131 citations · 330 across the 50 of their papers we have counts for
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Approximation of the number of descendants in branching processes
Anton A Kutsenko
We discuss approximations of the relative limit densities of descendants in Galton--Watson processes that follow from the Karlin--McGregor near-constancy phenomena. These approxima…
A note on "exotic integrals"
Anton A. Kutsenko
We consider Bernoulli measures on the interval . For the standard Lebesgue measure the digits and in the binary representation of real numbers appear with an e…
Exponential stochastic compression of one-dimensional space and 146 percent
Anton A Kutsenko
Exponential stochastic compression is the process when every second cell of an infinite chain may increase its weight merging randomly with left, right, or both neighboring cells.…
Dynamics of group formation
Anton A Kutsenko
We consider a specific dynamical system of groups formation. It is based simultaneously on a gradient competition between groups and a strong accumulation inside groups. Such a dyn…
Source waves in the uniform discrete plane with linear and point defects
Anton A. Kutsenko
A closed-form expression for the amplitudes of source waves in 2D discrete lattice with local and linear (waveguides) defects is derived. The numerical implementation of this analy…