Timeline for Does every smooth manifold carry a gaussian random field?

10 events

when toggle format	what		by	license	comment
Oct 21, 2015 at 22:59	vote	accept	Alex Lapanowski
Oct 21, 2015 at 17:49	answer	added	Liviu Nicolaescu		timeline score: 11
Oct 21, 2015 at 17:38	history	edited	Yoav Kallus		added top-level tag
Oct 21, 2015 at 16:36	comment	added	André Henriques		What continuity properties should $f$ satisfy? So far, you definition only refers to the underlying set of $M$. You better refer to the smooth structure of $M$ somewhere.
Oct 21, 2015 at 16:35	history	edited	André Henriques	CC BY-SA 3.0	added 7 characters in body
Oct 21, 2015 at 16:22	history	edited	Alex Lapanowski	CC BY-SA 3.0	added 339 characters in body
Oct 21, 2015 at 16:20	comment	added	Alex Lapanowski		That's kind of the heart of my question. What structure do you need to ensure there always is one? As you say, an arbitrary smooth manifold has too little structure. Is a Riemannian metric enough? I added the definition of a random field to the question.
Oct 21, 2015 at 6:43	comment	added	Ryan Budney		What do you take a Gaussian Random Field to be on a manifold? I imagine I could answer your question if I knew the definition. Or are you talking about Riemann manifolds, like in the Adler paper? A plain manifold has too little structure to make much sense of a thing like a Gaussian Random Field, I imagine.
Oct 21, 2015 at 5:07	review	First posts
Oct 21, 2015 at 6:07
Oct 21, 2015 at 5:06	history	asked	Alex Lapanowski	CC BY-SA 3.0