LEADER 02395nam 2200577 450 001 9910794003003321 005 20201010083550.0 010 $a1-4704-6146-3 035 $a(CKB)4100000011309202 035 $a(MiAaPQ)EBC6229935 035 $a(RPAM)21601799 035 $a(PPN)250767678 035 $a(EXLCZ)994100000011309202 100 $a20201010d2020 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe mother body phase transition in the normal matrix model /$fPavel M. Bleher, Guilherme L. F. Silva 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2020. 215 $a1 online resource (156 pages) 225 1 $aMemoirs of the American Mathematical Society ;$vNumber 1289 300 $a"May 2020, volume 265, number 1289 (sixth of 7 numbers)." 311 $a1-4704-4184-5 320 $aIncludes bibliographical references. 327 $aStatement of main results -- Limiting boundary of eigenvalues. Proofs of propositions 2.1 and 2.7 and theorems 2.2, 2.5 and 2.8 -- Geometry of the spectral curve. Proof of theorem 2.6 -- Meromorphic quadratic differential on R -- Proofs of theorems 2.3, 2.4, 2.9 and 2.10 -- Riemann-Hilbert analysis in the three-cut case -- Riemann-Hilbert analysis in the one-cut case -- Construction of the global parametrix -- Proofs of theorems 2.14 and 2.15. 410 0$aMemoirs of the American Mathematical Society ;$vNumber 1289. 606 $aMatrices$xNorms 606 $aRandom matrices 606 $aPhase transformations (Statistical physics) 606 $aFunctions, Meromorphic 606 $aRiemann-Hilbert problems 606 $aIntegral transforms 615 0$aMatrices$xNorms. 615 0$aRandom matrices. 615 0$aPhase transformations (Statistical physics) 615 0$aFunctions, Meromorphic. 615 0$aRiemann-Hilbert problems. 615 0$aIntegral transforms. 676 $a512.9/434 686 $a60B20$a30C99$a30Exx$a30F30$a31A15$a44A60$2msc 700 $aBleher$b Pavel$f1947-$01478640 702 $aSilva$b Guilherme L. F. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910794003003321 996 $aThe mother body phase transition in the normal matrix model$93694403 997 $aUNINA