Category Archives: Applied Mathematics

PDE Coffee Table Book

I stumbled upon The (Unfinished) PDE Coffee Table Book, which can be quite useful for future courses on PDE. Here is the link. Advertisements

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Another paper

Our already long list of papers devoted to the analysis of a replicator equation became longer with a new paper by Alexander Bratus, Volodya Posvyanskii and myself, “Solutions with a bounded support promote permanence of a distributed replicator equation,” which … Continue reading

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History of solving PDE

A nice review with a lot of interesting details: Partial Differential Equations in the 20th Century by Brezis and Browder

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Ban p-values!

This is perhaps the first real crack in the wall for the almost-universal use of the null hypothesis significance testing procedure (NHSTP). The journal, Basic and Applied Social Psychology (BASP), has banned the use of NHSTP and related statistical procedures … Continue reading

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A review about progress in dynamical systems

NINETY PLUS THIRTY YEARS OF NONLINEAR DYNAMICS: LESS IS MORE AND MORE IS DIFFERENT I review the early (1885–1975) and more recent history of dynamical systems theory, identifying key principles and themes, including those of dimension reduction, normal form transformation and unfolding of degenerate … Continue reading

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Dusk of Facebook?

Epidemiological modeling of online social network dynamics The last decade has seen the rise of immense online social networks (OSNs) such as MySpace and Facebook. In this paper we use epidemiological models to explain user adoption and abandonment of OSNs, … Continue reading

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On the use of differential equations

The complex dynamics of wishful thinking: The critical positivity ratio We examine critically the claims made by Fredrickson and Losada (2005) concerning the construct known as the “positivity ratio”. We find no theoretical or empirical justification for the use of … Continue reading

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