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# Author Archives: Artem Novozhilov

## Mathematics of Epidemics on Networks

It looks like that finally a monograph about mathematical approaches to the modeling of epidemic spread on networks is written and will be published in May, 2017. Here is the publisher’s web page. Here is Table of contents. Really looking … Continue reading

## Q-Index

Ok, we all know about h-index nowadays. Here is another index, which, according to the authors of this paper [1], published in Science, measures individual scientific impact. This is now Q-index, which not only predicts h-index and cumulative citations, but … Continue reading

Posted in Around mathematics, Career, Publishing
Tagged Career, h-index, publish or perish
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## 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.

Posted in Applied Mathematics, Teaching, Uncategorized
Tagged Differential equations, History, Math 483: PDE
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## Lecture notes on PDE

The semester is over, and this Spring I really enjoyed teaching the course on partial differential equations. All the lecture notes can be found at the course web page, or, in one file, at ResearchGate.

Posted in Career, Math 483: PDE, Teaching, Uncategorized
Tagged Lecture Notes, Math 483: PDE, teaching
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## Tree of Life

The only illustration in the Origin of Species is the following sketch of the tree of life by Charles Darwin: More recent tree of life is given by On this tree all multi-cellular organisms are a tiny branch in the … Continue reading

Posted in Complex networks, History, Uncategorized
Tagged biology, History, teaching, tree of life
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## Smale’s horseshoe

Smale’s horseshoe, one of absolutely central notions of the modern theory of dynamical systems, was invented by Stephen Smale in 1960 in Rio de Janeiro, while Dr. Smale was receiving support from the National Science Foundation (NSF) of the United … Continue reading

Posted in History, Lecture Notes, Math 760: ODE I, Math Club, NDSU
Tagged chaos, dynamical systems, History, Math Club, teaching
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## Plans

I will talk about Smale’s horseshoe this Friday at our regular Math Club. My presentation at the AMS sectional meeting is scheduled for Sunday, April 17, 2016, Special Session on Topological and Smooth Dynamics, IV, Room 308, Minard Hall, for 2:30pm (the last talk). … Continue reading

Posted in Career, conferences, History, News, travel
Tagged Career, conferences, History
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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

## Eigen quasispecies model and isometry groups

Quite some time ago Yura Semenov and I uploaded yet another paper on the quasispecies theory (this is a continuation of this research), here is an archive link. The title of the paper is “On Eigen’s quasispecies model, two-valued fitness … Continue reading

Posted in Career, Evolutionary theory, quasispecies, Uncategorized
Tagged Error threshold, Evolution, publish or perish, publishing, quasispecies
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## Something about rigor in mathematics

A very interesting account of Oliver Heaviside work. Link.