The notion of conductance, a measure of bottlenecks in a Markov chain,
is one of the fundamental tools in studying mixing times. In this talk
we remedy several shortcomings of conductance bounds by showing sharp
mixing times theorems in terms of modified conductance, an extension
to general (non-lazy non-reversible) Markov chains, and propose an
alternate measure of bottlenecks which often eliminates an unnecessary
squaring in conductance bounds. Sharp Cheeger inequalities and
canonical path results also follow and will be discussed briefly. Our
results are based on an extension and sharpening of Evolving Set ideas
of Morris and Peres.

Lecture #10813

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.

• 10813-10813-QuickTime.mov (513 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.

• 10813-10813-MPEG-1 DVD.mpg (669 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

• 10813-10813-DVD PCM Audio.aiff (489 MB - Audio Only)
• 10813-10813-MPEG-2 120min High Quality Encode.m2v (1115 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.