Imaging geometry through dynamics: the observable representation

Details Imaging geometry through dynamics: the observable representation Imaging geometry through dynamics: the observable representation

2006-07-17

arxiv.org/abs/cond-mat/0607422v1

J. Phys. A: Math. Gen. 39 10307-10321 (2006)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1088/0305-4470/39/33/004

For many stochastic processes there is an underlying coordinate space, $V$, with the process moving from point to point in $V$ or on variables (such as spin configurations) defined with respect to $V$. There is a matrix of transition probabilities (whether between points in $V$ or between variables defined on $V$) and we focus on its ``slow'' eigenvectors, those with eigenvalues closest to that of the stationary eigenvector. These eigenvectors are the ``observables,'' and they can be used to recover geometrical features of $V$.

Affiliated with

Also associated with

No associations

Rating

Imaging geometry through dynamics: the observable representation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Imaging geometry through dynamics: the observable representation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Imaging geometry through dynamics: the observable representation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-506856