Galaxies and structured universe evolve. So, active galactic nuclei evolve as well, and in ways that are actually very interesting. At first, it was hard to figure out how does that happen because the luminosity function of quasars, at least then is brightened, it's, is well-represented as a parallel. So, if you plot log of the number of quasars per unit volume, unit luminosity versus log of the luminosity, a parallel looks like a straight line. Then, you can compare luminosity functions to different spreadsheets and you still see a straight line. Now, the question is, how did it get to be that way? If that quasar numbers evolve, that means the, that luminosity function goes up and down. If the luminosities evolve, it goes left to right, but you can't tell without any features. And so, for a long time, it wasn't clear whether it was a density evolution or a luminosity evolution. All we knew that there were many more quasars at large redshifts than there here now. The, the,[UNKNOWN] was broken once the observations got to be deep enough so we can see that there is actually a feature and luminosity function is not a pure parallel. And here it is, how it looks like. The truth is the combination of both. There were more quasars back then, but they also tended to be more luminous, and you can think of it as, in a sense of, well, there are things back then that are not here now, but quasars are not so much objects as events, as phases of evolution in general behavior of supermassive black holes. We think that any galaxy with a massive black hole in the middle can go through multiple episodes of quasar-like activity. And so, those were more frequent in the past, and they're also more luminous. And so, this is now reasonably well-understood and we can integrate the number of quasars attending even redshift and see how that whole thing changes as a function of time. And the result is something like this. As we look from here now and go to higher redshifts, the numbers increased. The comoving number density of quasars over all luminosities goes through a broad maximum round redshifts 2 to 3, and then past about redshift of 4 declines again. Now, if you flip this, and think in terms of cosmic time, this makes a perfectly good sense. At first, there is nothing. You have to start building them up and fueling through, say, merging of galaxies, that activity reaches a peak some, somewhere between[UNKNOWN] one and few gigayears and that's the peak of the quasar era. And then, it declines because the galaxy encounters are not as frequent as the universe expands, and there is less gas to be used to fuel them. So, we think, we have a reasonably good understanding of the picture. You may recall that history of cosmic star formation, is something like that, not exactly the same, but qualitative, qualitatively very similar. Another way to look at this, is through radio sources. The radio sources we believe are largely powered by supermassive black holes, but not always. And if you look at luminosity function of radio sources and then get the redshifts and understands where they are, you'll find there are really two components. On the bright end, most of the luminous radio sources are powered by the creation to supermassive black holes. On the faint end, actually, they're dominated by star formation. Star formation can produce radio emission through supernova remnants and such and so then those two will evolve differently depending on the history of star formation versus history of active nuclei. They're correlated but not perfectly. And indeed, the, as far as the active nuclei are concerned in radio, they do evolve very much in the same way as quasars. Since the beginnings of radio astronomy, astronomers counted radio sources as a function of flux. And this was essentially a form of cosmological number density test but since they're evolved rapidly it is, it was difficult to derive any cosmological conclusions aside from disproving steady state cosmology. And now, this actually is done in detail but we're measuring those redshifts as well. Another question is, are quasars clustered, just like galaxies are clustered? And the answer is yes. Obviously, it has to be. Not only are they clustering in a similar way as galaxies, or rather groups or faint of small clusters of galaxies, but that's very small separations, their clustering is even stronger and there are many cases of binary quasars, now actually two physically quasars orbiting each other just like binary stars and their numbers seem to be increasing as the separation gets closer then say about 100 kiloparsecs, which is where galaxian halos begin to merge, in other words, when galaxy merging really begins. So, the quasars are fueled by galaxy interactions, this is perfectly understandable. There is also a couple of cases of triple quasars known. And if the quasars were following clustering galaxies exactly, this will be essentially impossible to achieve because quasars are rare, we have two quasars, together, will be even more rare, we have three, an even more rare. But if the proximity is correlated with the onset of QSO activity, say because of [unknown] merging, then you will see cases like this and that's exactly what's observed. What about properties of individual quasars? Well, we have their spectra and as far as we can tell, they do not evolve very much at all. It seems the highest redshifts, we find them beyond redshift of 6 to the present day. There is changing spectrum due to the intergalactic absorption by hydrogen as you will recall. But aside from that, as far as we can tell, there is very little evolution if any. So, quasar phenomenon itself is always the same. The occurrence of the phenomenon changes in time but what happens in the central engine remains more or less the same. We can infer masses of supermassive black holes, the power quasars from their spectra and plot that as a function of redshift. Since the masses are correlated with luminosities of high redshifts, we only see the most massive ones. And here is an interesting plot that shows log of the mass of central engine versus redshift. At lower redshifts, we probe to lower luminosities and there is a big spread and as we go to higher redshifts, we can only see high mass end. But what's really interesting is that even to the largest redshifts we probe, there are quasars powered by massive black holes that go out to 10 billion solar masses, which is remarkable. Assembling 10 billion solar masses in a volume smaller than a solar system is not an easy thing, and at redshift, say, of 6 or there abouts, we only had one billion years to do it. So, that posed little bit of a problem. How do you effectively make such massive black holes so quickly? We will talk a little more about this in the next module. Another interesting thing is that we can use the spectra of quasars to infer metallicities of the gas around. And that, of course, is a product of a chemical evolution. The metals are being cooked up in stars, their exploded supernovae, and so on. And it turns out that even to most distant quasars known, have very high abundances of heavy elements like carbon and oxygen and so on. This is also confirmed through detections of molecular gas around these high redshift quasars. And, in fact, not only do they have these really massive black holes, but they also have metallicities exceeding solar metallicity. We can plot metallicity of quasars or other broad line regions around central engines as a function of redshift and you find that they can be even ten times more metal-rich then sun. Normally, this would require a lot of chemical evolution to happen. So, what this means is in the cores of host galaxies of quasars, there was already a great deal of star formation and chemical enrichment history. And not only that, but those metals have been retained, they were not expelled by supernova-driven weights. So, what this immediately implies is that quasars at very high redshift occur in deep potential wells and the places where we know such things can happen are cores of the most massive elliptical galaxies today. So, that probably signifies that that's where they're originating. They're coforming with the most massive galaxies. A, a somewhat more subtle effect is that the abundance patterns are slightly different. The abundances of heavy elements found depend on the type of supernovae. You may remember the type 1, supernovae are detonating light burst. Type 2 are really massive stars. And the abundance pattern for quasars is more characteristic of type 1 supernovae and so that means systems that give them rise, detonating, accreting light burst must have formed even earlier. So, the star formation in these objects must have started at the largest redshift we can, higher than our redshift of 10.