Search results for "Regular"
showing 10 items of 855 documents
Immigrant Detention Centres in Spain: a critical assessment
2012
This paper presents a critical examination of the management of irregular migration flows in Spain and the legal principles and administrative practices implemented by the State in the process of expulsion that legitimise the existence of Immigrant Detention Centres (CIE). It also provides a description of the current situation of the CIE, and reports on the most recent proposals made by the Spanish government to improve the management of CIE in response to pressure exerted by civil society organisations, especially after public protests regarding the death of two inmates in December 2011 and January 2012.
ARGUMENTS FOR THE ESTABLISHMENT OF A SOVEREIGN INVESTMENT FUND IN ROMANIA
2013
The creation of the national development fund was approved in 2006 through the specific legislation. The main argument in supporting the idea of creating this fund was the fact that Romania still had to privatize some more governmental ownership companies and the sums that would be obtained were going to be used according to some very precise rules. Another argument was that the executive power had to assure the financing of some major infrastructure investment projects, to assure the local contribution of the project financed by structural funds and to assure de necessary funds for solving the problems caused by the retrocession of some buildings. The audit report of the Romanian Court of …
The Radó–Kneser–Choquet theorem for $p$-harmonic mappings between Riemannian surfaces
2020
In the planar setting the Rad\'o-Kneser-Choquet theorem states that a harmonic map from the unit disk onto a Jordan domain bounded by a convex curve is a diffeomorphism provided that the boundary mapping is a homeomorphism. We prove the injectivity criterion of Rad\'o-Kneser-Choquet for $p$-harmonic mappings between Riemannian surfaces. In our proof of the injecticity criterion we approximate the $p$-harmonic map with auxiliary mappings that solve uniformly elliptic systems. We prove that each auxiliary mapping has a positive Jacobian by a homotopy argument. We keep the maps injective all the way through the homotopy with the help of the minimum principle for a certain subharmonic expressio…
On arithmetic sums of Ahlfors-regular sets
2021
Let $A,B \subset \mathbb{R}$ be closed Ahlfors-regular sets with dimensions $\dim_{\mathrm{H}} A =: \alpha$ and $\dim_{\mathrm{H}} B =: \beta$. I prove that $$\dim_{\mathrm{H}} [A + \theta B] \geq \alpha + \beta \cdot \tfrac{1 - \alpha}{2 - \alpha}$$ for all $\theta \in \mathbb{R} \, \setminus \, E$, where $\dim_{\mathrm{H}} E = 0$.
THE ARITHMETIC BOHR RADIUS
2007
We study the arithmetic Bohr radius of Reinhardt domains in ℂ n which was successfully used in our study of monomial expansions for holomorphic functions in infinite dimensions. We show that this new Bohr radius is different from the radii invented by Boas and Khavinson and Aizenberg. It gives an explicit formula for the n-dimensional hypercone (which means n-dimensional variants of classical results of Bohr and Bombieri), and moreover asymptotically corrects upper and lower estimates for various types of convex and non-convex Reinhardt domains.
Sparse nonnegative tensor decomposition using proximal algorithm and inexact block coordinate descent scheme
2021
Nonnegative tensor decomposition is a versatile tool for multiway data analysis, by which the extracted components are nonnegative and usually sparse. Nevertheless, the sparsity is only a side effect and cannot be explicitly controlled without additional regularization. In this paper, we investigated the nonnegative CANDECOMP/PARAFAC (NCP) decomposition with the sparse regularization item using l1-norm (sparse NCP). When high sparsity is imposed, the factor matrices will contain more zero components and will not be of full column rank. Thus, the sparse NCP is prone to rank deficiency, and the algorithms of sparse NCP may not converge. In this paper, we proposed a novel model of sparse NCP w…
Regularizācijas filtru salīdzinošā analīze 3D konstrukciju topoloģijas optimizācijai
2015
Darbs ir veltīts topoloģijas optimizācijas izpētei un tās regulējošo filtru salīdzinošai analīzei, izmantojot 3D konstrukcijas. Darbā tiek apskatīti divi filtri – jūtīguma filtrs un Gausa filtrs. Ar matemātiskām metodēm tiek aprēķinātas filtru rādītās izmaiņas konstrukcijā, ja tiek mainīti filtru parametri. Darba galvenais mērķis ir izpētīt šos divus filtrus un veikt to salīdzinošo analīzi, vērtējot filtru darbības precizitāti, rēķināšanas laiku un mērķa funkcijas minimālās vērtības. Darbā tiek apskatīti vairāki 3D konstrukciju piemēri, piemēram, Rīgas dzelzceļa tilts. Tika iegūti rezultāti, kas nākotnē tiks izmantoti topoloģijas optimizācijas regularizācijas filtru plašākai izpētei un piel…
Constant sign and nodal solutions for parametric anisotropic $(p, 2)$-equations
2021
We consider an anisotropic ▫$(p, 2)$▫-equation, with a parametric and superlinear reaction term.Weshow that for all small values of the parameter the problem has at least five nontrivial smooth solutions, four with constant sign and the fifth nodal (sign-changing). The proofs use tools from critical point theory, truncation and comparison techniques, and critical groups. Spletna objava: 9. 9. 2021. Abstract. Bibliografija: str. 1076.
Hölder gradient regularity for the inhomogeneous normalized p(x)-Laplace equation
2022
We prove the local gradient Hölder regularity of viscosity solutions to the inhomogeneous normalized p(x)-Laplace equation −Δp(x)Nu=f(x), where p is Lipschitz continuous, infp>1, and f is continuous and bounded. peerReviewed
Hölder regularity for the gradient of the inhomogeneous parabolic normalized p-Laplacian
2018
In this paper, we study an evolution equation involving the normalized [Formula: see text]-Laplacian and a bounded continuous source term. The normalized [Formula: see text]-Laplacian is in non-divergence form and arises for example from stochastic tug-of-war games with noise. We prove local [Formula: see text] regularity for the spatial gradient of the viscosity solutions. The proof is based on an improvement of flatness and proceeds by iteration.