There is today a growing need to accurately model the angular scattering response of metasurfaces for optical analog processing applications. However, current metasurface modeling techniques are not well suited such task since they limited small spectrum transformations, as shall be demonstrated. The goal this work overcome limitation by improving accuracy these and, specifically, provide bette...

We analyze Darboux transformations in very general settings for multidimensional linear partial differential operators. We consider all known types of Darboux transformations, and present a new type. We obtain a full classification of all operators that admit Wronskian type Darboux transformations of first order and a complete description of all possible first-order Darboux transformations. We ...

Renormalization Group transformations of the decimation type in more than one dimension. Abstract We develop a formalism for performing real space renormalization group transformations of the " decimation type " using low temperature perturbation theory. This type of transformations beyond d = 1 is highly nontrivial even for free theories. We construct such a solution in arbitrary dimensions an...

A criterion of joint ergodicity of several sequences of transformations of a probability measure space X of the form T φi(n) i is given for the case where Ti are commuting measure preserving transformations of X and φi are integer valued generalized linear functions, that is, the functions formed from conventional linear functions by an iterated use of addition, multiplication by constants, and...

The way super- and sub-additive transformations of aggregation functions are introduced involve suprema and infima taken over simplexes whose dimensions may grow arbitrarily. Exact values of such transformations may thus be hard to determine in general. In this note we discuss methods of algorithmic approximation of such transformations.

Some natural sounds, such as speech parts can essentially be considered as noises. For instance, models suppose noisy parts of sounds as weak parts and apply basic approximations. But transformations such as time stretching doesn’t preserve the noisy characteristics of sounds. Moreover, we show that those transformations introduce artificial intensity variations. In this paper we propose a spec...

Several generic methods exist for achieving CCA-secure public-key encryption schemes from weakly secure cryptosystems, such as the FujisakiOkamoto and REACT transformations. In the context of Proxy ReEncryption (PRE), it would be desirable to count on analogous constructions that allow PRE schemes to achieve better security notions. In this paper, we study the adaptation of these transformation...

Database transformations provide a unifying umbrella for queries and updates. In general, they can be characterised by five postulates, which constitute the database analogue of Gurevich’s sequential ASM thesis. Among these postulates the background postulate supposedly captures the particularities of data models and schemata. For the characterisation of XML database transformations the natural...