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200 10$aSemiclassical analysis, Witten Laplacians, and statistical mechanics$b[electronic resource] /$fBernard Helffer
210 $aRiver Edge, NJ $cWorld Scientific$dc2002
215 $a1 online resource (190 p.)
225 1 $aSeries on partial differential equations and applications ;$vv. 1
300 $aDescription based upon print version of record.
311 $a981-238-098-1
320 $aIncludes bibliographical references (p. 169-176) and index.
327 $aContents ; Preface ; Chapter 1 Introduction ; 1.1 Laplace integrals ; 1.2 The problems in statistical mechanics ; 1.3 Semi-classical analysis and transfer operators ; 1.4 About the contents ; Chapter 2 Witten Laplacians approach ; 2.1 De Rham Complex ; 2.2 Witten Complex
327 $a2.3 Witten Laplacians 2.4 Semi-classical considerations ; 2.5 An alternative point of view : Dirichlet forms ; 2.6 A nice formula for the covariance ; 2.7 Notes ; Chapter 3 Problems in statistical mechanics with discrete spins ; 3.1 The Curie-Weiss model ; 3.2 The 1-d Ising model
327 $a3.3 The 2-d Ising model 3.4 Notes ; Chapter 4 Laplace integrals and transfer operators ; 4.1 Introduction ; 4.2 Classical Laplace method ; 4.2.1 Standard results ; 4.2.2 Transition between the convex case and the double well case ; 4.3 The method of transfer operators
327 $a4.4 Elementary properties of operators with integral kernels 4.5 Elementary properties of the transfer operator ; 4.6 Operators with strictly positive kernel and application ; 4.7 Thermodynamic limit ; 4.8 Mean value ; 4.9 Pair correlation ; 4.10 2-dimensional lattices ; 4.11 Notes
327 $aChapter 5 Semi-classical analysis for the transfer operators 5.1 Introduction ; 5.2 Explicit computations for the harmonic Kac operator ; 5.3 Harmonic approximation for the transfer operator ; 5.4 WKB constructions for the transfer operator
327 $a5.5 The case of the Schrodinger operator in dimension 1
330 $a This important book explains how the technique of Witten Laplacians may be useful in statistical mechanics. It considers the problem of analyzing the decay of correlations, after presenting its origin in statistical mechanics. In addition, it compares the Witten Laplacian approach with other techniques, such as the transfer matrix approach and its semiclassical analysis. The author concludes by providing a complete proof of the uniform Log-Sobolev inequality.
Contents:- Witten Laplacians Approach
- Problems in Statistical Mechanics with Discrete Spins
- Laplace In
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200 10$aInternational Standards on Legal Protection of Prisoners' Labour and Social Security Rights $eUn, ILO and Council of Europe /$fXixue Shang
205 $aFirst edition.
210 1$aThe Hague, The Netherlands :$cEleven International Publishing,$d[2018]
210 4$dİ2018
215 $a1 online resource (245 pages)
225 0 $aThe Green Grass / Het Groene Gras Series
311 $a94-6236-851-1
320 $aIncludes bibliographical references.
327 $aIntro -- Preface -- Acknowledgments -- Table of Contents -- Abbreviations -- 1 General Introduction -- 1.1 Research Background -- 1.2 Research Objectives -- 1.2.1 United Nations -- 1.2.2 International Labour Organization -- 1.2.3 Council of Europe -- 1.2.4 Research Sub-questions -- 1.3 Research Structure and Methodology -- 1.3.1 First Research Stage -- 1.3.2 Second Research Stage -- 1.3.3 Third Research Stage -- 1.4 Definitions -- 2 'Inmate Workers' Labour and Social Security Rights: A Worldwide View -- 2.1 Introduction -- 2.2 Imprisonment -- 2.2.1 Objectives of Imprisonment -- 2.2.2 The Punitive Role of Imprisonment -- 2.2.3 Prison Administration -- 2.2.4 Contemporary Principles of Imprisonment -- 2.2.4.1 Minimum Restrictions Principle -- 2.2.4.2 Normalization Principle -- 2.3 Prison Work -- 2.3.1 Nature of Prison Work -- 2.3.2 Roles of Prison Work -- 2.3.2.1 Reintegration Effect -- 2.3.2.2 Discipline and Surveillance -- 2.3.2.3 Financial Profits -- 2.3.3 Modern Objective and Principles of Prison Work -- 2.3.3.1 Normalization of Working Conditions -- 2.3.3.2 Orientation to Market Demand -- 2.3.3.3 Development of Personal Skills -- 2.4 Current Industrial Prison System -- 2.4.1 Organization of Prison Industry -- 2.4.2 Nature of Prisoners' Work -- 2.4.3 Types of Prison Employment -- 2.4.3.1 State Use of Prison Labour -- 2.4.3.2 Private Use of Prison Labour: A Mainstream Mode -- 2.4.3.3 Cooperative Work -- 2.4.3.4 Individual Work -- 2.4.4 Types of Contract-Out System -- 2.4.5 Private Use of Prison Labour -- 2.5 Employment of Inmate Workers in Practice -- 2.5.1 Employment Status of Inmate Workers -- 2.5.2 Labour Rights -- 2.5.2.1 Free Choice of Employment -- 2.5.2.2 Fair Labour Remuneration -- 2.5.2.3 Safe and Healthy Working Conditions -- 2.5.2.4 Reasonable Working Time and Rest -- 2.5.2.5 Vocational Training -- 2.5.3 Social Security Rights.
