bio  website  nd.edu/~lnicolae 

location  University of Notre Dame  
age  49  
visits  member for  2 years, 9 months 
seen  15 mins ago  
stats  profile views  5,658 
I do mostly geometry and topology, with an analytic bias. For the past few years Morse theory has popped up in my research, but not in a conventional way.
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Chances for a cosine polynomial to be positive at a point
@fedja Could you elaborate the statement about similarity with the normal distributions? 
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Chances for a cosine polynomial to be positive at a point
Fedja's question is an excellent place to start. It suggests that maybe the $1/2$ in your question should be replaced by some universal number $c\in (0,1)$. 
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Chances for a cosine polynomial to be positive at a point
After looking at many examples, your conjecture seems more and more plausible (and difficult). Fedja.s 
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Chances for a cosine polynomial to be positive at a point
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awarded  Nice Answer 
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Why is it so hard to compute $\pi_n(S^n)$?
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Why is it so hard to compute $\pi_n(S^n)$?
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answered  Chances for a cosine polynomial to be positive at a point 
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answered  Why is it so hard to compute $\pi_n(S^n)$? 
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Chances for a cosine polynomial to be positive at a point
Need to explain what is $f$. 
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Isotropic correlation function for a vector valued random field
You are computing the derivative if $K_2$ at $0$.Note however that $K_2(r)=\exp(r)$ does not vanish for $r=0$. 
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Which $\frak{sl}_2$Representations Arise From Hermitian Metrics
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answered  How to extend index theorem to infinite dimensional manifolds? 
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Interpretation of riemannian geodesics in probability
You may also want to look at Stroock's book An Introduction to the Analysis of Paths on a Riemannian Manifold 
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Convergence in distribution and ODE
No I have not seen anything like that. 
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Convergence in distribution and ODE
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Convergence in distribution and ODE
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Convergence in distribution and ODE
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