Welcome to “The Fixed Point”

My old blog “Thoughts on science and life” has now successfully been moved to this new location (which has existed for quite some time now, but more or less inactive).

What is a fixed point? In mathematics, a fixed point can loosely be defined as follows. Imagine that there is a map f defined on a space V,

f: V –> V

Then x in V is a “fixed point” of f if, and only if,

f(x) = x.

Such fixed points occur in many different places, which I will talk more about later. One example is in the Ricci flows on Riemannian manifolds, which I’ve written about here. Another one is in renormalization group flows.

For a short introduction to fixed points (in mathematics), see the following article [wikipedia].

(Note: the name, “The Fixed Point”, and the address fixedpoint.wordpress.com was registered and made public at WordPress in August, 2006)