00:32:29 Neeladri Maitra: are there conditions on the function K which ensures such a collection of Gaussian rv s exist? 00:33:29 Stephen Muirhead: K should be positive definite, and if it is then such a collection exists 00:34:16 Neeladri Maitra: thanks a lot 00:40:56 Manjunath Krishnapur: density of f(x) at 0 missing in Kac Rice? 01:03:37 Yogeshwaran D: The conditions on the Gaussian field ensure that it satisfies “smoothness” needed to use Morse theory ? 01:04:36 Yogeshwaran D: Thanks. 01:05:20 sreekar: Is there any way of checking the positivity of one-arm exponent? 01:07:56 sreekar: Thanks 01:09:14 Yogeshwaran D: Random plane wave has polynomial decay of correlations ?