English
Related papers

Related papers: Nonrelativistic Lee model in three dimensional Rie…

200 papers

We study solutions for the Hodge laplace equation $\Delta u=\omega $ on $p$ forms with $\displaystyle L^{r}$ estimates for $\displaystyle r>1.$ Our main hypothesis is that $\Delta $ has a spectral gap in $\displaystyle L^{2}.$ We use this…

Complex Variables · Mathematics 2017-08-17 Eric Amar

The reproducing kernel Hilbert space (RKHS) embedding method is a recently introduced estimation approach that seeks to identify the unknown or uncertain function in the governing equations of a nonlinear set of ordinary differential…

Optimization and Control · Mathematics 2020-07-14 Jia Guo , Sai Tej Paruchuri , Andrew J. Kurdila

We are concerned about the coarse and precise aspects of a priori estimates for Green's function of a regular domain for the Laplacian-Betrami operator on any $3\le n$-dimensional complete non-compact boundary-free Riemannian manifold…

Analysis of PDEs · Mathematics 2010-06-14 Jie Xiao

In this paper, we prove the concavity of the Renyi entropy power for nonlinear diffusion equation (NLDE) associated with the Laplacian and the Witten Laplacian on compact Riemannian manifolds with non-negative Ricci curvature or…

Differential Geometry · Mathematics 2020-01-31 Songzi Li , Xiang-Dong Li

Modern Bayesian optimization and adaptive sampling methods increasingly rely on nonlinear parametric models, yet theoretical guarantees for such models under adaptive data collection remain limited. Existing analyses largely focus on…

Machine Learning · Statistics 2026-05-14 Rafael Oliveira

A Shell-model-Like APproach (SLAP) suggested to treat the pairing correlations in relativistic mean field theory is introduced, in which the occupancies thus obtained having been iterated back into the densities. The formalism and numerical…

Nuclear Theory · Physics 2009-09-29 J. Meng , J. Y. Guo , L. Liu , S. Q. Zhang

We provide in this work a semigroup approach to the study of singular PDEs, in the line of the paracontrolled approach developed recently by Gubinelli, Imkeller and Perkowski. Starting from a heat semigroup, we develop a functional calculus…

Analysis of PDEs · Mathematics 2016-02-10 I. Bailleul , F. Bernicot

We develop and analyze Riemannian optimization methods for computing ground states of rotating multicomponent Bose-Einstein condensates, defined as minimizers of the Gross-Pitaevskii energy functional. To resolve the non-uniqueness of…

Numerical Analysis · Mathematics 2025-12-08 Martin Hermann , Tatjana Stykel , Mahima Yadav

We study the Bogoliubov-Dirac-Fock (BDF) model, a no-photon, mean-field approxi- mation of quantum electrodynamics that allows to study relativistic electrons interacting with the vacuum. It is a variational model in which states are…

Mathematical Physics · Physics 2014-05-16 Jérémy Sok

In this paper, an adaptive non-parametric method is proposed to estimate the scalar-valued nonlinear function that appears in uncertain systems governed by ordinary differential equations (ODEs). By employing an infinite-dimensional…

Optimization and Control · Mathematics 2021-03-15 Jia Guo , Sai Tej Paruchuri , Andrew J. Kurdila

The generalized partially linear models on Riemannian manifolds are introduced. These models, like ordinary generalized linear models, are a generalization of partially linear models on Riemannian manifolds that allow for response variables…

Methodology · Statistics 2018-03-09 Amelia Simó , M. Victoria Ibáñez , Irene Epifanio , Vicent Gimeno

Linear models for the radiative transfer equation have been well developed, while nonlinear models are seldom investigated even for slab geometry due to some essential difficulties. We have proposed a moment model in MPN for slab geometry…

Numerical Analysis · Mathematics 2020-03-30 Yuwei Fan , Ruo Li , Lingchao Zheng

In this work, singular interactions supported by embedded curves on Riemannian manifolds are discussed from a more direct and physical perspective, via the heat kernel approach. We show that the renormalized problem is well defined, the…

Mathematical Physics · Physics 2012-06-12 Burak Tevfik Kaynak , O. Teoman Turgut

Non-Euclidean, or incompatible elasticity is an elastic theory for pre-stressed materials, which is based on a modeling of the elastic body as a Riemannian manifold. In this paper we derive a dimensionally-reduced model of the so-called…

Analysis of PDEs · Mathematics 2019-02-07 Raz Kupferman , Cy Maor

Steering a language model - intervening on its internal activations to change downstream behaviour - has recently expanded beyond linear interpolation to nonlinear methods such as angular and kernelized steering, which define intervention…

We establish dimension-independent estimates related to heat operators e^{tL} on manifolds. We first develop a very general contractivity result for Markov kernels which can be applied to diffusion semigroups. Second, we develop estimates…

Differential Geometry · Mathematics 2014-12-12 Brian C. Hall , Matthew Cecil

General analytic energy bounds are derived for N-boson systems governed by ultrarelativistic Hamiltonians of the form H = sum_{i=1}^N||p_i|| + sum_{1=i<j}^N V(r_{ij}), where V(r) is a static attractive pair potential. It is proved that a…

Mathematical Physics · Physics 2011-11-10 Richard L. Hall , Wolfgang Lucha

In this work, we obtain a short time solution for a geometric flow on noncompact affine Riemannian manifolds. Using this result, we can construct a Hessian metric with nonnegative bounded Hessian sectional curvature on some Hessian…

Differential Geometry · Mathematics 2025-07-16 Hanzhang Yin , Bin Zhou

This article is devoted to developing a theory for effective kernel interpolation and approximation in a general setting. For a wide class of compact, connected $C^\infty$ Riemannian manifolds, including the important cases of spheres and…

Classical Analysis and ODEs · Mathematics 2015-03-17 T. Hangelbroek , F. J. Narcowich , J. D. Ward

Substatic Riemannian manifolds with minimal boundary arise naturally in General Relativity as spatial slices of static spacetimes satisfying the Null Energy Condition. Moreover, they constitute a vast generalization of nonnegative Ricci…

Differential Geometry · Mathematics 2023-07-28 Stefano Borghini , Mattia Fogagnolo
‹ Prev 1 4 5 6 7 8 10 Next ›