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We propose new optimal estimators for the Lipschitz frontier of a set of points. They are defined as kernel estimators being sufficiently regular, covering all the points and whose associated support is of smallest surface. The estimators…

Methodology · Statistics 2011-03-31 Stéphane Girard , Anatoli Iouditski , Alexander Nazin

The linearity inherent in quantum mechanics limits current quantum hardware from directly solving nonlinear systems governed by nonlinear differential equations. One can opt for linearization frameworks such as Carleman linearization, which…

Quantum Physics · Physics 2026-02-10 Tayyab Ali

In Poulin and Serpico [Phys. Rev. Lett. 114, 091101 (2015)] we have recently argued that when the energy of a photon injected in the primordial plasma falls below the pair-production threshold, the universality of the non-thermal photon…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-01 Vivian Poulin , Pasquale Dario Serpico

This paper considers the partially functional linear model (PFLM) where all predictive features consist of a functional covariate and a high dimensional scalar vector. Over an infinite dimensional reproducing kernel Hilbert space, the…

Statistics Theory · Mathematics 2021-10-19 Shaogao Lv , Xin He , Junhui Wang

We show that the predicted primordial helium production is significantly reduced when new measurements of the neutron lifetime and the implied enhancement in the weak reaction rates are included in big-bang nucleosynthesis. Therefore, even…

Astrophysics · Physics 2009-11-10 G. J. Mathews , T. Kajino , T. Shima

A relativistic light front formulation of nuclear dynamics is applied to infinite nuclear matter. A hadronic meson-baryon Lagrangian, consistent with chiral symmetry, leads to a nuclear eigenvalue problem which is solved, including…

Nuclear Theory · Physics 2009-10-31 G. A. Miller , R. Machleidt

We discuss a constraint on the scale $\Lambda_{\rm NC}$ of noncommutative (NC) gauge field theory arising from consideration of the big bang nucleosynthesis (BBN) of light elements. The propagation of neutrinos in the NC background…

High Energy Physics - Phenomenology · Physics 2014-11-18 Raul Horvat , Josip Trampetic

Primordial nucleosynthesis provides a probe of the Universe during its early evolution. Given the progress exploring the constituents, structure, and recent evolution of the Universe, it is timely to review the status of Big Bang…

Astrophysics · Physics 2009-11-11 Gary Steigman

We develop a relativistic model for incoherent eta-photoproduction on nuclei. The elementary process is described using an effective Lagrangian containing photons, nucleons, the S11(1535) and D13(1520) nucleon resonances, and rho, omega,…

Nuclear Theory · Physics 2008-11-26 I. R. Blokland , H. S. Sherif

The $^7$Li abundance calculated in BBN with the baryon-to-photon ratio fixed from fits to the CMB power spectrum is inconsistent with the observed lithium abundances on the surface of metal-poor halo stars. Previous cosmological solutions…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-03 Dai G. Yamazaki , Motohiko Kusakabe , Toshitaka Kajino , Grant. J. Mathews , Myung-Ki Cheoun

Ferromagnetism in infinite neutron matter as well as beta equilibrated, charge neutral, dense, and infinite nuclear matter is investigated using a model of interacting baryons and mesons. The standard minimal couplings between the magnetic…

Nuclear Theory · Physics 2020-06-12 J. P. W. Diener , F. G. Scholtz

Abundances of light nuclei formed during primordial nucleosynthesis are predicted by Standard Big Bang Model. The latest data from WMAP, with precision's higher than ever before, provides a motivation to determine theoretical higher order…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-25 Mahnaz Q. Haseeb , Obaidullah Jan , Omair Sarfaraz

We present an examination of the $f(Q,L_{m})$ gravity model, in which the functional form $f(Q,L_{m})=\alpha Q^{n}+\beta L_{m}$ is postulated and discuss its potential impact on cosmological dynamics and the phenomenon of gravitational…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Amit Samaddar , S. Surendra Singh

We propose a new estimator based on a linear programming method for smooth frontiers of sample points. The derivative of the frontier function is supposed to be Holder continuous.The estimator is defined as a linear combination of kernel…

Statistics Theory · Mathematics 2014-09-23 Alexander Nazin , Stephane Girard

This paper seeks an efficient algorithm for stochastic precoding to maximize the long-term average weighted sum rates throughout a multiple-input multiple-output (MIMO) network. Unlike many existing works that assume a particular…

Information Theory · Computer Science 2026-03-10 Wenyu Wang , Kaiming Shen

Two dimensional concordance plots involving the baryon-to-photon ratio, $\eta$, and an effective number of light neutrinos, $N_{\nu}$, are used to discuss the overall consistency of standard big-bang nucleosynthesis in light of recent…

Astrophysics · Physics 2008-11-26 Christian Y. Cardall , George M. Fuller

The effective number of neutrino species, $N_{\rm eff}$, serves as a key fitting parameter extensively employed in cosmological studies. In this work, we point out a fundamental inconsistency in the conventional treatment of $N_{\rm eff}$…

High Energy Physics - Phenomenology · Physics 2026-04-27 Sougata Ganguly , Tae Hyun Jung , Seokhoon Yun

We trace with analytical methods and in a model parameter independent manner the independent bits of Fisher information of each of the moments of the lognormal distribution, as a now standard prescription for the distribution of the…

Cosmology and Nongalactic Astrophysics · Physics 2011-08-18 Julien Carron

We use linear programming techniques to find points of absolute minimum over the unit sphere $S^{d}$ in $\mathbb R^{d+1}$ of the total potential of a point configuration $\omega_N\subset S^{d}$ which is a spherical $(2m-1)$-design contained…

Combinatorics · Mathematics 2022-12-12 Sergiy Borodachov

We develop a framework for approximation limits of polynomial-size linear programs from lower bounds on the nonnegative ranks of suitably defined matrices. This framework yields unconditional impossibility results that are applicable to any…

Computational Complexity · Computer Science 2014-05-20 Gábor Braun , Samuel Fiorini , Sebastian Pokutta , David Steurer