The correlation numbers in Minimal Liouville gravity
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Title 
The correlation numbers in Minimal Liouville gravity

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Number of Parts 
12

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CC Attribution 3.0 Unported:
You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor. 
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Institut des Hautes Études Scientifiques (IHÉS)

Release Date 
2013

Language 
English

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Abstract 
The correlation numbers in Minimal Liouville gravity from Douglas string equation We continue the study of (q, p) Minimal Liouville Gravity with the help of Douglas string equation. Generalizing the earlier results we demonstrate that there exist such coordinates

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Number
Crosscorrelation
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String theory
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James Waddell Alexander II
Maxima and minima
01:16
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Partition (number theory)
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IRIST
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Maxwell's demon
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INTEGRAL
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19:01
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Number
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INTEGRAL
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Mathematics
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31:15
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Order of magnitude
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37:29
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39:08
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48:30
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53:24
Area
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00:02
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01:23
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10:12
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19:04
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31:18
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33:50
details this is the result if we you only that the final number terms which meeting here with him this duties will fall don't below hold on variables came when we'll have as their same dimensions and envisioned a massive and give a go it dimensions for forfeited neutral body able gain knowledge has this very sent the land the variables connected with all suggested that that connected by such kind this is the 1st such content and relation that in each of them in the right hand side the same scale dementia legislation sought to use some salt we knew but there is some sometimes it is but it will not affect its phenomenal flounder the reconcile and now that the storm now we'll try told her to agree to satisfy their selection rules and police it's useful tools tool the storm it's convenient to use as a fall in the following full expression for generating plant In that this approach rejects compassion connected to its solution 0 1 stock solution not think Commissioner legacy about the disposal tool operator more explicit formula which is useful present at the forum on that so we use has this connection between think commissioners instructions but connected with his analysts said a little because there aren't any ill at ideas is algebraic criminals more local pride but who is opening monolog which is connected to his new and there it is given a series of so we have I would have used this approach to measuring the in a series of medieval walls instead of people who really the news but the full magnitude of this back up here Katie's integer part poses patient users of that as when you might want to consider so deserves and you know all this said connected with criminals who hold Saudi PT not this 1 class relations would
37:33
needed and this is definitional alter rates algebra brilliantly those models with Prime primers want but I know
38:00
as tho we can define also in the finals 4 millioneuro formed on the basis of such criminals which is comes here using you the center the can introduce some regions in Union you know all rare and see 502 Gong structure constant for follow algebra beaches good which is connected to its existing believe form g the In this rule this Jones sea and from the program like legs I on and we can In New can uh with them the statement is appalled that their move them from the solution over the situation this
39:10
equation these relations we consult told to say that situation between the love between the petition function better and therefore tend to although medicines traditional the integration and control and this fall she would have to do this that the rich the obtained we get good from structure constant I will look a lot algebra we can compute the structure constantly engaged giving it is this desert and this is nascent but a fiction which share role before the shortest picture
40:16
this 1 so if you this
40:24
formal for the petition process for generating function but fewer adjustable Richardson who is this because is integral to the world and all the WiFi and this is the goal should not have to depend on the press it news that this 1 was performed traditional informed should be closed and also we should check the survival of the kind that can relations with overseas formal such defined the raises for no petition comes from and an extension of of which fulfilled we need there are 2 questions tool the doll in Torreon chipped this 1 for his calls renewed this sport recreation business about this is situated at the requirement in the testicular follows a record also although they were also there Aziz the cost relations which for now it is aegis of different people from different border which can be checked that "quotation mark and so all of which have explicit expression for partition function and we wake son some admissible a change of variables from it could do it will land and we'll find simultaneously that is there for Wallace's substitution and her coalition number step by step 1 would hope would the be point of that we consider this simple example this case where instability in fact the case many the young status of anyone on the grounds it here and take this case to him for help announces 2nd we have to go with him the latest simple forms for some form than date approaches the school there no way to use such criminals or is it when they host for its 3 from here and I didn't have the declared that only their use by Yasuo some call as enumeration of the variables to welfare can't then we should um the committee generating function for tourist numbers fills with consultancies is amounts transformation after this that's our function is to do it in front like something like the summer but he was also we label slammed serious impact rapists now and then and this has been model both on land and also all actions that would've of optional doesn't really evolved and send them away calls this but on most of which looks like this is like nothing models of that period you which creates some mentioned coupling the cosmological constant you call also is in its new measurement some and so on which Parliament this fall followed is a must for information that we should try to find them from our selection but why would have some digital switches which is eaten here sold the Canadian stage in the world told you much severe variables of such formal petitioner petition function and if there's a problem lenient exist diarrhea solution of think it's Gration because that is the reward for all functions in the good at the good will and from dimensional and
