42 citations · 123 across the 6 of their papers we have counts for
7 papers
Multiplicative chaos and the characteristic polynomial of the CUE: the -phase
Miika Nikula, Eero Saksman, Christian Webb
In this note we prove that suitable positive powers of the absolute value of the characteristic polynomial of a Haar distributed random unitary matrix converge in law, as the size…
The two-dimensional Coulomb plasma: quasi-free approximation and central limit theorem
Roland Bauerschmidt, Paul Bourgade, Miika Nikula +1
For the two-dimensional one-component Coulomb plasma, we derive an asymptotic expansion of the free energy up to order , the number of particles of the gas, with an effective er…
Local density for two-dimensional one-component plasma
Roland Bauerschmidt, Paul Bourgade, Miika Nikula +1
We study the classical two-dimensional one-component plasma of positively charged point particles, interacting via the Coulomb potential and confined by an external potential.…
Small deviations in lognormal Mandelbrot cascades
Miika Nikula
We study small deviations in Mandelbrot cascades and some related models. Denoting by the total mass variable of a Mandelbrot cascade generated by , we show that if $\log \l…
Basic properties of critical lognormal multiplicative chaos
Julien Barral, Antti Kupiainen, Miika Nikula +2
We study one-dimensional exact scaling lognormal multiplicative chaos measures at criticality. Our main results are the determination of the exact asymptotics of the right tail of…
Frequent hypercyclicity of random entire functions for the differentiation operator
Miika Nikula
In this note we study the random entire functions defined as power series with independent and identically distributed coefficients $(…
Critical Mandelbrot Cascades
Julien Barral, Antti Kupiainen, Miika Nikula +2
We study Mandelbrot's multiplicative cascade measures at the critical temperature. As has been recently shown by Barral, Rhodes and Vargas (arXiv:1203.5445), an appropriately norma…