Comments on: Network Theory (Part 20)

By: More Second Laws of Thermodynamics « Azimuth

More Second Laws of Thermodynamics « Azimuth — Fri, 24 Aug 2012 14:14:23 +0000

[...] And there are nice theorems that let you know when a stochastic matrix maps exactly one probability distribution to itself, based on the Perron–Frobenius theorem. [...]

By: John Baez

John Baez — Wed, 08 Aug 2012 11:00:56 +0000

Well, it’s true! But I’ll fix it anyway.

By: Mike Stay

Mike Stay — Wed, 08 Aug 2012 02:14:47 +0000

“…good both for stochastic mechanics and stochastic mechanics.”

By: John Baez

John Baez — Tue, 07 Aug 2012 04:51:03 +0000

Wow, thanks for catching all those errors! I fixed them. I can see at least one person read to the very end.

By: Blake Stacey

Blake Stacey — Mon, 06 Aug 2012 16:43:54 +0000

Also:

The eigenvalues of H$ are real

some natural number $m.$

if and only if every conserved quantity $O$ for $H$ is a constant.

By: Blake Stacey

Blake Stacey — Mon, 06 Aug 2012 16:37:43 +0000

Great post!

Typo alert: the formulas in this sentence are missing their requisite “latex”.

In stochastic mechanics, an observable $O$ has a value $O_i$ in each configuration $i,$ and the expected value of the observable $O$ in the stochastic state $\psi$ is