Evolution, Dynamical Systems and Markov Chains

In this post we present a high level introduction to evolution and to how we can use mathematical tools such as dynamical systems and Markov chains to model it. Questions about evolution then translate to questions about dynamical systems and Markov chains – some are easy to answer while others point to gaping holes in current techniques in algorithms and optimization.

Stochastic Supertasks

Supertasks allow you to accomplish an infinite number of tasks in a finite amount of time. Find out how these paradoxical feats get even stranger once randomness is introduced. What happens when you try to empty an urn full of infinite balls? It turns out that whether the vase is empty or full at the end of an infinite amount of time depends on what order you try to empty it in.

Psychokinetically Picking Your Path

A request I see a lot of people ask online a lot are things they can try with psychokinesis. In most places, this question tends to go unanswered where people inexperienced with psychokinesis will shift the conversation to an irrelevant topic that has nothing to do with psychokinesis. This article is about a simple and fun psychokinetic exercise that can be expanded into more advanced techniques and teaches manipulation of complex things. Instead of going in-depth on what random walks are, I am going to include a few useful videos made by people more qualified to explain it than me Read More

What is a Random Walk?

Random Walks are used in finance, computer science, psychology, biology and dozens of other scientific fields. They’re one of the most frequently used mathematical processes. So exactly what are Random Walks and how do they work?

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