We refute the claims made by Riera and Chalub [Phys. Rev. E 58, 4001 (1998)] by demonstrating that they have not provided enough data (requisite in their series expansion method) to draw reliable conclusions about criticality of self-avoiding walks on the Sierpinski gasket family of fractals.

In this paper we modify the method of Nazarov, Peres, and Volberg [14] to get an estimate from above of the Buffon needle probability of the nth partially constructed Sierpinski gasket of Hausdorff dimension 1.

We construct a one-parameter family of self-repelling processes on the Sierpi nski gasket, by taking scaling limits of self-repelling walks on the pre-Sierpi nski gaskets. We prove that our model interpolates between the Brownian motion and the self-avoiding process on the Sierpi nski gasket. Namely, we prove that the process is continuous in the parameter in the sense of convergence in law, an...

Abstract Improper disposal and accumulation of waste tire rubbers have posed a serious threat to the development circular economy, sustainable environment, human health. In light drawback current management tires, recycling transformation reclaimed rubber (RR) into valuable end products has received significant attention from industries academic field. Herein, we propose facile method reuse RR ...

The industry of hermetic compressors for domestic refrigeration have been continuously studying ways to increase the performance of its products, with the aim of reducing the demand of electric energy and so contribute for a lower environmental damage in the future. One of the systems in which focus is put on during the compressor development, is the suction and discharge manifold. Such focus i...

Analysis of laser assisted frit sealing processes for high CTE > 5x10/°C (coefficient of thermal expansion) glasses was done. The method is based on the thermal fusion of two glasses with a low melting point glass frit. This method is used when thermal sensitive materials such as OLED (organic light emissive device) are present in the glass package. The frit is selected to be highly absorbent a...

The aim of this study was to compare the genotypic diversity and virulence traits of Streptococcus mutans isolated from carious dentin before and after partial dentin caries removal (PDR) and sealing. Carious dentin samples were obtained three months before and after the PDR and cavity sealing. Up to seven isolates of each morphological type of S. mutans were selected and strain identity was co...