On the mixing rate of the triangulation walk

On the Mixing Rate of the Triangulation

Let T n denote the set of triangulations of a convex polygon K with n sides. We study the random walk on T n whose transitions are \\ips" of one of the n ? 3 internal diagonals of the current triangulation, the choice of diagonal being random. By bounding the conductance of this graph we show that the walk mixes rapidly, namely in time O(n). A direct argument is given for the fact that the mixi...

On the mixing time of the triangulation walk and other Catalan structures

Fluid Dynamics in a Copper Converter: an Investigation on Mixing Phenomena in an Experimental Model

In this study, the mixing phenomena and fluid dynamics in a copper converter have been experimentally investigated using a physical model. The physical model is a 1:5 horizontal tank made of Plexiglas. The mixing phenomena have been characterized by experimentally measuring the mixing time using a tracer dispersion technique. Moreover, the effects of the air flow rate and lance submergence on t...

Correlation of Viscosity of Aqueous Solutions of Alkanolamine Mixtures Based on the Eyring's Theory and Wong-Sandler Mixing Rule

A viscosity model, based on Eyring’s absolute rate theory combined with a cubic PR equation of state and Wong-Sandler mixing rule, has been proposed in order to correlate viscosities of aqueous solutions of alkanolamine mixtures at atmospheric pressure and different temperatures. In the proposed method, the energy and size parameters in studied Equation of State (EoS) have been obtained usi...

The Study of Triangulation Forms and Their Relationship with Parenting Styles among Families in Yazd

Introduction: The family provides the first seed of human development and personality development. The child learns ethical principles and social relationships with others in the family. So it is important to know what relationships are in the parents’ family and how they raise their children. The main purpose of this study was to investigate triangulation forms and their relationship with pare...