I talked to a number of those who write regularly and most of them popped over to his blog, read some of the entries and now they're following him.
That's one great way to bring attention to your blog: go visit others and leave comments. Chances are if you aren't blatant and openly self-serving and leave an insightful comment, they'll go check you out and maybe write about your blog.
You don't necessarily even have to leave a link to your blog if you're on blogger. If you're signed into your blog when you go blog jumping, the "from" will link to your account as long as you don't go with the "anonymous" option if offered.
Grace Explosion is great about visiting other blogs and leaving excellent comments. Guess what? I follow her on all my personal blogs.
Another way to bring attention to your blog is to grab a headline link and snippet from the blogs you like to share with your readers. You'd be surprised at how many people have Google alerts set up on their blog title, or have similar ways of discovering where their blog is being posted. As long as you're making sure not to step on toes (by reprinting the entire blog without permission), you'll often draw the owner of the blog to yours. Oftentimes they'll follow or subscribe if they like your content.
The blogging community is growing and there are a lot of excellent writers out there. Supporting the blogs you like is a win-win proposition. You'll both attract more readers and regular followers.
Those are just two ways to attract readers. There are many, many more. Good tag words, networking, feeding to Twitter and Facebook are other easy ways to draw attention to your blog. I'll try and highlight some more off and on. If you have any suggestions, send 'em my way and I'll share them with a link to your blog.
http://caffeinatedthoughts.com - Caffienated Thoughts
http://sarahpalindeservesourvote.blogspot.com/ - Go Sarah!
http://thecominggreatdepression.blogspot.com/ - The Coming Great Depression