org/abs/2304.11971
Autor:
Keliger, Dániel
We are investigating deterministic SIS dynamics on large networks starting from only a few infected individuals. Under mild assumptions we show that any two epidemic curves - on the same network and with the same parameters - are almost identical up
Externí odkaz:
http://arxiv.org/abs/2204.02092
Autor:
Horvath, Illes, Keliger, Daniel
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 structure showing NIMFA being accurate when a typical vertex has many ne
Externí odkaz:
http://arxiv.org/abs/2201.02041
Autor:
Keliger, Dániel
Publikováno v:
In Physica A: Statistical Mechanics and its Applications 15 June 2024 644
Autor:
Keliger, Dániel
We study Markov population processes on large graphs, with the local state transition rates of a single vertex being linear function of its neighborhood. A simple way to approximate such processes is by a system of ODEs called the homogeneous mean-fi
Externí odkaz:
http://arxiv.org/abs/2105.13446
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 of their neighbors. We show that as the average degree converges to inf
Externí odkaz:
http://arxiv.org/abs/2008.08109
Autor:
Keliger, Daniel, Horvath, Illes
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 neighbours and the corresponding weight on the edges. We find the ratio of
Externí odkaz:
http://arxiv.org/abs/2004.01734
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