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We investigate weak approximation away from a finite set of places for a class of biquadratic fourfolds inside $\mathbb{P}^3 \times \mathbb{P}^2$, some of which appear in the recent work of Hassett--Pirutka--Tschinkel.

Algebraic Geometry · Mathematics 2025-03-07 Nick Rome

We introduce a notion of a weak Poisson structure on a manifold $M$ modeled on a locally convex space. This is done by specifying a Poisson bracket on a subalgebra $\cA \subeq C^\infty(M)$ which has to satisfy a non-degeneracy condition…

Differential Geometry · Mathematics 2014-02-28 K. -H. Neeb , H. Sahlmann , T. Thiemann

We investigate stability properties of indirectly damped systems of evolution equations in Hilbert spaces, under new compatibility assumptions. We prove polynomial decay for the energy of solutions and optimize our results by interpolation…

Optimization and Control · Mathematics 2014-01-29 F. Alabau-Boussouira , P. Cannarsa , R. Guglielmi

We generalize Kirchberg's weak exactness to inclusions of C*-algebras in von Neumann algebras and study some characterizations and permanence properties which are similar to those of exact groups. We then consider a similar condition to…

Operator Algebras · Mathematics 2014-01-28 Yusuke Isono

Bondi-like (single-null) characteristic formulations of general relativity are used for numerical work in both asymptotically flat and anti-de Sitter spacetimes. Well-posedness of the resulting systems of partial differential equations,…

General Relativity and Quantum Cosmology · Physics 2020-10-09 Thanasis Giannakopoulos , David Hilditch , Miguel Zilhao

Algebra bundles, in the strict sense, appear in many areas of geometry and physics. However, the structure of an algebra is flexible enough to vary non-trivially over a connected base, giving rise to a structure of a weak algebra bundle. We…

Algebraic Geometry · Mathematics 2018-11-26 Clarisson Rizzie Canlubo

A general theory has been developed for a polydisperse semi-flexible multi-block copolymer melt. Using the Bawendi-Freed approach to model semi-flexible chains an expression for the Landau free energy is derived in the weak segregation…

Soft Condensed Matter · Physics 2023-03-22 P. M. Jager , W. J. Briels , J. J. M. Slot

In this paper, as a step towards a unified mathematical treatment of the gauge functionals from quantum field theory that have found profound applications in mathematics, we generalize the Seiberg-Witten functional that in particular…

Analysis of PDEs · Mathematics 2024-01-19 Wanjun Ai , Shuhan Jiang , Jürgen Jost

We investigate the internal structure of near-threshold states in a system with a repulsive Coulomb interaction combined with a short-range potential, using the compositeness. We construct a model in which the eigenmomentum is expressed in…

High Energy Physics - Phenomenology · Physics 2025-07-31 Tomona Kinugawa , Tetsuo Hyodo

As a weak-coupling analogue of hole-doped $S=1$ Haldane systems, we study two models for coupled chains via Hund coupling; coupled Hubbard chains, and a Hubbard chain coupled with an $S=1/2$ Heisenberg chain. The fixed point properties of…

Condensed Matter · Physics 2009-10-28 S. Fujimoto , N. Kawakami

We present a new gauge fixing condition for the Weinberg-Salam electro-weak theory at finite temperature and density. After spontaneous symmetry breaking occurs, every unphysical term in the Lagrangian is eliminated with our gauge fixing…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. Loewe , S. Mendizabal , J. C. Rojas

A note on the property of weak contraction, which implies that all bounded solutions of a nonlinear system converge to a (possibly non-unique) equilibrium. We provide some simple results about interconnections of such systems, and a brief…

Optimization and Control · Mathematics 2015-10-13 Ian R. Manchester , Jean-Jacques E. Slotine

We consider the leading-order expression at weak-coupling for a single-site large-N gauge theory coupled to adjoint fermions. We study the case of overlap and wilson fermions. We extend the theory to real values of the number of fermion…

High Energy Physics - Lattice · Physics 2013-06-26 Robert Lohmayer , Rajamani Narayanan

We study a general class of percolation models in Euclidean space including long-range percolation, scale-free percolation, the weight-dependent random connection model and several other previously investigated models. Our focus is on the…

Probability · Mathematics 2023-03-08 Christian Mönch

Relations among the effective hadron masses and the effective interactions in nuclear matter are studied by using the generalized relativistic mean field theory. We found that we can make the effective omega-meson mass smaller and the…

Nuclear Theory · Physics 2009-11-10 Hiroaki Kouno , Yasushi Horinouchi , Kunito Tuchitani

The objective of this paper is to describe the structure of Zariski closed algebras, which provide a useful generalization to finite dimensional algebras in the study of representable algebras over finite fields. Our results include a…

Rings and Algebras · Mathematics 2011-09-23 Alexei Belov-Kanel , Louis H. Rowen , Uzi Vishne

Fixed point iterations are a fundamental tool in numerical analysis and scientific computing for the approximation of solutions to nonlinear problems. Their convergence is often established via the Banach fixed point theorem, provided that…

Numerical Analysis · Mathematics 2026-04-29 Thomas P. Wihler

Effective field theory provides a way of parameterizing strong-field deviations from General Relativity that might be observable in the gravitational waves emitted in a black hole merger. To perform numerical simulations of mergers in such…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Aron D. Kovacs , Harvey S. Reall

We investigate the properties of Lindblad equations on $d$-dimensional lattices supporting a unique steady-state configuration. We consider the case of a time evolution weakly symmetric under the action of a finite group $G$, which is also…

Quantum Physics · Physics 2020-02-26 Davide Nigro

The pole structure of the $\Lambda(1405)$ is examined by fitting the couplings of an underlying Hamiltonian effective field theory to cross sections of $K^- p$ scattering in the infinite-volume limit. Finite-volume spectra are then obtained…

Nuclear Theory · Physics 2017-02-01 Zhan-Wei Liu , Jonathan M. M. Hall , Derek B. Leinweber , Anthony W. Thomas , Jia-Jun Wu