In ultrarelativistic heavy ion collisions a finite size QCD medium is created. In this paper we compute radiative energy loss to zeroth order in opacity by taking into account finite size effects. Transition radiation occurs on the boundary between the finite size medium and the vacuum, and we show that it lowers the difference between medium and vacuum zeroth order radiative energy loss relati...

Abstract We study Hessian estimators for functions defined over an $n$-dimensional complete analytic Riemannian manifold. introduce new stochastic zeroth-order using $O (1)$ function evaluations. show that, real-valued $f$, our estimator achieves a bias bound of order $ O ( \gamma \delta ^2 ) $, where depends on both the Levi–Civita connection and $\delta is finite difference step size. To best...

A compact Zeroth Order Resonator Antenna (ZORA) is implemented as a part of course work for Radio Frequency Integrated Circuits and Systems (E8-242). This work is based on [1] . Due to the unique properties of Compact Right/Left Handed (CRLH) transmission lines, the size of the antenna is independent of the frequency of operation. This compact structure is made of two unit cells each comprising...

We propose a method for zeroth order stochastic convex optimization that attains the suboptimality rate of Õ(n7T−1/2) after T queries for a convex bounded function f : R → R. The method is based on a random walk (the Ball Walk) on the epigraph of the function. The randomized approach circumvents the problem of gradient estimation, and appears to be less sensitive to noisy function evaluations c...

Abstract Employing the covariant language of two-spinors, we find what conditions a curved four-dimensional Lorentzian spacetime must satisfy for existence second order symmetry operator massive Dirac equation. The are formulated as set Killing spinors satisfying linear differential equations. Using these spinors, then state most general form such an operator. Partial results zeroth and first p...

ÐThis paper studies the recovery of shape from texture under perspective projection. We regard Shape from Texture as a statistical estimation problem, the texture being the realization of a stochastic process. We introduce warplets, which generalize wavelets over the 2D affine group. At fine scales, the warpogram of the image obeys a transport equation, called Texture Gradient Equation. In orde...