#### John Baez

## Probabilities Versus Amplitudes

Some ideas from quantum theory are just beginning to percolate back to
classical probability theory. For example, there is a widely used and
successful theory of "chemical reaction networks", which describes the
interactions of molecules in a stochastic rather than quantum way. If
we look at it from the perspective of quantum theory, this turns out
to involve creation and annihilation operators, coherent states and
other well-known ideas — but with a few big differences. The
stochastic analogue of quantum field theory is also used in population
biology, and here the connection is well-known. But what does it mean
to treat wolves as identical bosons?

To see the slides of this talk, click here.

For a more advanced version that assumes you know about chemical
reaction networks, click here.

To discuss this talk or ask questions, go here.

For more details, go here.

© 2011 John Baez

baez@math.removethis.ucr.andthis.edu