Throughout this section, we assume that f is a map from class S with a logarithmic tract over ∞ or a (non-exceptional) map from class B, with a logarithmic tract over ∞ and J(f)∖¯¯¯¯¯¯¯¯¯¯¯P(f)≠∅.

In this paper we study the relation between the existence of a conformal measure on the Julia set $J(f)$ of a transcendental meromorphic map $f$ and …

Quantitative methods for studying biodiversity have been traditionally rooted in the classical theory of finite frequency tables analysis. However, w…

We propose a new modified primal-dual proximal best approximation method for solving convex not necessarily differentiable optimization problems. The…

We study the dynamical behaviour of points in the boundaries of simply connected invariant Baker domains $U$ of meromorphic maps $f$ with a finite de…

We prove that every transcendental meromorphic map f with a disconnected Julia set has a weakly repelling fixed point. This implies that the Julia se…

We consider a new criterion-based approach to model selection in linear regression. Properties of selection criteria based on p-values of a likelihoo…

Complex black-box predictive models may have high accuracy, but opacity causes problems like lack of trust, lack of stability, sensitivity to concept…

Let us starts with proving section 1.

We consider the complexity of finding weighted homomorphisms from intersection graphs of curves (string graphs) with $n$ vertices to a fixed graph $H…

The increasing availability of large but noisy data sets with a large number of heterogeneous variables leads to the increasing interest in the autom…

In [31,32,33] the Gauss-Bonnet formulas for coherent tangent bundles over compact oriented surfaces (without boundary) were proved. We establish the …

In this work we have defined the natural extension of the Sorkin–Woolgar relation K+ onto P(M) and studied its basic properties and characterizations. Since K+=J+ for causally simple spacetimes, many of the results obtained here reduce to those know…

Drawing from our earlier works on the notion of causality for nonlocal phenomena, we propose and study the extension of the Sorkin--Woolgar relation …

In the Token Swapping problem we are given a graph with a token placed on each vertex. Each token has exactly one destination vertex, and we try to m…

Meta learning is a difficult problem as the expected performance of a model is affected by various aspects such as selected hyperparameters, dataset …

In this paper we give a unified proof of the fact that the Julia set of Newton's method applied to a holomorphic function of the complex plane (a pol…

One important problem in a network is to locate an (invisible) moving entity by using distance-detectors placed at strategical locations. For instanc…

Consider a Lagrangian immersion L:R2n→(TR2n,Ω) and a Legendrian immersion ~L:R2n→(TR2n×R,{θ=0}). Denote by π:TR2n=R2n×R2n→R2n the projection π(x,y)=x and by ~π:TR2n×R=R2n×R2n×R→R2n×R, the projection ~π(x,y,z)=(x,z).

There are exactly two different types of bi-dimensional improper affine spheres: the non-convex ones can be modeled by the center-chord transform of …

We propose a novel approach to the problem of polynomial approximation of rational B\'ezier triangular patches with prescribed boundary control point…

We investigated maximin share allocations in the graph setting for the fair division problem of indivisible goods proposed by Bouveret et al. [2]. That paper settled the case of trees by showing that maximin share allocations of goods on trees alway…

The problem of fair division of indivisible goods is a fundamental problem of social choice. Recently, the problem was extended to the case when good…

The author wishes to thank Michał Eckstein for the careful reading of the manuscript as well as for all enlightening discussions and helpful comments.

We propose and study a new approach to the topologization of spaces of (possibly not all) future-directed causal curves in a stably causal spacetime.…

The FM-index is a well-known compressed full-text index, based on the Burrows-Wheeler transform (BWT). During a pattern search, the BWT sequence is a…

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