We illustrate some analytic tools for the determination of sharp
spectral gap estimates, including an extension of the
Carlen-Carvalho-Loss approach and some improved comparison
techniques. We discuss applications to a variety of Markov chains
based on local shuffling rules (such as random local averages,
transpositions or inversions). The approach depends mildly on the
nature of the shuffling rules and is well suited to treat discrete as
well as continuous models.

Lecture #10798

Need help? Visit our help pages at http://www.msri.org/communications/vmath/hints

Streaming Video

This is a high quality streaming video encoded with MPEG-4 and with 640x480 resolution.

Windows and Mac users, QuickTime 6.5 or later required
Linux users, please see our Linux Help Page on how to view our streaming videos

Follow this link to --- Watch the Video Now Via Streaming Video ---

Download QuickTime File

You can download the QuickTime file here. Right click on the link and "Save As..." to save to your local computer.

• 10798-10798-QuickTime.mov (648 MB)

Download MPEG File

You can download the MPEG file here. Right click on the link and "Save As..." to save to your local computer.

• 10798-10798-MPEG-1 DVD.mpg (753 MB)

Create a DVD

You can download the video and audio files here. Please note that you need both files to create a DVD. Right click on the link and "Save As..." to save to your local computer. You can find instructions on how to create a DVD on our help page at http://www.msri.org/communications/vmath/author

• 10798-10798-DVD PCM Audio.aiff (551 MB - Audio Only)
• 10798-10798-MPEG-2 120min High Quality Encode.m2v (1254 MB - Video Only)

Buy the DVD

If none of the options work for you, you can always buy the DVD of this lecture.

If you would like to purchase a copy of this video for $15+shipping, please Click Here!

See more of our Streaming Videos on our main VMath - Streaming Video page.