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

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7 papers · 1 filter

math.DS2026

Dynamical relations on $P^{1}$ , higher bifurcations, and arithmetic bigness

Laura DeMarco, Niki Myrto Mavraki

In this article, we study algebraic relations among rational maps on $P^{1}$ and among their preperiodic points. Working over $C$ , we characterize algebraic familie…

math.DS2024

The geometry of preperiodic points in families of maps on $P^{N}$

Laura DeMarco, Niki Myrto Mavraki

We study the dynamics of algebraic families of maps on $P^{N}$ , over the field $C$ of complex numbers, and the geometry of their preperiodic points. The goal of thi…

math.DS2024

Bounded geometry for PCF-special subvarieties

Laura DeMarco, Niki Myrto Mavraki, Hexi Ye

For each integer $d \geq 2$ , let $M_{d}$ denote the moduli space of maps $f : P^{1} \to P^{1}$ of degree $d$ . We study the geometric configurations of subsets of postcriti…

math.DS2023★ 1 cited

Geometry of PCF parameters in spaces of quadratic polynomials

Laura DeMarco, Niki Myrto Mavraki

We study algebraic relations among postcritically finite (PCF) parameters in the family $f_{c} (z) = z^{2} + c$ . Ghioca, Krieger, Nguyen and Ye proved that an algebraic curve in $\mathb…

math.DS2022★ 1 cited

Dynamics on $P^{1}$ : preperiodic points and pairwise stability

Laura DeMarco, Niki Myrto Mavraki

In [DKY], it was conjectured that there is a uniform bound $B$ , depending only on the degree $d$ , so that any pair of holomorphic maps $f, g : P^{1} \to P^{1}$ with degr…

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…

math.DS2015★ 2 cited

Quasi-adelic measures and equidistribution on $P^{1}$

Niki Myrto Mavraki, Hexi Ye

Baker-Rumely and Favre-Rivera-Letelier independently proved an important arithmetic equidistribution theorem for points of small height on the Berkovich compactification of the pro…

Dynamical relations on P1, higher bifurcations, and arithmetic bigness

The geometry of preperiodic points in families of maps on PN

Bounded geometry for PCF-special subvarieties

Geometry of PCF parameters in spaces of quadratic polynomials

Dynamics on P1: preperiodic points and pairwise stability

Variation of Canonical Height for Fatou points on P1

Quasi-adelic measures and equidistribution on P1

Dynamical relations on $P^{1}$ , higher bifurcations, and arithmetic bigness

The geometry of preperiodic points in families of maps on $P^{N}$

Dynamics on $P^{1}$ : preperiodic points and pairwise stability

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

Quasi-adelic measures and equidistribution on $P^{1}$