Resolving a conjecture of Kühn and Osthus from 2012, we show that p = 1 / n <...

We will present a new method, which enables us to find threshold functions for many properties in random intersection graphs. This method will be used to establish sharp threshold functions in random intersection graphs for k–connectivity, perfect matching containment and Hamilton cycle containment. keywords: random intersection graph, threshold functions, connectivity, Hamilton cycle, perfect ...

In this work, a generalized study of the conditions for appearance limit cycle oscillations induced by any kind sampler with multilevel fixed thresholds is presented. These kinds samplers, which will be referred to as Fixed Threshold Samplers (FTS), are characterized series parameters, which, when selected properly, allow obtaining some most used forms quantization in Event-Based Control (EBC)....

We study a model for cascade effects over finite networks based on a deterministic binary linear threshold model. Our starting point is a networked coordination game where each agent’s payoff is the sum of the payoffs coming from pairwise interactions with each of the neighbors. We first establish that the best response dynamics in this networked game is equivalent to the linear threshold dynam...

We develop a mathematical model of the peripheral naive T cell population to study the change in human naive T cell numbers from birth to adulthood, incorporating thymic output and the availability of interleukin-7 (IL-7). The model is formulated as three ordinary differential equations: two describe T cell numbers, in a resting state and progressing through the cell cycle. The third is introdu...