A new method for finding closed-form time-domain solutions of linear time-invariant (LTI) systems with arbitrary periodic input signals is presented. These solutions, unlike those obtained based on the conventional Fourier-phasor method, have a finite number terms in one period. To implement proposed following steps are carried out: (1) For given system, represented by transfer function, an imp...

In this paper, a new Monte Carlo interpolation algorithm for sparse multivariate polynomials is given based on the idea of randomized Kronecker substitution. The main contribution is a new method to reduce multivariate polynomial interpolation to that of univariate polynomials, which leads to better computational complexities. For an n-variate black-box polynomial f with a degree bound D and a ...

The standard map is a paradigmatic one-parameter (noted a) twodimensional conservative map which displays both chaotic and regular regions. This map becomes integrable for a = 0. For a 6= 0 it can be numerically shown that the usual, Boltzmann-Gibbs entropy S1(t) = − ∑ i pi(t) ln pi(t) exhibits a linear time evolution whose slope hopefully converges, for very fine graining, to the Kolmogorov-Si...

The problem of pairing in anisotropic electron systems possessing patches of fermion condensate in the vicinity of the van Hove points is analyzed. Attention is directed to opportunities for the occurrence of non-BCS pairing correlations between the states belonging to the fermion condensate. It is shown that the physical emergence of such pairing correlations would drastically alter the behavi...

We consider models given by Hamiltonians of the form H(I, φ, p, q, t; ε) = h(I)+ n ∑ j=1 ± ( 1 2 pj + Vj(qj) ) +εQ(I, φ, p, q, t; ε) where I ∈ I ⊂ R, φ ∈ T, p, q ∈ R, t ∈ T. These are higher dimensional analogues, both in the center and hyperbolic directions, of the models studied in [DLS03, DLS06a, GL06a, GL06b]. All these models present the large gap problem. We show that, for 0 < ε 1, under ...

One of the major problems in commutative algebra is to recover information about a commutative ring A from known properties of the form ring G := GA(q) = ⊕n≥0q /q with respect to some ideal q of A. There are Krull’s classical results saying that A is an integral domain resp. a normal domain if G is an integral domain resp. a normal domain. It follows from the work [1], [2], [8] that several oth...