Well, I don’t see any usable reference here unfortunately. But, I was able to see the problem on my iPad, since I’m on a windows machine.
This is going to be a theme or plugin conflict, since it’s not happening on the demo page.
I tried to disable some of the javascript files to load via the plugin manager, but that didn’t help I think.
The resize issue was only happening on the front page of the site on my iPad, can you confirm that?
Unfortunately I can’t access the javascript files for debugging via the plugin manager, only the php files. If you want, you can provide ftp access and I can try to investigate further on this, but I can’t promise I find the source of the problem, since this is most likely related to other plugins as well.