Below is the code to display a custom favicon on your site - http://my.studiopress.com/snippets/images/
/**
* Add Favicon
*
* @author Bill Erickson
* @link http://www.billerickson.net/code/multiple-sizes-favicon/
*/
function be_favicon() {
echo '<link rel="icon" href="' . get_stylesheet_directory_uri() . '/images/favicon-152.png">';
echo '<!--[if IE]><link rel="shortcut icon" href="' . get_stylesheet_directory_uri() . '/images/favicon.ico"><![endif]-->';
}
add_action( 'wp_head', 'be_favicon' );
remove_action( 'wp_head', 'genesis_load_favicon' );
<?php
//* Do NOT include the opening php tag shown above. Copy the code shown below.
//* Display a custom favicon
add_filter( 'genesis_pre_load_favicon', 'sp_favicon_filter' );
function sp_favicon_filter( $favicon_url ) {
return 'http://www.mydomain.com/wp-content/themes/genesis/images/favicon.ico';
}