Consider a random multi-graph process \(G_{m}(t)\) constructed with the following procedure. Let \(G_{m}(1)\) be just a …
A random graph model with 2-point-concentrated diameter
Posted on Wed 23 September 2020 in math
Bak-Sneppen model
Posted on Fri 24 April 2020 in math
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)
Posted on Wed 15 April 2020 in math
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
Posted on Tue 31 March 2020 in math
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
Posted on Mon 13 May 2019 in math
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
Posted on Wed 09 January 2019 in math
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
Posted on Mon 17 December 2018 in math
We list some open problems regarding the Strahler-Horton number on random trees \(T_n\).
The moment of truncated random variables
Posted on Sat 08 December 2018 in math
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
Posted on Fri 07 December 2018 in math
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
Posted on Sun 02 December 2018 in math
Chernoff's bound is a group of quite well-known concentration-inequalities. I though I know it but last week my collage Gabriel …