44 citations · 166 across the 16 of their papers we have counts for
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A Family of Probability Distributions Consistent with the DOZZ Formula: Towards a Conjecture for the Law of 2D GMC
Dmitry Ostrovsky
A three parameter family of probability distributions is constructed such that its Mellin transform is defined over the same domain as the 2D GMC on the Riemann sphere with three i…
A Review of Conjectured Laws of Total Mass of Bacry-Muzy GMC Measures on the Interval and Circle and Their Applications
Dmitry Ostrovsky
Selberg and Morris integral probability distributions are long conjectured to be distributions of the total mass of the Bacry-Muzy Gaussian Multiplicative Chaos measures with non-r…
A Theory of Intermittency Differentiation of 1D Infinitely Divisible Multiplicative Chaos Measures
Dmitry Ostrovsky
A theory of intermittency differentiation is developed for a general class of 1D Infinitely Divisible Multiplicative Chaos measures. The intermittency invariance of the underlying…
Subcritical multiplicative chaos for regularized counting statistics from random matrix theory
Gaultier Lambert, Dmitry Ostrovsky, Nick Simm
For an random unitary matrix , we consider the random field defined by counting the number of eigenvalues of in a mesoscopic arc of the unit circle, regular…
A Note on Moments of Limit Log Infinitely Divisible Stochastic Measures of Bacry and Muzy
Dmitry Ostrovsky
A multiple integral representation of single and joint moments of the total mass of the limit log-infinitely divisible stochastic measure of Bacry and Muzy [$\textit{Comm. Math. Ph…
A Theory of Intermittency Renormalization of Gaussian Multiplicative Chaos Measures
Dmitry Ostrovsky
A theory of intermittency differentiation is developed for a general class of Gaussian Multiplicative Chaos measures including the measure of Bacry and Muzy on the interval and cir…