Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math.research

Topic: zeros of heat-extensions, Brownian motion
Replies: 0  

Advanced Search

Back to Topic List Back to Topic List  
Prabhu

Posts: 11
Registered: 10/24/08
zeros of heat-extensions, Brownian motion
Posted: May 26, 2011 8:00 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Hi, if I take an nontrivial L^2 function f on R^n, its heat extension
F in R^{n+1}_+ is real analytic on each plane and nonzero almost
everywhere. (correct?)

1. How bad can its zero set be?

In particular,

2. Let Z be Brownian motion in R^n x [0,oo), started at (0, T). Can I
say that the process F(Z_t) is almost surely non-zero for all t>0?
(till Z hits boundary). Or is that F(Z_t) is non-zero for all t>0,
almost surely?

Thanks.

Prabhu




Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.