R. Paulin

most citedOn some conjectures of Samuels and Feige

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.PR2017★ 1 cited

On some conjectures of Samuels and Feige

Roland Paulin

Let $μ_{1} \geq \dots \geq μ_{n} > 0$ and $μ_{1} + \dots + μ_{n} = 1$ . Let $X_{1}, \dots, X_{n}$ be independent non-negative random variables with $E X_{1} = \dots = E X_{n} = 1$ , and let $Z = \su…

math.NT2016

Largest values of the Stern sequence, alternating binary expansions and continuants

Roland Paulin

We study the largest values of the $r$ th row of Stern's diatomic array. In particular, we prove some conjectures of Lansing. Our main tool is the connection between the Stern seque…

math.NT2016

On the minimal degree of morphisms between algebraic curves

Roland Paulin

Given smooth, projective, geometrically integral algebraic curves $X$ and $Y$ defined over a number field $K$ , assuming that there is a non-constant $K$ -morphism $φ : X \to Y$ ,…