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This survey builds on the two surveys by Wang and Lauret written almost a decade ago to give the current state of affairs regarding homogeneous Einstein spaces.

Differential Geometry · Mathematics 2021-11-19 Michael Jablonski

We show that any diffeomorphism of a compact manifold can be C1 approximated by diffeomorphisms exhibiting a homoclinic tangency or by diffeomorphisms having a partial hyperbolic structure.

Dynamical Systems · Mathematics 2011-03-07 Sylvain Crovisier , Martin Sambarino , Dawei Yang

Reply to the recent comment by I.Ispolatov and M.Karttunen, cond-mat/0303564

Statistical Mechanics · Physics 2007-05-23 D. H. E. Gross , E. V. Votyakov , A. De Martino

I comment briefly on derivations of the Born rule presented by Masanes et al. and by Hossenfelder.

Quantum Physics · Physics 2021-03-19 Blake C. Stacey

We show that a strong partially hyperbolic diffeomorphism of $\mathbb{T}^3$ isotopic to Anosov has a unique quasi-attractor. Moreover, we study the entropy of the diffeomorphism restricted to this quasi-attractor.

Dynamical Systems · Mathematics 2015-06-17 Rafael Potrie

The aim of this work is to establish some cases of the Caffarelli-Kohn-Nirenberg inequalities on the Heisenberg group for the fractional Sobolev spaces. Here we work with the fractional Sobolev spaces as given by Adimurthi and Mallick in…

Analysis of PDEs · Mathematics 2024-03-27 Rama Rawat , Haripada Roy , Prosenjit Roy

Letter to the Editor: Some comments on "On construction of the smallest one-sided confidence interval for the difference of two proportions" by Weizhen Wang [arXiv:1002.4945].

Statistics Theory · Mathematics 2012-11-16 Chris Lloyd , Paul Kabaila

We show the existence of a contractible periodic Reeb orbit for any contact structure supported by an open book whose binding can be realised as a hypersurface of restricted contact type in a subcritical Stein manifold. A key ingredient in…

Symplectic Geometry · Mathematics 2019-03-11 Max Dörner , Hansjörg Geiges , Kai Zehmisch

Replaced by a shorter version which appeared in press.

Complex Variables · Mathematics 2017-01-23 S. Ivashkovich , F. Meylan

These are my published answers to the seventeen questions posed by Max Schlosshauer in his 2011 book "Elegance and Enigma: the Quantum Interviews". I have inserted thirty footnotes into those answers, commenting on them from the perspective…

Quantum Physics · Physics 2013-01-29 N. David Mermin

This paper has been withdrawn by the author, since some results of the paper have been already obtained in [J.~Lewandowski, Class. Quantum Grav. 9 (1992), no. 10, L147--L151.]

Differential Geometry · Mathematics 2010-04-13 Anton S. Galaev

Using recent work on high dimensional Lutz twists and families of Weinstein structures we show that any almost contact structure on a 5-manifold is homotopic to a contact structure.

Symplectic Geometry · Mathematics 2013-02-05 John B. Etnyre

The aim of this work is to introduce and study some new types of generalizations of pairwise paralindeloff spaces, pairwise nearly paralindeloff and almost paralindeloff spaces. Some of their characterizations, properties and subsets are…

General Topology · Mathematics 2015-01-05 Hend Bouseliana , Adem Kilicman

Since it first emerged in Wijsman's seminal work [29], the Wijsman topology has been intensively studied in the past 50 years. In particular, topological properties of Wijsman hyperspaces, relationships between the Wijsman topology and…

General Topology · Mathematics 2016-09-13 Jiling Cao

This paper briefly discusses some questions with analytical and topological aspects, with hopefully some useful references on both sides.

Classical Analysis and ODEs · Mathematics 2007-05-23 Stephen Semmes

We establish abstract Adams isomorphisms in an arbitrary equivariantly presentable equivariantly semiadditive global category. This encompasses the well-known Adams isomorphism in equivariant stable homotopy theory, and applies more…

Algebraic Topology · Mathematics 2024-10-03 Bastiaan Cnossen , Tobias Lenz , Sil Linskens

We generalize a theorem of E. Michael and M. E. Rudin and a theorem of D. Preiss and P. Simon; we give, as well, some partial answers to a recent question of A. V. Arhangel'ski\v{\i}.

General Topology · Mathematics 2014-12-30 Georgi D. Dimov

We discuss a question by Felix, Oprea, and Tanre concerning nonnegative curvature and (rational) homotopy type.

Differential Geometry · Mathematics 2011-03-24 Anand Dessai , Wilderich Tuschmann

We answer several questions that have been Frequently Asked about QBism. These remarks (many of them lighthearted) should be considered supplements to more systematic treatments by the authors and others.

Quantum Physics · Physics 2019-04-16 John B. DeBrota , Blake C. Stacey

See hep-th/9903228.

High Energy Physics - Theory · Physics 2007-05-23 Joseph Polchinski , Leonard Susskind
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