Consider a random multi-graph process \(G_{m}(t)\) constructed with the following procedure. Let \(G_{m}(1)\) be just a …

# Bak-Sneppen model

*I just did some simulation on Bak-Sneppen model, you can check it out at GitHub.*

# Harmonic number and Zeta functions explained in Julia (part 2)

*This is part 2 of a series explaining what is Harmonic number and it's connection with Zeta
functions. The post …*

# Online Probability and Combinatorics Seminars

In this time of Covid-19 pandemic, many seminars have been moved to online. Here are some that I know of …

# RandomTree.jl -- Simulation on large random trees with Julia

I have been working on a software package
`RandomTree.jl`

that could effectively generate pretty
large (\(10^8\) nodes) random …

# The sum of n uniform [0,1] random variables

Update: Svante Janson told me yesterday that the integral I had at the end of this post is known as …

# The Strahler-Horton number on random trees

We list some open problems regarding the Strahler-Horton number on random trees \(T_n\).

# The moment of truncated random variables

Given a random variable \(Y\), sometimes we want to compute the expectation of \(Y[Y\le a]\), where \([P]=1 …

# The Convexity Property Related to Beta Densities -- In sage

This is a continuation of my previous post on beta distribution.

My colleague Tilo wants me to use Sagemath instead …

# Another version of Chernoff's bound and a Mathematica package for it

Chernoff's bound is a group of quite well-known concentration-inequalities. I though I know it but last week my collage Gabriel …