Talk:Wiener sausage

Untitled
I've removed the tag, but not touched the AFD tag (as is proper according to procedure). Clearly the person putting the tag on the page (and also nominating for AFD) thinks of this whole article as a big joke, despite the Wiener sausage being an important topic of study. Let me just say that, no, this is not some unencyclopedic topic, and yes that is indeed what people call the mathematical object. I find the tag insulting, not only to me as a long time contributor, but because it is indicative of someone who hasn't even bothered reading the article or doing basic research on the topic. --C S (talk) 22:47, 22 March 2008 (UTC)
 * Sorry if you're finding it offensive (with lots of sarcasm) but I'm putting it back. Udonknome (talk) 00:42, 23 March 2008 (UTC)

Great choice for the April 1st DYK
I did a double-take. --Bobak (talk) 20:07, 1 April 2008 (UTC)
 * As did several people who accidentally voted to delete on the AfD! I knew the term "sausage" and checked the biography of Wiener, but wasn't convinced until I saw the term in use in the literature either. --Cheeser1 (talk) 20:32, 1 April 2008 (UTC)

Merger proposal
Now that the April Fool's is over, should this article be merged with Wiener process? My knowledge of the mathematics isn't enough for me to be able to make a confident judgment myself; that is to say, I really don't know what they're talking about. This article caught my eye because a friend of mine who is a graduate student in mathematics didn't believe me that it was real. Soap Talk/Contributions 21:24, 9 April 2008 (UTC)


 * It looks to me as if there is enough substance here for its own article. Generally, topics like this that have a substantial backing in the literature should not be merged into a larger topic article such as Wiener process.  Anyway, it seems some other people agree to not merge (see also the AFD discussion).  Your friend (and you also) may enjoy this comic. --C S (talk) 07:49, 18 April 2008 (UTC)

The area of mathematics is fairly un-taught, stochiastic thermodynamics and calculus, migration of orbits in dynamic systems theory, similar to scattering theory, as in a somewhat irregular tunnel like path or limit envelope in which to wander, i.e. sausage shaped. It's like saying Klein's bottle, or Mobius' strip you see. "Islands of low-entropy" you will find in the same literature. — Preceding unsigned comment added by 70.58.33.207 (talk) 17:14, 1 July 2011 (UTC)

Unclear results
In the current version of this page, it is said by rescaling, this is essentially equivalent to studying the volume as the sausage becomes long. This is not clearly expressed, and I think it corresponds only to unidimensional laws (in distribution).

Later on, it is said the volume of the Wiener sausage is asymptotic to [...]. I think that this holds both in the almost sure sense and in $$L^p$$ for all finite $$p$$. It would be great to have a precise statement. Sorry that I cannot do it myself.

As well, it would be great to give an almost sure result as $$\delta\to 0 $$ (which do not follow from the almost sure convergence as $$t\to \infty$$). I personally don't know reference for this. — Preceding unsigned comment added by 134.157.64.107 (talk) 08:31, 18 August 2020 (UTC)