The random walk theorem, first presented by French mathematician Louis Bachelier in 1900 and then expanded upon by economist Burton Malkiel in his 1973 book A Random Walk Down Wall Street, asserts ...

The dynamics of many natural and artificial systems are well described as random walks on a network: the stochastic behaviour of molecules, traffic patterns on the internet, fluctuations in stock ...

In a one-dimensional random walk, a “walker” is confined to a long, narrow path and moves forward or backward in steps according to the results of repeatedly tossing a coin. The walker takes a step in ...

An interesting paper making the point that you can too forecast foreign exchange rates. Not, of course, at the hour to hour level where people speculate at leverage of 500:1, but over longer time ...

This is a preview. Log in through your library . Abstract Random walks are a fundamental model in applied mathematics and are a common example of a Markov chain. The limiting stationary distribution ...

We've gotten really good at generating big datasets. From what we search for on Google to all the stuff we do on Facebook, we generate a lot of data. And there have in turn been a proliferation of ...

Walk on the quantum side: caesium atom in a superposition Is there a limit on how large a quantum superposition can be or can macroscopic objects, such as humans or say cats, also exist in a ...

Researchers have uncovered deep connections among different types of random objects, illuminating hidden geometric structures. These are not the kinds of objects that concern Scott Sheffield.