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In this article, we study the internal stabilization and control of the critical nonlinear Klein-Gordon equation on 3-D compact manifolds. Under a geometric assumption slightly stronger than the classical geometric control condition, we…

Analysis of PDEs · Mathematics 2010-05-02 Camille Laurent

We survey stability properties of several families of moduli spaces, with a focus on braid groups and configuration spaces.

Algebraic Topology · Mathematics 2022-02-02 Rita Jimenez Rolland , Jennifer C. H. Wilson

We give a new proof of the stability of the symmetric cube gamma factor as defined by the Langlands-Shahidi method.

Number Theory · Mathematics 2019-11-11 Daniel Shankman , Dongming She

In the present paper, we show the backward stability of the Schur decomposition for a given matrix under small perturbation.

Classical Analysis and ODEs · Mathematics 2021-10-29 Anastasiia Minenkova , Evelyn Nitch-Griffin , Vadim Olshevsky

We prove the stability of the equivariant embedding of compact strictly pseudoconvex CR manifolds with transversal CR circle action under circle invariant perturbations of the CR structures.

Complex Variables · Mathematics 2018-06-26 Chin-Yu Hsiao , Xiaoshan Li , George Marinescu

We prove Gray--Moser stability theorems for complementary pairs of forms of constant class defining symplectic pairs, contact-symplectic pairs and contact pairs. We also consider the case of contact-symplectic and contact-contact…

Symplectic Geometry · Mathematics 2007-05-23 G. Bande , P. Ghiggini , D. Kotschick

In this paper, we prove BG-type inequality conjecture for threefolds in the title. In particular, there exist Bridgeland stability conditions on these threefolds.

Algebraic Geometry · Mathematics 2020-07-28 Naoki Koseki

We prove the multiple cover formula conjecture for abelian surfaces for a large class of insertions, including all stationary invariants. The proof uses the reduced degeneration formula expressing the invariants in terms of the correlated…

Algebraic Geometry · Mathematics 2025-12-10 Thomas Blomme , Francesca Carocci

In this paper we compute the multiple cover Gromov-Witten integrals (analog of the Aspinwall-Morrison formula) for the unramified compactification of the moduli space of stable maps to an embedded $\PO$ in a Calabi-Yau threefold $X$ with…

Algebraic Geometry · Mathematics 2013-05-16 Iman Setayesh

In this article, we investigate the stability of syzygy bundles corresponding to ample and globally generated vector bundles on smooth irreducible projective surfaces.

Algebraic Geometry · Mathematics 2024-05-28 Snehajit Misra , Nabanita Ray

We introduce a new construction, the isotropy groupoid, to organize the orbit data for split $\Gamma$-spaces. We show that equivariant principal $G$-bundles over split $\Gamma$-CW complexes $X$ can be effectively classified by means of…

Geometric Topology · Mathematics 2013-02-12 Ian Hambleton , Jean-Claude Hausmann

We give a proof of the exponential uniform decay of magneto-elasticity waves in a compact medium

Mathematical Physics · Physics 2012-07-04 Luiz C L Botelho

We determine explicitly the Picard groups of the universal Jacobian stack and of its compactification over the stack of stable curves. Along the way, we prove some results concerning the gerbe structure of the universal Jacobian stack over…

Algebraic Geometry · Mathematics 2014-05-05 Margarida Melo , Filippo Viviani

In this paper, we study compact complex orbifolds. In the first part, we shows the equivalence of two notions of compact K\"ahler orbifold. In the second part, we shows various versions of Demailly's regularisation theorems for compact…

Algebraic Geometry · Mathematics 2023-02-24 Xiaojun Wu

We discuss the use of gauge fields to stabilize complex structure moduli in Calabi-Yau three-fold compactifications of heterotic string and M-theory. The requirement that the gauge fields in such models preserve supersymmetry leads to a…

High Energy Physics - Theory · Physics 2013-04-10 Lara B. Anderson , James Gray , Andre Lukas , Burt Ovrut

We prove that homological stability holds for configuration spaces of orbifolds. This builds on the work of Bailes' thesis where he proves that the stabilisation maps are injective.

Algebraic Topology · Mathematics 2016-05-05 Jeffrey Bailes , TriThang Tran

We show that Hardy's uncertainty principle can be reformulated in such a way that it has an analogue even for compact Lie groups and symmetric spaces of compact type.

Functional Analysis · Mathematics 2013-12-05 Sundaram Thangavelu

Proceeded from the gravitation equations proposed by one of authors it was argued in a previous paper that there can exist supermassive compact configurations of degenerated Fermi-gas without events horizon. In the present paper we consider…

Astrophysics · Physics 2009-11-13 L. Verozub , A. Kochetov

A theorem is proved to verify incremental stability of a feedback system via a homotopy from a known incrementally stable system. A first corollary of that result is that incremental stability may be verified by separation of Scaled…

Optimization and Control · Mathematics 2024-12-03 Thomas Chaffey , Andrey Kharitenko , Fulvio Forni , Rodolphe Sepulchre

We study avenues to shape multistability and shape-morphing in flexible crystalline membranes of cylindrical topology, enabled by glide mobility of dislocations. Using computational modeling, we obtain states of mechanical equilibrium…

Soft Condensed Matter · Physics 2022-03-23 Andrei Zakharov , Daniel A. Beller