1 citations · 1 across the 5 of their papers we have counts for
8 papers
Monotonicity formulas for harmonic functions on the infinite regular tree
Kathryn Atwood, Mariana Smit Vega Garcia, Richard Wang
We continue the program initiated in \cite{SVGS}. In this paper, we focus on the infinite regular tree, and prove the monotonicity of a weighted Dirichlet energy, a Weiss-type…
Metrics on Signed Permutations with the Same Peak Set
Kayla Andrus, Nathaniel Larsen, Alyssa MacLennan +3
Let be the Coxeter group of type B. We denote the set of indices where has a peak as and let . In \cite{met…
Fractional Parabolic Theory as a High-Dimensional Limit of Fractional Elliptic Theory
Blair Davey, Mariana Smit Vega Garcia
This paper continues the program that was initiated in \cite{Dav18} and continued in \cite{DSVG24}, where a high-dimensional limiting technique was developed and used to prove cert…
An Almgren monotonicity formula for discrete harmonic functions
Mariana Smit Vega Garcia, Stefan Steinerberger
The celebrated Almgren monotonicity formula for harmonic functions says that its energy concentrated on a sphere of radius , when m…
Mesas of Stirling permutations
Nicolle González, Pamela E. Harris, Gordon Rojas Kirby +2
Given a Stirling permutation w, we introduce the mesa set of w as the natural generalization of the pinnacle set of a permutation. Our main results characterize admissible mesa set…
Pinnacle sets of signed permutations
Nicolle González, Pamela E. Harris, Gordon Rojas Kirby +2
Pinnacle sets record the values of the local maxima for a given family of permutations. They were introduced by Davis-Nelson-Petersen-Tenner as a dual concept to that of peaks, pre…