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T1 - On geometry of Mandelbrot cascades and multiplicative chaos at criticality
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UR - URN:ISBN:978-952-10-9909-0; http://hdl.handle.net/10138/44977
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A1 - Nikula, Miika
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PB - Helsingin yliopisto
Y1 - 2014
LA - en
AB - Mandelbrot cascades and multiplicative chaos are two related natural constructions of random multifractal measures, or rather families of such measures indexed by a single real parameter. While these models were first defined decades ago, they have recently become topical again after they were applied in the field of planar random geometry. In that context, multiplicative chaos provides one rigorous way of defining the exponential of the Gaussian free field.
Typically, for a Mandelbrot cascade...
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KW - matematiikka
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