Abstract We demonstrate how to make the coordinate transformation or change of variables from Cartesian coordinates curvilinear by making use a convolution function with Dirac delta functions whose arguments are determined between two systems. By integrating out an original function, we replace new in systematic way. A recursive allows successively. After replacing every into coordinate, find t...

The period doubling Cantor sets of strongly dissipative Hénon-like maps with different average Jacobian are not smoothly conjugated. The Jacobian Rigidity Conjecture says that the period doubling Cantor sets of two-dimensional Hénon-like maps with the same average Jacobian are smoothly conjugated. This conjecture is true for average Jacobian zero, e.g. the onedimensional case. The other extreme...

Monte Carlo simulations away from half filling suffer a sign problem that can be reduced by deforming the contour of integration. Such transformation, which induces Jacobian determinant in Boltzmann weight, implemented using neural networks. This additional cost for generic network scales cubically with volume, preventing large-scale simulations. We implement an architecture, based on complex-v...

a watermarking scheme for Grayscale image isproposed based on a family of the chaotic maps and discretecosine transform. Jacobian Elliptic mapis employed to encrypt ofwatermarked logo. Piecewise nonlinear chaotic map is also usedto determine the location of DCT coefficients for the watermarkembedding. The purpose of this algorithm is to improve theshortcoming of watermarking such as small key s...

The subject of this paper is a Jacobian, introduced by F. Lazzeri (unpublished), associated to every compact oriented riemannian manifold whose dimension is twice an odd number. We start the investigation of Torelli type problems and Schottky type problems for Lazzeri’s Jacobian; in particular we examine the case of tori with flat metrics. Besides we study Lazzeri’s Jacobian for Kähler manifold...