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Gautam Shenoy's user avatar
Gautam Shenoy's user avatar
Gautam Shenoy's user avatar
Gautam Shenoy
  • Member for 11 years, 11 months
  • Last seen more than a month ago
  • Bangalore, India
45 votes
4 answers
9k views

cosh x inequality

12 votes
1 answer
2k views

Weak continuity of K-L divergence function

11 votes
2 answers
7k views

An Orlicz norm is a norm

11 votes
3 answers
5k views

How to prove that càdlàg (RCLL) functions on $[0,1]$ are bounded?

11 votes
1 answer
2k views

To show that $P(|X-Y| \leq 2) \leq 3P(|X-Y| \leq 1)$ [duplicate]

11 votes
3 answers
6k views

Doubt in Scheffe's Lemma

9 votes
3 answers
2k views

Applying Central Limit Theorem to show that $E\left(\frac{|S_n|}{\sqrt{n}}\right) \to \sqrt{\frac{2}{\pi}}\sigma$

8 votes
2 answers
2k views

Convergence of random variables (Durrett: Probability Theory and Examples)

8 votes
1 answer
1k views

Trace cauchy schwarz inequality

7 votes
2 answers
2k views

A possible vacuous logical implication in Topology

7 votes
4 answers
2k views

A question on Tight probability measures (regular measure)

6 votes
3 answers
8k views

Limit of a sequence involving root of a factorial: $\lim_{n \to \infty} \frac{n}{ \sqrt [n]{n!}}$ [duplicate]

6 votes
1 answer
129 views

Is $(A \times B)^\epsilon \subseteq A^\epsilon \times B^\epsilon$?

6 votes
2 answers
105 views

Showing $2^{n_2} + 3^{n_3}+\cdots+9^{n_9}$ is dense in $\mathbb{R}^+$

5 votes
1 answer
300 views

A (possibly) easier version of Bertrand's Postulate

5 votes
1 answer
468 views

Four Variable Data Processing Inequality

5 votes
1 answer
366 views

Prove that $\|\mathrm{Tr}_B(T)\|_1\le\|T\|_1$ for bounded operators $T$

5 votes
1 answer
1k views

Square roots of non-negative commuting operators commute

5 votes
2 answers
2k views

An elementary proof for a bound on $x \log x$

5 votes
2 answers
9k views

A Taylor series expansion of $e^{ix}$

4 votes
0 answers
374 views

Useful bounds on stopping time for a positive drift random walk

4 votes
1 answer
87 views

A universal bound on expectation $E[X^ke^{-X}]$

4 votes
1 answer
459 views

(Non) Complete, (Non) separable, (Non) metrizable spaces

3 votes
1 answer
1k views

A question on gauge norm on Orlicz space

3 votes
0 answers
194 views

Convex function Inequality (3 - point version)

3 votes
3 answers
413 views

Inequivalent metrics can give rise to the same class of Borel sets

3 votes
1 answer
3k views

d-dimensional Brownian motion and martingales

3 votes
1 answer
492 views

Skorokhod Representation: $|X_n(t) - X_n(s)| \leq |t-s| \Rightarrow |X(t) - X(s)| \leq |t-s|$

3 votes
1 answer
813 views

Commuting operators in a Projection

3 votes
2 answers
675 views

Compactness of Set of Probability Measures