Uniqueness of critical Gaussian chaos

By J. Junnila, Eero Saksman. 2017

47 citations recorded by the source corpus.

We consider Gaussian multiplicative chaos measures defined in a general setting of metric measure spaces. Uniqueness results are obtained, verifying that different sequences of approximating Gaussian fields lead to the same chaos measure. Specialized to Euclidean spaces, our setup covers both the subcritical chaos and the critical chaos, actually extending to all non-atomic Gaussian chaos measures.

Subfields: Condensed Matter Physics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/017be0584d58b6be848f095a1f00eb63a7a3d552

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Condensed Matter Physics

1. Christian Webb
2. Eero Saksman

In Mathematical Physics

1. Christian Webb
2. Eero Saksman
3. Jasper A. Vrugt
4. Christophe Andrieu
5. Christian P. Robert
6. Jeffrey S. Rosenthal
7. K. Latuszy'nski
8. John A. Thoms

Citations in the corpus

• The Riemann zeta function and Gaussian multiplicative chaos: Statistics on the critical line (2016, background): “9, we recall a further result we need from [53].”