1.

Record Nr.

UNINA9910828788403321

Autore

Duits Maurice

Titolo

The Hermitian two matrix model with an even quartic potential / / Maurice Duits, Arno B.J. Kuijlaars, Man Yue Mo

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2011

©2011

ISBN

0-8218-8756-4

Descrizione fisica

1 online resource (105 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 217, Number 1022

Disciplina

512.7/4

Soggetti

Boundary value problems

Hermitian structures

Eigenvalues

Random matrices

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"May 2012, Volume 217, Number 1022 (end of volume)."

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

""Contents""; ""Abstract""; ""Chapter 1. Introduction and Statement of Results""; ""1.1. Hermitian two matrix model""; ""1.2. Background""; ""1.3. Vector equilibrium problem""; ""1.4. Solution of vector equilibrium problem""; ""1.5. Classification into cases""; ""1.6. Limiting mean eigenvalue distribution""; ""1.7. About the proof of Theorem 1.4""; ""1.8. Singular cases""; ""Chapter 2. Preliminaries and the Proof of Lemma 1.2""; ""2.1. Saddle point equation and functions sj""; ""2.2. Values at the saddles and functions j""; ""2.3. Large z asymptotics""; ""2.4. Two special integrals""

""2.5. Proof of Lemma 1.2""""Chapter 3. Proof of Theorem 1.1""; ""3.1. Results from potential theory""; ""3.2. Equilibrium problem for 3""; ""3.3. Equilibrium problem for 1""; ""3.4. Equilibrium problem for 2""; ""3.5. Uniqueness of the minimizer""; ""3.6. Existence of the minimizer""; ""3.7. Proof of Theorem 1.1""; ""Chapter 4. A Riemann Surface""; ""4.1. The g-functions""; ""4.2. Riemann surface R and -functions""; ""4.3. Properties of the  functions""; ""4.4. The  functions""; ""Chapter 5. Pearcey Integrals and the First Transformation""; ""5.1. Definitions""; ""5.2. Large z asymptotics""



""5.3. First transformation: Y X""""5.4. RH problem for X""; ""Chapter 6. Second Transformation X U""; ""6.1. Definition of second transformation""; ""6.2. Asymptotic behavior of U""; ""6.3. Jump matrices for U""; ""6.4. RH problem for U""; ""Chapter 7. Opening of Lenses""; ""7.1. Third transformation U T""; ""7.2. RH problem for T""; ""7.3. Jump matrices for T""; ""7.4. Fourth transformation T S""; ""7.5. RH problem for S""; ""7.6. Behavior of jumps as n ""; ""Chapter 8. Global Parametrix""; ""8.1. Statement of RH problem""; ""8.2. Riemann surface as an M-curve""

""8.3. Canonical homology basis""""8.4. Meromorphic differentials""; ""8.5. Definition and properties of functions uj""; ""8.6. Definition and properties of functions vj""; ""8.7. The first row of M""; ""8.8. The other rows of M""; ""Chapter 9. Local Parametrices and Final Transformation""; ""9.1. Local parametrices""; ""9.2. Final transformation""; ""9.3. Proof of Theorem 1.4""; ""Bibliography""; ""Index""

2.

Record Nr.

UNINA9910827305603321

Titolo

Transformation of the intimate and the public in Asian modernity / / edited by Ochiai Emiko, Hosoya Leo Aoi

Pubbl/distr/stampa

Leiden, Netherlands : , : Brill, , 2014

©2014

ISBN

90-04-26435-3

Descrizione fisica

1 online resource (330 p.)

Collana

Intimate and the Public in Asian and Global Perspectives, , 2213-0608 ; ; Volume 5

Disciplina

303.4095

Soggetti

Social change - Asia

Intimacy (Psychology) - Social aspects - Asia

Public spaces - Social aspects - Asia

Asia Social life and customs 21st century

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references at the end of each chapters and index.

Nota di contenuto

Preliminary Material / Ochiai Emiko and Hosoya Leo Aoi -- Introduction: Reconstruction of Intimate and Public Spheres in Asian



Modernity / OCHIAI Emiko -- Individualization without Individualism: Compressed Modernity and Obfuscated Family Crisis in East Asia / CHANG Kyung-Sup -- Unsustainable Societies: Low Fertility and Familialism in East Asia’s Compressed and Semi-compressed Modernities / OCHIAI Emiko -- Demographic Dividend and the Future of Asia / Patcharawalai WONGBOONSIN and Kua WONGBOONSIN -- Shrinking of the Japanese Uniqueness: A Quantitative Analysis of Life Course Changes / IWAI Hachiro -- Factors in the Wage Differential between Standard and Nonstandard Employment: A comparison of Japan, South Korea, and Taiwan / TAROHMARU Hiroshi -- Care Diamonds and Welfare Regimes in East and Southeast Asian Societies / OCHIAI Emiko -- Incorporating Foreign Domestic Workers as Providers of Family Care: Case Studies of Hong Kong, Taiwan and Singapore / ASATO Wako -- Social Investment Policy in South Korea / Ito PENG -- A Comparative Perspective on Japanese Family Law / MIZUNO Noriko -- The Development of Civil Society in East Asia: Focusing on the Environment, Human Rights and Migrant Labor / IGARASHI Seiichi -- Index / Ochiai Emiko and Hosoya Leo Aoi.

Sommario/riassunto

This volume, the first major study in its field, offers an invaluable stepping-stone to a more informed understanding of the fundamental social changes taking place in Asia – defined as ‘a reconstruction of the intimate and public spheres’. Such changes are being observed worldwide, but previous studies relating to this phenomenon are largely based on Western experiences dating back to the 1970's. Developments in Asia, however, are manifesting both similarities and differences between the two regions. The book’s strongest appeal, therefore, lies in its theoretical orientation, seeking to define frameworks that are most relevant to the Asian reality. These frameworks include compressed and semi-compressed modernity, familialism, familialization policy, unsustainable society, the second demographic dividend, care diamonds, and the transnational public sphere. Such concepts are seen as essential in any discussion concerning the intimate and public spheres of contemporary Asia. Accordingly, Transformation of the Intimate and the Public in Asian Modernity can be seen as a valuable text as well as a work of reference and will be welcomed by social scientists and cultural anthropologists alike. The book comprises an in-depth introduction and ten chapters contributed by scholars from Japan, Korea, Thailand and Canada covering topics ranging from low fertility, changing life course, increasing non-regular employment, care provision, migrant workers, social policies, and family law, to the activities of transnational NGO's, with a special focus on distinctive features of Asian experiences.