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WhoKnowsWho
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8 votes
1 answer
166 views

$\int \frac{1}{f’(x)}$ diverges

8 votes
1 answer
166 views

If the cardinality of $f^{-1}$ is at most $f(x)^2$ then $f$ is differentiable almost everywhere.

7 votes
1 answer
161 views

If $f$ takes every value at most $k$ times, then f is differentiable almost everywhere.

7 votes
1 answer
156 views

$f$ is analytic if $f$ agrees with some holomorphic function on every triplet

6 votes
1 answer
570 views

Zeroes of $\sin(z)-z^2$

4 votes
1 answer
225 views

Radon-Nikodym derivative of a finitely additive measure

4 votes
1 answer
104 views

Norm $||.||$ on $C(X)$ is equivalent to $||.||_{\infty}$ norm if evaluation linear functionals on $(C(X),||.||)$ is continuous.

4 votes
2 answers
1k views

Measure of the set $\{x\in [0,1]: \text{the decimal expansion of } x \text{ contains infinitely many 7.} \}$.

4 votes
2 answers
124 views

Is $\int_{\mathbb{R}} |F(x)-G(x)|^2(f(x)-g(x))dx =0$ true, for $f,g$ probability densities and $F,G$ the corresponding distribution functions?

4 votes
1 answer
99 views

$\langle f'(X), X\rangle_t=\int\limits_{0}^{t}f''(X_s)d\langle X\rangle_s.$

4 votes
0 answers
110 views

Growth of holomorphic functions

3 votes
1 answer
84 views

Is comparison lemme required for Hanson-Wright Inequality?

3 votes
0 answers
49 views

Homotopy of two maps if their slices are homotopic

3 votes
0 answers
69 views

A purely discontinuous process with jumps +1 is Poisson.

3 votes
0 answers
65 views

If $f_n$ converges to $f$ weakly, then $Kf_n$ converges to $Kf$ in $L^2(X)$. Do I need $X$ to have finite measure.

2 votes
1 answer
441 views

If $X$ has more than one components then $X$ is disconnected.

2 votes
0 answers
72 views

Explanation of the "Proof"

2 votes
2 answers
348 views

For Brownian motion $B_t,$ we have $\lim_{t\to \infty}\frac{B_t}{t^{\alpha}}=0$ almost surely.

2 votes
0 answers
91 views

Upper Bound on Relative Entropy

2 votes
0 answers
25 views

Distribution of $W\cdot x$ where $W$ is a Gaussian matrix and $x$ is an independent random vector.

2 votes
1 answer
36 views

Time marginal of Brownian motion and Heat Equation

2 votes
1 answer
80 views

Pushforward of a measure under a given flow

2 votes
0 answers
29 views

Does there exist $F:[0, 1]^m\to [0, 1]^n$ which pushes forward Lebesgue measure to absolutely continuous measure?

1 vote
1 answer
37 views

Expectation and variance of homomorphism density into Erdős–Rényi

1 vote
1 answer
68 views

Maximize $\sum_{i=0}^{\infty}p^i\log(x_i)$ where $x_i\ge 0, \sum x_i\le 1.$

1 vote
1 answer
49 views

Let $Z\sim N(0, 1)$ then $E(f(Z))\le E(f(X))$ for any convex $f$ and any $X$ with unit variance.

1 vote
0 answers
14 views

Existence of a bigeodesic is a tail event!

1 vote
1 answer
79 views

Absolute convergence of Hook Integral

1 vote
0 answers
53 views

If $U\cup U^{-1}$ is a symmetric neighbourhood.

1 vote
2 answers
150 views

Introduction to Topological manifolds Problem 4-15