18 citations · 80 across the 15 of their papers we have counts for
5 papers · 1 filter
Smoothness of martingale observables and generalized Feynman-Kac formulas
Alex Karrila, Lauri Viitasaari
We prove that, under the Hörmander criterion on an Itô process, all its martingale observables are smooth. As a consequence, we also obtain a generalized Feynman-Kac formula provid…
Logarithmic delocalization of random Lipschitz functions on honeycomb and other lattices
Alex M. Karrila
We study random one-Lipschitz integer functions on the vertices of a finite connected graph, sampled according to the weight $W(f) = \prod_{\langle v, w \rangle \in E} \mathbf{…
A new computation of pairing probabilities in several multiple-curve models
Alex Karrila
We give a new, short computation of pairing probabilities for multiple chordal interfaces in the critical Ising model, the harmonic explorer, and for multiple level lines of the Ga…
Delocalization of the height function of the six-vertex model
Hugo Duminil-Copin, Alex Karrila, Ioan Manolescu +1
We show that the height function of the six-vertex model, in the parameter range and , is delocalized with logarithmic variance when $\mathbf…
UST branches, martingales, and multiple SLE(2)
Alex Karrila
We identify the local scaling limit of multiple boundary-to-boundary branches in a uniform spanning tree (UST) as a local multiple SLE(2), i.e., an SLE(2) process weighted by a sui…