Lecture 7: Lower bounds on the embeddability in via expander graphs and some algorithmic connections to

Lexicographic products and a conjecture of Hahn and Jackson. (English summary)

Lecture 7: Lower bounds on the embeddability in ¡£ ¢ via expander graphs and some algorithmic connections to ¡¥¤ Notes taken by Periklis Papakonstantinou revised by Hamed Hatami Summary: In view of Bourgain’s upper bound a central question in finite metric embeddings concerns explicit constructions

Hamed Hatami Summary: According to Johnson-Lindenstrauss Lemma there is a pro-log n jection from a Euclidian space to a subspace of dimension O ( ɛ2), that scales distances within a factor of 1 + ɛ. A natural extension of this result suggests the preservation of other geometric characteristics like

In this summary we review some recent developments in New Physics at the TeV scale. We concentrate on measure-ments at the ILC that can distinguish between some of the models that have recently been discussed, concentrating on results presented at this workshop: The Little Higgs Model, models

Summary. — We study top-(anti)quark pair production at the Tevatron and LHC in the context of the Minimal Length Scenario (MLS) of the Arkani-Hamed, Dimopoulos and Dvali (ADD) model of extra dimensions (XDs). We show that sizable effects onto both the integrated and differential cross section due

some paintings of some Egyptian artists, like Abd-Alhadi All-Gazar, Mohammed Hamed Oues and Abd- Alrahman Al-Nashar. The research revealed the social, national and political values included in in the above mentioned selected artworks to deep-rooting them in the whole members of the Egyptian society

experimental groups to search for such standard model violating processes, for a summary see e.g. [2]. Arkani-Hamed, Dimopoulos and Dvali [3] proposed a solution to the hierarchy problem by the introduction of d additional compactified spacelike dimensions in which only the gravitons can propagate

The recent discovery of dark energy has prompted an investigation of ways in which the accelerated expansion of the universe can be realized. In this dissertation, we present two separate projects related to dark energy. The first project analyzes a class of braneworld models in which multiple branes float in a five-dimensional anti-de Sitter bulk, while the second investigates a class of dark energy models from an effective field theory perspective. Investigations of models including extra dimensions have led to modifications of gravity involving a number of interesting features. In particular, the Randall-Sundrum model is well-known for achieving an amelioration of the hierarchy problem. However, the basic model relies on Minkowski branes and is subject to solar system constraints in the absence of a radion stabilization mechanism. We present a method by which a four-dimensional low-energy description can be obtained for braneworld scenarios, allowing for a number of generalizations to the original models. This method is applied to orbifolded and uncompactified N-brane models, deriving an effective four-dimensional action. The parameter space of this theory is constrained using observational evidence, and it is found that the generalizations do not weaken solar system constraints on the original model. Furthermore, we find that general