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arxiv: 0710.4175 · v1 · submitted 2007-10-23 · 🧮 math.CV · math.PR

Integral means spectrum of random conformal snowflakes

classification 🧮 math.CV math.PR
keywords spectrumconformalestimatesintegralmeansrandomsnowflakesuniversal
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In this paper we construct random conformal snowflakes with large integral means spectrum at different points. These new estimates are significant improvement over previously known lower bound of the universal spectrum. Our estimates are within 5-10 percent from the conjectured value of the universal spectrum.

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