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Sorry there is not a feature in Synthasite where you can make a mobile specific site.
If you use a thin style site with basic widgets etc. then it views fine on a mobile device.
The answer to your question is no, there is no easy way to make for example mobile.talker.com and have it point at mobile specific site.
The start on that long road is getting a domain name - when you publish your site see 'upgrade to your own domain' for more info on how to do this.