Results 21 to 30 of about 2,994 (68)
World sheets of spinning particles
, 2017 The classical spinning particles are considered such that quantization of classical model leads to an irreducible massive representation of the Poincar\'e group.
Kaparulin, D. S., Lyakhovich, S. L.
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Soft bounds for local triple products and the subconvexity‐QUE implication for GL2$\mathrm{GL}_2$
Mathematika, Volume 71, Issue 4, October 2025.Abstract We give a soft proof of a uniform upper bound for the local factors in the triple product formula, sufficient for deducing effective and general forms of quantum unique ergodicity (QUE) from subconvexity.
Paul D. Nelson
wiley +1 more source
Tropical conics for the layman [PDF]
, 2008 We present a simple and elementary procedure to sketch the tropical conic given by a degree--two homogeneous tropical polynomial. These conics are trees of a very particular kind.
Ansola, M., de la Puente, M. J.
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Analysis of density matrix embedding theory around the non‐interacting limit
Communications on Pure and Applied Mathematics, Volume 78, Issue 8, Page 1359-1410, August 2025.Abstract This article provides the first mathematical analysis of the Density Matrix Embedding Theory (DMET) method. We prove that, under certain assumptions, (i) the exact ground‐state density matrix is a fixed‐point of the DMET map for non‐interacting systems, (ii) there exists a unique physical solution in the weakly‐interacting regime, and (iii ...
Eric Cancès +4 more
wiley +1 more source
Advanced Energy and Sustainability Research, Volume 6, Issue 7, July 2025.A rapid design strategy is presented for efficient Al‐doped Mn3O4‐based photocatalysts by integrating density functional theory calculations, machine learning (ML) modeling, and experiments. The optimized Al0.5Mn2.5O4/35 wt%‐Ag3PO4 heterojunctions achieved a 27‐fold improvement in methylene blue degradation under visible light compared to pristine ...
Haoxin Mai +6 more
wiley +1 more source
Note on Integer Factoring Methods IV [PDF]
, 2006 This note continues the theoretical development of deterministic integer factorization algorithms based on systems of polynomials equations. The main result establishes a new deterministic time complexity bench mark in integer factorization.Comment: 20 ...
Carella, N. A.
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Improving the Convergence of Markov Chains via Permutations and Projections
Random Structures &Algorithms, Volume 66, Issue 4, July 2025.ABSTRACT This paper aims at improving the convergence to equilibrium of finite ergodic Markov chains via permutations and projections. First, we prove that a specific mixture of permuted Markov chains arises naturally as a projection under the KL divergence or the squared‐Frobenius norm.
Michael C. H. Choi +2 more
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Stabilized Krylov Subspace Recurrences via Randomized Sketching
Numerical Linear Algebra with Applications, Volume 32, Issue 3, June 2025.ABSTRACT Recurrences building orthonormal bases for polynomial Krylov spaces have been classically used for approximation purposes in various numerical linear algebra contexts. Variants aiming to limit memory and computational costs by using truncated recurrences often have convergence constraints.
Valeria Simoncini, YiHong Wang
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Structure of hyperbolic polynomial automorphisms of C2${\mathbb {C}^2}$ with disconnected Julia sets
Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.Abstract For a hyperbolic polynomial automorphism of C2$\mathbb {C}^2$ with a disconnected Julia set, and under a mild dissipativity condition, we give a topological description of the components of the Julia set. Namely, there are finitely many “quasi‐solenoids” that govern the asymptotic behavior of the orbits of all nontrivial components.
Romain Dujardin, Mikhail Lyubich
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Singular Electromagnetics: From Phase Singularities to Optical Skyrmions and Beyond
Advanced Physics Research, Volume 4, Issue 5, May 2025.Singular electromagnetics/optics studies multidimensional topological defects of electromagnetic fields (also known as optical singularities), including phase and polarization singularities, 3D singularities (e.g., optical skyrmions, merons, hopfions, knots, links, and Möbius strips), and even higher‐dimensional singularities.
Jie Yang +3 more
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