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Jacob Biamonte and I just finished our draft for a blog article about a Noether's theorem for doubly stochastic Markovian systems. We show that in a continuous-time Markovian system where the generator is symmetric (and thus a Dirichlet operator), one regains the usual "quantum version" of the Noether's theorem instead of the more complicated "stochastic version" John and Brendan presented in a recent paper.

You can find the article here:

We feel it's pretty close to finished, all comments are welcome.

## Comments

It looks great! Sorry to take so long to reply - I've been massively distracted by writing about Operads and the Tree of Life.

Could you please change the formatting as described in

? For example, blog entries use HTML rather than Markdown; there are also other differences.

Apart from that it seems ready to go! I will probably make some small last-minute changes in the process of posting the article.

By the way, the term "

ChallengeProblem" makes it sound as if you haven't been able to solve this problem. I usually call these things "puzzles".`It looks great! Sorry to take so long to reply - I've been massively distracted by writing about [Operads and the Tree of Life](http://math.ucr.edu/home/baez/phylo.pdf). Could you please change the formatting as described in * [How to write a blog entry](http://www.azimuthproject.org/azimuth/show/How+to#blog) ? For example, blog entries use HTML rather than Markdown; there are also other differences. Apart from that it seems ready to go! I will probably make some small last-minute changes in the process of posting the article. By the way, the term "**Challenge** Problem" makes it sound as if you haven't been able to solve this problem. I usually call these things "puzzles".`

Just an FYI: the prior thread related to this topic is here:

`Just an FYI: the prior thread related to this topic is here: * [Quantum vs stochastic Noether's theorm](http://forum.azimuthproject.org/discussion/1221/quantum-vs-stochastic-al-la-baezfong-noethers-theorm/)`

I polished up the blog article, gave it a title short enough to fit into one line of the blog, and published it on Azimuth:

If any of the original authors doesn't like any of the changes I made, or I made mistakes, please let me know and I'll fix them!

`I polished up the blog article, gave it a title short enough to fit into one line of the blog, and published it on Azimuth: * [[Blog - Noether's theorem: quantum vs stochastic]], Azimuth Blog. If any of the original authors doesn't like any of the changes I made, or I made mistakes, please let me know and I'll fix them!`