The clustering phenomenon is common in real world networks. A discrete-time network model is proposed firstly in this paper, and then the phase clustering dynamics of the networks are studied carefully. The proposed model acts as a bridge between the dynamic phenomenon and the topology of a modular network. On one hand, phase clustering phenomenon will occur for a modular network by the propose...

J. Boryca, T. Wyleciał, D. Urbaniak, Częstochowa University of Technology, Czestochowa, Poland In the process of heating steel the processes of chemical interaction occur between the furnace atmosphere and the surface of the steel being heated. Great importance, in aspect of course of the oxidizing process equal as well as for phenomenon of scale adhesion on the charge surface, condition of his...

This paper studies a setting where a principal needs to motivate teams of agents whose efforts lead to an outcome that stochastically depends on the combination of agents’ actions, which are not directly observable by the principal. In [1] we suggest and study a basic “combinatorial agency” model for this setting. In this paper we expose a somewhat surprising phenomenon found in this setting: c...

Models involving elds often rely on details of a spatiotemporal scale range that is considered relevant to a particular phenomenon. We propose a generic representation for classical IR-valued scalar and density elds incorporating scale a priori . To this end a eld is embedded into a causal, versal family with scale as the control parameter, such that no scale bias is introduced and physical con...