We present two universally composable and practical protocols by which a dealer can, verifiably and non-interactively, secret-share an integer among a set of players. Moreover, at small extra cost and using a distributed verifier proof, it can be shown in zero-knowledge that three shared integers a, b, c satisfy ab = c. This implies by known reductions non-interactive zero-knowledge proofs that...

A spherical quadrilateral is a bordered surface homeomorphic to a closed disk, with four distinguished boundary points called corners, equipped with a Riemannian metric of constant curvature 1, except at the corners, and such that the boundary arcs between the corners are geodesic. We discuss the problem of classification of these quadrilaterals and perform the classification up to isometry in ...

We propose an Ansatz for universal conductance fluctuations in continuous dimensions from 0 up to 4. The Ansatz agrees with known formulas for integer dimensions 1, 2 and 3, both for hard wall and periodic boundary conditions. The method is based solely on the knowledge of energy spectrum and standard assumptions. We also study numerically the conductance fluctuations in 4D Anderson model, depe...

A variety of hybrids of Constraint Programming, Artificial Intelligence and Operations Research techniques have given impressive results. Three recent approaches are (i) the use of relaxations in constraint systems, (ii) non-systematic backtracking to boost the scalability of constraint solvers, and (iii) non-systematic backtracking to boost the scalability of branch-and-bound search. This pape...

Viscoelastic materials are widely used as devices for vibration control in modern engineering applications. They exhibit both viscous and elastic characteristic when undergoing deformation. mainly characterized by three time-dependent mechanical properties such creep, stress relaxation hysteresis. Among them, is one of the most important features characterization viscoelastic materials. This ph...

Refinable functions and distributions with integer dilations have been studied extensively since the pioneer work of Daubechies on wavelets. However, very little is known about refinable functions and distributions with non-integer dilations, particularly concerning its regularity. In this paper we study the decay of the Fourier transform of refinable functions and distributions. We prove that ...

1 As urban traffic congestion is on the increase worldwide, it is critical to maximize capacity and 2 throughput of existing road infrastructure through optimized traffic signal control. To this end, we 3 build on the body of work in mixed integer linear programming (MILP) approaches that attempt to 4 jointly optimize traffic signal control over an entire traffic network and specifically on imp...

We show that the random matrix theory with non-integer " symmetry parameter " β describes the statistics of transport parameters of strongly disordered two dimensional systems. The application of the random matrix theory (RMT) [1] to electronic transport in weakly disordered systems [2] enables us to understand the main features of the transport. The small number of parameters which enters RMT ...

In this survey we address three of the principal algebraic approaches to integer programming. After introducing lattices and basis reduction, we 0rst survey their use in integer programming, presenting among others Lenstra’s algorithm that is polynomial in 0xed dimension, and the solution of diophanine equations using basis reduction. The second topic concerns augmentation algorithms and test s...

let $g$ be a finite group‎. ‎we denote by $psi(g)$ the integer $sum_{gin g}o(g)$‎, ‎where $o(g)$ denotes the order of $g in g$‎. ‎here we show that‎ ‎$psi(a_5)< psi(g)$ for every non-simple group $g$ of order $60$‎, ‎where $a_5$ is the alternating group of degree $5$‎. ‎also we prove that $psi(psl(2,7))