Liouville quantum gravity and quantum Loewner evolution

Images based on the work QLE.


Graph approximations to Liouville quantum gravity.



A random quadrangulation generated with the Hamburger-Cheeseburger bijection embedded into the plane using circle packing. Animation.



The Eden model on a Liouville quantum gravity surface. Animation 1. Animation 2.



The Eden model on a Liouville quantum gravity surface with gamma=sqrt(8/3) and different multiples of the log.



Diffusion limited aggregation on a Liouville quantum gravity surface.



Diffusion limited aggregation on a graph approximation to a Liouville quantum gravity surface with different log singularities at the origin.