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We consider the closed string propagating in the weakly curved background which consists of constant metric and Kalb-Ramond field with infinitesimally small coordinate dependent part. We propose the procedure for constructing the T-dual…

High Energy Physics - Theory · Physics 2014-03-03 Lj. Davidović , B. Sazdović

We investigate vector-valued Gabor frames (sometimes called Gabor superframes) based on Hermite functions $H_n$. Let $h= (H_0, H_1, ..., H_n)$ be the vector of the first $n+1$ Hermite functions. We give a complete characterization of all…

Functional Analysis · Mathematics 2010-12-21 Karlheinz Gröchenig , Yurii Lyubarskii

We characterize having Borel isomorphism relation among some weakly minimal trivial theories, namely the examples of families of finite equivalence relations from recent joint work with Laskowski, and tame expansions of…

Logic · Mathematics 2024-09-23 Danielle Ulrich

Inspired by Emerton's work for GL(2), we study the completed cohomology of the tower of finite sets associated with a definite unitary group in two variables. When p splits (and other technical assumptions are fulfilled), we show that the…

Number Theory · Mathematics 2013-04-18 Przemyslaw Chojecki , Claus Sorensen

In representations using frames, oblique duality appears in situations where the analysis and the synthesis has to be done in different subspaces. In some cases, we cannot obtain an explicit expression for the oblique duals and in others…

Functional Analysis · Mathematics 2023-05-01 Jorge P. Díaz , Sigrid B. Heineken , Patricia M. Morillas

We establish the weak continuity of the Gauss-Coddazi-Ricci system for isometric embedding with respect to the uniform $L^p$-bounded solution sequence for $p>2$, which implies that the weak limit of the isometric embeddings of the manifold…

Analysis of PDEs · Mathematics 2009-04-24 Gui-Qiang Chen , Marshall Slemrod , Dehua Wang

There have been thousands of cosmological models for our early universe proposed in the literature, and many of them claimed to be able to give rise to scale-invariant power spectrum as was favored by the observational data. It is thus…

General Relativity and Quantum Cosmology · Physics 2021-09-15 Jiaming Shi , Zheng Fang , Taotao Qiu

The weak-binding relation is a useful tool to study the internal structure of hadrons from the observable quantities. We introduce the range correction in the weak-binding relation for the system having a sizable magnitude of the effective…

High Energy Physics - Phenomenology · Physics 2022-01-13 Tomona Kinugawa , Tetsuo Hyodo

We carefully analyze the conditions for an abelian gauged linear sigma-model to exhibit nontrivial IR behavior described by a nonsingular superconformal field theory determining a superstring vacuum. This is done without reference to a…

High Energy Physics - Theory · Physics 2015-07-02 Paul S. Aspinwall , M. Ronen Plesser

In this paper we introduce a new semicontinuity notion, which is weaker than upper semicontinuity, and assures the closedness of the sets $G(y)=\{x\in K: f(x,y)\not\in -\inte C\}.$ Furhter, this semicontinuity is also closed under addition.…

Functional Analysis · Mathematics 2017-08-23 Szilárd László

The concept of a weak factorization system has been studied extensively in homotopy theory and has recently found an application in one of the proofs of the celebrated flat cover conjecture, categorical versions of which have been presented…

Group Theory · Mathematics 2013-02-04 Alex Bailey , James Renshaw

We introduce the notion of doubling and r-tupling for simplicial complexes, a notion reminiscent to that of matching complexes in graph theory. We prove a connectivity result for such complexes and relate r-tupling to stabilizing r times…

Combinatorics · Mathematics 2025-06-13 Kathryn Lesh , Bridget Schreiner , Nathalie Wahl

We construct a weak KAM theory for parameterized cobordisms and their relaxation, holonomic measures. We find a weak kam solution in that context, and we show that in many cases it corresponds to an exact form that satisfies a version of…

Dynamical Systems · Mathematics 2025-07-08 Rodolfo Rios-Zertuche

The aim of this paper is to introduce an algebraic structure on the set of all coalgebras with the same state space over the given type which allows us to present definitions of weak and delay bisimulation for coalgebras. Additionally, we…

Logic in Computer Science · Computer Science 2013-09-06 Tomasz Brengos

We compute the defect of weak approximation for a reductive group G over a global field K in terms of the algebraic fundamental group of G.

Representation Theory · Mathematics 2025-08-22 Mikhail Borovoi , Jean-Louis Colliot-Thélène

A dominating set $S$ of graph $G$ is called an $r$-grouped dominating set if $S$ can be partitioned into $S_1,S_2,\ldots,S_k$ such that the size of each unit $S_i$ is $r$ and the subgraph of $G$ induced by $S_i$ is connected. The concept of…

Data Structures and Algorithms · Computer Science 2023-02-15 Tesshu Hanaka , Hirotaka Ono , Yota Otachi , Saeki Uda

We study the question of weak solvability for a nonlinear coupled parabolic system that models the evolution of a complex pedestrian flow. The main feature is that the flow is composed of a mix of densities of active and passive pedestrians…

Analysis of PDEs · Mathematics 2019-10-14 T. K. Thoa Thieu , Matteo Colangeli , Adrian Muntean

In this paper, we propose a new conjecture describing the structure of the unitary dual in terms of Arthur representations for connected reductive algebraic groups defined over any non-Archimedean local field of characteristic zero. This…

Representation Theory · Mathematics 2026-02-11 Alexander Hazeltine , Dihua Jiang , Baiying Liu , Chi-Heng Lo , Qing Zhang

We derive schemes to measure the so-called weak values of quantum system observables by coupling of the system to a qubit meter system. We highlight, in particular, the meaning of the imaginary part of the weak values, and show how it can…

Quantum Physics · Physics 2015-05-14 Shengjun Wu , Klaus Mølmer

Strong-weak duality invariance can only be defined for particular sectors of supersymmetric Yang-Mills theories. Nevertheless, for full non-Abelian non-supersymmetric theories, dual theories with inverted couplings, have been found. We show…

High Energy Physics - Theory · Physics 2009-10-31 H. Garcia-Compean , O. Obregon , C. Ramirez