Dr. Strangelove: Or How I Learned to Stop Worrying and Love the Citations

A Saracco - The Mathematical Intelligencer, 2022 - Springer
In ancient times, citations in research papers were meant to allow readers to know two
things: firstly, the cited paper was somehow relevant to the research done in the paper, and …

A mathematical characterization of anatomically consistent blood capillary networks

M Bertolini, P Causin, C Turrini - Journal of Mathematics in Industry, 2023 - Springer
Blood microcirculation is the site of control of tissue perfusion, blood-tissue exchange, and
tissue blood volume. Despite the many irregularities, almost ubiquitously, one can recognize …

The total intrinsic curvature of curves in Riemannian surfaces

D Mucci, A Saracco - Rendiconti del Circolo Matematico di Palermo Series …, 2021 - Springer
We deal with irregular curves contained in smooth, closed, and compact surfaces. For
curves with finite total intrinsic curvature, a weak notion of parallel transport of tangent vector …

Weak curvatures of irregular curves in high-dimensional Euclidean spaces

D Mucci, A Saracco - Annals of Global Analysis and Geometry, 2021 - Springer
We deal with a robust notion of weak normals for a wide class of irregular curves defined in
Euclidean spaces of high dimension. Concerning polygonal curves, the discrete normals are …

[PDF][PDF] On the curvatures of irregular curves in Euclidean spaces and Riemannian surfaces

D Mucci, A Saracco - PURE AND APPLIED FUNCTIONAL ANALYSIS, 2024 - cvgmt.sns.it
In this survey paper we report our recent results concerning a notion of curvatures for
irregular curves defined in Euclidean spaces or in Riemannian surfaces. Some of our ideas …

[PDF][PDF] Conical points of convex surfaces: generalized unit normal and angle defect

D Mucci, A Saracco - cvgmt.sns.it
Given a conical point of a convex surface, a robust notion of generalized unit normal is
introduced. Its relationship with the polar to the tangent cone implies the BV regularity of our …

[PDF][PDF] The total intrinsic curvature of curves in Riemannian surfaces & Erratum

D Mucci, A Saracco - arXiv preprint arXiv:1906.10567, 2019 - academia.edu
We deal with irregular curves contained in smooth, closed, and compact surfaces. For
curves with finite total intrinsic curvature, a weak notion of parallel transport of tangent vector …