57 citations · 173 across the 10 of their papers we have counts for
10 papers
Anosov C-systems and random number generators
George Savvidy
We are developing further our earlier suggestion to use hyperbolic Anosov C-systems for the Monte-Carlo simulations in high energy particle physics. The hyperbolic dynamical system…
The Spectrum of the Loop Transfer Matrix on Finite Lattice
G. Daskalakis, G. K. Savvidy
We consider the model of random surfaces with extrinsic curvature term embedded into 3d Euclidean lattice . On a 3d Euclidean lattice it has equivalent representation in terms…
Direct CP-asymmetry in Inclusive Rare B-decays in 2HDM
H. H. Asatryan, H. M. Asatrian, G. K. Yeghiyan +1
The direct CP-asymmetry in the inclusive and decays is investigated in the two-Higgs doublet extension of the Standard Model (2HDM). The investi…
Loop Transfer Matrix and Loop Quantum Mechanics
G. K. Savvidy
We extend the previous construction of loop transfer matrix to the case of nonzero self-intersection coupling constant . The loop generalization of Fourier transformation allows…
Four-dimensional gonihedric gauge spin system
J. Ambjørn, G. Koutsoumbas, G. K. Savvidy
We perform Monte Carlo simulations of a four-dimensional gauge invariant spin system which describes random surfaces with gonihedric action. We develop the analogy between the flat…
Loop transfer matrix and gonihedric loop diffusion
T. Jonsson, G. K. Savvidy
We study a class of statistical systems which simulate 3D gonihedric system on euclidean lattice. We have found the exact partition function of the 3D-model and the corresponding c…
Gonihedric String Equation II
G. K. Savvidy
Arguing that the equation for the gonihedric string should have a generalized Dirac form, we found a new equation which corresponds to a symmetric solution of the Majorana commutat…
Interaction Hierarchy
G. K. Savvidy, K. G. Savvidy
We analyse a new class of statistical systems, which simulate different systems of random surfaces on a lattice. Geometrical hierarchy of the energy functionals on which these theo…
Fast K System Generators of Pseudorandom Numbers
N. Z. Akopov, E. M. Madounts, A. B. Nersesian +2
We suggest fast algorithm for the matrix generator of pseudorandom numbers based on Kolmogorov-Anosov K systems which has been proposed earlier. This algorithm reduces oper…
Gonihedric String and Asymptotic Freedom
G. K. Savvidy, K. G. Savvidy
Few natural basic principles allow to extend Feynman integral over the paths to an integral over the surfaces so, that they coincide at long time scale, that is when the surface de…