4 papers · 1 filter
Growing Self-Similar Markov Trees
Nicolas Curien, William Fleurat, Adrianus Twigt
Can we obtain a Brownian CRT of mass from a CRT of mass by cutting certain branches? In this paper, we will answer that question in the much more general setting of self-…
Random punctured hyperbolic surfaces & the Brownian sphere
Timothy Budd, Nicolas Curien
We consider random genus-0 hyperbolic surfaces with punctures, sampled according to the Weil-Petersson measure. We show that, after rescaling the metric by…
Universality for catalytic equations and fully parked trees
Alice Contat, Nicolas Curien
We show that critical parking trees conditioned to be fully parked converge in the scaling limits towards the Brownian growth-fragmentation tree, a self-similar Markov tree differe…
The scaling limit of planar maps with large faces
Nicolas Curien, Grégory Miermont, Armand Riera
We prove that large Boltzmann stable planar maps of index converge in the scaling limit towards a random compact metric space that we construct explici…