Tags » Ergodicity

Hamiltonian MC on discrete spaces

Following a lively discussion with Akihiko Nishimura during a BNP11 poster session last Tuesday, I took the opportunity of the flight to MontrĂ©al to read through the… 369 more words


Ink, science, story-telling

Scientific theorizing is indeed about finding something reliable in the world — if we’re lucky something reliable enough to be called a law. Why do we want something that doesn’t change? 1,274 more words


Winner take all

Michael Mauboussin recently re-tweeted an article by Jason Zweig in the Wall Street Journal titled “Disturbing New Facts About American Capitalism”.

The article summarizes reports of an increasing concentration of economic power (market capitalization, profits etc) in ever smaller numbers of American companies, so-called super-star companies in their respective sectors. 607 more words


Gas in a box or nuclear explosion?

This post is about mindset, culture, implicit assumptions. The big assumption in neoclassical economics is ergodicity, or equilibrium, or stationarity, or stability — basically the idea that nothing ever changes fundamentally. 1,139 more words


Reproducibility and weak ergodicity breaking

The term “weak ergodicity breaking” helps categorize things by their ergodic properties:

  1. ergodic
  2. strongly non-ergodic
  3. weakly non-ergodic

This list is chronological, in that there used to be an implicit belief that everything was ergodic (from 1654), then the realization that some things are strongly non-ergodic (1850s — 1870s), and then the discovery that things can be a lot more subtle (with Jean-Philippe Bouchaud… 884 more words