Pascal J. Thomas

activity

20242026

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3 papers · 1 filter

math.DG2025

How regular is the evolute of a plane curve?

Pascal J. Thomas, Nikolai Nikolov

We study the relationship between the smoothness of a plane curve and that of its evolute, especially in the cases where the parent curve is no more two or three times continuously…

math.CV2025

Removable sets for pseudoconvexity for weakly smooth boundaries

Quang Dieu Nguyen, Pascal J. Thomas

We show that for bounded domains in $C^{n}$ with $C^{1, 1}$ smooth boundary, if there is a closed set $F$ of $2 n - 1$ -Lebesgue measure $0$ such that $\partial Ω\setminu…

math.CV2025

Quasi Triangle Inequality for the Lempert function

Nikolai Nikolov, Pascal J. Thomas

The (unbounded version of the) Lempert function $l_{D}$ on a domain $D \subset C^{d}$ does not usually satisfy the triangle inequality, but on bounded $C^{2}$ -smooth strictly…