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Mathematical programs with complementarity constraints (MPCCs) are a challenging class of nonlinear optimization problems, because their nonlinear programming reformulations violate standard constraint qualifications at every feasible…

Optimization and Control · Mathematics 2026-04-21 Armin Nurkanović

N-point energy correlators are powerful observables for studying strong interactions, with applications ranging from extractions of the strong coupling $\alpha_s$ to probes of jet modification in heavy-ion collisions and determination of…

High Energy Physics - Phenomenology · Physics 2026-03-19 Ankita Budhraja , Isabelle Pels , Wouter J. Waalewijn

This work studies time-dependent electromagnetic scattering from obstacles whose interaction with the wave is fully determined by a nonlinear boundary condition. In particular, the boundary condition studied in this work enforces a power…

Numerical Analysis · Mathematics 2023-10-30 Jörg Nick

We examine the transient scattered and transmitted fields generated when an incident electromagnetic wave impinges on a dielectric scatterer or a coated conductor embedded in an infinite space. By applying a boundary-field equation method,…

Analysis of PDEs · Mathematics 2024-12-19 George C. Hsiao , Tonatiuh Sánchez-Vizuet , Wolfgang L. Wendland

Quantum interference phenomena manifests itself in several ways in the polarized solar spectrum formed due to coherent scattering processes. One such effect arises due to interference between the fine structure (J) states giving rise to…

Solar and Stellar Astrophysics · Physics 2015-06-11 H. N. Smitha , K. Sowmya , K. N. Nagendra , M. Sampoorna , J. O. Stenflo

We investigate the modification in mesoscopic electronic transport due to electron-electron interactions making use of scattering states. We demonstrate that for a specific (finite range) interaction kernel, the knowledge of the scattering…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 David Oehri , Andrei V. Lebedev , Gordey B. Lesovik , Gianni Blatter

The effect of direct current component appearance in material with non-additive energy spectrum in the case when two electromagnetic waves with mutually transverse planes of polarization are incident normally on the surface of the sample is…

Mesoscale and Nanoscale Physics · Physics 2012-02-10 V. I. Konchenkov , S. V. Kryuchkov , D. V. Zav'yalov

We theoretically study a non-magnetic impurity effect on the vortex bound states of a multi-quantum vortex. The zero-energy peak of the local density of states is investigated for vortex cores with the winding numbers 2 and 4 within the…

Superconductivity · Physics 2015-06-12 Takashi Yamane , Yuki Nagai , K. Tanaka , Nobuhiko Hayashi

This paper studies inference for the local average treatment effect in randomized controlled trials with imperfect compliance where treatment status is determined according to "matched pairs." By "matched pairs," we mean that units are…

Econometrics · Economics 2024-06-28 Yuehao Bai , Hongchang Guo , Azeem M. Shaikh , Max Tabord-Meehan

We study the scattering of waves in systems with losses or gains simulated by imaginary potentials. This is done for a complex delta potential that corresponds to a spatially localized absorption or amplification. In the Argand plane the…

Mesoscale and Nanoscale Physics · Physics 2012-07-12 A. M. Martínez-Argüello , R. A. Méndez-Sánchez , M. Martínez-Mares

The transition-matrix ($T$-matrix) approach provides a general formalism to study scattering problems in various areas of physics, including acoustics (scalar fields) and electromagnetics (vector fields), and is related to the theory of the…

Optics · Physics 2016-02-08 Eric C. Le Ru , Walter R. C. Somerville , Baptiste Auguié

We propose a patchwise local Fourier extension method for approximating smooth functions on general two dimensional domains with curved boundaries. The domain is embedded into a Cartesian background grid and decomposed into rectangular…

Numerical Analysis · Mathematics 2026-05-12 Zhenyu Zhao , Yanfei Wang

On the basis of perturbative QCD and the relativistic quark model we calculate relativistic and bound state corrections in the production processes of a pair of S-wave and P-wave charmonium states. Relativistic factors in the production…

High Energy Physics - Phenomenology · Physics 2010-04-06 E. N. Elekina , A. P. Martynenko

We present a zero-range pseudopotential applicable for all partial wave interactions between neutral atoms. For p- and d-waves we derive effective pseudopotentials, which are useful for problems involving anisotropic external potentials.…

Quantum Physics · Physics 2009-11-11 Zbigniew Idziaszek , Tommaso Calarco

The $\rho\rho$ interaction and the corresponding dynamically generated bound states are revisited. We demonstrate that an improved unitarization method is necessary to study the pole structures of amplitudes outside the near-threshold…

High Energy Physics - Phenomenology · Physics 2018-12-05 Meng-Lin Du , Dilege Gülmez , Feng-Kun Guo , Ulf-G. Meißner , Qian Wang

We study nonparametric distance-based (isotropic) local polynomial methods for estimating the boundary average treatment effect curve, a causal functional that captures treatment effect heterogeneity in boundary discontinuity designs. We…

Econometrics · Economics 2026-05-26 Matias D. Cattaneo , Rocio Titiunik , Ruiqi Rae Yu

Estimating causal effects under interference, where the stable unit treatment value assumption is violated, is critical in fields such as regional and public economics. Much of the existing research on causal inference under interference…

Methodology · Statistics 2026-02-03 Akihiro Sato , Shonosuke Sugasawa

Recently developed time-independent bound-state perturbation theory is extended to treat the scattering domain. The changes in the partial wave phase shifts are derived explicitly and the results are compared with those of other methods.

Nuclear Theory · Physics 2009-11-11 B. Gonul , M. Kocak

Low-rank pseudoinverses are widely used to approximate matrix inverses in scalable machine learning, optimization, and scientific computing. However, real-world matrices are often observed with noise, arising from sampling, sketching, and…

Machine Learning · Computer Science 2025-10-30 Phuc Tran , Nisheeth K. Vishnoi

We propose a new approach to the numerical solution of radiative transfer equations with certified a posteriori error bounds. A key role is played by stable Petrov--Galerkin type variational formulations of parametric transport equations…

Numerical Analysis · Mathematics 2019-10-29 Wolfgang Dahmen , Felix Gruber , Olga Mula
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