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This book gathers papers on recent advances in the ergodic theory of group actions on homogeneous spaces and on geometrically finite hyperbolic manifolds presented at the workshop “Geometric and Ergodic Aspects of Group Actions,” organized by the Tata Institute of Fundamental Research, Mumbai, India, in 2018. Written by eminent scientists, and providing clear, detailed accounts of various topics at the interface of ergodic theory, the theory of homogeneous dynamics, and the geometry of hyperbolic surfaces, the book is a valuable resource for researchers and advanced graduate students in mathematics.
Topological groups. --- Lie groups. --- Dynamics. --- Ergodic theory. --- Topological Groups, Lie Groups. --- Dynamical Systems and Ergodic Theory. --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Groups, Topological
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This is a collection of surveys on important mathematical ideas, their origin, their evolution and their impact in current research. The authors are mathematicians who are leading experts in their fields. The book is addressed to all mathematicians, from undergraduate students to senior researchers, regardless of the specialty.
Projective geometry. --- Mathematics. --- History. --- Topology. --- Functions of complex variables. --- Projective Geometry. --- History of Mathematical Sciences. --- Functions of a Complex Variable. --- Geometria --- Història --- Geometry, Projective. --- Història.
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