Category: Mathematics
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Radial perturbations yield spherical-harmonic eigenstructure
This research indicates that, for rotationally symmetric conductivity perturbations in a unit ball, the linearized electrical impedance tomography operator has spherical harmonics as eigenfunctions and explicit eigenvalues.
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Extremal signed complete graphs with a K2,2-minor-free negative subgraph
This research indicates that the extremal signed complete graphs with a K2,2-minor-free negative-edge-induced subgraph can be characterized for the maximum and second maximum index.
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Fourier bounds for Kakeya sets in finite fields
This research indicates that Kakeya sets in finite fields support a probability measure whose Fourier transform is bounded at all non-zero frequencies, and that the bound is sharp in dimensions of two and higher.
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Multifold quantum degeneracies can produce bounded numbers of Weyl points
This research indicates that a multifold degeneracy point in a parameter-dependent quantum system can split into Weyl points, and the authors provide an upper bound on how many can form.
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Unbounded domains can admit spectral minimal partitions
This research indicates that spectral minimal partitions can exist in unbounded domains, including domains of infinite volume, but their existence and properties depend on the energy level and on the value of p.
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Repetition threshold limit for rich palindrome sequences tends to 2
This research indicates that the repetition threshold for d-ary sequences rich in palindromes tends to 2 as d grows.
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Survey reviews mathematical modeling in infectious disease dynamics
This research indicates that mathematical modeling, including deterministic and stochastic frameworks, computational methods, and AI, is used to understand, predict, and support control of infectious disease spread.
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Parieto-frontal communication supports accurate numerical judgments in macaques
This research indicates that coordinated communication between ventral intraparietal area and prefrontal cortex is critical for accurate quantity judgments in macaques.
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Interest-based introductory videos improved data science test scores
This research indicates that tailoring introductory data science materials to students’ interests can improve test scores and help them build data analysis skills.
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Digital behavioral data can support causal inference with proper design
This research indicates that digital behavioral data can be used for causal analysis when design limitations are addressed with theoretical, temporal, and causal-model considerations.
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