Conformal curves in the Potts model: numerical calculation

Numerical Conformal Mappings for Regions Bounded by Smooth Curves

v Sammanfattning vi Acknowledgments viii

Calculation of yeast prion curing curves by numerical transform inversion

If the chemical guanidine hydrochloride is added to a dividing culture of yeast cells that carry a yeast prion, the proportion of cells that have the prion gradually decreases over time. Stochastic models to describe this process of ‘curing’ have been developed in earlier work. The present paper investigates the use of numerical Laplace inversion methods to calculate curing curves and contrasts...

The Conformal Theory of Curves.

The Glassy Potts Model

We introduce a Potts model with quenched, frustrated disorder, that enjoys of a gauge symmetry that forbids spontaneous magnetization, and allows the glassy phase to extend from Tc down to T = 0. We study numerical the 4 dimensional model with q = 4 states. We show the existence of a glassy phase, and we characterize it by studying the probability distributions of an order parameter, the binder...

A method of calculation for the determinant of the Potts model transfer matrix

By using a decomposition of the transfer matrix of the two dimensional q-state Potts Model to V ′ 1 and V 2 its determinant is calculated. Our result is a proof for a conjectured formula by Chang and Shrock in [14].