In this paper, we give a systematic review of the theory of Gibbs measures of Potts model on
Cayley trees (developed since 2013) and discuss many applications of the Potts model to …

In this chapter we give main definitions and useful facts of the theory of Gibbs measures of
lattice spin systems. In the first section we give general definitions. This chapter also …

In this investigation, we consider the one-dimensional (1D) mixed-type Potts-SOS model,
where the spin is within the range of {− 1, 0, 1}. We elaborate thermodynamic characteristics …

Cellular automata (CA) are mathematical models that allow the study of emergent behavior
from a bottom-up point of view, while the Potts model is renowned for its rich dynamics …

Oil pipeline is a kind of high-risk continuous transportation system. High consequence area
refers to the area where public life as well as property are endangered and even the …

We propose a stochastic process of interacting many agents, which is inspired by rank-
based supplanting dynamics commonly observed in a group of Japanese macaques. In …

Cellular automata (CA) are discrete dynamical systems that allow the study of emergent
phenomena from a bottom-up point of view. In this thesis, we focus on the Q2R-Potts model …

Los autómatas celulares (AC) son sistemas dinámicos discretos que permiten el estudio de
fenómenos emergentes desde una perspectiva microscópica, o bottom-up. En esta tesis …

We address the well-known limitation of the Huxley and Simmons 1971 (HS) model. It is the
statement that at physiological value of stiffness in the actomyosin complex, the distribution …

From the seventeenth-century Dutch Tulip Bubble and the eighteenth-century South Sea
Bubble to the more recent Dotcom Bubble and US Housing Bubble, the economic history …