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Cyclic Cohomology at 40: Achievements and Future Prospects
This volume contains the proceedings of the virtual conference on Cyclic Cohomology at 40: Achievements and Future Prospects, held from September 27–October 1, 2021 and hosted by the Fields Institute for Research in Mathematical Sciences, Toronto, ON, Canada. Cyclic cohomology, since its discovery forty years ago in noncommutative differential geometry, has become a fundamental mathematical tool with applications in domains as diverse as analysis, algebraic K-theory, algebraic geometry, arithmetic geometry, solid state physics and quantum field theory. The reader will find survey articles providing a user-friendly introduction to applications of cyclic cohomology in such areas as higher ca...
From Complex Analysis to Operator Theory: A Panorama
This volume is dedicated to the memory of Sergey Naboko (1950-2020). In addition to original research contributions covering the vast areas of interest of Sergey Naboko, it includes personal reminiscences and comments on the works and legacy of Sergey Naboko’s scientific achievements. Areas from complex analysis to operator theory, especially, spectral theory, are covered, and the papers will inspire current and future researchers in these areas.
Xivth International Congress On Mathematical Physics
In 2003 the XIV International Congress on Mathematical Physics (ICMP) was held in Lisbon with more than 500 participants. Twelve plenary talks were given in various fields of Mathematical Physics: E Carlen «On the relation between the Master equation and the Boltzmann Equation in Kinetic Theory»; A Chenciner «Symmetries and “simple” solutions of the classical n-body problem»; M J Esteban «Relativistic models in atomic and molecular physics»; K Fredenhagen «Locally covariant quantum field theory»; K Gawedzki «Simple models of turbulent transport»; I Krichever «Algebraic versus Liouville integrability of the soliton systems»; R V Moody «Long-range order and diffraction in math...
Mathematical Reviews
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Random Schrödinger Operators
During the last thirty years, random Schrodinger operators, which originated in condensed matter physics, have been studied intensively and very productively. The theory is at the crossroads of a number of mathematical fields: the theory of operators, partial differential equations, the theory of probabilities, in particular the study of stochastic processes and that of random walks and Brownian motion in a random environment. This monograph aims to give the reader a panorama of the subject, from the now-classic foundations to very recent developments.
The Transmission of the Pentateuch
The volume focuses on variants between the Masoretic Text and the Samaritan Pentateuch prompted by graphic similarities between letters. As a phenomenon that occurs during the transmission of ancient texts, an in-depth study of the linguistic and paleographic background of these variants provides fruitful ground for the exploration of the Pentateuch transmission. This volume gathers all the relevant variants from the Masoretic Text and the Samaritan Pentateuch, comparing them to further witnesses, primarily the Dead Sea Scrolls and the Septuagint. Each case is examined independently through a linguistic analysis of the variants, their process of development and an evaluation of which version...
The Dynamics of Early Judaean Law
This collection of essays explores aspects of civil and criminal law in ancient Judaea. Whereas the majority of studies on Judaean law focus on biblical law codes (and, therefore, on laws related to sacrifice, cultic purity, and personal piety) this volume focus on laws related to the social and economic dealings of Judaeans in the Neo-Babylonian, Persian, and Greco-Roman periods and on the contribution of epigraphic and archival sources and to the study of this material.
