03652cam  22005418i 450000100090000000300050000900500170001400600190003100700150005000800410006502000270010604000350013305000220016808200180019008400500020810000350025824501310029326300090042426400610043330000340049433600260052833700280055433800270058249000740060950000620068350400410074550506170078650600500140353300950145353800360154858800470158465000210163165000210165265000480167365000280172165000300174965000250177965002100180465001520201465001390216665001380230565001800244365002100262370000370283377601470287085600450301785600480306221601799RPAM20200923155858.0m      b    000 0 cr/|||||||||||200923s2020    riu     ob    000 0 eng    a9781470461461 (online)  aLBSOR/DLCbengerdacDLCdRPAM00aQA188b.B486 202000a512.9/434223  a60B20a30C99a30Exxa30F30a31A15a44A602msc1 aBleher, Pavel,d1947-eauthor.14aThe mother body phase transition in the normal matrix model /h[electronic resource] cPavel M. Bleher, Guilherme L. F. Silva.  a2010 1aProvidence, RI :bAmerican Mathematical Society,c[2020]  a1 online resource (pages cm.)  atextbtxt2rdacontent  aunmediatedbn2rdamedia  avolumebnc2rdacarrier0 aMemoirs of the American Mathematical Society, x1947-6221 ; vv. 1289  a"May 2020, volume 265, number 1289 (sixth of 7 numbers)."  aIncludes bibliographical references.00tChapter 1. IntroductiontChapter 2. Statement of main resultstChapter 3. Limiting boundary of eigenvalues. Proofs of Propositions 2.1 and 2.7 and Theorems 2.2, 2.5 and 2.8tChapter 4. Geometry of the spectral curve. Proof of Theorem 2.6tChapter 5. Meromorphic quadratic differential on $\mathcal R$tChapter 6. Proofs of Theorems 2.3, 2.4, 2.9 and 2.10tChapter 7. Riemann-Hilbert analysis in the three-cut casetChapter 8. Riemann-Hilbert analysis in the one-cut casetChapter 9. Construction of the global parametrixtChapter 10. Proofs of Theorems 2.14 and 2.15tAppendix A. Analysis of the width parameters1 aAccess is restricted to licensed institutions  aElectronic reproduction.bProvidence, Rhode Island :cAmerican Mathematical Society.d2020  aMode of access : World Wide Web  aDescription based on print version record. 0aMatricesxNorms. 0aRandom matrices. 0aPhase transformations (Statistical physics) 0aFunctions, Meromorphic. 0aRiemann-Hilbert problems. 0aIntegral transforms. 7aProbability theory and stochastic processes {For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX} -- Probability theory on algebraic and topological structures -- Random m2msc 7aFunctions of a complex variable {For analysis on manifolds, see 58-XX} -- Geometric function theory -- None of the above, but in this section.2msc 7aFunctions of a complex variable {For analysis on manifolds, see 58-XX} -- Miscellaneous topics of analysis in the complex domain.2msc 7aFunctions of a complex variable {For analysis on manifolds, see 58-XX} -- Riemann surfaces -- Differentials on Riemann surfaces.2msc 7aPotential theory {For probabilistic potential theory, see 60J45} -- Two-dimensional theory -- Potentials and capacity, harmonic measure, extremal length [See also 30C85].2msc 7aIntegral transforms, operational calculus {For fractional derivatives and integrals, see 26A33. For Fourier transforms, see 42A38, 42B10. For integral transforms in distribution spaces, see 46F12. For2msc1 aSilva, Guilherme L. F.,eauthor.0 iPrint version: aBleher, Pavel, 1947-tmother body phase transition in the normal matrix model /w(DLC)   2020023546x0065-9266z97814704418454 3Contentsuhttps://www.ams.org/memo/1289/4 3Contentsuhttps://doi.org/10.1090/memo/1289