Related papers: Comments on Arithmetic Teichmuller Spaces

The paper contains a survey of the results obtained during the last ten years in the theory of elliptic boundary problems in H\"ormander function spaces, developed by the authors, and other related results of modern analysis. The basics of…

Comment on ``Lancaster Probabilities and Gibbs Sampling'' [arXiv:0808.3852]

We study the Lipschitz metric on Teichmuller space (defined by Thurston) and compare it with the Teichmuller metric. We show that in the thin part of Teichmuller space the Lipschitz metric is approximated up to bounded additive distortion…

We give an explicit description of the Barr- and Diaconescu covers of the arithmetic site, which are relevant to cohomology. Further, we construct the arithmetic site as the commutative shadow of a non-commutative topological space.

This is an expository article concerning the last section "Why is the tangent space a group?" (section 8) of the article by A. Bellaiche, The tangent space in sub-riemannian geometry, from the viewpoint of emergent algebras.

Results of the experiments carried out in [Shahriar S. Afshar, Proc. SPIE bf 5866 (2005) 229-244] and [Shahriar S. Afshar, AIP Cof. Proc. 810, (2006) 294-299] are reviewed and their interpretation by the authors is questioned. Arguments are…

Comment on "Biases in the Quasar Mass-Luminosity Plane"

This paper contains some results about Teichm\"uller spaces of non-orientable surfaces (Klein surfaces). We prove several theorems giving isomorphisms between deformation spaces of Klein surfaces. These results show the similarity between…

We survey some results on toric topology.

Comment on ``On Random Scan Gibbs Samplers'' [arXiv:0808.3852]

We make explicit in terms of categories a number of statements from the theory of partial inner product spaces (PIP spaces) and operators on them. In particular, we construct sheaves and cosheaves of operators on certain PIP spaces of…

This is an introductory article to the theory of multiple gaps.

We provide a commentary on Teichm{\"u}ller's paper "Extremale quasikonforme Abbildungen und quadratische Differentiale" (Extremal quasiconformal mappings of closed oriented Riemann surfaces), Abh. Preuss. Akad. Wiss., Math.-Naturw. Kl.…

Lecture notes on Finsler Geometry

We compute the Dixmier trace of Hankel operator on the weighted Bergman space. The same result of the Bergman space has been shown by Englis and Rochberg.

The linear isometries between weighted Banach spaces of continuous functions are considered. Some of well known theorems on isometries between spaces of continuous functions are proved and stated, but all they are in an appropriate form. In…

In this paper we introduce the twistor space of a Riemannian manifold with an even Clifford structure. This notion generalizes the twistor space of quaternion-Hermitian manifolds and weak-Spin(9) structures. We also construct almost complex…

This is a version of a part of the book ``Transformations of Grassman Spaces'' (in progress). We study transformations of Grassman spaces preserving certain geometrical constructions related to buildings. The next part will be devoted to…

Braided sets which are also spaces with dilations are presented and explored in this paper, in the general frame of emergent algebras arxiv:0907.1520. Examples of such spaces are the sub-riemannian symmetric spaces. Keywords: braided sets,…

We comment on the paper "Teleportation with a uniformly accelerated partner" (quant-ph/0302179).