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101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 12$aA random tiling model for two dimensional electrostatics /$fMihai Ciucu
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2005]
210  4$dİ2005
215   $a1 online resource (162 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 839
300   $a"Volume 178, number 839 (third of 5 numbers)."
311   $a0-8218-3794-X 
320   $aIncludes bibliographical references (page 144).
327   $a""Contents""; ""Abstract""; ""Part A. A Random Tiling Model for Two Dimensional Electrostatics""; ""1. Introduction""; ""2. Definitions, statement of results and physical interpretation""; ""3. Reduction to boundary-influenced correlations""; ""4. A simple product formula for correlations along the boundary""; ""5. A (2m+2n)-fold sum for I??[sub(b)]""; ""6. Separation of the (2m+2n)-fold sum for I??[sub(b)] in terms of 4mn-fold integrals""; ""7. The asymptotics of the T[sup((n))]'s and T'[sup((n))]'s""; ""8. Replacement of the T[sup((k))]'s and T'[sup((k))]'s by their asymptotics""
327   $a""9. Proof of Proposition 7.2""""10. The asymptotics of a multidimensional Laplace integral""; ""11. The asymptotics of I??[sub(b)]. Proof of Theorem 2.2""; ""12. Another simple product formula for correlations along the boundary""; ""13. The asymptotics of I??[sub(b)]. Proof of Theorem 2.1""; ""14. A conjectured general two dimensional Superposition Principle""; ""15. Three dimensions and concluding remarks""; ""Bibliography""; ""Part B. Plane Partitions I: A Generalization of MacMahon's Formula""; ""1. Introduction""; ""2. Two families of regions""
327   $a""3. Reduction to simply-connected regions""""4. Recurrences for M(R[sub(1,q)](x)) and M(R[sub(1,q)](x))""; ""5. Proof of Proposition 2.1""; ""6. The guessing of M(R[sub(1,q)](x)) and M(R[sub(1,q)](x))""; ""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vno. 839.
606   $aTiling (Mathematics)
606   $aElectrostatics
606   $aStatistical mechanics
608   $aElectronic books.
615  0$aTiling (Mathematics)
615  0$aElectrostatics.
615  0$aStatistical mechanics.
676   $a510 s
676   $a537/.2
700   $aCiucu$b Mihai$f1968-$0938052
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910481016003321
996   $aA random tiling model for two dimensional electrostatics$92273279
997   $aUNINA