User Serguei Popov

13 votes

Measure induced on [0, 1] by infinite tosses of biased coin

answered Sep 20, 2016 at 12:09

12 votes

Accepted

The mean square distance of a random walk from the origin

answered Jun 19, 2017 at 13:59

12 votes

What are fun elementary subjects in probability?

answered Feb 13, 2016 at 14:51

10 votes

"Surprising" examples of Markov chains

answered Oct 21, 2016 at 17:27

9 votes

Accepted

Brownian motion in $n$ dimensions

answered Nov 5, 2015 at 12:33

7 votes

Accepted

Recurrence of Poisson binomial distributed random walk

answered Oct 19, 2015 at 19:37

7 votes

Accepted

How many times does a simple symmetric random walk of length n return to the origin?

answered Feb 7, 2016 at 13:03

7 votes

Accepted

Spiral lattice random walk

answered Jun 23, 2017 at 23:00

7 votes

Accepted

Prove an anti-concentration inequality for a martingale

answered Nov 1, 2017 at 22:54

5 votes

Proofs of main probability results from other fields

answered Dec 29, 2015 at 11:00

5 votes

Accepted

Brownian motion in $\mathbb{R}^n$, probability of hitting a set

answered Jan 16, 2016 at 12:48

5 votes

Accepted

Distribution of the area statistic for Catalan paths

answered May 13, 2017 at 13:46

5 votes

Random walk visiting a cylinder infinitely often

answered Jan 7, 2023 at 9:54

4 votes

Minimum and maximum bound on mean of product of three pairwise uncorrelated random variables

answered Dec 20, 2015 at 16:40

4 votes

In the plane, does complement of Brownian path have infinitely many connected components?

answered Oct 25, 2015 at 11:58

4 votes

Slight variation on law of the iterated logarithm

answered Nov 1, 2015 at 15:39

4 votes

Accepted

Dependent Bernoulli sequence for which the strong law fails to hold

answered Mar 5, 2016 at 16:01

4 votes

Counterexample: weak convergence doesn't imply $L^1-$convergence

answered Apr 5, 2016 at 17:14

3 votes

Accepted

Edge-perspective degree distribution

answered Nov 20, 2015 at 14:58

3 votes

Accepted

Probability of covering a set

answered Feb 17, 2016 at 18:23

3 votes

The Borel-Cantelli lemma for random walks

answered Mar 25, 2023 at 12:08

3 votes

Is the departure process of an infinite server queue independent of the arrival process?

answered Oct 14, 2022 at 11:50

2 votes

Accepted

Hitting time of a stochastically continuous process

answered Nov 10, 2015 at 11:29

2 votes

Accepted

Conditioned binomial dominates unconditioned with different parameter

answered Nov 14, 2015 at 17:39

2 votes

More precise formula for small deviations of the Wiener process

answered Aug 27, 2016 at 13:54

2 votes

How many steps do I have tto complete? Recursive sequence

answered Oct 31, 2016 at 13:30

2 votes

Accepted

CLT for Bernoulli RV with negative correlation

answered Jan 23, 2018 at 12:22

1 vote

Vanishing zeroes in matrix powers

answered Nov 29, 2016 at 15:24

1 vote

Analyzing a multiple-queue single-server model

answered May 19, 2016 at 11:30

1 vote

How to prove positive recurrence of a queue server system that stops for maintenance?

answered Mar 20, 2017 at 13:24

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41 Answers

Measure induced on [0, 1] by infinite tosses of biased coin

The mean square distance of a random walk from the origin

What are fun elementary subjects in probability?

"Surprising" examples of Markov chains

Brownian motion in $n$ dimensions

Recurrence of Poisson binomial distributed random walk

How many times does a simple symmetric random walk of length n return to the origin?

Spiral lattice random walk

Prove an anti-concentration inequality for a martingale

Proofs of main probability results from other fields

Brownian motion in $\mathbb{R}^n$, probability of hitting a set

Distribution of the area statistic for Catalan paths

Random walk visiting a cylinder infinitely often

Minimum and maximum bound on mean of product of three pairwise uncorrelated random variables

In the plane, does complement of Brownian path have infinitely many connected components?

Slight variation on law of the iterated logarithm

Dependent Bernoulli sequence for which the strong law fails to hold

Counterexample: weak convergence doesn't imply $L^1-$convergence

Edge-perspective degree distribution

Probability of covering a set

The Borel-Cantelli lemma for random walks

Is the departure process of an infinite server queue independent of the arrival process?

Hitting time of a stochastically continuous process

Conditioned binomial dominates unconditioned with different parameter

More precise formula for small deviations of the Wiener process

How many steps do I have tto complete? Recursive sequence

CLT for Bernoulli RV with negative correlation

Vanishing zeroes in matrix powers

Analyzing a multiple-queue single-server model

How to prove positive recurrence of a queue server system that stops for maintenance?