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Learning Math
  • Member for 13 years, 3 months
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2 votes
1 answer
272 views

When are the minimizing geodesics of a totally geodesic submanifold also minimizing in the underlying manifold?

2 votes
0 answers
215 views

Intuition behind defining the information of a random variable as being additive for independent events

2 votes
1 answer
2k views

If X, Z are independent, Y, Z are independent, then are XY and Z independent?

2 votes
0 answers
122 views

Laws of large numbers for sample covariances when each random sample are just known to be integrable random vectors

2 votes
2 answers
921 views

A question about non-atomic measures on $S^1$

2 votes
1 answer
342 views

Lift of a homeomorphism $f$ between two (hyperbolic) surfaces $X,Y$

2 votes
2 answers
468 views

Definitions and questions related to projective space $\mathbb{R}P^3$

2 votes
1 answer
457 views

Precise definition of isotropic curve of a conformal structures on a manifold?

2 votes
1 answer
126 views

Alternate definitions of $C^{1,\alpha}(S^1)$ and $C^{1,\alpha}(\bar{D})$ maps

2 votes
1 answer
205 views

How to define the expectation and covariance of a random variable taking values in an inner product space?

2 votes
1 answer
232 views

Variational formulation for first eigenfunction for compact self-adjoint integral operators, and request for references

2 votes
1 answer
45 views

Positive functions which doesn't get multiplied too fast/doesn't grow too fast

2 votes
0 answers
60 views

Possible application of Laws of Large Numbers and Central Limit Theorem to SVD of dual covariance matrices

2 votes
1 answer
148 views

Concentration of norm of linearly transformed normal random vector as dimension go to infinity

2 votes
3 answers
97 views

Ratio of $\Gamma(n)$ to $\Gamma(n/2)^2, n\to \infty?$

2 votes
3 answers
246 views

Is the restriction of multivariate Gaussian PDF to one dimension a constant multiple of a one dimensional Gaussian PDF?

2 votes
0 answers
33 views

In law of large numbers, when does the limit exist if the summands are still iid but changes with the sample size $n$?

2 votes
1 answer
95 views

Just making sure: the set of strict local maxima (maxima points, not maxima values) of a continuous function $f: ℝ^n \to ℝ$ is countable, right?

2 votes
1 answer
56 views

Why must a particular bijective linear operator on an $n$ - dimensional vector space satisfy a polynomial equation? (Without Cayley-Hamilton theorem)

2 votes
1 answer
80 views

Is this following inequality with increasing powers of the components true for small $x$? And if yes, what's the positive constant $C?$

2 votes
1 answer
97 views

Is it true that any sequence of random variables that converge in distribution is tight?

2 votes
1 answer
99 views

Why don't I see any mention of fundamental domain in the context of non-discrete Lie Group acting on Riemannian manifolds

1 vote
1 answer
59 views

On the right inverse of a Borel measurable map between two Souslin spaces being Souslin measurable, i.e. mapping open sets back to analytic sets

1 vote
2 answers
152 views

Bound on expected norm of the difference between the sample mean $\bar{X_n}$ and population mean $\mu$ as a function of the sample size $n$ for LLN?

1 vote
1 answer
76 views

Replacing $o(1)$ by $o_P(1)$ while passing from deterministic to random

1 vote
1 answer
43 views

Isometric copy of the quotient $N$ embedded in the domain $M$ when $\pi:M\to N$ is a surjective Riemannian submersion?

1 vote
1 answer
44 views

Does a Riemannian submersion maps horizontal geodesics to geodesics, and a relevant question?

1 vote
2 answers
97 views

Is the symmetric matrix $vv^{T} - hI$ is strictly negative definite for all small enough $h>0$? Is $\det(vv^{T} - hI)<0$ for small positive $h?$

1 vote
0 answers
75 views

Is it possible to have non-compact, embedded submanifold (without boundary) of a closed manifold?

1 vote
1 answer
107 views

A question on zero set of a real analytic function of two variables