2 citations · 2 across the 4 of their papers we have counts for
4 papers
Dynamic System of Neurons on a Complete Graph: Synchronization
S. A. Pirogov, A. N. Rybko, D. D. Pervouchine +1
The net of N ``physical'' neurons is considered as a dynamical system. These neurons form a complete graph. The state of any neuron is its electric potential. The potential linearl…
Invariant measures of genetic recombination process
Arseniy V. Akopyan, Sergey A. Pirogov, Aleksandr N. Rybko
We construct the non-linear Markov process connected with biological model of bacterial genome recombination. The description of invariant measures of this process gives us the sol…
On products of skew rotations
M. D. Arnold, E. I. Dinaburg, G. B. Dobrushina +2
Let , be two time-independent Hamiltonians with one degree of freedom and , be the one-parametric groups of shifts along the orbits of H…
The Potts model built on sand
E. Dinaburg, C. Maes, S. Pirogov +2
We consider the q=4 Potts model on the square lattice with an additional hard-core nonlocal interaction. That interaction arises from the choice of the reference measure taken to b…