Suppose that kerψ2 is non-trivial and let w∈kerψ2 be a non-zero element. Let V⊂H0(X,Ω1X) be the subspace of minimal dimension such that w∈⋀2V. Following [3] we say that X is generalized Lagrangian if there exists w∈kerψ2 of rank 2n such that V gener…

We use Galois closures of finite rational maps between complex projective varieties to introduce a new method for producing varieties such that the h…

In this section we will conclude the proof of the main results stated in the Introduction. In particular, let us show Theorem 1.2:

Given two Fuchsian representations $\rho_l$ and $\rho_r$ of the fundamental group of a closed oriented surface $S$ of genus $\geq 2$, we study the re…

We analyse the Virtual Element Methods (VEM) on a simple elliptic model problem, allowing for more general meshes than the one typically considered i…

In this work, we present a method to compute the Kantorovich distance, that is, the Wasserstein distance of order one, between a pair of two-dimensio…

We consider macroscopic descriptions of particles where repulsion is modelled by non-linear power-law diffusion and attraction by a homogeneous singu…

We show that any element of the universal Teichm\"uller space is realized by a unique minimal Lagrangian diffeomorphism from the hyperbolic plane to …

The second named author gratefully acknowledges the hospitality of the Dipartimento di Matematica “F. Casorati” (University of Pavia) during his stay in September 2014.

It is shown that the h-adaptive mixed finite element method for the discretization of eigenvalue clusters of the Laplace operator produces optimal co…

We present a study of transverse single-spin asymmetries (SSAs) in $p^\uparrow p\to J/\psi\,X$ and $p^\uparrow p\to D X$ within the framework of the …

We consider the linear dissipative Boltzmann equation describing inelastic interactions of particles with a fixed background. For the simplified mode…

In this paper, we discuss the passage to hydrodynamic equations for kinetic models of opinion formation. The considered kinetic models feature an opi…

We prove existence and uniqueness of solutions to the Minkowski problem in any domain of dependence $D$ in $(2+1)$-dimensional Minkowski space, provi…

Bayesian nonparametric marginal methods are very popular since they lead to fairly easy implementation due to the formal marginalization of the infin…

Parton distribution functions (PDFs) are nonperturbative objects defined by nonlocal light-cone correlations. They cannot be computed directly from Q…

In this paper we propose an algorithm for the formation of matrices of isogeometric Galerkin methods. The algorithm is based on three ideas. The firs…

The classical Minkowski problem in Minkowski space asks, for a positive function $\phi$ on $\mathbb{H}^d$, for a convex set $K$ in Minkowski space wi…

This paper deals with the discrete counterpart of 2D elliptic model problems rewritten in terms of Boundary Integral Equations. The study is done wit…

In this paper we propose an output-feedback Model Predictive Control (MPC) algorithm for linear discrete-time systems affected by a possibly unbounde…

We study the mutual interaction between two identical quantum dots coupled to the normal modes of two-site photonic crystal molecules in a planar wav…

The Dirichlet process mixture model and more general mixtures based on discrete random probability measures have been shown to be flexible and accura…

The proposal and study of dependent prior processes has been a major research focus in the recent Bayesian nonparametric literature. In this paper, w…

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