It assumes the expectation of the random field to be known, and relies on a covariance function.

We can define a continuous random field well enough as a linear map from a space of functions into the real numbers.

This is an example of a covariance structure, many different types of which may be modeled in a random field.

Such a random field indeed exists, and its distribution is unique.

It was setting down a random field of fire, not even coming close to the boulders we were hiding behind.

As a scientist, Yadrenko is known for his works on the theory of random fields and their statistical analysis.

The values taken by depend on the mathematical space over which the random field varies.

Random variables corresponding to various times (or points, in the case of random fields) may be completely different.

It is also studied in statistical mechanics in the context of random fields.

What follows is a formal definition for the special case of a random field on a group lattice.