S. Nasyrov

activity

20232026

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math.CV2026

Distortion of the triangular ratio metric under Moebius transformations

S. Nasyrov

Let $U$ be the unit disk in the complex plane. Denote by $s_{U} (x, y)$ the triangular ratio metric in $U$ ; the value of $s_{U} (x, y)$ equals the ratio…

math.CV2026

Comparison of hyperbolic metric and triangular ratio metric in a square

A. Kushaeva, S. Nasyrov

Let $K$ be a square in the plane and $ρ_{K} (x, y)$ be the hyperbolic distance between $x$ , $y \in K$ . Denote by $s_{K} (x, y)$ the triangular ratio metric in $K$ ; for $x \neq = y$ the value o…