Here's a direct link to the preprint if you want to skip the fluff: https://arxiv.org/abs/2203.17207
Elegant six-page proof reveals the emergence of random structure
41–50 of 178 posts
Re: Elegant six-page proof reveals the emergence of random structure
#42A 6 page proof described as "elegant" must be incredibly dense.
Re: Elegant six-page proof reveals the emergence of random structure
#43I am talking about reading and understanding it, not necessary validating the correctness.
Re: Elegant six-page proof reveals the emergence of random structure
#44Here's a direct link to the preprint if you want to skip the fluff: https://arxiv.org/abs/2203.17207
Actually, the "fluff" in this case is outstanding. The paper itself doesn't provide much context, but the Quanta piece does a great job at explaining why the result is important.
Plus, calling it 'fluff' is surely the mildest of sassy descriptions, no?
Re: Elegant six-page proof reveals the emergence of random structure
#45I wish Quanta was a print publication I could subscribe to. Definitely the types of articles I'd like to sit down and read not on a computer.
Re: Elegant six-page proof reveals the emergence of random structure
#46> 2 (of a scientific theory or solution to a problem) pleasingly ingenious and simple: the grand unified theory is compact and elegant in mathematical terms. A 6 page proof described as "elegant" must be incredibly dense.
Re: Elegant six-page proof reveals the emergence of random structure
#47Re: Elegant six-page proof reveals the emergence of random structure
#48What level of expertise is this proof accessible to? Could a final year undergraduate understand this perhaps with a bit of help or background reading? I am talking about reading and understanding it, not necessary validating the correctness.
Re: Elegant six-page proof reveals the emergence of random structure
#49Re: Elegant six-page proof reveals the emergence of random structure
#50What level of expertise is this proof accessible to? Could a final year undergraduate understand this perhaps with a bit of help or background reading? I am talking about reading and understanding it, not necessary validating the correctness.
Edit: ah! I paged through the percolation introduction and it mentions A∆B ∶= (B ∖ A) ∪ (A ∖ B) so that's the symmetric difference between A and B. And it seems the first ten pages is enough, we only need to get to the Russo theorem.