Given a prime p, we consider the dynamical system generated by repeated exponentiations modulo p, that is, by the map u 7→ fg(u), where fg(u) ≡ gu (mod p) and 0 6 fg(u) 6 p − 1. This map is in particular used in a number of constructions of cryptographically secure pseudorandom generators. We obtain nontrivial upper bounds on the number of fixed points and short cycles in the above dynamical sy...

The Wave Erection Marx Generator is proving to be an excellent high voltage source for the direct generation of RF energy. Unfortunately, effectively radiating the impulse energy is challenging, both in efficiency and high voltage-holdoff capability. Successful efforts have been made to generate RF energy in both the Narrow Band and Ultra Wideband realm, with field strengths in excess of 1 kV/m...

The quest for a cryptographically secure pseudorandom bit generator (PRBG) was initiated long ago [13] [14], and for a long time the proposed pseudorandom generators were very slow [?]. (INSERIRLO IN BIBLIOGRAFIA). More recently some ”provably secure” PRBG capable to achieve a throughput rate greater than 1Mbit/sec has been proposed in [1] [2]. We noticed, anyway, the absence of Java implementa...

In their paper, G.Gong and S.Q.Jiang construct a new pseudorandom sequence generator by using two ternary linear feedback shift registers (LFSR). The new generator is called an editing generator which a combined model of the clock-controlled generator and the shrinking generator. For a special case (Both the base sequence and the control sequence are mm-sequence of degree n), the period, linear...

A Bessel generator multiplier for a unitary system is a bounded linear operator that sends Bessel generator vectors to Bessel generator vectors. We characterize some special (but useful) Bessel generator multipliers for the unitary systems that are ordered products of two unitary groups. These include the wavelet and the Gabor unitary systems. We also provide a detailed exposition of some of th...

Conventional Flux Compression Generators (FCG's) are used to generate high power DC pulses. A new kind of (FCG's) with series capacitance called Capacitive Flux Compression Generator (CFCG) will be introduced and explained in this paper. This new kind is used to generate modulated high power pulses. There are some problems to establish a capacitance in high power and high frequency applications...

This paper describes a concise specification language for linear partial differential equations (PDEs) on a union of rectangles, along with three tools: a pretty-printer, TEX generator, and a code generator. The prettyprinter and TEX generator help users by allowing equations to be specified (and read) in their natural form, while the code generator allows implementors to separate their numeric...

We prove a new representation of the generator of a subordinate semigroup as limit of bounded operators. Our construction yields, in particular, a characterization of the domain of the generator. The generator of a subordinate semigroup can be viewed as a function of the generator of the original semigroup. For a large class these functions we show that operations at the level of functions has ...

In this paper a variable speed generating unit is considered, equipped with permanent magnet generator. The system analysis involves appropriate models for the generator, the static converter and the grid. Moreover, an asynchronous generator mounted on the same rotor with dump loads ensures braking actions and management of the active power produced. The modelling of the generator and power ele...