Posted in

Speaker:

Igor Shparlinski
Affiliation:

University of New South Wales/MPIM
Date:

Tue, 2017-05-02 14:00 - 15:00
Location:

MPIM Lecture Hall
Parent event:

Seminar on Algebra, Geometry and Physics We outline some recent results and pose several open questions

about the algebraic properties of univariate and multivariate polynomial

iterations. These properties include the degree growth, irreducibility,

linear and multiplicative independence and similar.

In turn, these algebraic properties form a background for studying

the arithmetic properties of the elements in the orbits. These properties include

periodicity, distribution (which links them to pseudorandom

number generators), multiplicative indepence, etc.

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