TY  -  
T1  - On geometry of Mandelbrot cascades and multiplicative chaos at criticality 
SN  -  /  
UR  - URN:ISBN:978-952-10-9909-0; http://hdl.handle.net/10138/44977 
T3  -  
A1  - Nikula, Miika 
A2  -  
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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SP  -  
OP  -  
KW  - matematiikka 
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