Showing math.DSShow all
3 papers · 1 filter
math.DS2025
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…
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…