1. Violation of time reversal symmetry has been observed only in K0-decay many years ago [1], and remains one of the great unsolved problems in elementary particle physics. Since the discovery of the CP-violation in decay of K0-mesons, a few attempts have been undertaken to observe this phenomenon experimentally in different processes. However, that experiments have not been successful. At the ...

We present results on lattice QCD at finite temperature (T) and chemical potential (µ). We apply the overlap-improving multi-parameter reweighting technique for n f = 4 and 2 + 1 staggered QCD. We use semi-realistic masses on Lt=4 lattices. The critical endpoint (E) of 2+1 flavour QCD on the µ-T plane is located. Our results are based on O(10 3 − 10 4) configurations. §1. Introduction QCD at fi...

The third law of thermodynamics constrains the phase diagram of systems with a first-order quantum phase transition. For a zero conjugate field, the coexistence curve has an infinite slope at T=0. If a tricritical point exists at T>0, then the associated tricritical wings are perpendicular to the T=0 plane, but not to the zero-field plane. These results are based on the third law and basic ther...

Let (Bt : t ≥ 0) be a standard planar Brownian motion. Dvoretzky, Erdős and Kakutani (1958) first showed that, almost surely, there exist points x in the plane such that {t ≥ 0: Bt = x}, the set of times where the Brownian path visits x, is uncountably infinite. Modern proofs of this fact are given in Le Gall (1987) and Mörters and Peres (2010). The result naturally raises the question: How lar...

Certain imaging applications can exploit features beyond the spatial resolution of a sensor through computational super-resolution techniques. One particular method, super-sampling, involves assimilating multiple frames of digital video into composite video frames of higher average sampling density than the original sensor. Under certain conditions of scene motion and sensor characteristics, th...

We extend the results in [1] and [2] from the divergence of Hermite–Fejér interpolation in the complex plane to the divergence of arbitrary polynomial interpolation in the complex plane. In particular, we prove the following theorem: Let 1n = −1 ≤ t (n) 1 < · · · < t (n) n < 1. Let φ k be polynomials of arbitrary degree such that φ k (t (n) j ) = δk j . Then the Lebesgue function3n(x) = ∑n j=1 ...

The theory of plane-wave prediction in three dimensions is described by Claerbout (1993, 1997). Predicting a local plane wave with T -X filters amounts to finding a pair of twodimensional filters for two orthogonal planes in the 3-D space. Each of the filters predicts locally straight lines in the corresponding plane. The system of two 2-D filters is sufficient for predicting all but purely ver...

In the ITU-T ASON architecture, the control plane is responsible for providing intelligence to the network. The GMPLS paradigm pleads for a separation between the control plane and the forwarding plane. If the control plane is deployed disjoint from the forwarding plane, recovery mechanisms to ensure its proper operation are required. In this paper, on one hand, a quasi-associated mode backup c...

The theory of plane-wave prediction in three dimensions is described by Claerbout (1993, 1999). Predicting a local plane wave with T-X filters amounts to finding a pair of twodimensional filters for two orthogonal planes in the 3-D space. Each of the filters predicts locally straight lines in the corresponding plane. The system of two 2-D filters is sufficient for predicting all but purely vert...

OBJECTIVE To assess intraocular lens (IOL) power calculations in patients undergoing cataract surgery after excimer laser photorefractive keratectomy (PRK) for myopia. METHODS Four eyes of two patients underwent phacoemulsification with IOL implantation after PRK for myopia. The estimated refractive error that would have been induced had the IOL predicted for emmetropia been implanted was cal...