activity
20032024
most citedA Sharp Condition for the Loewner Equation to Generate Slits

61 citations · 95 across the 8 of their papers we have counts for

collaborators

11 papers

math.CO2024

Minimizing the determinant of the graph Laplacian

Nathan Albin, Joan Lind, Anna Melikyan +1

In this paper, we study extremal values for the determinant of the weighted graph Laplacian under simple nondegeneracy conditions on the weights. We derive necessary and sufficient…

math.CV2021★ 2 cited

Phase Transition for a Family of Complex-driven Loewner Hulls

Joan Lind, Jeffrey Utley

Building on H. Tran's study of Loewner hulls generated by complex-valued driving functions, which showed the existence of a phase transition, we answer the question of whether the…

math.CV2021

Convergence of the Probabilistic Interpretation of Modulus

Nathan Albin, Joan Lind, Pietro Poggi-Corradini

Given a Jordan domain and two disjoint arcs on , the modulus of the curve family connecting and in is equal to the modulus of…

math.PR2021

The scaling limit of fair Peano paths

Nathan Albin, Joan Lind, Pietro Poggi-Corradini

We study random Peano paths on planar square grids that arise from fair random spanning trees. These are trees that are sampled in such a way as to have the same (if possible) edge…

math.CV2019

Tangential Loewner hulls

Joan Lind

Through the Loewner equation, real-valued driving functions generate sets called Loewner hulls. We analyze driving functions that approach 0 at least as fast as as $t \…

math.CV2018

Effect of Random Time Changes on Loewner Hulls

Kei Kobayashi, Joan Lind, Andrew Starnes

Loewner hulls are determined by their real-valued driving functions. We study the geometric effect on the Loewner hulls when the driving function is composed with a random time cha…