Dynamical Belyi maps

We study the dynamical properties of a large class of rational maps with exactly three ramification points. By constructing families of such maps, we obtain infinitely many conservative maps of degree $d$; this answers a question of Silverman. Rather precise results on the reduction of these maps yield strong information on the rational dynamics.Comment: 21 page

Gravitational Scattering in the c = 1 Matrix Model

The $c=1$ matrix model is equivalent to $1+1$ dimensional string theory. However, the tachyon self-interaction in the former is local, while in the latter it is nonlocal due to the gravitational, dilaton and higher string fields. By studying scattering of classical pulses we show that the appropriate nonlocal field redefinition converts the local matrix model interaction into the expected string form. In particular, we see how the asymptotic behavior of the gravitational field appears in the scattering.Comment: 20 pages + 2 figures (included as a uufile), LaTe

Yang-Mills Duals for Semiclassical Strings

We consider a semiclassical multiwrapped circular string pulsating on S_5, whose center of mass has angular momentum J on an S_3 subspace. Using the AdS/CFT correspondence we argue that the one-loop anomalous dimension of the dual operator is a simple rational function of J/L, where J is the R-charge and L is the bare dimension of the operator. We then reproduce this result directly from a super Yang-Mills computation, where we make use of the integrability of the one-loop system to set up an integral equation that we solve. We then verify the results of Frolov and Tseytlin for circular rotating strings with R-charge assignment (J',J',J). In this case we solve for an integral equation found in the O(-1) matrix model when J' J. The latter region starts at J'=L/2 and continues down, but an apparent critical point is reached at J'=4J. We argue that the critical point is just an artifact of the Bethe ansatz and that the conserved charges of the underlying integrable model are analytic for all J' and that the results from the O(-1) model continue onto the results of the O(+1) model.Comment: 26 Pages, LaTeX; v2 Typos corrected, reference update

Renal Siderosis in Donor Allograft: Pathologic and Clinical Sequelae.

Transplantation of a cadaver kidney with marked siderosis and its outcome has not been reported. Increasing use of marginal kidneys has become common practice to expand the donor pool to meet the growing demand and will lead to increased recognition of kidney disease in cadaver donors with an unknown effect on graft outcome. This is a case report of a recipient of a cadaver kidney with marked siderosis monitored by surveillance biopsies and evaluated by clinico-pathological correlation. The recipient continued to have transplant kidney function, and a surveillance biopsy shows the natural course of the pathologic resolution of renal siderosis