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This proceedings is a collection of articles on Topology and Teichmüller Spaces. Special emphasis is being put on the universal Teichmüller space, the topology of moduli of algebraic curves, the space of representations of discrete groups, Kleinian groups and Dehn filling deformations, the geometry of Riemann surfaces, and some related topics.
A classic treatment of Riemann surfaces from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.
Let 8 be a Riemann surface of analytically finite type (9, n) with 29 2+n> O. Take two pointsP1, P2 E 8, and set 8,1>2= 8 \ {P1' P2}. Let PI Homeo+(8;P1,P2) be the group of all orientation preserving homeomor phismsw: 8 -+ 8 fixingP1, P2 and isotopic to the identity on 8. Denote byHomeot(8;Pb P2) the set of all elements ofHomeo+(8;P1, P2) iso topic to the identity on 8,P2' ThenHomeot(8;P1,P2) is a normal sub pl group ofHomeo+(8;P1,P2). We setIsot(8;P1,P2) =Homeo+(8;P1,P2)/ Homeot(8;p1, P2). The purpose of this note is to announce a result on the Nielsen Thurston-Bers type classification of an element [w] ofIsot+(8;P1,P2). We give a necessary and sufficient condition for thetypeto be hyperbol...
This is the seventh set of Handbook of Porphyrin Science.Porphyrins, phthalocyanines and their numerous analogue and derivatives are materials of tremendous importance in chemistry, materials science, physics, biology and medicine. They are the red color in blood (heme) and the green in leaves (chlorophyll); they are also excellent ligands that can coordinate with almost every metal in the Periodic Table. Grounded in natural systems, porphyrins are incredibly versatile and can be modified in many ways; each new modification yields derivatives, demonstrating new chemistry, physics and biology, with a vast array of medicinal and technical applications.As porphyrins are currently employed as pl...
This is the sixth set of Handbook of Porphyrin Science.This 5-volume set provides a comprehensive review of the most up-to-date research on porphyrin, heme and chlorophyll biochemistry, as well as applications to biomedicine and bio-inspired energy. In-depth coverage of topics along with perspectives on outstanding questions and future research directions by the authors make these volumes an essential resource for both beginning and advanced investigators in the field. It is also suitable for non-experts in porphyrin, who wish to have an overview of the fundamental discoveries and breakthroughs in the porphyrin arena related to medicine and bio-inspired energy.Bringing together the biochemistry of porphyrin-binding proteins and their clinical relevance and applications to medicine and renewable energy, this set provides readers with an integrated coverage of porphyrin biochemistry. At the same time, it challenges readers with new questions and perspectives of research regarding the role of porphyrin biochemistry in the future of medicine and renewable energy.
Here is the first part of a work that provides a full account of Jorgensen's theory of punctured torus Kleinian groups and its generalization. It offers an elementary and self-contained description of Jorgensen's theory with a complete proof. Through various informative illustrations, readers are naturally led to an intuitive, synthetic grasp of the theory, which clarifies how a very simple fuchsian group evolves into complicated Kleinian groups.
In response to persistent donor organ shortages, organs from marginal donors, such as expanded criteria donors (ECD) and donation after cardiac death (DCD) donors, are now accepted and have been successfully transplanted, reducing the waiting times for transplantation. Especially in Japan, transplantation of DCD kidneys has a relatively long history because of the difficulty or lack of national consensus in accepting brain death, which has made it possible to accumulate considerable clinical experience. Thus, the current organ shortage has stimulated interest in the use of marginal donors for transplantation. On the other hand, however, it is known that these organs have a high rate of delay...
Porphyrins, phthalocyanines and their numerous analogs and derivatives are materials of tremendous importance in chemistry, materials science, physics, biology and medicine. They comprise the red color in blood (heme) and the green in leaves (chlorophyll); they are also excellent ligands that can coordinate with almost every metal in the Periodic Table. Grounded in natural systems, porphyrins are incredibly versatile and can be modified in many ways; each new modification yields derivatives demonstrating new chemistry, physics and biology, with a vast array of medicinal and technical applications.Because porphyrins are currently employed as platforms for study of theoretical principles and a...
This volume contains the proceedings of the 2016 Summer School on Fractal Geometry and Complex Dimensions, in celebration of Michel L. Lapidus's 60th birthday, held from June 21–29, 2016, at California Polytechnic State University, San Luis Obispo, California. The theme of the contributions is fractals and dynamics and content is split into four parts, centered around the following themes: Dimension gaps and the mass transfer principle, fractal strings and complex dimensions, Laplacians on fractal domains and SDEs with fractal noise, and aperiodic order (Delone sets and tilings).
Porphyrins, phthalocyanines and their numerous analogs and derivatives are materials of tremendous importance in chemistry, materials science, physics, biology and medicine. They are the red color in blood (heme) and the green in leaves (chlorophyll); they are also excellent ligands that can coordinate with almost every metal in the Periodic Table. Grounded in natural systems, porphyrins are incredibly versatile and can be modified in many ways; each new modification yields derivatives, demonstrating new chemistry, physics and biology, with a vast array of medicinal and technical applications.As porphyrins are currently employed as platforms for study of theoretical principles and applicatio...