Derivatives market has known an enormous and continuous development from the late 1970s, thanks to the most celebrated Black-Scholes-Merton formula. The impact on global economy is also tremendous, but due to the high leverage of speculative option trading there is a perpetual danger of economic...

Variational principles for the rate distortion (RD) theory in lossy compression are formulated within the ambit of the generalized nonextensive statistics of Tsallis, for values of the nonextensivity parameter satisfying 0<q<1 and q>1. Alternating minimization numerical schemes to evaluate the nonextensive...</q<1>