44 citations · 53 across the 7 of their papers we have counts for
7 papers
A mini-review on combinatorial solutions to the Marcus-Lushnikov irreversible aggregation
Michał Łepek, Agata Fronczak, Piotr Fronczak
Over the past decade, a combinatorial framework for discrete, finite, and irreversibly aggregating systems has emerged. This work reviews its progress, practical applications, and…
Towards fractal origins of the community structure in complex networks: a model-based approach
Mateusz Samsel, Kordian Makulski, Michał Łepek +2
In this paper, we pose a hypothesis that the structure of communities in complex networks may result from their latent fractal properties. This hypothesis is based not only on the…
How initial condition impacts aggregation -- a systematic numerical study
Michał Łepek
In a process of aggregation, a finite number of particles merge irreversibly to create growing clusters. In this work, impact of particular initial conditions: monodisperse, power-…
Coalescense with arbitrary-parameter kernels and monodisperse initial conditions: A study within combinatorial framework
Michał Łepek, Agata Fronczak, Piotr Fronczak
For this work, we studied a finite system of discreet-size aggregating particles for two types of kernels with arbitrary parameters, a condensation (or branched-chain polymerizatio…
Combinatorial solutions to generalized electrorheological kernel aggregation
Michał Łepek, Agata Fronczak, Piotr Fronczak
For this paper, we studied the time evolution of a system of coagulating particles under a generalized electrorheological (ER) kernel with real power, $K\left(i,j\right) = \left( \…
Automatic cough detection based on airflow signals for portable spirometry system
Mateusz Soliński, Michał Łepek, Łukasz Kołtowski
We give a short introduction to cough detection efforts that were undertaken during the last decade and we describe the solution for automatic cough detection developed for the Aio…
Exact combinatorial approach to finite coagulating systems through recursive equations
Michał Łepek, Paweł Kukliński, Agata Fronczak +1
This work outlines an exact combinatorial approach to finite coagulating systems through recursive equations and use of generating function method. In the classic approach the mean…