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The theory of Λ-trees has its origin in the work of Lyndon on length functions in groups. The first definition of an R-tree was given by Tits in 1977. The importance of Λ-trees was established by Morgan and Shalen, who showed how to compactify a generalisation of Teichmüller space for a finitely generated group using R-trees. In that work they were led to define the idea of a Λ-tree, where Λ is an arbitrary ordered abelian group. Since then there has been much progress in understanding the structure of groups acting on R-trees, notably Rips' theorem on free actions. There has also been some progress for certain other ordered abelian groups Λ, including some interesting connections with model theory.Introduction to Λ-Trees will prove to be useful for mathematicians and research students in algebra and topology.
Dark matter research is one of the most fascinating and active fields among current high-profile scientific endeavours. It holds the key to all major breakthroughs to come in the fields of cosmology and astroparticle physics. The present volume is particularly concerned with the sources and the detection of dark matter and dark energy in the universe and will prove to be an invaluable research tool for all scientists who work in this field.
Elementary Particles
Theoretical particle physicists discuss the present status and,in particular, the latest developments in quantum field theory,in their broadest aspects. This volume contains the main lecturespresented at the symposium and reflects the contemporary statusof a line of development, one of whose initiators was Niels Bohr.
The 1981 Cargese Summer Institute on Fundamental Interactions was organized by the Universite Pierre et Marie Curie, Paris (M. LEVY and J-L. BASDEVANT), CERN (M. JACOB), the Universite Catholique de Louvain (D. SPEISER and J. WEYERS), and the Kotholieke Universiteit te Leuven (R. GASTMANS), which, since 1975 have joined their efforts and worked in common. It was the 24th Summer Institute held at Cargese and the 8th one organized by the two institutes of theoretical physics at Leuven and Louvain-Ia-Neuve. The 1985 school was centered around two main themes : the standard model of the fundamental interactions (and beyond) and astrophysics. The remarkable advances in the theoretical understandi...
Contents:CP Phenomenology:Introduction to CP Violation (C Jarlskog)CP-Violation in the K0-K0-System (K Kleinknecht)The Quark Mixing Matrix, Charm Decays and B Decays (S Stone)The Question of CP Noninvariance — As Seen through the Eyes of Neutral Beauty (I I Bigi et al.)In Search of CP Noninvariance in Heavy Quark Systems (L-L Chau)CP Violation at High Energy e+e- Colliders (J Bernabéu & M B Gavela)CP Violation in the Standard Model with Four Families (A Datta & E A Paschos)CP Effects When Neutrinos are their Own Antiparticles (B Kayser)On Spontaneous CP Violation Triggered by Scalar Bosons (I I Bigi & A I Sanda)CP Violation and Left-Right Symmetry (R N Mohapatra)CP Violation and Supersymm...