Geoff Diestel

6 Questions 14 Answers 0 Followers

Questions related from Geoff Diestel

Does Leibniz-Reynolds transport theorem hold for variable Lipschitz domains in the sphere?

I have a family of simply connected domains Lipschitz domains D(t) on the unit n-1 sphere in Euclidean n-space. The domains vary continuously in t. Since the uniform limit of Lipschitz functions...

07 July 2018 6,167 0 View

If the Nakajima problem has an affirmative answer for convex bodies with a C^1 boundary, can it be shown to have an affirmative answer in general?

The Nakajima problem asks if a convex body with constant width and constant brightness must be a Euclidean ball. An affirmative answer is only known in three dimensions(Howard, 2006). A convex...

05 May 2018 6,151 1 View

How does a PhD mathematician break into R&D or Data Science?

I am considering my options and would like to continue in academia but my current job which is partially remote is ending and my family situation restricts my job locations to the Pacific...

02 February 2018 570 0 View

Convex Bodies with C^2 boundaries and non-vanishing curvature?

Is there a convex symmetric body with C^2 boundary and non-vanishing Gaussian curvature in R^3 whose polar(dual) body fails to have non-vanishing Gaussian curvature?

02 February 2018 2,962 2 View

There is an isometric embedding of \ell_1 into weak-L_1 using 1-stable random variables. Can anyone outline this construction for me?

There is a reference to such an embedding in a 2005 article of Nigel Kalton on Rademacher Decoupling. I've failed to figure out how to construct this embedding and am wondering if anyone can give...

02 February 2016 2,630 2 View

Must a quasi-Banach space of Rademacher type 1 have a point-separating dual?

For 0

02 February 2016 467 2 View