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that is a weekend understood that our Mowlam the function Egypt's 0 and he has some are below those of some or some order and then there's a of happened almost all of them and told them of room which includes the indignities of itself for respect 0 overstepped therefore it's convenient tool use said such a change of variables to the variables it's uh really get another civil lawsuit over where variables which now thought function of function the functional the good news will edict and we get 4 or 1 . 2 2 .period British number so we should get an MBA from deserve our information partition function we get go has fallen to efficient former and on In if this unplanned function and it should be because 0 but pages not 0 bands physicists do .period punch should be 0 1 came along and people who are not equal and from dimensional win all those order overseas but analysts and this 1 and this and that and then you get this book that it's simple center where we can room we arrive us Fulton statement insists that closes a requirement which will selection yields 1 would function should be because apart from such of the the rig arrive to existing statement that eagerly and Kate is nothing but the accord a policeman also the search for which is the result of some tunes as Kansas State because it has the equivalent criminals what let's see if there's 1 thing you always group the with cult yet the junta during the war in and the defined and
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redefined the corporate logos this time about you could go to prison will probably not come up with the agreement you know the magnitude of that those should be necessary for and what we put them in a Virginia us so we have to 6 states Indian for weekend deleted a day is done in 1880 and that you didn't know they were in the room which can be there use in general pixel so far this year but in mainly for the city's Leong say we could use another way of and and to Iraq it was done session ended with their I've told relatives and others on the on muttered under models connected with with the applicable most of her work this band was then we're going to the the same for for people function yeah and get them to get Ozan his announced their arms we get mostly exists for other attempts many students in all of the action but tell In all again we can use in such a way the but the indeed hold wanted at the point :colon consideration functions and then the weekend after this weekend but who can accomplish just that compare their results for the mission a carrot in front it will get this fall 4 3 .period functions lays people and can function In this case would have this for all 4 from amenable Nunavut approach then we can get a formal for the part of the same we get the same form for in this approach the US approach that they're doing the same for for full function and we get
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some but some very simple explicit form all issues that here for fourpoint functions and to win again the inside but in case I had to do with this the result was that it will comply with the addition of the knowledge of mine and at last weekend but from a late is a general result for this serious impediments in the form of a language news under prolonged by it is conjectural conjectural statement a partition function you for this serious is using equal this integral AEK's star is the solution for all these years rubles overseas will 6 billion model and even is this city's Eureka lose on the prolonged this order different vacant and like this 1 that can be used as a fanciful it be interested to talk on the brothers for Wisconsin came in with a simple man and focus to community changed there the same can be and partly repeat therefore was the next sitting there with him but due to a connection was from structured this all for on the full hour generates and fountains and again we arrived but the following results the 2 of computer that I want and pool the point was I wanted to work at later so we can can choose special rate but most of money that the it isn't change for this order and it is a about and you the it's done is performance in terms of a game off your quadrupled among them even in the case of the young case as serious it was the intent of
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Brussels models of in the next game is at this point but but but that's about it and some but enter from the the for example .period with look
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at how many of the cases went on the the important thing collectors some they are not equal 0 can Canada's after which inside the must the petition but that some Balkan promoted to keep up with the weather revisions that someone might have questioned the longer all of the following features of Englishmen and these units had contracted with I'm not in conformity with the list problems related to the outstanding areas until Sunday the meeting was held on the formation of a manufacturing then company credit the foundation's become engaged artists of all that's not the answer and went on to grow time related that it should be willing to some kind of biological thing you cemented the handful that was installed at the age of the English gentleman is simplicity itself was 1 you although it doesn't make any sense None must accept that this communities that I think it should because of the use of the government and the simple I started some time trial and the only thing that failed in the coming view you something you want to the question is what proportion of possible psychologically because this is of to be appropriate new client global also I uh I'm we we conceded he bonded with simple simplest emotions in his new and among the this that the withdrawal of mortgages this more as