02182nam 2200553 450 991079526210332120200106142600.01-4704-5414-9(CKB)4940000000158630(MiAaPQ)EBC5990829(Au-PeEL)EBL5990829(OCoLC)1141518557(RPAM)21595818(PPN)242521142(EXLCZ)99494000000015863020200106h20192019 uy| 0engurcnu||||||||rdacontentrdamediardacarrierQuadratic vector equations on complex upper half-plane /Oskari Heikki Ajanki, Laszlo Erdos, Torben KrugerProvidence, RI :American Mathematical Society,[2019]20191 online resource (146 pages) color illustrationsMemoirs of the American Mathematical Society,0065-9266 ;September 2019, volume 261, number 1261"September 2019, volume 261, number 1261 (fifth of 7 numbers)."1-4704-3683-3 Includes bibliographical references.Set-up and main results -- Local laws for large random matrices -- Existence, uniqueness and L²-bound -- Properties of solution -- Uniform bounds -- Regularity of solution -- Perturbations when generating density is small -- Behavior of generating density where it is small -- Stability around small minima of generating density.Memoirs of the American Mathematical Society ;vol. 261, no. 1261.Differential equationsNumerical solutionsStabilityVector fieldsDifferential equationsNumerical solutions.Stability.Vector fields.515/.4545Gxx46Txx60B2015B52mscAjanki Oskari Heikki1502095Erdos LaszloKruger TorbenMiAaPQMiAaPQMiAaPQBOOK9910795262103321Quadratic vector equations on complex upper half-plane3729631UNINA