The IPO market has been pretty slow for the past two years due to the effects of a subprime mortgage crisis that turned into a credit crisis that turned into a worldwide financial crisis and recession. Nonetheless, two companies made their debuts Thursday -- one on the NYSE (NYSE: NYX), the other on the NASDAQ -- and they nailed it. Hyatt Hotels (NYSE: H) gave its investors a 12% gain on its first Big Board trading day, and Ancestry.com (NASDAQ: ACOM) switched those digits, jumping 21% in its first day of trading.

Hyatt Hotels overcame two major concerns. The worldwide travel market slump has been tough on hotel companies, and Hyatt has been subject to the same forces as everyone else. Also, investors may have been worried about infighting among the founder's heirs (the Pritzker family), but the double-digit price increase suggests that investors don't foresee Bancroft-style squabbles screwing investors -- or, if you don't like Dow Jones, now a part of News Corp (NASDAQ: NWS), Playboy (NYSE: PLA) makes the same point.

What has Blackstone (NYSE: BX) been doing with all those theme parks it's been buying? Well, the answer is becoming a bit clearer now. The private equity firm is getting ready to take theme park operator Merlin Entertainments public early next year.

Several investment banks have already been called to advise on the transaction, including Citigroup (NYSE: C), Goldman Sachs (NYSE: GS), Deutsche Bank (NYSE: DB), UBS (NYSE: UBS), and Nomura (NYSE: NMR). If all goes as planned, the deal could be good for $3.33 billion.

When you smell an IPO coming, look for Kleiner Perkins Caufield and Byers. The Sand Hill Road institution has a knack for sniffing out high-potential deals and putting its venture capital coffers to work. Mobile phone music discovery service Shazam could have a liquidity event coming, according to the Financial Times, which caught Kleiner Perkins' attention. So, the VC company has decided to take a stake in Shazam.

Up until the credit crisis, private equity firms had it made. They had plenty of leverage to play with and could load up their acquisition targets with it. So, they could realize a fantastic return on equity, mitigate their own risks, and show that they were the studs of the Street.

Then, all that went away. Credit markets dried up, and private equity companies lost their acquisition fuel. The numbers aren't as big as they used to be, but it looks like the private equity market is back in action.

The private equity industry has been through the worst, but now it seems the situation is taking a turn for the better. Stephen Schwarzman, CEO of Blackstone (NYSE: BX) expects deal flow and IPOs to bounce, saying the economy is showing "more than green shoots" of recovery.

Schwarzman, speaking at the Super Return Middle East conference in Dubai, doesn't expect another slip into recession, but the full recovery will take time, for all the same reasons you've been reading on BloggingStocks for a while: tighter lending standards; uncooperative consumers who won't spend beyond their means and so on.

The Blackstone Group (NYSE: BX - option chain) shares are rising today on reports that the buy-out firm is planning to unload a number of its portfolio companies, including TeamHealth, which provides outsourcing services for the health-care industry, and Merlin Entertainments Group, of Europe, which owns Legoland and Sea Life. Up to eight IPOs and five sales to private equity companies are in the works. If you think that the stock won't fall by too much in the coming months, then now could be a good time to look at a bullish hedged trade on BX.

Blackstone opened Monday at $15.50. In morning trading the stock hit a low of $15.50 and a high of $16.18. As of 11:15, BX was trading at $15.79 up 0.94 (6.3%). The chart for BX looks bullish.

In the U.S., the outsourced healthcare professional staffing market is about $50 billion. And, it is likely to grow because of the complexity of regulations and cost pressures.

One of the largest outsources in the market is Team Health Holdings, which generated $1.33 billion in revenues last year. In fact, this week the company filed to go public.

Newegg, which is an electronics e-commerce site, got its start back in 2001, when the dot-com industry turned into a dot-bomb disaster. But the timing was brilliant as the company built a thriving business.

In fact, Newegg thinks the timing is also right for an IPO, which the company filed for this week.

Twitter's much-hyped $100 million round of financing closed Friday, cementing the company's (illiquid) value at $1 billion, though Twitter itself would not confirm the amount. T. Rowe Price and Insight Venture Partners participated in the deal, as expected, which is believed to be a precursor to an eventual liquidity event -- such as an IPO or acquisition.

In a way, it feels like 1999, where you have investors rushing to invest in high-profile companies, despite the absence of revenue models. Yet, Twitter may not be as bad off as the traditional folks think, especially if the goal is an acquisition. The company does say that it's pursuing revenue via corporate accounts. But, it's been saying this for a while, and we haven't seen anything yet. Also, it's leaving open the possibility of running ads on the site, though this wouldn't happen within the next three months.