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- Agata Fronczak, Piotr Fronczak, Janusz A Hołyst
- Physical review. E, Statistical, nonlinear, and…
- 2004

Analytic solution for the average path length in a large class of uncorrelated random networks with hidden variables is found. We apply the approach to classical random graphs of Erdös and Rényi… (More)

- Agata Fronczak, Piotr Fronczak
- Physical review. E, Statistical, nonlinear, and…
- 2009

We study the biased random-walk process in random uncorrelated networks with arbitrary degree distributions. In our model, the bias is defined by the preferential transition probability, which, in… (More)

- Agata Fronczak, Piotr Fronczak, Janusz A Hołyst
- Physical review. E, Statistical, nonlinear, and…
- 2003

We applied a mean-field approach to study clustering coefficients in Barabási-Albert (BA) networks. We found that the local clustering in BA networks depends on the node degree. Analytic results have… (More)

Abstract General features of stability domains for time-delayed feedback control exist, which can be predicted analytically. We clarify, why the control scheme with a single delay term can only… (More)

Analytic solution for the average path length in a large class of uncorrelated random networks with hidden variables is found. We apply the approach to classical random graphs of Erdös and Rényi… (More)

We investigate, by numerical simulations, how the avalanche dynamics of the Bak-Tang-Wiesenfeld (BTW) sandpile model can induce emergence of scale-free (SF) networks and how this emerging structure… (More)

- Agata Fronczak, Anna Chmiel, Piotr Fronczak
- Physical review. E
- 2018

This paper outlines an exact combinatorial approach to finite coagulating systems. In this approach, cluster sizes and time are discrete and the binary aggregation alone governs the time evolution of… (More)

- Agata Fronczak, Piotr Fronczak
- Physical review. E, Statistical, nonlinear, and…
- 2010

Taylor's fluctuation scaling (FS) has been observed in many natural and man-made systems revealing an amazing universality of the law. Here, we give a reliable explanation for the origins and… (More)

- Piotr Fronczak, Agata Fronczak, Janusz A Hołyst
- Physical review. E, Statistical, nonlinear, and…
- 2006

We investigate, by numerical simulations, how the avalanche dynamics of the Bak-Tang-Wiesenfeld sandpile model can induce emergence of scale-free networks and how this emerging structure affects… (More)

- Agata Fronczak, Piotr Fronczak, Janusz A Hołyst
- Physical review. E, Statistical, nonlinear, and…
- 2007

In this paper the linear theory of nonequilibrium thermodynamics, developed by Onsager and others, is applied to random networks with arbitrary degree distribution. Using the well-known methods of… (More)