I will discuss real-space condensation in the balls-in-box model (also known as the urn model, backgammon model, or random allocation model). I will then briefly present a classification of phase transitions related to condensation and discuss the critical behavior of the model, as well as the singularities of the thermodynamic potential and Rényi entropy associated with the phase transition.
We consider the Price model for an evolving network, i.e., a growing graph, in which, in every iteration, we add a new vertex and join its edges to the existing vertices based on a mixture of the preferential attachment rule and the purely accidental component. We derive the models' expected vertex degrees and show that they coincide with the order statistics from the Pareto type-2...
In many biological systems and various artificial materials that map them, particles pass through nanopores and nanochannels.
Artificial single nanopores are attracting increasing attention due to their potential use in nanofluidics, sensor technology, and information processing.
In this type of research, experiments focus on properties that affect the mobility of a molecule traveling...
