Parabolic BMO and global integrability of supersolutions to doubly nonlinear parabolic equations

We prove that local and global parabolic BMO spaces are equal thus extending the classical result of Reimann and Rychener. Moreover, we show that functions in parabolic BMO are exponentially integrable in a general class of space-time cylinders. As a corollary, we establish global integrability for positive supersolutions to a wide class of doubly nonlinear parabolic equations.Comment: 19 page

Propagation of Bessel beams from a dielectric to a conducting medium

Recently, the use of Bessel beams in evaluating the possibility of using them for a new generation of GPR (ground penetrating radar) systems has been considered. Therefore, an analysis of the propagation of Bessel beam in conducting media is worthwhile. We present here an analysis of this type. Specifically, for normal incidence we analyze the propagation of a Bessel beam coming from a perfect dielectric and impinging on a conducting medium, i.e. the propagation of a Bessel beam generated by refracted inhomogeneous waves. The remarkable and unexpected result is that the incident Bessel beam does not change its shape even when propagating in the conducting medium.Comment: To be publishe

A new geometric approach to Sturmian words

We introduce a new geometric approach to Sturmian words by means of a mapping that associates certain lines in the n x n -grid and sets of finite Sturmian words of length n. Using this mapping, we give new proofs of the formulas enumerating the finite Sturmian words and the palindromic finite Sturmian words of a given length. We also give a new proof for the well-known result that a factor of a Sturmian word has precisely two return words.Comment: 12 pages, 7 figures. A preprint of a paper to appear in Theoretical Computer Scienc

Spectroscopic signatures of different symmetries of the superconducting order parameter in metal-decorated graphene

Motivated by the recent experiments indicating superconductivity in metal-decorated graphene sheets, we investigate their quasi-particle structure within the framework of an effective tight-binding Hamiltonian augmented by appropriate BCS-like pairing terms for p-type order parameter. The normal state band structure of graphene is modified not only through interaction with adsorbed metal atoms, but also due to the folding of bands at Brillouin zone boundaries resulting from a $\sqrt{3}\times\sqrt{3}R30^{\circ}$ reconstruction. Several different types of pairing symmetries are analyzed utilizing Nambu-Gorkov Green's function techniques to show that $p+ip$-symmetric nearest-neighbor pairing yields the most enhanced superconducting gap. The character of the order parameter depends on the nature of the atomic orbitals involved in the pairing process and exhibits interesting angular and radial asymmetries. Finally, we suggest a method to distinguish between singlet and triplet type superconductivity in the presence of magnetic substitutional impurities using scanning tunneling spectroscopy.Comment: Preprint, 15 pages, 4+1 figure

Comparative analysis of digital artifact persistence between file format

As we know digital forensics is a scientific examination and analysis of data that when it held on, or where it is retrieved from so that the information collected can be used as evidence in a court of law. Nowadays, digital evidence are very useful to provide when case in court. The deleted file of document, audio or image can be recover back as digital artifact [1]. Therefore, it is very clear from the experience that digital artifact are important witnesses to care

The Impact of increase in energy prices on sectoral costs of production of the Malaysian economy

This paper examines the impact of an increase in the petroleum price on the sectoral costs of production. Three components of costs of production, which comprise domestic materials, imported input, and labour have been identified. By using the input-output model, different scenarios of the petroleum price changes on sectoral costs of production were stimulated. The simulation results indicated that the fishing, forestry, and logging product, electricity and gas, cement, lime and plaster, and transport sectors are mostly affected by the increase in petroleum price. These sectors are expected to show large impact on costs of production as a result of petroleum price increase because these industries highly consume petroleum products as an intermediate input in their production process