it is shown that there are exactly seventy-eight 3-generator 2-groups of order $2^{11}$ with trivial schur multiplier. we then give 3-generator, 3-relation presentations for forty-eight of them proving that these groups have deficiency zero.

In the last few years Ayache, Esser and Hamonier introduced a new Multifractional Process with Random Exponent (MPRE) obtained by replacing Hurst parameter in moving average representation of Fractional Brownian Motion through Wiener integral an adapted Hölder continuous stochastic process indexed integration variable. Thus, this MPRE can be expressed as Itô which is considerable advantage resp...

We investigate the joint source-channel coding (JSCC) excess distortion exponent EJ (the exponent of the probability of exceeding a prescribed distortion level) for memoryless communication systems with continuous alphabets. We first establish upper and lower bounds for EJ for systems consisting of a memoryless Gaussian source under the squared-error distortion fidelity criterion and a memoryle...

We study the Hausdorff dimension spectrum for Lyapunov exponents for a class of interval maps which includes several non-hyperbolic situations. We also analyze the level sets of points with given lower and upper Lyapunov exponents and, in particular, with zero lower Lyapunov exponent. We prove that the level set of points with zero exponent has full Hausdorff dimension, but carries no topologic...