Jose A. Perea

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math.AT2026

Discrete Approximate Circle Bundles

Brad Turow, Jose A. Perea

In this paper, we introduce discrete approximate circle bundles, a class of objects designed to serve as the data science analog of circle bundles from algebraic topology. We show…

math.AT2026

Estimation of Persistence Diagrams via the Three Gap Theorem

Luis Suarez Salas, Jose A. Perea

The time delay (or Sliding Window) embedding is a technique from dynamical systems to reconstruct attractors from time series data. Recently, descriptors from Topological Data Anal…

math.AT2024

Approximate and discrete Euclidean vector bundles

Luis Scoccola, Jose A. Perea

We introduce $ε$ -approximate versions of the notion of Euclidean vector bundle for $ε \geq 0$ , which recover the classical notion of Euclidean vector bundle whe…