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Learning Math
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1 vote
1 answer
80 views

There's no way one can define the covariance matrix of just a probability measure without having a random variable, right? A paper did just that.

1 vote
0 answers
72 views

Must the first non-zero derivative in the Taylor expansion of a smooth function around its unique local minima be of even order?

1 vote
2 answers
56 views

Tight upper bound on the growth of the integral for $n$-th moment of normal distributions with increasing mean $\theta \to \infty, n\to \infty?$

1 vote
0 answers
348 views

Convergence of expectations to $\mu$ plus convergence of variance to zero implies convergence in probability to $\mu$?

1 vote
1 answer
664 views

$\alpha$-convexity of a function - formal definition and examples (related to a particular homework)

1 vote
0 answers
36 views

Is the following functional defined on the space of diffeomorphisms (or just vector space of $C^2$ functions) of Euclidean space convex?

1 vote
2 answers
267 views

How do you mathematically define a random line or in general, a random subspace of a Euclidean space?

1 vote
1 answer
72 views

A question on the limit of probabilities of random variables with zero mean, based on intuition

1 vote
1 answer
138 views

Difference between the eigenvalues of an $n \times n$ matrix $D$ and its "centered" version $DH_n$

1 vote
1 answer
1k views

In probability theory, what are the definitions of "high probability", "overwhelming probability", and "$\Omega(n)$"?

1 vote
0 answers
150 views

Characterization of isometric embedding from low dimensional Euclidean spaces to high dimensions

1 vote
0 answers
38 views

Transformation formula for densities of random vectors with different dimensions

1 vote
1 answer
139 views

Easy examples of discrete/atomic probability measures on $\mathbb{R}$ weakly converging to a probability measure with continuous density function

1 vote
2 answers
179 views

How to prove that $\infty$ is an attractive fixed point for the function in Newton's method for the given function?

1 vote
0 answers
37 views

Why are there different assumptions on the limit of $\frac{p}{n}$ in Marcenko-Pastur law/theorem as $p, n\to \infty$

1 vote
2 answers
339 views

Checking a bound on the Stieltjes transform from Terence Tao's notes

1 vote
0 answers
123 views

Why am I experimentally getting more small eigenvalues of sample covariance matrices when data come from lower dimensional spaces, and contrary?

1 vote
2 answers
99 views

Estimate on a simple-looking integral arising from harmonic analysis/harmonic extensions

1 vote
1 answer
244 views

Questions on two elements in a Fuchsian group which have at least one common fixed point

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0 answers
91 views

Inequality for harmonic extension : Is $\int_{t\in S^1} |t-\zeta|^{\alpha}p(z,t) |dt| \leq K|z-\zeta|^{\alpha}, 0< \alpha < 1$ for uniform $K$?

1 vote
1 answer
964 views

Solution to the Dirichlet problem is smooth up to the boundary if the boundary data is smooth?

1 vote
0 answers
50 views

Does either each entry OR the trace of the resolvent of a real matrix map the upper half plane to itself? If so, how to prove it?

1 vote
1 answer
89 views

How to define $E(X)$ when X is a random variable from the sample space to an infinite-dimensional topological vector space?

1 vote
1 answer
790 views

Upper bound on the norm of the inverse of matrices with zero limit

1 vote
0 answers
124 views

Under what hypothesis on the domain is the X-ray transform/John transform operator bounded?

1 vote
0 answers
496 views

"Commutation" of parallel transport with covariant derivative and Riemann curvature tensor

0 votes
0 answers
50 views

How to prove this identity involving traces of resolvents?

0 votes
1 answer
275 views

Few questions of circularly symmetric complex random variables

0 votes
1 answer
665 views

Does a real, non-symmetric, non-negative definite matrix have a unique non-negative definite square root?

0 votes
1 answer
147 views

Moore Penrose pseudoinverse of this singular matrix arising in machine learning