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In the context of density level set estimation, we study the convergence of general plug-in methods under two main assumptions on the density for a given level $\lambda$. More precisely, it is assumed that the density (i) is smooth in a…

Statistics Theory · Mathematics 2016-09-07 Philippe Rigollet , Régis Vert

We study a model for the movement of surfaces, namely the conserved, restricted solid-on-solid model. The surface configurations are restricted such that the difference between the heights at adjacent sites is no more than one. In addition…

Mathematical Physics · Physics 2019-09-30 Anamaria Savu

We study a non-reversible random walk advected by the symmetric simple exclusion process, so that the walk has a local drift of opposite sign when sitting atop an occupied or an empty site. We prove that the back-tracking probability of the…

Probability · Mathematics 2024-09-04 Guillaume Conchon--Kerjan , Daniel Kious , Pierre-François Rodriguez

We suggest a simple approach to calculate the local density of states that effectively applies to any structure created by an axially symmetric potential on a continuous graphene sheet such as circular graphene quantum dots or rings.…

Mesoscale and Nanoscale Physics · Physics 2017-10-04 H. Chau Nguyen , Nhung T. T. Nguyen , V. Lien Nguyen

We have numerically implemented a perturbation series for the scattered electromagnetic fields above rough surfaces, due to Greffet, allowing us to evaluate the local density of states to second order in the surface profile function. We…

Mesoscale and Nanoscale Physics · Physics 2011-03-17 Felix Rüting , Svend-Age Biehs , Oliver Huth , Martin Holthaus

Dealing with visualizations containing large data set is a challenging issue and, in the field of Information Visualization, almost every visual technique reveals its drawback when visualizing large number of items. To deal with this…

Graphics · Computer Science 2017-01-26 Enrico Bertini , Giuseppe Santucci

The estimation of a density profile from experimental data points is a challenging problem, usually tackled by plotting a histogram. Prior assumptions on the nature of the density, from its smoothness to the specification of its form, allow…

Methodology · Statistics 2015-03-13 Alberto Bernacchia , Simone Pigolotti

Given a complete noncompact Riemannian manifold $N^n$, we investigate whether the set of bounded Sobolev maps $(W^{1, p} \cap L^\infty) (Q^m; N^n)$ on the cube $Q^m$ is strongly dense in the Sobolev space $W^{1, p} (Q^m; N^n)$ for $1 \le p…

Functional Analysis · Mathematics 2018-07-20 Pierre Bousquet , Augusto C. Ponce , Jean Van Schaftingen

We consider uniform moment convergence of lag-window spectral density estimates for univariate and multivariate stationary processes. Optimal rates of convergence are obtained under mild and easily verifiable conditions. Our theory…

Methodology · Statistics 2015-05-15 Wei Biao Wu , Paolo Zaffaroni

Reliable and exact assessment of visibility is essential for safe air traffic. In order to overcome the drawbacks of the currently subjective reports from human observers, we present an approach to automatically derive visibility measures…

Computer Vision and Pattern Recognition · Computer Science 2015-05-21 Jean-Philippe Andreu , Stefan Mayer , Karlheinz Gutjahr , Harald Ganster

Area openings and closings are morphological filters which efficiently suppress impulse noise from an image, by removing small connected components of level sets. The problem of an objective choice of threshold for the area remains open.…

Probability · Mathematics 2016-08-16 David Coupier , Agnès Desolneux , Bernard Ycart

We establish effective versions of Oppenheim's conjecture for generic inhomogeneous quadratic forms. We prove such results for fixed shift vectors and generic quadratic forms. When the shift is rational we prove a counting result which…

Number Theory · Mathematics 2020-08-18 Anish Ghosh , Dubi Kelmer , Shucheng Yu

A new diffuse interface model for a two-phase flow of two incompressible fluids with different densities is introduced using methods from rational continuum mechanics. The model fulfills local and global dissipation inequalities and is also…

Fluid Dynamics · Physics 2010-11-03 Helmut Abels , Harald Garcke , Günther Grün

Surface roughness significantly modifies the liquid film thickness entrained when dip coating a solid surface, particularly at low coating velocity. Using a homogenization approach, we present a predictive model for determining the liquid…

Fluid Dynamics · Physics 2024-12-25 Lebo Molefe , Giuseppe A. Zampogna , John M. Kolinski , François Gallaire

We use a density functional approach to calculate the contact angle of the water model on a heterogeneous, graphite-like surface. The surface heterogeneity results from the pre-adsorption of a layer of spherical species. The pre-adsorbed…

Soft Condensed Matter · Physics 2022-10-04 K. Dąbrowska , O. Pizio , S. Sokołowski

We present a necessary and sufficient condition for a finite dimensional density matrix to be an extreme point of the convex set of density matrices with positive partial transpose with respect to a subsystem. We also give an algorithm for…

Quantum Physics · Physics 2009-11-13 Jon Magne Leinaas , Jan Myrheim , Eirik Ovrum

We consider the problem of estimating a spatially varying density function, motivated by problems that arise in large-scale radiological survey and anomaly detection. In this context, the density functions to be estimated are the background…

Methodology · Statistics 2017-11-17 Wesley Tansey , Alex Athey , Alex Reinhart , James G. Scott

Making use of experimental and theoretical considerations, in this Letter we deduce a criterion to determine the critical velocity for which a drop impacting a smooth dry surface either spreads over the substrate or disintegrates into…

Fluid Dynamics · Physics 2014-03-31 Guillaume Riboux , José Manuel Gordillo

We show that an intensity speckle can be directly interpreted as the properties of incident light - amplitude, phase, polarization, and coherency over spatial positions. Revisiting the speckle-correlation scattering matrix (SSM) method [Lee…

Optics · Physics 2019-08-07 KyeoReh Lee , YongKeun Park

Surface roughness is known to easily suppress the adhesion of elastic surfaces. Here a simple model for the contact of \emph{viscoelastic} rough surfaces with significant levels of adhesion is presented. This approach is derived from our…

Soft Condensed Matter · Physics 2008-02-27 Guillaume Haiat , Etienne Barthel
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