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We introduce a family of real random variables $(\beta,\theta)$ arising from the supersymmetric nonlinear sigma model and containing the family $\beta$ introduced by Sabot, Tarr\`es, and Zeng [STZ17] in the context of the vertex-reinforced…

概率论 · 数学 2017-10-09 Margherita Disertori , Franz Merkl , Silke W. W. Rolles

We extend some classical constructions in commutative algebra to the setting of modules over orders in (non-commutative) semisimple algebras. Our theory incorporates, inter alia, `reduced' versions of the notions of higher Fitting…

数论 · 数学 2025-09-16 David Burns , Takamichi Sano

We give $\operatorname{CMSO}$-transductions that, given a graph $G$, output its modular decomposition, its split decomposition and its bi-join decomposition. This improves results by Courcelle [Logical Methods in Computer Science, 2006] who…

计算机科学中的逻辑 · 计算机科学 2026-05-12 Rutger Campbell , Bruno Guillon , Mamadou Moustapha Kanté , Eun Jung Kim , Noleen Köhler

We introduce a new approach for the study of the Problem of Iterates using the theory on general ultradifferentiable structures developed in the last years. Our framework generalizes many of the previous settings including the Gevrey case…

偏微分方程分析 · 数学 2022-12-26 Stefan Fürdös , Gerhard Schindl

We consider the Rosenfeld-Groebner algorithm for computing a regular decomposition of a radical differential ideal generated by a set of ordinary differential polynomials in n indeterminates. For a set of ordinary differential polynomials…

交换代数 · 数学 2009-02-25 Oleg Golubitsky , Marina Kondratieva , Marc Moreno Maza , Alexey Ovchinnikov

In this paper, a Gaifman-Shapiro-style module architecture is tailored to the case of Smodels programs under the stable model semantics. The composition of Smodels program modules is suitably limited by module conditions which ensure the…

人工智能 · 计算机科学 2008-09-29 Emilia Oikarinen , Tomi Janhunen

In this paper, we propose a definition of Neron models of arbitrary Deligne 1-motives over Dedekind schemes, extending Neron models of semi-abelian varieties. The key property of our Neron models is that they satisfy a generalization of…

数论 · 数学 2019-11-01 Takashi Suzuki

We develop the local Morse theory for a class of non-twice continuously differentiable functionals on Hilbert spaces, including a new generalization of the Gromoll-Meyer's splitting theorem and a weaker Marino-Prodi perturbation type…

泛函分析 · 数学 2017-02-23 Guangcun Lu

We study two-stage stochastic optimization models with mixed-integer decision variables appearing in both stages. For these models, dual decomposition enables parallel computing implementation and can quickly provide a lower bound for the…

最优化与控制 · 数学 2026-05-15 Pengyu Zhang , Ruiwei Jiang

We present a method to derive new explicit expressions for bidiagonal decompositions of Vandermonde and related matrices such as the (q-, h-) Bernstein-Vandermonde ones, among others. These results generalize the existing expressions for…

Based on the Kupershmidt deformation for any integrable bi-Hamiltonian systems presented in [4], we propose the generalized Kupershmidt deformation to construct new systems from integrable bi-Hamiltonian systems, which provides a…

可精确求解与可积系统 · 物理学 2015-05-18 Yuqin Yao , Yunbo Zeng

General Geronimus transformations, defined by regular matrix polynomials that are neither required to be monic nor restricted by the rank of their leading coefficients, are applied through both right and left multiplication to a rectangular…

经典分析与常微分方程 · 数学 2024-11-26 Manuel Mañas , Miguel Rojas

We study the structure of an algebraic supergroup $\mathbb{G}$ and establish the Borel-Weil theorem for $\mathbb{G}$ to give a systematic construction of all simple supermodules over an arbitrary field. Especially when $\mathbb{G}$ has a…

表示论 · 数学 2020-11-17 Taiki Shibata

We prove the semisimplicity conjecture for A-motives over finitely generated fields K. This conjecture states that the rational Tate modules V_p(M) of a semisimple A-motive M are semisimple as representations of the absolute Galois group of…

数论 · 数学 2019-02-20 Nicolas Stalder

We present upgraded theoretical predictions for inclusive and exclusive radiative decays of {\it B} mesons. Our results include those next-to-leading order corrections that have already been computed. Our best estimates in the Standard…

高能物理 - 唯象学 · 物理学 2009-10-28 M. Ciuchini , E. Franco , G. Martinelli , L. Reina , L. Silvestrini

By introducing the notion of distributive constant for a family of closed subschemes, we establish a general form of the second main theorem for algebraic nondegenerate meromorphic mappings from a generalized $p$-Parabolic manifold into a…

复变函数 · 数学 2026-02-17 Si Duc Quang

We generalize the notion of the submartingale property and Doob's inequality. Furthermore, we show how the latter leads to new inequalities for several stochastic processes: certain time series, Levy processes, random walks, processes with…

概率论 · 数学 2018-12-24 János Engländer

This work presents an entropy stable discontinuous Galerkin (DG) spectral element approximation for systems of non-linear conservation laws with general geometric (h) and polynomial order (p) non-conforming rectangular meshes. The crux of…

We develop a new approach to prove multiplier theorems in various geometric settings. The main idea is to use martingale transforms and a Gundy-Varopoulos representation for multipliers defined via a suitable extension procedure. Along the…

概率论 · 数学 2021-07-13 Rodrigo Bañuelos , Fabrice Baudoin , Li Chen , Yannick Sire

We investigate the modular properties of Generalised Gibbs Ensembles (GGEs) in two dimensional conformal field theories. These are obtained by inserting higher spin charges in the expressions for the partition function of the theory. We…

高能物理 - 理论 · 物理学 2025-03-12 Max Downing , Faisal Karimi