LEADER 02182nam 2200553 450 001 9910826755503321 005 20200106142600.0 010 $a1-4704-5414-9 035 $a(CKB)4940000000158630 035 $a(MiAaPQ)EBC5990829 035 $a(Au-PeEL)EBL5990829 035 $a(OCoLC)1141518557 035 $a(RPAM)21595818 035 $a(PPN)242521142 035 $a(EXLCZ)994940000000158630 100 $a20200106h20192019 uy| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aQuadratic vector equations on complex upper half-plane /$fOskari Heikki Ajanki, Laszlo Erdos, Torben Kruger 210 1$aProvidence, RI :$cAmerican Mathematical Society,$d[2019] 210 4$d2019 215 $a1 online resource (146 pages) $ccolor illustrations 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vSeptember 2019, volume 261, number 1261 300 $a"September 2019, volume 261, number 1261 (fifth of 7 numbers)." 311 $a1-4704-3683-3 320 $aIncludes bibliographical references. 327 $aSet-up and main results -- Local laws for large random matrices -- Existence, uniqueness and Lē-bound -- Properties of solution -- Uniform bounds -- Regularity of solution -- Perturbations when generating density is small -- Behavior of generating density where it is small -- Stability around small minima of generating density. 410 0$aMemoirs of the American Mathematical Society ;$vvol. 261, no. 1261. 606 $aDifferential equations$xNumerical solutions 606 $aStability 606 $aVector fields 615 0$aDifferential equations$xNumerical solutions. 615 0$aStability. 615 0$aVector fields. 676 $a515/.45 686 $a45Gxx$a46Txx$a60B20$a15B52$2msc 700 $aAjanki$b Oskari Heikki$01718213 702 $aErdos$b Laszlo 702 $aKruger$b Torben 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910826755503321 996 $aQuadratic vector equations on complex upper half-plane$94115009 997 $aUNINA