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math.DS2025
Inheritance of shadowing for dynamical semigroups
Michael Blank
We extend the single-perturbation approach (developed in our earlier publications for the case of a single map) to the analysis of the shadowing property for semigroups of endomorp…
math.DS2024
Elementary solution to the fair division problem
Michael Blank, Maxim Polyakov
A new and relatively elementary approach is proposed for solving the problem of fair division of a continuous resource (measurable space, pie, etc.) between several participants, t…
math.DS2024
Are prime numbers and quadratic residues random?
Michael Blank
Appeals to randomness in various number-theoretic constructions appear regularly in modern scientific publications. Such famous names as V.I. Arnold, M. Katz, Ya.G. Sinai, and T. T…