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We study the problem of transforming a multi-way contingency table into an equivalent table with uniform margins and same dependence structure. This is an old question which relates to recent advances in copula modeling for discrete random…

Statistics Theory · Mathematics 2025-04-10 Roberto Fontana , Elisa Perrone , Fabio Rapallo

We study the relationship between singularity categories and relative singularity categories and discuss constructions of differential graded algebras of relative singularity categories. As consequences, we obtain structural results, which…

Algebraic Geometry · Mathematics 2018-03-23 Martin Kalck , Dong Yang

Duality of curves is one of the important aspects of the ``classical'' algebraic geometry. In this paper, using this foundation, the duality of tropical polynomials is constructed to introduce the duality of Non-Archimedean curves. Using…

Algebraic Geometry · Mathematics 2007-05-23 Zur Izhakian

In this paper we study the subcategory of finite-length objects of the category of positive level integrable representations of a toroidal Lie algebra. The main goal is to characterize the blocks of the category. In the cases when the…

Representation Theory · Mathematics 2018-07-23 Tanusree Khandai

Let M be a simple 3-manifold with a toral boundary component partial_0 M. If Dehn filling M along partial_0 M one way produces a toroidal manifold and Dehn filling M along partial_0 M another way produces a boundary-reducible manifold, then…

Geometric Topology · Mathematics 2007-05-23 C. McA. Gordon , J. Luecke

This paper introduces the notion of twisted toric manifolds which is a generalization of one of symplectic toric manifolds, and proves the weak Delzant type classification theorem for them. The computation methods for their fundamental…

Symplectic Geometry · Mathematics 2007-05-23 Takahiko Yoshida

We study subsets S of curves X whose double structure does not impose independent conditions to a linear series L, but there are divisors D in |L| singular at all points of S. These subsets form the Terracini loci of X. We investigate…

Algebraic Geometry · Mathematics 2023-05-04 Edoardo Ballico , Luca Chiantini

We give a complete description of Green's D relation for the multiplicative semigroup of all n-by-n tropical matrices. Our main tool is a new variant on the duality between the row and column space of a tropical matrix (studied by Cohen,…

Rings and Algebras · Mathematics 2014-02-26 Christopher Hollings , Mark Kambites

We characterize the spectrum (and its parts) of operators which can be represented as G=A+BC for a simpler operator A and a structured perturbation BC. The interest in this kind of perturbations is motivated, e.g., by perturbations of the…

Spectral Theory · Mathematics 2016-10-05 Martin Adler , Klaus-Jochen Engel

A very interesting problem in the classical theory of minimal surfaces consists of the classification of such surfaces under some geometrical and topological constraints. In this short paper, we give a brief summary of the known…

Differential Geometry · Mathematics 2007-05-23 M. Magdalena Rodriguez

We consider spinorial fields in polar form to deduce their respective tensorial connection in various physical situations: we show that in some cases the tensorial connection is a useful tool, instead in other cases it arises as a necessary…

Mathematical Physics · Physics 2023-03-15 Luca Fabbri

We initiate the computability-theoretic study of ringed spaces and schemes. In particular, we show that any Turing degree may occur as the least degree of an isomorphic copy of a structure of these kinds. We also show that these structures…

Logic · Mathematics 2011-11-10 Wesley Calvert , Valentina Harizanov , Alexandra Shlapentokh

Brane Box Models of intersecting NS and D5 branes are mapped to D3 branes at C^3/Gamma orbifold singularities and vise versa, in a setup which gives rise to N=1 supersymmetric gauge theories in four dimensions. The Brane Box Models are…

High Energy Physics - Theory · Physics 2010-04-06 Amihay Hanany , Angel M. Uranga

The presence of a boundary (or defect) in a conformal field theory allows one to generalize the notion of an exactly marginal deformation. Without a boundary, one must find an operator of protected scaling dimension $\Delta$ equal to the…

High Energy Physics - Theory · Physics 2020-02-19 Christopher P. Herzog , Itamar Shamir

Let $M$ be a non-zero binary matrix with distinct rows where the rows are closed under certain logical operators. In this article, we investigate the existence of columns containing an equal or greater number of ones than zeros.…

Combinatorics · Mathematics 2023-09-12 Mohammad Javad Moghaddas Mehr

We discuss issues related to orientifolds and the brane realization for gauge theories with orthogonal and symplectic groups. We specifically discuss the case of theories with (hidden) global SO(2n) symmetry, from three to six dimensions.…

High Energy Physics - Theory · Physics 2009-10-31 Amihay Hanany , Alberto Zaffaroni

In this note, we show that a von Neumann algebra can be written as the linking von Neumann algebra of a W*-TRO if and only if it contains no abelian direct summand. We also provide some new characterizations of nuclear TROs and…

Operator Algebras · Mathematics 2025-04-29 Liguang Wang , Hongjie Chen , Ngai-Ching Wong

In this paper, we introduce a notion of twisted Roe algebra and a twisted coarse Baum-Connes conjecture with coefficients. We will study the basic properties of twisted Roe algebras, including a coarse analogue of the imprimitivity theorem…

K-Theory and Homology · Mathematics 2025-05-27 Jintao Deng , Liang Guo

Let V be an n-dimensional vector space and let On be the orthogonal group. Motivated by a question of B. Szegedy (B. Szegedy, Edge coloring models and reflection positivity, Journal of the American Mathematical Society Volume 20, Number 4,…

Combinatorics · Mathematics 2012-09-20 Jan Draisma , Guus Regts

Some aspects of analysis on disconnected open subsets of the plane with connected fractal boundary are discussed.

Classical Analysis and ODEs · Mathematics 2007-10-02 Stephen Semmes