Fat Fisher Zeroes

We show that it is possible to determine the locus of Fisher zeroes in the thermodynamic limit for the Ising model on planar (``fat'') phi4 random graphs and their dual quadrangulations by matching up the real part of the high and low temperature branches of the expression for the free energy. The form of this expression for the free energy also means that series expansion results for the zeroes may be obtained with rather less effort than might appear necessary at first sight by simply reverting the series expansion of a function g(z) which appears in the solution and taking a logarithm. Unlike regular 2D lattices where numerous unphysical critical points exist with non-standard exponents, the Ising model on planar phi4 graphs displays only the physical transition at c = exp (- 2 beta) = 1/4 and a mirror transition at c=-1/4 both with KPZ/DDK exponents (alpha = -1, beta = 1/2, gamma = 2). The relation between the phi4 locus and that of the dual quadrangulations is akin to that between the (regular) triangular and honeycomb lattices since there is no self-duality.Comment: 12 pages + 6 eps figure

The Effects of Plyometric Training on Spinal and Supraspinal Motor Control

Purpose: The purpose of this study was to determine the effects of plyometric training on spinal and supraspinal motor control in healthy active females. Methods: A 2 (Group) x 2 (Session) x 2 (Stance) mixed model design was used for homosynaptic depression (HD) and recurrent inhibition (RI) data. A 2 (Group) x 2 (Session) mixed model design was used for H:M ratios and V-waves (V:M ratios) data. Thirty-one participants were recruited to participate in the study. Participants participated in either the training or control group for 6-weeks. All participants were measured pre- and post-intervention on H:M ratios, HD, RI, and V-waves. Results: There were no statistically significant interactions for any of the dependent variables (p \u3e 0.05). There was a session main effect for RI (p = 0.01) as well as a group main effect (p = 0.01) and a stance main effect (p \u3c 0.01) for HD. Conclusions: Performing plyometric training does not modulate the spinal or supraspinal motor control based on the findings of this study. Plyometric training is not the only component that should be used in Anterior Cruciate Ligament Injury Prevention Programs to alter motor control. A more challenging and higher impact plyometric exercises are suggested to allow more demand on the neural drive of the physically active participants