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A convenient tool to obtain numerical methods specially tuned on oscillating functions is exponential fitting. Such methods are needed in various branches of natural sciences, particularly in physics, since a lot of physical phenomena…

Numerical Analysis · Mathematics 2007-05-23 Hans Van de Vyver

The machine learning explosion has created a prominent trend in modern computer hardware towards low precision floating-point operations. In response, there have been growing efforts to use low and mixed precision in general scientific…

Numerical Analysis · Mathematics 2024-03-19 Cody J. Balos , Steven Roberts , David J. Gardner

In this paper, we use the KK-theory of Kasparov to prove exactness of sequences relating the K-theory of a real C^*-algebra and of its complexification (generalizing results of Boersema). We use this to relate the real version of the…

K-Theory and Homology · Mathematics 2014-10-01 Thomas Schick

This paper is devoted to the design and analysis of a numerical algorithm for approximating solutions of a degenerate cross-diffusion system, which models particular instances of taxis-type migration processes under local sensing…

Numerical Analysis · Mathematics 2025-10-09 Juan Vicente Gutiérrez-Santacreu

We discuss the connections between the complex SYK model at the conformal limit and warped conformal field theories. Both theories have an $SL(2,R) \times U(1)$ global symmetry. We present comparisons on symmetries, correlation functions,…

High Energy Physics - Theory · Physics 2019-01-30 Pankaj Chaturvedi , Yingfei Gu , Wei Song , Boyang Yu

Ensemble density functional theory (EDFT) is a promising alternative to time-dependent density functional theory for computing electronic excitation energies. Using coordinate scaling, we prove several fundamental exact conditions in EDFT…

Strongly Correlated Electrons · Physics 2023-07-04 Thais R. Scott , John Kozlowski , Steven Crisostomo , Aurora Pribram-Jones , Kieron Burke

Quantum error correction (QEC) is a key concept in quantum computation as well as many areas of physics. There are fundamental tensions between continuous symmetries and QEC. One vital situation is unfolded by the Eastin--Knill theorem,…

Quantum Physics · Physics 2023-12-11 Zi-Wen Liu , Sisi Zhou

The current status of theoretical work and experimental analyses on power corrections in QCD for e+e- annihilation will be reviewed. Measurements of the number of active quark flavours n_f and the QCD colour factors C_A and C_F derived from…

High Energy Physics - Experiment · Physics 2009-10-31 Stefan Kluth

A spin-current density-functional theory (SCDFT) is introduced, which takes into account currents of the spin-density and thus currents of the magnetization in addition to the electron density, the non-collinear spin-density, and the…

Materials Science · Physics 2009-11-11 Stefan Rohra , Andreas Goerling

A brief review of electroweak precision data from LEP, SLC, the Tevatron, and low energies is presented. The global fit to all data including the most recent results on the masses of the top quark and the W boson reinforces the preference…

High Energy Physics - Phenomenology · Physics 2009-11-11 Jens Erler

The one dimensional distribution of a L\'{e}vy process is not known in general even though its characteristic function is given by the famous L\'{e}vy-Khinchine theorem. This article gives an exact series representation for the one…

Probability · Mathematics 2008-09-15 Heikki J. Tikanmäki

By introducing an operator sum representation for arbitrary linear maps, we develop a generalized theory of quantum error correction (QEC) that applies to any linear map, in particular maps that are not completely positive (CP). This theory…

Quantum Physics · Physics 2009-10-21 A. Shabani , D. A. Lidar

In the present work, we perform a combined analysis of the cross sections for $e^+ e^- \to K^+ K^-$ and $e^+ e^- \to K_S^0 K_L^0$ by including the interference between direct coupling process and resonance intermediate process. When setting…

High Energy Physics - Phenomenology · Physics 2025-04-29 Dian-Yong Chen , Jing Liu , Yu Bai , Chun-Hua Liu , Wen-Biao Yan , Zhao-Xia Meng

In this paper, we describe the generation of the CPT-even, aether-like terms via the new CPT-even magnetic-like coupling. We carry out a study the loop corrections generated by this coupling. Previous investigations has been initiated on…

High Energy Physics - Theory · Physics 2017-11-16 H. Belich , T. Mariz , J. R. Nascimento , A. Yu. Petrov

Mechanistic interpretability has identified functional subgraphs within large language models (LLMs), known as Transformer Circuits (TCs), that appear to implement specific algorithms. Yet we lack a formal, single-pass way to quantify when…

Machine Learning · Computer Science 2026-04-07 Anatoly A. Krasnovsky

We present results from SMEFiT3.0, a global SMEFT fit of Higgs, top quark, and diboson production data from the LHC. Our updated analysis includes recent inclusive and differential measurements from the LHC Run II, together with the exact…

High Energy Physics - Phenomenology · Physics 2026-02-04 Eugenia Celada

The most recent progress and future prospects in kaon physics are reviewed. Main results are the first observation of the rare decays KS->pi0ee and KS->pi0mumu by NA48, new K+->pinunu event observed by E949 and new precision measurements of…

High Energy Physics - Experiment · Physics 2010-11-23 I. Mikulec

A recently published correlated electron pseudopotentials (CEPPs) method has been adapted for application to the 3d-transition metals, and to include relativistic effects. New CEPPs are reported for the atoms Sc$-$Fe, constructed from…

Materials Science · Physics 2015-06-24 John Trail , Richard Needs

We introduce the computer algebra package {\sf PyCox}, written entirely in the {\sf Python} language. It implements a set of algorithms - in a spirit similar to the older {\sf CHEVIE} system - for working with Coxeter groups and Hecke…

Representation Theory · Mathematics 2019-02-20 Meinolf Geck

In this paper implicit and explicit exact difference schemes (EDS) for system $\textbf{x}' = A\textbf{x}$ of three linear differential equations with constant coefficients are constructed. Numerical simulations for stiff problem and for…

Numerical Analysis · Mathematics 2017-02-03 Quang A Dang , Manh Tuan Hoang