We study the effect of random forces on a double-stranded DNA in unzipping the two strands, analogous to the problem of an adsorbed polymer under a random force. The ground state develops bubbles of various lengths as the random force fluctuation is increased. The unzipping phase diagram is shown to be drastically different from the pure case.

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Resolving a conjecture of Füredi from 1988, we prove that with high probability, the random graph G </m...

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886  Abstract— Growing with the fast evolution of digital data exchange, security information becomes much important in data storage and transmission. Due to the increasing use of images in industrial process, it is essential to protect the confidential image data from unauthorized access. The security system based on the fractional Fourier transform (FRFT) is protected by only a certain order...

John T. Sheridan, MEMBER SPIE University College, Dublin College of Engineering, Mathematics and Physical Sciences School of Electrical, Electronic and Mechanical Engineering and Optoelectronic Research Centre and SFI-Strategic Research Cluster in Solar Energy Conversion Belfield, Dublin 4, Ireland E-mail: [email protected] Abstract. An optical implementation of the amplitude encoded double ...

We use geometric arguments to prove explicit bounds on the mean oscillation for two important rearrangements R n ...