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Mathoverflow.net news digest

  • 0 days

    Due diligence in the age of AI: is this Laurent polynomial parity lemma in the l...

    A core principle in the use of AI for research (something we might want to add to our AI policy), is "Put effort into proper attribution". In that spirit I would like to ask if the following result on Laurent polynomials, handed to me with a proof by...

  • 10 years

    How undecidable is the spectral gap?

    Nature just published a paper by Cubitt, Perez-Garcia and Wolf titled Undecidability of the Spectral Gap, there is an extended version on arxiv which is 146 pages long. Here is from the abstract:"Many challenging open problems, such as the Haldane conjecture...

  • 14 years

    Ordinals and complexity classes

    What is the least recursive ordinal $\alpha$ such that there is no algorithm in complexity class $\mathsf{P}$ which implements a well-ordering of $\mathbb{N}$ with order type $\alpha$? (where the size of input is the total number of digits in numbers...

  • 16 years

    Efficient way of determining isomorphism

    Suppose you are given two isomorphic graphs $G$ and $H$. Is there an efficient way of defining an isomorphism $\phi:V(G) \to V(H)$ if we already know they are isomorphic? Or is it just a guess and check process?

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