2018

2017

• The preprint is available on arXiv:1708.09360.

• This is a joint work with Alexander Kiselev.
• The preprint is available on arXiv:1707.07296.

• This is a joint work with Alina Chertock and Bokai Yan.
• The preprint is available on arXiv:1706.09568.

• This is a joint work with Tam Do, Alexander Kiselev and Lenya Ryzhik.
• The preprint is available on  arXiv:1701.05155.
• It has been published in Archive for Rational Mechanics and Analysis doi:10.1007/s00205-017-1184-2.

This is a supplementary notes for MATH211 ODE and Linear Algebra.

When I tried to manually adjust the axis limits of a graph, Matlab will automatically cut off the part of the graph that is beyond the axis limits. This didn't happen before (and before means 2014a or earlier versions). I took a little while to find the cure. Just try the following scripts. 

ax = gca;
ax.Clipping = 'off';

Here is the steps to change default mail app in OS X:

1. Open Mail app.
2. Select Preferences -> General. Under "Default email reader", select your preferred mail app.

I am running into a problem by following the steps: the default email reader changes back to the original mail app seconds after I made the change. Here is the solution that works for me. Open terminal. Copy and paste the following script.

/System/Library/Frameworks/CoreServices.framework/Versions/A/Frameworks/LaunchServices.framework/Versions/A/Support/lsregister -kill -r -all local,system,user

Then try step 1-2 again, and it won't change back again!

• This is a joint work with Alexander Kiselev.
• The preprint is available on arXiv:1609.02468.
• It has been published in Advances in Mathematics doi:10.1016/j.aim.2017.11.019.