Expanded tribute to Bernard Maskit in Notices of the AMS.
problem None specified in the abstract
method None specified in the abstract
result None specified in the abstract
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13 results for “tribute”
A tribute to Norbert A'Campo's life and mathematics.
problem None explicitly stated in the abstract.
method None explicitly stated in the abstract.
result No specific key result mentioned.
SIGMA issues a special birthday tribute to Fuchs.
problem N/A
method N/A
result N/A
This expository paper is a tribute to Ekkehart Kröner's results on the intrinsic non-Riemannian geometrical nature of a single crystal filled with point and/or line defects. A new perspective on this old theory is proposed, intended to contribute to the debate around the still open Kröner's question: "what are the dyna…
We prove the existence of a perimeter-minimizing partition of R^n into regions of unit volume. We conclude with a short tribute to the late Manuel A. Fortes.
Have you ever looked at a machine learning classification model and thought, I could have made that? Well, that is what we test in this project, comparing XGBoost trained on human engineered features to training directly on data. The human engineered features do not outperform XGBoost trained di- rectly on the data, bu…
The techniques used in this paper are based on the exterior calculus of Maurer-Cartan forms, and Weingarten surfaces are used to illustrate the methods that apply to quadratic exterior equations with constant coefficients. Isothermic {\it surfaces of constant astigmatism} (non-linear Weingarten surfaces whose differenc…
Paper analyzes Bartnik's quasi-local mass conjectures and their validity.
problem Understanding the validity of Bartnik's quasi-local mass conjectures.
method Developed a framework to analyze Bartnik's static vacuum extension conjecture.
result Proved the static vacuum extension conjecture is not true in general.
Survey of contact homology for contact manifolds.
problem Understanding contact manifolds through homology.
method Holomorphic curves invariants.
result Useful for students and young mathematicians.
Many networks are complex dynamical systems, where both attributes of nodes and topology of the network (link structure) can change with time. We propose a model of co-evolving networks where both node at- tributes and network structure evolve under mutual influence. Specifically, we consider a mixed membership stochas…
The paper discusses Nirenberg's work on geometric problems and his personality.
problem Geometric problems in mathematics.
method Method of moving planes and implicit fully nonlinear elliptic equations.
result Illustrates Nirenberg's contributions to geometric problems.
Bayesian method improves grid admittance matrix estimation from noisy data.
problem Accurate estimation of power grid admittance matrix in dynamic systems.
method Data-driven identification using voltage and current measurements, Bayesian approach.
result Significantly greater accuracy in admittance matrix estimation compared to existing methods.
This paper revisits Differential Galois Theory using Hopf algebras for Lie pseudogroups.
problem Understanding the structure of algebraic Lie pseudogroups using differential algebra and geometry.
method Mixing differential algebra, differential geometry, and algebraic geometry; using Hopf algebras.
result Reveals confusion between prime differential ideals and maximal ideals in Vessiot's work.