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This book provides an introduction into the diversity of the
environmental movement through great characters in the green
sector. The book describes inspiring personal achievements, and at
the same time it provides readers with information regarding the
history, the main directions and the ethical principles of the
environmental movement. Some of the most important characters of
the movement from all around the world, are included in the book.
As well as the title characters, Buddha and Leonardo DiCaprio,
other famous environmentalists like Albert Schweitzer, David
Attenborough and Jane Goodall are discussed. Some of the less
well-known but equally important environmentalists such as Chico
Mendes, Bruno Manser, Henry Spira, Tom Regan or Rossano Ercolini
are highlighted in the various chapters. The selection of
characters represents all major branches within the green sector,
ranging from medieval saints to Hollywood celebrities, from
university professors to field activists, from politicians to
philosophers, from ecofeminists to radicals.
This book is a concise and self-contained introduction of recent
techniques to prove local spectral universality for large random
matrices. Random matrix theory is a fast expanding research area,
and this book mainly focuses on the methods that the authors
participated in developing over the past few years. Many other
interesting topics are not included, and neither are several new
developments within the framework of these methods. The authors
have chosen instead to present key concepts that they believe are
the core of these methods and should be relevant for future
applications. They keep technicalities to a minimum to make the
book accessible to graduate students. With this in mind, they
include in this book the basic notions and tools for
high-dimensional analysis, such as large deviation, entropy,
Dirichlet form, and the logarithmic Sobolev inequality. This
manuscript has been developed and continuously improved over the
last five years. The authors have taught this material in several
regular graduate courses at Harvard, Munich, and Vienna, in
addition to various summer schools and short courses.
This book provides an introduction into the diversity of the
environmental movement through great characters in the green
sector. The book describes inspiring personal achievements, and at
the same time it provides readers with information regarding the
history, the main directions and the ethical principles of the
environmental movement. Some of the most important characters of
the movement from all around the world, are included in the book.
As well as the title characters, Buddha and Leonardo DiCaprio,
other famous environmentalists like Albert Schweitzer, David
Attenborough and Jane Goodall are discussed. Some of the less
well-known but equally important environmentalists such as Chico
Mendes, Bruno Manser, Henry Spira, Tom Regan or Rossano Ercolini
are highlighted in the various chapters. The selection of
characters represents all major branches within the green sector,
ranging from medieval saints to Hollywood celebrities, from
university professors to field activists, from politicians to
philosophers, from ecofeminists to radicals.
The authors consider the nonlinear equation $-\frac 1m=z+Sm$ with a
parameter $z$ in the complex upper half plane $\mathbb H $, where
$S$ is a positivity preserving symmetric linear operator acting on
bounded functions. The solution with values in $ \mathbb H$ is
unique and its $z$-dependence is conveniently described as the
Stieltjes transforms of a family of measures $v$ on $\mathbb R$. In
a previous paper the authors qualitatively identified the possible
singular behaviors of $v$: under suitable conditions on $S$ we
showed that in the density of $v$ only algebraic singularities of
degree two or three may occur. In this paper the authors give a
comprehensive analysis of these singularities with uniform
quantitative controls. They also find a universal shape describing
the transition regime between the square root and cubic root
singularities. Finally, motivated by random matrix applications in
the authors' companion paper they present a complete stability
analysis of the equation for any $z\in \mathbb H$, including the
vicinity of the singularities.
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