University of Cambridge > Talks.cam > probability > Liouville Brownian motion and thick points of the Gaussian free field

  Browse A-Z

Log in

University Account External (via Google)

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹī¸ Information

Liouville Brownian motion and thick points of the Gaussian free field

Download to your calendar using vCal

  • UserHenry Jackson, Cambridge
  • ClockTuesday 17 February 2015, 16:00-17:00
  • HouseMR12, CMS.

If you have a question about this talk, please contact John Shimmon .

This talk has been canceled/deleted

We find a lower bound for the Hausdorff dimension that a Liouville Brownian motion spends in alpha-thick points of the Gaussian Free Field, where Alpha is not necessarily equal to the parameter used in the construction of the geometry. This completes a conjecture by N. Berestycki, where the corresponding upper bound was shown. In the course of the proof, we obtain estimates on the (Euclidean) diffusivity exponent, which depends strongly on the nature of the starting point. For a Liouville typical point, it is 1/(1-gamma^2/2). In particular, for gamma > sqrt(2). the path is Lebesgue-almost everywhere differentiable, almost surely. This provides a detailed description of the multifractal nature of Liouville Brownian motion.

This talk is part of the probability series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

EPRG Energy and Environment Seminar Series Lent 2009 CUHWC Please get in touch at compbiomphil@maths.cam.ac.uk for joining information

Other talks

Title TBC Title to be confirmed Title to be confirmed LMB Seminar - Mechanisms of mRNA packaging and export Title to be confirmed Discovery Investigations: Science, Empire and the Making of the British South Atlantic
 

Š 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity