A. Rasila

activity

20072026

most citedOn moduli of rings and quadrilaterals: algorithms and experiments

38 citations · 224 across the 67 of their papers we have counts for

collaborators

72 papers

math.NA2026

Walk-on-Cubes Monte Carlo Simulation for nonisotropic fractional Laplace, Helmholtz, and Yukawa equations

Antti Rasila, Tommi Sottinen, Yaotong Yuan

We study the nonisotropic fractional analogs of Laplace, Helmholtz and Yukawa equations. We provide a Duffin correspondence for the Yukawa equation and a Feynman--Kac reconstructio…

math.CV2026

Isoperimetric-type inequalities for pluriharmonic functions on the polydisc

Suman Das, Antti Rasila, Jian-Feng Zhu

We prove isoperimetric-type inequalities for complex-valued pluriharmonic functions in the unit polydisc $U^{n} \subset C^{n}$ . Denote by $h^{p} (U^{n})$ and $b^p_{…

math.MG2025

Shortest paths in planar domains with hyperbolic type metrics

Shuliang Gao, Anni Hakanen, Antti Rasila +1

We study planar domains $G$ equipped with a hyperbolic type metric and approximate geodesics that join two points $x, y \in G$ and their lengths. We present an algorithm that enable…

math.MG2025

On the average scale-invariant Cassinian metric

Manas Mohapatra, Antti Rasila, Matti Vuorinen

We establish geometric relationships between the average scale-invariant Cassinian metric and other hyperbolic type metrics. In addition, we study the local convexity properties of…

math.CV2025

On harmonic quasiregular mappings in Bergman spaces

Suman Das, Antti Rasila

A classical result of Hardy and Littlewood says that if $f = u + i v$ is analytic in the unit disk $D$ and $u$ is in the harmonic Bergman space $a^{p}$ ( $0 < p < \infty$ ), then $v$ i…

math.CV2025★ 3 cited

Note on real and imaginary parts of harmonic quasiregular mappings

Suman Das, Antti Rasila

If $f = u + i v$ is analytic in the unit disk $D$ , it is known that the integral means $M_{p} (r, u)$ and $M_{p} (r, v)$ have the same order of growth. This is false if $f$ is a (compl…