Timeline for Most important results in 2022
Current License: CC BY-SA 4.0
16 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 24, 2022 at 2:19 | comment | added | dhy | This comment thread is ridiculous. I'm about as far from dynamical systems mathematically as possible and this result looks amazing and fundamental to me. Thank you for posting this. | |
| Dec 12, 2022 at 8:45 | comment | added | Alessandro Della Corte | You're welcome. Even finiteness of measures of maximal entropy is nontrivial in many cases. However, the comments above convinced me that this is probably a community-biased answer... | |
| Dec 12, 2022 at 7:24 | comment | added | Brevan Ellefsen | Woah, this is a rather huge result in relevance to the stuff I've been working on, where uniqueness results have generally required me to restrict to smooth projective varieties. Thanks for sharing! | |
| Dec 9, 2022 at 13:22 | comment | added | Timothy Chow | I have to agree with David Roberts. I don't understand the statement of the result. If it can be explained to an undergrad, then maybe you should add a paragraph explaining what the result is saying. By the way, I don't know what David Roberts means by a model of choiceless set theory where the real numbers are countable; maybe that should read "the real numbers are a countable union of countable sets"? | |
| Dec 5, 2022 at 20:28 | comment | added | David Roberts♦ | I don't really get what this result is saying, or why it's important, and I try to be widely-read. I mean, i think i recognise most of the buzzwords, but i have no feeling for why it's important, aside from the facts its a kind of general uniqueness proof that seems nontrivial. So "understandable" is relative. Compare for instance a result like an faster multiplication algorithm, or a model of choiceless set theory where the real numbers are countable. | |
| Dec 5, 2022 at 18:09 | comment | added | Alessandro Della Corte | And it has connections with symbolic dynamics of I guessed what you mean! π | |
| Dec 5, 2022 at 18:06 | comment | added | Carl-Fredrik Nyberg Brodda | @AlessandroDellaCorte The (arguably) most important open problem in semigroup theory is explainable to a child. | |
| Dec 5, 2022 at 14:58 | comment | added | Alessandro Della Corte | I believe you picked up the two extreme cases in which what you say is true. But in dynamical systems and calculus of variation (my two main fields) itβs so refreshing when something is proven that can be explained to an undergrad π. And usually they are deep results. | |
| Dec 5, 2022 at 14:53 | comment | added | JoshuaZ | @AlessandroDellaCorte "Understandable usually means fundamental." Is that true in dynamical systems? At least in number theory and graph theory there's massive amounts of very easy to understand stuff that is not at all fundamental. | |
| Dec 5, 2022 at 14:42 | comment | added | Alessandro Della Corte | Understandable usually means fundamental. The converse is obviously not true, as there are very crucial results which are very technical to state. | |
| Dec 5, 2022 at 14:36 | comment | added | Wojowu | @AlessandroDellaCorte I don't see how it being understandable makes it any more important. | |
| Dec 5, 2022 at 14:12 | history | edited | Alessandro Della Corte | CC BY-SA 4.0 |
added 58 characters in body
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| Dec 5, 2022 at 12:36 | comment | added | Alessandro Della Corte | That's harsh, isn't it? :) I didn't see any special requirement for motivations or explanations in the question, so I just mentioned a paper I judged very important and that I'm reading at the moment. And it's important (also) because it establishes a result that can be understood by anyone just a bit familiar with basic dynamical systems theory. It is also wonderfully written, and almost self-contained. | |
| Dec 5, 2022 at 10:05 | comment | added | HJRW | -1 "Looks like a major result to me". One might say the same about anything published in the Annals! Surely a good answer to this (controversial) question should at least explain why the result is important. If it doesn't solve a well known open problem, my instinct is that it probably shouldn't make the grade. The wording of your answer suggests that even someone biased towards the area doesn't understand the importance of this result. | |
| S Dec 5, 2022 at 9:16 | history | answered | Alessandro Della Corte | CC BY-SA 4.0 | |
| S Dec 5, 2022 at 9:16 | history | made wiki | Post Made Community Wiki by Alessandro Della Corte |