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Since the seminal work of P. Anderson in 1958, localization in
disordered systems has been the object of intense investigations.
Mathematically speaking, the phenomenon can be described as
follows: the self-adjoint operators which are used as Hamiltonians
for these systems have a ten dency to have pure point spectrum,
especially in low dimension or for large disorder. A lot of effort
has been devoted to the mathematical study of the random
self-adjoint operators relevant to the theory of localization for
disordered systems. It is fair to say that progress has been made
and that the un derstanding of the phenomenon has improved. This
does not mean that the subject is closed. Indeed, the number of
important problems actually solved is not larger than the number of
those remaining. Let us mention some of the latter: * A proof of
localization at all energies is still missing for two dimen sional
systems, though it should be within reachable range. In the case of
the two dimensional lattice, this problem has been approached by
the investigation of a finite discrete band, but the limiting pro
cedure necessary to reach the full two-dimensional lattice has
never been controlled. * The smoothness properties of the density
of states seem to escape all attempts in dimension larger than one.
This problem is particularly serious in the continuous case where
one does not even know if it is continuous.
Unlike some other reproductions of classic texts (1) We have not
used OCR(Optical Character Recognition), as this leads to bad
quality books with introduced typos. (2) In books where there are
images such as portraits, maps, sketches etc We have endeavoured to
keep the quality of these images, so they represent accurately the
original artefact. Although occasionally there may be certain
imperfections with these old texts, we feel they deserve to be made
available for future generations to enjoy.
Unlike some other reproductions of classic texts (1) We have not
used OCR(Optical Character Recognition), as this leads to bad
quality books with introduced typos. (2) In books where there are
images such as portraits, maps, sketches etc We have endeavoured to
keep the quality of these images, so they represent accurately the
original artefact. Although occasionally there may be certain
imperfections with these old texts, we feel they deserve to be made
available for future generations to enjoy.
Since the seminal work of P. Anderson in 1958, localization in
disordered systems has been the object of intense investigations.
Mathematically speaking, the phenomenon can be described as
follows: the self-adjoint operators which are used as Hamiltonians
for these systems have a ten dency to have pure point spectrum,
especially in low dimension or for large disorder. A lot of effort
has been devoted to the mathematical study of the random
self-adjoint operators relevant to the theory of localization for
disordered systems. It is fair to say that progress has been made
and that the un derstanding of the phenomenon has improved. This
does not mean that the subject is closed. Indeed, the number of
important problems actually solved is not larger than the number of
those remaining. Let us mention some of the latter: * A proof of
localization at all energies is still missing for two dimen sional
systems, though it should be within reachable range. In the case of
the two dimensional lattice, this problem has been approached by
the investigation of a finite discrete band, but the limiting pro
cedure necessary to reach the full two-dimensional lattice has
never been controlled. * The smoothness properties of the density
of states seem to escape all attempts in dimension larger than one.
This problem is particularly serious in the continuous case where
one does not even know if it is continuous.
This is an EXACT reproduction of a book published before 1923. This
IS NOT an OCR'd book with strange characters, introduced
typographical errors, and jumbled words. This book may have
occasional imperfections such as missing or blurred pages, poor
pictures, errant marks, etc. that were either part of the original
artifact, or were introduced by the scanning process. We believe
this work is culturally important, and despite the imperfections,
have elected to bring it back into print as part of our continuing
commitment to the preservation of printed works worldwide. We
appreciate your understanding of the imperfections in the
preservation process, and hope you enjoy this valuable book.
This is a reproduction of a book published before 1923. This book
may have occasional imperfections such as missing or blurred pages,
poor pictures, errant marks, etc. that were either part of the
original artifact, or were introduced by the scanning process. We
believe this work is culturally important, and despite the
imperfections, have elected to bring it back into print as part of
our continuing commitment to the preservation of printed works
worldwide. We appreciate your understanding of the imperfections in
the preservation process, and hope you enjoy this valuable book.
This is an EXACT reproduction of a book published before 1923. This
IS NOT an OCR'd book with strange characters, introduced
typographical errors, and jumbled words. This book may have
occasional imperfections such as missing or blurred pages, poor
pictures, errant marks, etc. that were either part of the original
artifact, or were introduced by the scanning process. We believe
this work is culturally important, and despite the imperfections,
have elected to bring it back into print as part of our continuing
commitment to the preservation of printed works worldwide. We
appreciate your understanding of the imperfections in the
preservation process, and hope you enjoy this valuable book.
This is a reproduction of a book published before 1923. This book
may have occasional imperfections such as missing or blurred pages,
poor pictures, errant marks, etc. that were either part of the
original artifact, or were introduced by the scanning process. We
believe this work is culturally important, and despite the
imperfections, have elected to bring it back into print as part of
our continuing commitment to the preservation of printed works
worldwide. We appreciate your understanding of the imperfections in
the preservation process, and hope you enjoy this valuable book.
Xibalb ist die Unterwelt der Maya. Sie glaubten, dass ihre Ahnen so
lange dort verweilen mussten bis diese Pr fungen und auferlegte
Leiden bestanden hatten. Ein Verlust hinterl sst paradoxerweise
nicht nur eine L cke, sondern induziert auch eine Bereicherung. So
gro auch die Qualen gewesen sein m gen, sie haben doch die Worte
geboren wodurch erst diese Gedichte entstanden konnten. __Michel J.
Lacroix Die Gedichte in diesem Buch spiegeln das Leben des Autors w
hrend der Jahre ihrer Entstehung wieder. Wo zun chst verkrampft
wirkende Verse eine Ratlosigkeit und endlos scheinende Trauer
erkennen lassen, w chst Hoffnung. Schlie lich l sen sich die
Gedanken aus ihrer Betr bnis und eine befreiende Kl rung macht
neuen Mut. Wer den Autor kennt, vermag in diesem Buch
Lebensabschnitte zu erkennen und Stimmungen nachzuvollziehen. Wer
ihn jedoch nicht kennt, sei herzlich dazu eingeladen das Buch
unvoreingenommen zu lesen und die Zeitlosigkeit vieler Gedichte
wahrzunehmen. Denn so ist es m glich, sich selbst in diesem Buch
wieder zu finden. __Michael Zylla
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