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A. Rovenchak

Publications and source records attributed to A. Rovenchak.

3 recordsLinked to original sources

Thermodynamic stability and structural transitions in virus-host networks

Understanding virus-host interactions is crucial for predicting the stability of networks under various perturbations. In this study, we present an analysis of virus-related networks for several organisms (Homo sapiens, Mus musculus, Gallus gallus), encompassing directed and weighted connections. We compute a range of network parameters, including topological characteristics and thermodynamic quantities derived from adjacency spectra, to gain insights into the structural robustness and dynamic behavior of the networks. To assess stability, we model two distinct node removal scenarios: targeted elimination of the most influential nodes and random removal. Our findings reveal transition-like behavior in spectral thermodynamic functions and characteristic changes in structural measures, contributing to evaluating the potential of a thermodynamic framework for studying virus-host networks and advancing a deeper understanding of their dynamics.

cond-mat.other

Lviv period for Smoluchowski: Science, teaching, and beyond

A major part of Marian Smoluchowski's achievements in science corresponds to the period of his work at the University of Lviv. Since this part is well described in the literature, in the paper the emphasis is made on some less known activities of this outstanding scientist: his teaching, his organizational efforts, and even his hobbies. The list of publications corresponding to the Lviv period is given.

physics.hist-ph

Asymptotic formulas for integer partitions within the approach of microcanonical ensemble

The problem of integer partitions is addressed using the microcanonical approach which is based on the analogy between this problem in the number theory and the calculation of microstates of a many-boson system. For ordinary (one-dimensional) partitions, the correction to the leading asymptotic is obtained. The estimate for the number of two-dimensional (plane) partitions coincides with known asymptotic results.

cond-mat.stat-mech