31 citations · 137 across the 39 of their papers we have counts for
39 papers
Analytical and numerical studies of creation probabilities of hierarchical trees
A. I. Olemskoi, S. S. Borysov, I. A. Shuda
We consider the creation conditions of diverse hierarchical trees both analytically and numerically. A connection between the probabilities to create hierarchical levels and the pr…
Statistical field theories deformed within different calculi
A. I. Olemskoi, S. S. Borysov, I. A. Shuda
Within framework of basic-deformed and finite-difference calculi, as well as deformation procedures proposed by Tsallis, Abe, and Kaniadakis to be generalized by Naudts, we develop…
Suppression of oscillations by Levy noise
A. I. Olemskoi, S. S. Borysov, I. A. Shuda
We find analytical solution of pair of stochastic equations with arbitrary forces and multiplicative Lévy noises in a steady-state nonequilibrium case. This solution shows that Lév…
Statistical theory of self-similarly distributed fields
Alexander Olemskoi, Irina Shuda
A field theory is built for self-similar statistical systems with both generating functional being the Mellin transform of the Tsallis exponential and generator of the scale transf…
Supersymmetry representation of Bose-Einstein condensation of fermion pairs
Alexander Olemskoi, Irina Shuda
We consider supersymmetry field theory with supercomponents being the square root of the Bose condensate density, the amplitude of its fluctuations and Grassmannian fields related…
Multifractal theory within quantum calculus
Alexander Olemskoi, Irina Shuda
Within framework of the quantum calculus, we represent the partition function and the mass exponent of a multifractal, as well as the average of random variables distributed over s…