在Thurston $K=2$猜想的反例上数值确认Brennan猜想
Confirming Brennan's conjecture numerically on a counterexample to Thurston's $K=2$ conjecture
AI总结:
本文通过数值方法验证,Epstein等人提出的Thurston $K=2$猜想反例并不构成Brennan猜想的反例,从而在数值上确认了Brennan猜想在该反例上的成立。
摘要:
Bishop曾证明,若Thurston的$K=2$猜想对某个平面域成立,则Brennan猜想对该域的Riemann映射也成立。本文数值上表明,Epstein、Marden和Marković给出的Thurston $K=2$猜想原始反例并非Brennan猜想的反例。
英文摘要:
It was shown by Bishop that if Thurston's $K = 2$ conjecture holds for some planar domain, then Brennan's conjecture holds for the Riemann map of that domain as well. In this paper we show numerically that the original counterexample to Thurston's $K=2$ conjecture given by Epstein, Marden and Marković is not a counterexample to Brennan's conjecture.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。