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Jason's user avatar
Jason's user avatar
Jason
  • Member for 9 years, 7 months
  • Last seen this week
14 votes
Accepted

Prove partial derivatives exist, but not all directional derivatives exists.

13 votes

Extension of real analytic function to a complex analytic function

13 votes

Kolmogorov's maximal inequality and convergence of random series.

13 votes
Accepted

A function of a Markov chain is necessarily again a Markov chain?

12 votes
Accepted

Prove that if $\sum |a_n - a_{n+1}| < \infty$ then $(a_n)$ converges

11 votes
Accepted

Is every Cauchy sequence in a non-complete metric space convergent?

9 votes
Accepted

Prove that $g(0) = 0$

8 votes

Probability that last child is a boy

8 votes
Accepted

If $f\in L^1(\mathbb{R})$, then $\sum_{n\ge 1}f(x+n)$ Converges for a.e. $x$.

8 votes
Accepted

Expectation value - does it need to be on a Banach space?

7 votes

Why is the gaussian free field a distribution but Brownian motion is a function?

7 votes
Accepted

Is Bloch "Proofs and fundamentals" take on Zorn lemma Safe and sound?

7 votes
Accepted

Wald’s identity for Brownian motion with $E[\sqrt T]<\infty$.

7 votes

Why is $(1-\cot 37^\circ)(1-\cot 8^\circ)=2.00000000\cdots$?

6 votes
Accepted

lebesgue measurability of $\sum_{n=1}^\infty \frac{\cos nx}{n^2}$

6 votes
Accepted

Does an injective function always have a left inverse?

6 votes

Complex Analysis: Show that $Arg(z)$ is discontinuous at each point on the nonpositive real axis.

6 votes

The sequence $(\frac 1n )$ of inverses of natural numbers converges to a limit other than $0$

6 votes

Is it mathematically problematic to consider the complex space of real(!)-valued functions?

6 votes

Continuous and discontinuous function problem

6 votes
Accepted

Convergence in Distribution of the maximum of a sequence.

6 votes

How small the probability $\Bbb{P}(X_1+X_2 +\dots +X_n < n + 1)$ can be if $\Bbb{E}(X_i) = 1$?

6 votes

Show that the series converges absolutely $\sum (-1)^n \frac{1}{n (\log n)^2}$

6 votes
Accepted

Set of continuous function is not measurable

5 votes
Accepted

Show $A \in \cal F$ exists, such that $\mathbb P(A)=1$ and $\mathbb Q(A)=0$.

5 votes
Accepted

Is there a definition of $[Y|X=x]$ as a random variable?

5 votes

Weak convergence of a sequence of gaussian random vector

5 votes
Accepted

Infinite metric space has a infinite open set whose complement is also infinite

5 votes

Showing that the sequence $\Big(\frac{e^{int}}{\sqrt{2\pi}}\Big)_{n=1}^{\infty}$ is an orthonormal basis for $L^2 ((-\pi, \pi))$

5 votes

Stochastic processes as Banach or Hilbert-space-valued random variables

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