1 citations · 1 across the 7 of their papers we have counts for
12 papers
Curriculum-Based Deep Reinforcement Learning for Robust Autonomous Rocket Landing under Atmospheric Uncertainty
Atin Chowdhury, Piyush Joshi
Autonomous far-range rocket landing is a challenging control problem because navigation, descent-rate regulation, attitude management, and fuel use must be coordinated in the prese…
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…
On a Bernoulli-type overdetermined free boundary problem
Murat Akman, Agnid Banerjee, Mariana Smit Vega Garcia
In this article we study a Bernoulli-type free boundary problem and generalize a work of Henrot and Shahgholian in \cite{HS1} to -harmonic PDEs. These are quasi-linear…
The fractional unstable obstacle problem
Mark Allen, Mariana Smit Vega Garcia
We study a model for combustion on a boundary. Specifically, we study certain generalized solutions of the equation \[ (-Δ)^s u = χ_{\{u>c\}} \] for and an arbitrary consta…
Singularities in axisymmetric free boundaries for ElectroHydroDynamic equations
Mariana Smit Vega Garcia, Eugen Varvaruca, Georg S. Weiss
We consider singularities in the ElectroHydroDynamic equations. In a regime where we are allowed to neglect surface tension, and assuming that the free surface is given by an injec…
Regularity of the free boundary for the obstacle problem for the fractional Laplacian with drift
Nicola Garofalo, Arshak Petrosyan, Camelia A. Pop +1
We establish the -Hölder regularity of the regular free boundary in the stationary obstacle problem defined by the fractional Laplace operator with drift in the subcritica…
An epiperimetric inequality approach to the regularity of the free boundary in the Signorini problem with variable coefficients
Nicola Garofalo, Arshak Petrosyan, Mariana Smit Vega Garcia
In this paper we establish the regularity of the regular part of the free boundary in the Signorini problem for elliptic operators with variable Lipschitz coefficients. T…