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Mathoverflow.net news digest

  • 0 days

    Is the stepwise Smith normal form a complete isomorphism invariant for persisten...

    Let $M \colon \{0, \dots, n\} \to \mathbb{Z}\text{-}\mathbf{Mod}$ be a persistencemodule with finitely generated stalks. At each step $i$, the structure map$\varphi_i \colon M(i) \to M(i+1)$ is a $\mathbb{Z}$-linear map between finitelygenerated abelian...

  • 0 days

    Subadditivity-type inequality for spectral projections

    Let $(\mathcal M,\tau)$ be a von Neumann algebra equipped with a faithful normal tracial state $\tau$. For a self-adjoint operator $x\in\mathcal M$, let $\chi_{[\lambda,\infty)}(|x|)$ denote the spectral projection of $|x|$ corresponding to $[\lambda...

  • 0 days

    Doctoral thesis with random, pointless topic

    I read somewhere that in the 1960s, mathematics doctoral theses were defended whose topic was: pick a few randomly chosen axioms to impose on a set, call this "Schmurz" and see if you can prove theorems the Schmurz structure satisfies. In other words...

  • 0 days

    Electrical circuit analysis for non-zero sum games

    Question: is there a connection between electrical circuits and nonzero-sum games?
    (I asked this on math.SE 11 days ago and got no answer ).
    The reason I am asking is that I have very recently found out about such a connection for zero-sum games. It is presented in "Game Theory, Alive" by A.R. Karlin and Y. Peres. Very briefly (and I recommend reading the relevant material in the book): ...

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