N. Mavraki

activity

20132026

most citedImpossible intersections in a Weierstrass family of elliptic curves

3 citations · 11 across the 14 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.NT2021

Arithmetic dynamics of random polynomials

Pierre Le Boudec, Niki Myrto Mavraki

We investigate from a statistical perspective the arithmetic properties of the dynamics of polynomials of fixed degree and defined over the field of rational numbers. To start with…

math.NT2021

A dynamical Shafarevich theorem for endomorphisms of $P^{N}$

Jamie Juul, Holly Krieger, Nicole Looper +1

We prove a dynamical analogue of the Shafarevich conjecture for morphisms $f : P_{K}^{N} \to P_{K}^{N}$ of degree $d \geq 2$ , defined over a number field $K$ . This extends previ…

math.DS2021

Variation of Canonical Height for Fatou points on $P^{1}$

Laura DeMarco, Niki Myrto Mavraki

Let $f : P^{1} \to P^{1}$ be a map of degree $> 1$ defined over a function field $k = K (X)$ , where $K$ is a number field and $X$ is a projective curve over $K$ . For each…

Arithmetic dynamics of random polynomials

A dynamical Shafarevich theorem for endomorphisms of PN

Variation of Canonical Height for Fatou points on P1

A dynamical Shafarevich theorem for endomorphisms of $P^{N}$

Variation of Canonical Height for Fatou points on $P^{1}$