We study the spectral form factor (SFF) of general topological gravity in limit large time and fixed temperature. It has been observed recently that this limit, called tau-scaling genus expansion SFF can be summed up late-time behavior such as ramp-plateau transition studied analytically. In paper we develop a technique for systematic computation higher order corrections to strict limit. obtain...

A fast coding algorithm for images using vector quantization (VQ) and pixelwise fractal approximation is proposed. The low frequency component of an input image is approximated and its residual is used to calculate the scaling factor of fractal transform. The scaling factor is compressed by transform VQ (TVQ). In the proposed method, lo encode a digital image by an iterated function system (IFS...

There exist two types of commonly studied stochastic elliptic models in literature: (I) r (a(x,x)r u(x,x)) = f(x) and (II) r ðaðx; xÞ}ruðx;xÞÞ 1⁄4 f ðxÞ, where x indicates randomness, } the Wick product, and a(x,x) is a positive random process. Model (I) is widely used in engineering and physical applications while model (II) is usually studied from the mathematical point of view. The differenc...