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- G.K.Savvidy, K.G.Savvidy
- 1995

We have found that the Regge gravity \cite{regge,sorkin}, can be represented as a $superposition$ of less complicated theory of random surfaces with $Euler~character$ as an action. This extends to… (More)

- G.K.Savvidy, K.G.Savvidy
- 1993

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 degenerates into a… (More)

- G.K.Savvidy, K.G.Savvidy
- 1993

We classify different theories of self-intersecting random surfaces assigning special weights to intersections. When self-intersection coupling constant $\kappa$ tends to zero, then the surface can… (More)

- G.K.Savvidy, K.G.Savvidy
- 1994

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 theories are based… (More)

We analyse statistical system with interface energy proportional to the length of the edges of interface. We have found the dual system high temperature expansion of which equally well generates… (More)