4 citations · 6 across the 9 of their papers we have counts for
10 papers
A Pile of Shifts II: Structure and -Theory
Shelley Hebert, Slawomir Klimek, Matt McBride +1
We discuss -algebras associated with several different natural shifts on the Hilbert space of the -adic tree, continuing the analysis from [Banach J. Math. Anal. 19 (2025),…
A Higher Order Local Mesh Method for Approximating 1-Laplacians on Unknown Manifolds
John Wilson Peoples, John Harlim
We introduce a numerical method for approximating arbitrary differential operators on vector fields in the weak form given point cloud data sampled randomly from a dimensional…
Noncommutative Geometry of Hensel-Steinitz Algebras
Shelley Hebert, Slawomir Klimek, Matt McBride +1
We discuss various aspects of noncommutative geometry of smooth subalgebras of Hensel-Steinitz algebras. In particular we study the structure of derivations and -Theory of those…
Crossed Product C-algebras Associated With -adic Multiplication
Shelley Hebert, Slawomir Klimek, Matt McBride +1
We introduce and investigate some examples of C-algebras which are related to multiplication maps in the ring of -adic integers. We find ideals within these algebras and use…
Radial basis approximation of tensor fields on manifolds: From operator estimation to manifold learning
John Harlim, Shixiao Willing Jiang, John Wilson Peoples
In this paper, we study the Radial Basis Function (RBF) approximation to differential operators on smooth tensor fields defined on closed Riemannian submanifolds of Euclidean space…
A Note on Quantum Odometers
Slawomir Klimek, Matt McBride, John Wilson Peoples
We discuss various aspects of noncommutative geometry of smooth subalgebras of Bunce-Deddens-Toeplitz Algebras.
Noncommutative Geometry of the Quantum Disk
Slawomir Klimek, Matt McBride, J. Wilson Peoples
We discuss various aspects of noncommutative geometry of a smooth subalgebra of the Toeplitz algebra. In particular, we study the structure of derivations on this subalgebra.
Aspects of Noncommutative Geometry of Bunce-Deddens Algebras
Slawomir Klimek, Matt McBride, J. Wilson Peoples
We define and study smooth subalgebras of Bunce-Deddens C*-algebras. We discuss various aspects of noncommutative geometry of Bunce-Deddens algebras including derivations on smooth…
Spectral Convergence of Symmetrized Graph Laplacian on manifolds with boundary
J. Wilson Peoples, John Harlim
We study the spectral convergence of a symmetrized Graph Laplacian matrix induced by a Gaussian kernel evaluated on pairs of embedded data, sampled from a manifold with boundary, a…
A Note on Spectral Triples on the Quantum Disk
Slawomir Klimek, Matt McBride, John Wilson Peoples
By modifying the ideas from our previous paper [SIGMA 13 (2017), 075, 26 pages, arXiv:1705.04005], we construct spectral triples from implementations of covariant derivations on th…