Shapes of free resolutions over a local ring

We classify the possible shapes of minimal free resolutions over a regular local ring. This illustrates the existence of free resolutions whose Betti numbers behave in surprisingly pathological ways. We also give an asymptotic characterization of the possible shapes of minimal free resolutions over hypersurface rings. Our key new technique uses asymptotic arguments to study formal Q-Betti sequences.Comment: 14 pages, 1 figure; v2: sections have been reorganized substantially and exposition has been streamline

Advantages of a multi-state approach in surgical research: how intermediate events and risk factor profile affect the prognosis of a patient with locally advanced rectal cancer

Development and application of statistical models for medical scientific researc

Influencers on the Russian Twitter: Institutions vs. people in the discussion on migrants

With the emergence of discussion platforms like Twitter, the hopes rose that computer-mediated public sphere would become more even in access to discussion than mass-mediatized public sphere of the late 20th century. Scholars have argued that it will eventually form an ‘opinion crossroads’ where conflicts would be discussed by all the parties involved. But today, existing research provides mixed evidence on whether ordinary users, rather than mainstream media and institutional actors, can become influencers in discussions on current issues, e.g. relations between host and migrant communities. We focus on the Twitter discussion about an inter-ethnic conflict in Moscow’s Biryuliovo district in 2013 and aim at defining who were its real influencers by reconstructing the discussion’s web graph, as well as analyzing and juxtaposing its metrics to figures indicating user activity. Our results show that, despite hyperactivity of media accounts, they were largely absent as deliberative influencers, but the place of influencers was occupied by politicized (nationalist and liberal) accounts, rather by eyewitness reporters or public figures.This research has been supported in full by Russian Science Foundation (research grant 16-18-10125)