LEADER 04020nam 2200709Ia 450 001 9910451555203321 005 20200520144314.0 010 $a0-262-30720-0 010 $a1-282-09919-1 010 $a9786612099199 010 $a0-262-27034-X 010 $a1-4356-0503-9 035 $a(CKB)1000000000423426 035 $a(SSID)ssj0000121004 035 $a(PQKBManifestationID)11141069 035 $a(PQKBTitleCode)TC0000121004 035 $a(PQKBWorkID)10115243 035 $a(PQKB)10299704 035 $a(MiAaPQ)EBC3338747 035 $a(OCoLC)177217833$z(OCoLC)180752263$z(OCoLC)191940887$z(OCoLC)473709032$z(OCoLC)647663822$z(OCoLC)651844773$z(OCoLC)888795162$z(OCoLC)961521115$z(OCoLC)962719299$z(OCoLC)991989408$z(OCoLC)1055358834$z(OCoLC)1058053619$z(OCoLC)1066643767$z(OCoLC)1081225160 035 $a(OCoLC-P)177217833 035 $a(MaCbMITP)7513 035 $a(PPN)170242048 035 $a(Au-PeEL)EBL3338747 035 $a(CaPaEBR)ebr10194161 035 $a(CaONFJC)MIL209919 035 $a(OCoLC)177217833 035 $a(EXLCZ)991000000000423426 100 $a20070125d2007 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aChildren and pensions$b[electronic resource] /$fAlessandro Cigno and Martin Werding 210 $aCambridge, MA $cMIT Press$dc2007 215 $axxiii, 204 p 225 1 $aCESifo book series 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-262-03369-0 320 $aIncludes bibliographical references and index. 330 $aAn analysis of the effect of public pension schemes on a country's fertility rate and a proposal for policies to reform pension coverage in light of this.The rapidly aging populations of many developed countries--most notably Japan and member countries of the European Union--present obvious problems for the public pension plans of these countries. Not only will there be disproportionately fewer workers making pension contributions than there are retirees drawing pension benefits, but the youth-to-age imbalance would significantly affect the total contributive capacity of future generations and hence their total income growth. In Children and Pensions, Alessandro Cigno and Martin Werding examine the way pension policy and child-related benefits affect fertility behavior and productivity growth. They present theoretical arguments to the effect that public pension coverage as such will reduce aggregate fertility and may raise aggregate household savings. They argue further that public pensions, as they are currently designed, discourage parents from private human capital investment in their children to improve the children's future earning capacity. After an overview of pension and child benefit policies (focusing on the European Union, Japan, and the United States), the authors offer an empirical and theoretical analysis and a simulation of the effects of the policies under discussion. Their policy proposals to address declines in fertility and productivity growth include the innovative suggestion that relates a person's pension entitlements to his or her number of children and the children's earning ability--proposing that, in effect, a person's pension could be financed in part or in full by the pensioner's own children. 410 0$aCESifo book series. 606 $aFamily allowances 606 $aSocial security 606 $aFamily demography$xEconomic aspects 606 $aChild welfare 608 $aElectronic books. 615 0$aFamily allowances. 615 0$aSocial security. 615 0$aFamily demography$xEconomic aspects. 615 0$aChild welfare. 676 $a331.25/2 700 $aCigno$b Alessandro$0118218 701 $aWerding$b Martin$0872969 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910451555203321 996 $aChildren and pensions$92240335 997 $aUNINA LEADER 04344nam 2200685Ia 450 001 9910459302903321 005 20200520144314.0 010 $a1-282-64174-3 010 $a9786612641749 010 $a1-4008-3541-0 024 7 $a10.1515/9781400835416 035 $a(CKB)2670000000031864 035 $a(EBL)557142 035 $a(OCoLC)656260887 035 $a(SSID)ssj0000399557 035 $a(PQKBManifestationID)11257720 035 $a(PQKBTitleCode)TC0000399557 035 $a(PQKBWorkID)10376507 035 $a(PQKB)11093412 035 $a(MiAaPQ)EBC557142 035 $a(DE-B1597)446587 035 $a(OCoLC)979593113 035 $a(DE-B1597)9781400835416 035 $a(Au-PeEL)EBL557142 035 $a(CaPaEBR)ebr10397711 035 $a(CaONFJC)MIL264174 035 $a(EXLCZ)992670000000031864 100 $a20100111d2010 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLog-gases and random matrices$b[electronic resource] /$fP.J. Forrester 205 $aCourse Book 210 $aPrinceton $cPrinceton University Press$dc2010 215 $a1 online resource (806 p.) 225 1 $aLondon Mathematical Society monographs 300 $aDescription based upon print version of record. 311 $a0-691-12829-4 320 $aIncludes bibliographical references and index. 327 $t Frontmatter -- $tPreface -- $tContents -- $tChapter One. Gaussian Matrix Ensembles -- $tChapter Two. Circular Ensembles -- $tChapter Three. Laguerre And Jacobi Ensembles -- $tChapter Four. The Selberg Integral -- $tChapter Five. Correlation functions at ? = 2 -- $tChapter Six. Correlation Functions At ?= 1 And 4 -- $tChapter Seven. Scaled limits at ? = 1, 2 and 4 -- $tChapter Eight. Eigenvalue probabilities - Painlevé systems approach -- $tChapter Nine. Eigenvalue probabilities- Fredholm determinant approach -- $tChapter Ten. Lattice paths and growth models -- $tChapter Eleven. The Calogero-Sutherland model -- $tChapter Twelve. Jack polynomials -- $tChapter Thirteen. Correlations for general ? -- $tChapter Fourteen. Fluctuation formulas and universal behavior of correlations -- $tChapter Fifteen. The two-dimensional one-component plasma -- $tBibliography -- $tIndex 330 $aRandom matrix theory, both as an application and as a theory, has evolved rapidly over the past fifteen years. Log-Gases and Random Matrices gives a comprehensive account of these developments, emphasizing log-gases as a physical picture and heuristic, as well as covering topics such as beta ensembles and Jack polynomials. Peter Forrester presents an encyclopedic development of log-gases and random matrices viewed as examples of integrable or exactly solvable systems. Forrester develops not only the application and theory of Gaussian and circular ensembles of classical random matrix theory, but also of the Laguerre and Jacobi ensembles, and their beta extensions. Prominence is given to the computation of a multitude of Jacobians; determinantal point processes and orthogonal polynomials of one variable; the Selberg integral, Jack polynomials, and generalized hypergeometric functions; Painlevé transcendents; macroscopic electrostatistics and asymptotic formulas; nonintersecting paths and models in statistical mechanics; and applications of random matrix theory. This is the first textbook development of both nonsymmetric and symmetric Jack polynomial theory, as well as the connection between Selberg integral theory and beta ensembles. The author provides hundreds of guided exercises and linked topics, making Log-Gases and Random Matrices an indispensable reference work, as well as a learning resource for all students and researchers in the field. 410 0$aLondon Mathematical Society monographs. 606 $aRandom matrices 606 $aJacobi polynomials 606 $aIntegral theorems 608 $aElectronic books. 615 0$aRandom matrices. 615 0$aJacobi polynomials. 615 0$aIntegral theorems. 676 $a519.2 700 $aForrester$b Peter$g(Peter John)$0557666 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910459302903321 996 $aLog-gases and random matrices$92476415 997 $aUNINA