Browsing Mathematics by Title
Now showing items 706-725 of 1436
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Macroscopic properties of buyer-seller networks in online marketplaces.
(2022-09)Online marketplaces are the main engines of legal and illegal e-commerce, yet their empirical properties are poorly understood due to the absence of large-scale data. We analyze two comprehensive datasets containing 245M ... -
Magnitude meets persistence. Homology theories for filtered simplicial sets
(International Press, 2022-08-24)The Euler characteristic is an invariant of a topological space that in a precise sense captures its canonical notion of size, akin to the cardinality of a set. The Euler characteristic is closely related to the homology ... -
The Manin constant and the modular degree
The Manin constant $c$ of an elliptic curve $E$ over $\mathbb{Q}$ is the nonzero integer that scales the pullback of a N\'{e}ron differential under a minimal parametrization $\phi\colon X_0(N)_{\mathbb{Q}} \twoheadrightarrow ... -
Mapping sulphadoxine-pyrimethamine-resistant Plasmodium falciparum malaria in infected humans and in parasite populations in Africa
(Nature Publishing Group, 2017-08-07) -
Marginal deformations & rotating horizons
(2017-12-01)Motivated by the near-horizon geometry of four-dimensional extremal black holes, we study a disordered quantum mechanical system invariant under a global SU(2) symmetry. As in the Sachdev-Ye-Kitaev model, this system ... -
The mass of simple and higher-order networks
(IOP Publishing, 2023-12-05) -
Matrix entanglement
(Springer, 2023-01-03) -
Matrix Orbit Closures
Let $G$ be the group $\GL_r(\CC) \times (\CC^\times)^n$. We conjecture that the finely-graded Hilbert series of a $G$ orbit closure in the space of $r$-by-$n$ matrices is wholly determined by the associated matroid. In ...