We investigate how the properties of inhomogeneous patterns activity, appearing in many natural and social phenomena, depend on temporal resolution used to define individual bursts activity. To this end, we consider time series microscopic events produced by a self-exciting Hawkes process, leverage percolation framework study formation macroscopic activity as function parameter. find that very ...

In the last two decades, network science has blossomed and influenced various fields, such as statistical physics, computer science, biology sociology, from perspective of heterogeneous interaction patterns components composing complex systems. As a paradigm for random semi-random connectivity, percolation model plays key role in development its applications. On one hand, concepts analytical me...

We study the behavior of center sectors in pure SU(4) lattice gauge theory at finite temperature. The center sectors are defined as spatial clusters of neighboring sites with values of their local Polyakov loops near the same center elements. We study the connectedness and percolation properties of the center clusters across the deconfinement transition. We show that for SU(4) gauge theory deco...

Given an initially uncovered field, and as more and more directional sensors (sensors with sector shape sensing area) are continuously added to the sensor network, the size of partial covered areas increases. At some point, the situation abruptly changes from small fragmented covered areas to a single large covered area. This abrupt change is called the sensing-coverage phase transition (SCPT)....

This paper studies a class of growing systems of random walks on regular trees, known as frog models with geometric lifetime in the literature. With the help of results from renewal theory, we derive new bounds for their critical parameters. As a byproduct, we also improve the bounds of the literature for the critical parameter of a percolation model on trees called cone percolation.

We present a study of connectivity percolation in suspensions of hard spherocylinders by means of Monte Carlo simulation and connectedness percolation theory. We focus attention on polydispersity in the length, the diameter, and the connectedness criterion, and we invoke bimodal, Gaussian, and Weibull distributions for these. The main finding from our simulations is that the percolation thresho...

We theoretically study the development of spontaneous magnetization in diluted magnetic semiconductors as arising from a percolation of bound magnetic polarons. Within the framework of a generalized percolation theory we derive analytic expressions for the Curie temperature and the magnetization in the limit of low carrier density, obtaining excellent quantitative agreement with Monte Carlo sim...

a r t i c l e i n f o The setting of cement paste is widely understood to be caused by percolation of the links that are created by overlap of hydration products on the surfaces of reacting grains of clinker. Percolation theory predicts that the elastic modulus will increase with a certain functional form, but few attempts have been made to demonstrate this behavior quantitatively. We discuss t...