14,773 reputation
22756
bio website nd.edu/~lnicolae
location University of Notre Dame
age 49
visits member for 2 years, 9 months
seen 15 mins ago
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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comment 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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comment 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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comment 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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revised Chances for a cosine polynomial to be positive at a point
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revised Chances for a cosine polynomial to be positive at a point
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awarded  Nice Answer
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revised Chances for a cosine polynomial to be positive at a point
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revised Why is it so hard to compute $\pi_n(S^n)$?
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revised 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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comment Chances for a cosine polynomial to be positive at a point
Need to explain what is $f$.
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comment 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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revised 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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comment 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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comment Convergence in distribution and ODE
No I have not seen anything like that.
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revised Convergence in distribution and ODE
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revised Convergence in distribution and ODE
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revised Convergence in distribution and ODE
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