# Selected Publications

G. Belitskii, V. Rayskin, A New Method of Extension of Local Maps of Banach Spaces. Applications and Examples Contemporary Mathematics, v.733, AMS (2019).
V. Rayskin, Users’ traffic on two-sided Internet platforms. Qualitative dynamics, American Institute of Physics Conference Proceedings, 2164, 120012 (2019).
G. Belitskii, V. Rayskin, New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples, to appear in Progress on Difference Equations and Discrete Dynamical Systems. Springer Proceedings in Mathematics & Statistics (2019).
V. Rayskin, Modeling the Dynamics of the Internet Platform Users’ Volume, SIMIODE “6-065-T-Internet Platform Users,” https://www.simiode.org/resources/5541 (2018)
V. Rayskin, Users’ dynamics on digital platforms, Mathematics and Computers in Simulation, 142, (2017).
V. Rayskin, Dynamics of Two-Sided Markets, Review of Marketing Science, vol. 14, issue 1 (2016).
V. Rayskin, Theorem of Sternberg-Chen modulo central manifold for Banach spaces, Ergodic Theory & Dynamical Systems, vol. 29 (2009), pp. 1965-1978.
V. Rayskin, Homoclinic tangencies in $\bf{R}^n$, Discrete and Continuous Dynamical Systems, vol. 12, no. 3 (2005), pp. 465-480.
M. Guysinsky, B. Hasselblatt, and V. Rayskin, Differentiability of the Hartman-Grobman Linearization, Discrete and Continuous Dynamical Systems, vol. 9, no. 4 (2003), pp. 979-984.
V. Rayskin, Multidimensional Singular $\lambda$-Lemma, Electron. J. Diff. Eqns., vol. 2003, no. 38 (2003), pp. 1-9.
V. Rayskin, $\alpha$-H\”{o}lder Linearization, Journal of Differential Equations, vol. 147 (1998), pp. 271-284.

COURSE READER: V. Rayskin, Introduction to programming with C++, UCLA Press, 2002.