Scaling dynamics of a cubic interval-exchange transformation

Solving optimal control problems with integral equations or integral equations - differential with the help of cubic B-spline scaling functions and wavelets

In this paper, a numerical method based on cubic B-spline scaling functions and wavelets for solving optimal control problems with the dynamical system of the integral equation or the differential-integral equation is discussed. The Operational matrices of derivative and integration of the product of two cubic B-spline wavelet vectors, collocation method and Gauss-Legendre integration rule for ...

Dynamics of Interval Exchange Transformations and Teichmüller Flows

Protocols for Kak's Cubic Cipher and Diffie-Hellman Based Asymmetric Oblivious Key Exchange

This paper presents protocol for Kak’s cubic transformation and proposes a modification to DiffieHellman key exchange protocol in order to achieve asymmetric oblivious exchange of keys. The cubic transformation may be used to develop a cryptosystem that is more efficient than Rabin’s cryptosystem. The oblivious key exchange has applications in mutual exchange of secrets and m -out-ofn oblivious...

Scaling analysis of a model Hamiltonian for Ce impurity in a cubic metal

We introduce various exchange interactions in a model Hamiltonian for Ce3+ ions in cubic symmetry with three configurations (f0,f1,f2). With the impurity pseudo spin SI = 1/2, our Hamiltonian includes: (i) One-channel Sc = 1/2 Anderson model; (ii) Two-channel Sc = 1/2 Anderson model; (iii) An unforseen one-channel Sc = 3/2 Anderson model with a non-trivial fixed point; (iv) Mixing exchange inte...

On embedding of the Bratteli diagram into a surface

We study C-algebras Oλ which arise in dynamics of the interval exchange transformations and measured foliations on compact surfaces. Using Koebe-Morse coding of geodesic lines, we establish a bijection between Bratteli diagrams of such algebras and measured foliations. This approach allows us to apply K-theory of operator algebras to prove strict ergodicity criterion and Keane’s conjecture for ...