Google’s dominance in desktop search is transferring nicely to cell phones, according to new statistics from Nielsen Mobile.  In fact, an almost complete sameness has been achieved.

The mobile market looked wide open for a while; Google, Yahoo, and even AOL appeared to have more or less equal changes of success.  Unfortunately for those last two companies, Google cornered a market share of 61 percent during the first three months of this year.

Yahoo trailed behind with 18 percent, and MSN snagged five percent.  Compare this Nielsen Mobile data to the most recent report from Nielsen Online – the same entities scored 62, 17.5, and 9.7 percent, respectively – and it’s almost enough to make you think some corporate email addresses got crossed.

Whereas Google’s place on large computers seems pretty much cemented, though, it remains possible that it’ll be fall behind with mobile users.  Nielsen Mobile reports, "44% of Google users rate their satisfaction with mobile Internet search between 8 to 10 on a 10-point scale, compared to 40% of Yahoo! searchers."

So a whole lot of people are still waiting for a mobile search engine that scores an eight or better in terms of satisfaction.