Please take a good look here: http://jquerymobile.com/test/docs/api/methods.html
$.mobile.changePage() is to change from one page to another, and the parameter can be a url or a page object. ( only #result will also work )
$.mobile.page() isn't recommended anymore, please use .trigger( "create"), see also: JQuery Mobile .page() function causes infinite loop?
Important: Create vs. refresh: An important distinction
Note that there is an important difference between the create event and refresh method that some widgets have. The create event is suited for enhancing raw markup that contains one or more widgets. The refresh method that some widgets have should be used on existing (already enhanced) widgets that have been manipulated programmatically and need the UI be updated to match.
For example, if you had a page where you dynamically appended a new unordered list with data-role=listview attribute after page creation, triggering create on a parent element of that list would transform it into a listview styled widget. If more list items were then programmatically added, calling the listview’s refresh method would update just those new list items to the enhanced state and leave the existing list items untouched.
$.mobile.refresh() doesn't exist i guess
So what are you using for your results? A listview? Then you can update it by doing:
$('ul').listview('refresh');
Example: http://operationmobile.com/dont-forget-to-call-refresh-when-adding-items-to-your-jquery-mobile-list/
Otherwise you can do:
$('#result').live("pageinit", function(){ // or pageshow
// your dom manipulations here
});