327 $a2.5.3.1 Sickness and Invalidity Benefits -- 2.5.3.2 Unemployment Benefits -- 2.5.3.3 Employment Injury Benefits -- 2.5.3.4 Old-Age Benefits -- 2.6 Causes of Insufficient Protection of Prison Work -- 2.6.1 Prejudice towards Prisoners -- 2.6.2 Obstacles Resulting from Imprisonment Itself -- 2.6.3 Low Productivity of Prison Industry -- 2.6.4 Conflict of Interests between Prison and Prisoners -- 2.6.5 Demand of Prison Rehabilitation Activities -- 2.7 Justification for Protecting Prisoners' Labour -- 2.7.1 Considerations from the Effective Penal Administration Perspective -- 2.7.1.1 Fostering Prisoners' Rehabilitation -- 2.7.1.2 Response to Exploitation of Prison Labour -- 2.7.2 Considerations from the Perspective of a Positive Contribution to Society -- 2.7.2.1 Contribution to the National Economy -- 2.7.2.2 Public Recognition of Prisoners' Labour -- 2.7.2.3 Improvement of Prison Industry Productivity -- 2.7.2.4 Elimination of Unfair Competition with Free Workers -- 2.7.3 Considerations from the Perspective of an Ideal Human Rights Protection -- 2.7.3.1 Internationalization of Prisoners' Human Rights Protection -- 2.7.3.2 Realization of Humanist Ideals -- 2.8 Conclusion -- 3 United Nations -- 3.1 Introduction -- 3.2 Universal Declaration of Human Rights -- 3.2.1 Prisoners and Labour Rights -- 3.2.2 Prisoners and Social Security Rights -- 3.2.3 Prisoners and the Right to Equal Treatment -- 3.3 International Covenant on Civil and Political Rights -- 3.3.1 Prisoners and Labour Rights -- 3.3.2 Prisoners and Social Security Rights -- 3.3.3 Prisoners and the Right to Equal Treatment -- 3.4 International Covenant on Economic, Social and Cultural Rights -- 3.4.1 Prisoners and Labour Rights -- 3.4.2 Prisoners and Social Security Rights -- 3.4.3 Prisoners and the Right to Equal Treatment.
327 $a3.5 UN Standard Minimum Rules for the Treatment of Prisoners (2015 Nelson Mandela Rules) -- 3.5.1 Prisoners and Labour Rights -- 3.5.1.1 Choice of Employment -- 3.5.1.2 Labour Remuneration -- 3.5.1.3 Safe and Healthy Working Conditions -- 3.5.1.4 Working Hours and Vacation -- 3.5.1.5 Vocational Training -- 3.5.2 Prisoners and Social Security Rights -- 3.5.2.1 Employment Injury Benefits -- 3.5.2.2 Other Social Security Benefits -- 3.6 Basic Principles for the Treatment of Prisoners -- 3.6.1 Prisoners Retain Human Rights -- 3.6.2 Prisoners Should Have Access to Remunerated Employment -- 3.7 The UN Rules for the Protection of Juveniles Deprived of Their Liberty -- 3.7.1 Choice of Employment -- 3.7.2 Remuneration -- 3.7.3 Vocational Training -- 3.8 Conclusion -- 4 International Labour Organization -- 4.1 Introduction -- 4.2 The Forced Labour Convention -- 4.2.1 Prohibition of Forced Labour -- 4.2.2 Definition of Forced Labour -- 4.2.2.1 Work or Service -- 4.2.2.2 Menace of Any Penalty -- 4.2.2.3 Involuntary Will -- 4.2.3 Exceptions to the Prohibition of Forced Labour Law -- 4.2.3.1 Consequence of a Conviction in a Court of Law -- 4.2.3.2 Supervision and Control of a Public Authority -- 4.2.3.3 Not Hired to or Placed at the Disposal of Private Individuals, Companies or Associations -- 4.2.4 Conditions for the Private Use of Prison Labour -- 4.2.5 Indicators of a Free Relationship -- 4.2.5.1 Free Consent -- 4.2.5.2 Full Employment Relationship -- 4.2.5.3 Equal Employment Conditions -- 4.2.6 Evaluation -- 4.2.6.1 Strengths -- 4.2.6.2 Weaknesses -- 4.2.6.3 Ratification and Current Status of Convention 29 -- 4.3 The Protocol to the Forced Labour Convention -- 4.3.1 Strengthening the Combat against Forced Labour -- 4.3.2 Measures to Prevent and Eliminate Forced Labour -- 4.3.3 Appropriate Remedies -- 4.4 Forced Labour (Supplementary Measures) Recommendation.
