Mathematics - Research News

New tool can help predict the next financial bubble

 Mathematics - Research News
 22 March 2021
An international team of interdisciplinary researchers has identified mathematical metrics to characterize the fragility of financial markets. Their paper "Network geometry and market instability" sheds light on the higher-order architecture of financial systems and allows analysts to identify...

Cybersecurity pioneers win mathematics Abel Prize

 Mathematics - Research News
 17 March 2021
The Abel Prize, which honours achievements in mathematics, was awarded Wednesday to Hungarian Laszlo Lovasz and Israeli Avi Wigderson for their contributions to computer security, the Norwegian Academy of Science said....

$b$-vectors of chordal graphs

 Mathematics - Research News
 05 January 2021
Luis Pedro Montejano, Luis Núñez-Betancourt. Source: Journal of Commutative Algebra, Volume 12, Number 4, 539--557.Abstract: The [math] -vector [math] of a graph [math] is defined in terms of its clique vector [math] by the equation [math] where [math] is the largest cardinality of a clique in...

The sets of star and semistar operations on semilocal Prüfer domains

 Mathematics - Research News
 05 January 2021
Dario Spirito. Source: Journal of Commutative Algebra, Volume 12, Number 4, 581--602.Abstract: We study the sets of semistar and star operations on a semilocal Prüfer domain, with an emphasis on which properties of the domain are enough to determine them. In particular, we show that these sets...

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