Condenser capacity and hyperbolic diameter
Rainio Oona; Nasser Mohamed MS; Vuorinen Matti
Condenser capacity and hyperbolic diameter
Rainio Oona
Nasser Mohamed MS
Vuorinen Matti
Elsevier
Julkaisun pysyvä osoite on:
https://urn.fi/URN:NBN:fi-fe2022081154959
https://urn.fi/URN:NBN:fi-fe2022081154959
Tiivistelmä
Given a compact connected set E in the unit disk B2 , we give a new upper bound for the conformal capacity of the condenser (B2, E) in terms of the hyperbolic diameter t of E. Moreover, for t >0, we construct a set of hyperbolic diameter t and apply novel numerical methods to show that it has larger capacity than a hyperbolic disk with the same diameter. The set we construct is called a Reuleaux triangle in hyperbolic geometry and it has constant hyperbolic width equal to t.
Kokoelmat
- Rinnakkaistallenteet [19207]