Break-in last week

Last Thursday (Nov 6) -- sometime during the day/early evening -- someone broke into our apartment (a block off Smith). The deadbolt was locked, they kicked in the apartment door (we're on the third floor of a brownstone). The front door of the building wasn't damaged -- the downstairs neighbor often leaves the front door unlocked; it is a frequent problem which we've had little success at rectifiying, but hopefully this incident will be a motivation to be more careful with security.

Very few things were taken; it appears that the thief just took what was easy to slip into pockets.

I'm posting this now for a couple of reasons: First, with the long-shot hope that someone will recognize the two most important items that were taken (a ring that had belonged to my grandmother, and one which belonged to my great-grandmother). One was a gold band with three small inset diamonds, the other was a gold band with a large oval garnet, surrounded by several small garnets. These mean a lot to me personally, and I would obviously offer a reward to get them returned.

Second, I'm posting this to see if anyone in the neighborhood has had anything similar happen to them recently. Everything about this break-in was weird (our third-floor apartment being targeted, but not the neighbor's; the daytime break-in; the small amount of things taken; etc.). It doesn't add up, and I'm wondering if anyone recognizes a pattern?

The cops were very responsive, but there's not much they can do in this situation.

Thanks.