Three mechanisms for power laws on the Cayley tree.

The Abdus Salam International Centre for Theoretical Physics Phase Transitions for Quantum Xy -model on the Cayley Tree of Order Three in Quantum Markov Chain Scheme

In the present paper we study forward Quantum Markov Chains (QMC) defined on a Cayley tree. Using the tree structure of graphs, we give a construction of quantum Markov chains on a Cayley tree. By means of such constructions we prove the existence of a phase transition for the XY -model on a Cayley tree of order three in QMC scheme. By the phase transition we mean the existence of two distinct ...

مطالعه حالت شوک روی درخت کیلی به وسیله روش بازه پُر

The most common reaction-diffusion model on a Cayley tree with the nearest neighbor interactions is introduced, and the shock measure on a Cayley tree with the nearest interactions is studied. This can be solved through the full-interval method, the evolution equation of the system can be solved exactly in a closed form. The stationary solutions of such models are discussed and the final config...

Complete Growth Series of Coxeter Groups with more than Three Generators

The role of power law nonlinearity in the discrete nonlinear Schrödinger equation on the formation of stationary localized states in the Cayley tree

We study the formation of stationary localized states using the discrete nonlinear Schrödinger equation in a Cayley tree with connectivity K. Two cases, namely, a dimeric power law nonlinear impurity and a fully nonlinear system are considered. We introduce a transformation which reduces the Cayley tree into an one dimensional chain with a bond defect. The hopping matrix element between the imp...

Perspective of Mutual Recognition;Challenges and Mechanisms for Implementing it in the Area of European :::::::::union::::::::: Criminal Law

Abstract: Creation of new criminal law in the European ::::::::union:::::::: has led to an approximation of the criminal law of member states to each other. Compliance with this obligation for EU member states is due to the provisions of the Treaty of Lisbon. Main approach of the Treaty of Lisbon is to resort to the option of harmonizing the criminal laws of the member states, which is a new ch...