327 $a4.5 The Abolition of Forced Labour Convention -- 4.6 Social Security (Minimum Standards) Convention, 1952 -- 4.7 Conclusion -- 5 Council of Europe -- 5.1 Introduction -- 5.2 European Social Charter and the Revised European Social Charter -- 5.2.1 Prisoners and Labour Rights -- 5.2.1.1 Free Choice of Employment -- 5.2.1.2 Labour Remuneration -- 5.2.1.3 Health and Safety at Work -- 5.2.1.4 Reasonable Working Hours -- 5.2.1.5 Vocational Training -- 5.2.2 Prisoners and Social Security Rights -- 5.2.3 Prisoners and the Right to Equal Treatment -- 5.3 European Code of Social Security -- 5.3.1 Unemployment Benefits -- 5.3.1.1 Personal Scope -- 5.3.1.2 Definition of the Covered Social Risk -- 5.3.1.3 Qualifying Periods to Be Fulfilled -- 5.3.2 Old-Age Benefits -- 5.3.2.1 Personal Scope -- 5.3.2.2 Definition of the Covered Social Risk -- 5.3.2.3 Qualifying Periods to Be Fulfilled -- 5.3.3 Employment Injury Benefits -- 5.3.3.1 Personal Scope -- 5.3.3.2 Definition of the Covered Social Risk -- 5.3.3.3 Qualifying Periods to Be Fulfilled -- 5.3.4 Sickness Benefits -- 5.3.4.1 Personal Scope -- 5.3.4.2 Definition of the Covered Social Risk -- 5.3.4.3 Qualifying Periods to Be Fulfilled -- 5.3.5 Invalidity Benefits -- 5.3.5.1 Personal Scope -- 5.3.5.2 Definition of the Covered Social Risk -- 5.3.5.3 Qualifying Periods to Be Fulfilled -- 5.3.6 Prisoners and the Right to Equal Treatment -- 5.4 European Convention on Human Rights -- 5.4.1 Prohibition of Forced Labour -- 5.4.1.1 Definition of Forced Labour -- 5.4.1.2 Prison Labour and Forced Labour -- 5.4.2 Social Security Rights -- 5.4.2.1 Prohibition of Forced Labour and Entitlement to Social Security Benefits -- 5.4.2.2 Right to Peaceful Enjoyment of Social Security Benefits -- 5.4.3 Prohibition of Discrimination -- 5.5 The 2006 European Prison Rules -- 5.5.1 Labour Rights -- 5.5.1.1 Free Choice of Employment.
327 $a5.5.1.2 Labour Remuneration -- 5.5.1.3 Health and Safety at Work and Reasonable Working Hours -- 5.5.1.4 Vocational Training -- 5.5.2 Social Security Rights -- 5.6 Recommendation on the Management of Life-Sentence and Other Long-Term Prisoners -- 5.7 Resolution (62)2 on Electoral, Civil and Social Rights of Prisoners -- 5.8 The European Convention for the Prevention of Torture and Inhuman or Degrading Treatment or Punishment -- 5.9 Conclusion -- 6 Comparative Analysis -- 6.1 Introduction -- 6.2 Comparative Analysis of International and European Legal Standards on Prisoners' Labour and Social Security Rights -- 6.2.1 Prison Labour -- 6.2.1.1 Relationship between Prison Labour and Forced Labour -- 6.2.1.2 Rehabilitation Role of Prison Work -- 6.2.2 Labour Rights -- 6.2.2.1 Free Choice of Employment -- 6.2.2.2 Fair Labour Remuneration -- 6.2.2.3 Safe and Healthy Working Conditions -- 6.2.2.4 Reasonable Working Time and Rest -- 6.2.2.5 Vocational Training -- 6.2.3 Social Security Rights -- 6.2.3.1 General Right to Social Security Benefits -- 6.2.3.2 Employment Injury Benefits -- 6.2.3.3 Payment of Benefits during Imprisonment -- 6.3 Conclusion -- 7 General Conclusion -- 7.1 Necessity of Legal Protection for Prison Work and Inmate Workers -- 7.2 Advantages and Disadvantages of Legislative Approaches in the Analysed Legal Regimes -- 7.3 Time for Fresh Thinking on the Jurisdiction Issue -- 7.3.1 Legal Value of Soft Laws -- 7.3.2 Legal Value of Commentaries from Monitoring Bodies -- 7.4 A Universally Acceptable Set of Standards and Rules -- 14 International Standards on Legal Protection of Prisoners' Labour and Social Security Rights Tables of international legal provisions concerning prison labour -- Bibliography -- Het groene gras.
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