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    Article

    Kinetic Monte Carlo Method: Mathematical Foundations and Applications for Physics of Low-Dimensional Nanostructures

    The kinetic Monte Carlo (kMC) method is an indispensable method for studying atomic and molecular systems, which makes it possible to solve a wide range of problems associated with atomic diffusion, the format...

    S. V. Kolesnikov, A. M. Saletsky… in Mathematical Models and Computer Simulatio… (2018)

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    Article

    Boundary behavior of derivatives of conformal map**s of simply connected domains

    Conformal map**s of simply connected domains G on a disc or a half-plane are considered in the case when boundaries consist of smooth boundary arcs Γ reachable from inside of G. Sufficient conditions for existe...

    E. P. Dolzhenko, S. V. Kolesnikov in Moscow University Mathematics Bulletin (2014)

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    Article

    The behavior of conformal maps of domains near convex boundary arcs

    The behavior of the derivatives of conformal maps of the unit disk onto simply connected domains in the complex plane whose boundaries contain convex or concave attainable arcs, as well as the behavior of the ...

    E. P. Dolzhenko, S. V. Kolesnikov in Mathematical Notes (2011)

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    Remarks on the descriptive metric characterization of singular sets of analytic functions

    This work presents two remarks on the structure of singular boundary sets of functions analytic in the unit diskD: ¦z¦<1. The first remark concerns the conversion of the Plessner theorem. We prove that three pair...

    S. V. Kolesnikov in Mathematical Notes (1996)

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    Article

    Singular boundary points of analytic functions

    S. V. Kolesnikov in Mathematical notes of the Academy of Sciences of the USSR (1980)

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    Article

    Characteristics of sets of discontinuities of functions with linearly continuous partial derivatives

    S. V. Kolesnikov in Mathematical notes of the Academy of Sciences of the USSR (1979)