M
Miika Nikula
Researcher at Harvard University
Publications - 8
Citations - 246
Miika Nikula is an academic researcher from Harvard University. The author has contributed to research in topics: Measure (mathematics) & Modulus of continuity. The author has an hindex of 8, co-authored 8 publications receiving 226 citations. Previous affiliations of Miika Nikula include University of Helsinki.
Papers
More filters
Journal ArticleDOI
The two-dimensional Coulomb plasma: quasi-free approximation and central limit theorem
TL;DR: For the two-dimensional one-component Coulomb plasma, this paper derived an asymptotic expansion of the free energy up to order of the number of particles of the Coulomb gas, with an effective error bound for some constant ε > 0, and proved that the fluctuations of the linear statistics are given by a Gaussian free field at any positive temperature.
Journal ArticleDOI
Basic properties of critical lognormal multiplicative chaos
TL;DR: In this article, the authors studied one-dimensional exact scaling lognormal multiplicative chaos measures at criticality and determined the exact asymptotics of the right tail of the distribution of the total mass of the measure.
Journal ArticleDOI
Critical Mandelbrot Cascades
TL;DR: In this paper, the authors study Mandelbrot's multiplicative cascade measures at the critical temperature and prove that these limit measures have no atoms and give bounds for the modulus of continuity of the cumulative distribution of the measure.
Journal ArticleDOI
Critical Mandelbrot Cascades
TL;DR: In this paper, the authors study Mandelbrot's multiplicative cascade measures at the critical temperature and prove that these limit measures have no atoms and give bounds for the modulus of continuity of the cumulative distribution function of the measure.
Journal ArticleDOI
Local density for two-dimensional one-component plasma
TL;DR: In this article, the Coulomb potential and the external potential are combined with random normal matrices, and the model is solved as a determinantal point process with a multiscale scheme of iterated mean-field bounds.