COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Distribution of gaussian multiplicative chaos on the unit interval

## Distribution of gaussian multiplicative chaos on the unit intervalAdd to your list(s) Download to your calendar using vCal - Tunan Zhu (ENS - Paris)
- Friday 20 July 2018, 14:10-14:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact INI IT. RGMW06 - RGM follow up Starting from a log-correlated field one can define by a standard regularization technique the associated Gaussian multiplicative chaos (GMC) measure with density formally given by the exponential of the log-correlated field. Very recently exact formulas have been obtained for specific GMC measures. On the Riemann sphere a proof of the celebrated DOZZ formula has been given by Kupiainen-Rhodes-Vargas and for the GMC on the unit circle the Fyodorov-Bouchaud formula has been recently proven by Remy. In this talk we will present additional results on GMC measures associated to a log-correlated field on the unit interval [0,1]. We will present a very general formula for the real moments of the total mass of GMC with log-singularities in 0 and 1. This proves a set of conjectures given by Fyodorov, Le Doussal, Rosso and Ostrovsky. As a corollary, this gives the distribution of the total mass. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 1, Newton Institute
- bld31
Note that ex-directory lists are not shown. |
## Other liststo be confirmed Entrepreneurship Centre at Cambridge Judge Business School## Other talksRobert Hamilton Lang and the decipherment of Cypro-Syllabic Leveraging Dispersion and Electrophilicity in Catalysts for Challenging Coupling Reactions Supporting Inclusion and Social Experiences through Technology Design Thick Points of Random Walk and the Gaussian Free Field Asynchronous Convergence of Policy-Rich Distributed Bellman-Ford Routing Protocols |