4 citations · 11 across the 12 of their papers we have counts for
12 papers
Homoclinic tangencies in
Victoria Rayskin
Let denote a diffeomorphism of a smooth manifold . Let in be its hyperbolic fixed point with stable and unstable manifolds and , respectively. As…
Nonchaotic Models and Predictability of the Users' Volume Dynamics on Internet Platforms
Victoria Rayskin
Internet platforms' traffic defines important characteristics of platforms, such as price of services, advertisements, speed of operations. The traffic is usually estimated with th…
Multivariate time series approximation by multiple trajectories of a dynamical system. Applications to Internet traffic and COVID-19 data
Victoria Rayskin
Utilization of multiple trajectories of a dynamical system model provides us with several benefits in approximation of time series. For short term predictions a high accuracy can b…
Dynamical systems' models for the prediction of multi-variable time series. Wikipedia's traffic example
Victoria Rayskin
The models VAR, ARIMA, Holt-Winters, are frequently used for short-term forecasts of multivariate time series. In this paper we consider models constructed with the help of dynamic…
Whitney's and Seeley's type of extensions for maps defined on some Banach spaces
Victoria Rayskin
Let , and be an arbitrary Banach space. Consider a collection of open segments . Suppose the map has bounded Fréchet deri…
New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples
Genrich Belitskii, Victoria Rayskin
The question of extension of locally defined maps to the entire space arises in many problems of analysis (e.g., local linearization of functional equations). A known classical met…
Users' traffic on two-sided Internet platforms. Qualitative dynamics
Victoria Rayskin
Internet platforms' traffic defines important characteristics of platforms, such as pricing of services, advertisements, speed of operations. One can estimate the traffic with the…
Extension of differentiable local mappings on linear topological spaces
Genrich Belitskii, Victoria Rayskin
Usually, for extension of local maps, one uses multiplication by so called bump functions. However, majority of infinite-dimensional linear topological spaces do not have smooth bu…
On a conjecture of the paper Differentiability of the Conjugacy in the Hartman-Grobman Theorem
Genrich Belitskii, Victoria Rayskin
In this note we show that for the construction of differentiable conjugation, the assumption of the existence of smooth bump function is not necessary, and consequently the corresp…
A connection between tests for absolute convergence of infinite series, or how to be fair
Victoria Rayskin
The Ratio Test and the Root Test for absolute convergence/divergence of series of numbers are frequently discussed and proved independently in Calculus cou…
A New Method of Extension of Local Maps of Banach Spaces. Applications and Examples
Genrich Belitskii, Victoria Rayskin
A known classical method of extension of smooth local maps of Banach spaces uses smooth bump functions. However, such functions are absent in the majority of infinite-dimensional B…
Extension of local smooth maps of Banach spaces
Genrich Belitskii, Victoria Rayskin
It is known that smooth bump functions are absent in the majority of infinite-dimensional Banach spaces. This is an obstacle in the development of local analysis, in particular in…