Yuan Liu

activity

20172019

collaborators

3 papers

math.PR2019

The Poincaré inequality and quadratic transportation-variance inequalities

Yuan Liu

It is known that the Poincaré inequality is equivalent to the quadratic transportation-variance inequality (namely $W_{2}^{2} (f μ, μ) ⩽ C_{V} Var_{μ} (f)$ ), see Jourdain \cit…

math.NT2018

On the level of modular curves that give rise to isolated $j$ -invariants

Abbey Bourdon, Ozlem Ejder, Yuan Liu +2

We say a closed point $x$ on a curve $C$ is sporadic if $C$ has only finitely many closed points of degree at most $deg (x)$ and that $x$ is isolated if it is not in…

math.NT2017

The Realizability Problem with Inertia Conditions

Yuan Liu

In this paper, we consider the inverse Galois problem with described inertia behavior. For a finite group $G$ , one of its subgroups $I$ and a prime integer $p$ , we ask whether or n…

The Poincaré inequality and quadratic transportation-variance inequalities

On the level of modular curves that give rise to isolated j-invariants

The Realizability Problem with Inertia Conditions

On the level of modular curves that give rise to isolated $j$ -invariants