57 citations · 173 across the 10 of their papers we have counts for
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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…
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…
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…
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…