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Finding models for linear-time properties is a central problem in verification and planning. We study the distribution of linear-time models by investigating the density of linear-time properties over the space of ultimately periodic words.…

Formal Languages and Automata Theory · Computer Science 2018-03-26 Bernd Finkbeiner , Hazem Torfah

We characterize finite sets $S$ of nonwandering points for generic diffeomorphisms $f$ as those which are {\em uniformly bounded}, i.e., there is an uniform bound for small perturbations of the derivative of $f$ along the points in $S$ up…

Dynamical Systems · Mathematics 2011-10-26 C. A. Morales

We study various topics, e.g. accumulation points by a mean, two types of derivative by a mean, two new continuity and a boundedness concepts, we construct new means from old ones, finally we investigate the limit of means.

Classical Analysis and ODEs · Mathematics 2018-10-22 Attila Losonczi

We consider linear systems on toric varieties of any dimension, with invariant base points, giving a characterization of special linear systems. We then make a new conjecture for linear systems on rational surfaces.

Algebraic Geometry · Mathematics 2007-05-23 Antonio Laface , Luca Ugaglia

In this paper we obtain a complete characterization of pseudo-collarable $n$-manifolds for $n\geq 6$. This extends earlier work by Guilbault and Tinsley to allow for manifolds with noncompact boundary. In the same way that their work can be…

Geometric Topology · Mathematics 2019-04-23 Shijie Gu

In this work we obtain sufficient conditions for the existence of bounded solutions of a resonant multi-point second-order boundary value problem, with a fully differential equation. The noninvertibility of the linear part is overcome by a…

Classical Analysis and ODEs · Mathematics 2018-11-16 Lucía López-Somoza , Feliz Minhós

In this work, we study the stability properties of semi denting, semi PC, and semi SCS points, as well as their $w^*$-analogues, in Banach spaces, with respect to $l_p$-sums ( $1\leq p \leq \infty),$ ideals, and projective tensor products.

Functional Analysis · Mathematics 2026-02-16 Sudeshna Basu , Priyanka Priyadarshini Behera , Susmita Seal

We study some density results for integral points on the complement of a closed subvariety in the $n$-dimensional projective space over a number field. For instance, we consider a subvariety whose components consist of $n-1$ hyperplanes…

Number Theory · Mathematics 2024-04-29 Motoya Teranishi

In this paper, new versions of Chebyshev's, Minkowski's and Holder's type inequalities are studied by using a monotone measure-base universal integral on an arbitrary measurable space. This paper generalizes some previous results obtained…

Functional Analysis · Mathematics 2013-04-16 Hamzeh Agahi

In this Note, we propose a line bundle approach to odd-dimensional analogues of generalized complex structures. This new approach has three main advantages: (1) it encompasses all existing ones; (2) it elucidates the geometric meaning of…

Differential Geometry · Mathematics 2016-03-10 Luca Vitagliano , Aïssa Wade

The subject of limit curve theorems in Lorentzian geometry is reviewed. A general limit curve theorem is formulated which includes the case of converging curves with endpoints and the case in which the limit points assigned since the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 E. Minguzzi

We prove that a pointwise fractional Hardy inequality implies a fractional Hardy inequality, defined via a Gagliardo-type seminorm. The proof consists of two main parts. The first one is to characterize the pointwise fractional Hardy…

Classical Analysis and ODEs · Mathematics 2024-04-09 Lizaveta Ihnatsyeva , Kaushik Mohanta , Antti V. Vähäkangas

In this paper we study some basic properties of strong A-statistical convergence and strong A-statistical Cauchyness of sequences in probabilistic metric spaces not done earlier. We also study some basic properties of strong A-statistical…

Functional Analysis · Mathematics 2022-04-07 Prasanta Malik , Samiran Das

We obtain some sufficient conditions for the Central Limit Theorem for the random processes (fields) with values in the separable part of Holder space in the modern terms of majorizing (minorizing) measures, belonging to X.Fernique and…

Probability · Mathematics 2014-09-23 E. Ostrovsky , L. Sirota

We discuss discrete Morrey spaces and their generalizations, and we prove necessary and sufficient conditions for the inclusion property among these spaces through an estimate for the characteristic sequences.

Functional Analysis · Mathematics 2021-05-13 Hendra Gunawan , Eder Kikianty , Christopher Schwanke

Many geometric optimization problems can be reduced to finding points in space (centers) minimizing an objective function which continuously depends on the distances from the centers to given input points. Examples are $k$-Means, Geometric…

Computational Geometry · Computer Science 2021-08-26 Vladimir Shenmaier

We prove, in a quantitative form, linear independence results for values of a certain class of q-series, which generalize classical q-hypergeometric series. These results refine our recent estimates.

Number Theory · Mathematics 2015-05-27 Igor Rochev

In this paper we look for the existence of large linear and algebraic structures of sequences of measurable functions with different modes of convergence. Concretely, the algebraic size of the family of sequences that are convergent in…

Functional Analysis · Mathematics 2019-12-19 M. Carmen Calderón-Moreno , Pablo J. Gerlach-Mena , José A. Prado-Bassas

The purpose of this paper is to extend the notions of generalised Poincar\'e series and divisorial generalised Poincar\'e series (of motivic nature) introduced by Campillo, Delgado and Gusein-Zade for complex curve singularities to curves…

Algebraic Geometry · Mathematics 2011-09-27 Julio José Moyano-Fernández

We introduce a new type of distinct distances result: a lower bound on the number of distances between points on a line and points on a two-dimensional strip. This can be seen as a generalization of the well-studied problems of distances…

Metric Geometry · Mathematics 2025-04-08 Sanjana Das , Adam Sheffer