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We synthesize and unify notions of regularity, both of individual sets and of collections of sets, as they appear in the convergence theory of projection methods for consistent feasibility problems. Several new characterizations of…

最优化与控制 · 数学 2018-05-15 Alexander Y. Kruger , D. Russell Luke , Nguyen H. Thao

We study the almost sure convergence of randomly truncated stochastic algorithms. We present a new convergence theorem which extends the already known results by making vanish the classical condition on the noise terms. The aim of this work…

概率论 · 数学 2009-06-29 Jérôme Lelong

We introduce a quantitative condition on orbits of dynamical systems which measures their aperiodicity. We show the existence of sequences in the Bernoulli-shift and geodesics on closed hyperbolic manifolds which are as aperiodic as…

动力系统 · 数学 2019-02-20 Viktor Schroeder , Steffen Weil

The disjunctive restricted chase is a sound and complete procedure for solving boolean conjunctive query entailment over knowledge bases of disjunctive existential rules. Alas, this procedure does not always terminate and checking if it…

计算机科学中的逻辑 · 计算机科学 2023-09-25 Lukas Gerlach , David Carral

This paper deals with a modifed iterative projection method for approximating a solution of hierarchical fixed point problems for nearly nonexpansive mappings. Some strong convergence theorems for the proposed method are presented under…

泛函分析 · 数学 2014-03-17 Ibrahim Karahan , Murat Ozdemir

Tropical recurrent sequences are introduced satisfying a given vector (being a tropical counterpart of classical linear recurrent sequences). We consider the case when Newton polygon of the vector has a single (bounded) edge. In this case…

代数几何 · 数学 2020-02-06 Dima Grigoriev

The aim of this article is to obtain a better understanding and classification of strictly ergodic topological dynamical systems with discrete spectrum. To that end, we first determine when an isomorphic maximal equicontinuous factor map of…

动力系统 · 数学 2019-08-15 Felipe García-Ramos , Tobias Jäger , Xiangdong Ye

In this paper we investigate the properties of the set of T-periodic solutions of semi-explicit parametrized Differential-Algebraic Equations with non-autonomous constraints of a particular type. We provide simple, degree theoretic…

经典分析与常微分方程 · 数学 2013-11-22 Luca Bisconti , Alessandro Calamai , Marco Spadini

Mechanisms are elucidated underlying the existence of dynamical systems whose generic solutions approach asymptotically (at large time) isochronous evolutions: all their dependent variables tend asymptotically to functions periodic with the…

可精确求解与可积系统 · 物理学 2015-05-13 Francesco Calogero , David Gomez-Ullate

The multitime multiple recurrences are common in analysis of algorithms, computational biology, information theory, queueing theory, filters theory, statistical physics etc. The theoretical part about them is little or not known. That is…

动力系统 · 数学 2015-06-10 Cristian Ghiu , Raluca Tuliga , Constantin Udriste

In many dynamical systems, countably infinitely many invariant tori co-exist. The occurrence of quasiperiodicity on any one of these tori is sometimes sufficient to establish strong global properties, like dense trajectories and periodic…

动力系统 · 数学 2016-12-13 Suddhasattwa Das

Maximum likelihood iteration is one of the most commonly used reconstruction algorithms in quantum tomography. The main appeal of the method is that it is easy to implement and that it converges reliably to a physically meaningful density…

量子物理 · 物理学 2025-08-21 Florian Oberender

An open problem posed by the first author is the complexity to decide whether a sequence of nonnegative integer numbers can be the final score of a football tournament. In this paper we propose polynomial time approximate and exponential…

离散数学 · 计算机科学 2012-07-27 A. Iványi , J. E. Schoenfield

We prove a criteria for uniform hyperbolicity based on the periodic points of the transformation. More precisely, if a mild (non uniform) hyperbolicity condition holds for the periodic points of any diffeomorphism in a residual subset of a…

动力系统 · 数学 2012-06-13 Armando Castro

We prove a quantitative, large-scale doubling inequality and large-scale three-ellipsoid inequality for solutions of uniformly elliptic equations with periodic coefficients. These estimates are optimal in terms of the minimal length scale…

偏微分方程分析 · 数学 2021-08-02 Scott Armstrong , Tuomo Kuusi , Charles Smart

We report on new techniques and results in the regularity theory of general non-uniformly elliptic variational integrals. By means of a new potential theoretic approach we reproduce, in the non-uniformly elliptic setting, the optimal…

偏微分方程分析 · 数学 2018-07-31 Lisa Beck , Giuseppe Mingione

We study the basic computational problem of detecting approximate stationary points for continuous piecewise affine (PA) functions. Our contributions span multiple aspects, including complexity, regularity, and algorithms. Specifically, we…

最优化与控制 · 数学 2025-01-07 Lai Tian , Anthony Man-Cho So

We show that various aspects of k-automatic sequences -- such as having an unbordered factor of length n -- are both decidable and effectively enumerable. As a consequence it follows that many related sequences are either k-automatic or…

形式语言与自动机理论 · 计算机科学 2011-10-14 Emilie Charlier , Narad Rampersad , Jeffrey Shallit

In this paper, we will discuss the notion of almost orthogonality in a functional sequence.Especially, we will define a few sequences of almost orthogonal polynomials which can be used successfully for modeling of electronic systems which…

数值分析 · 数学 2010-07-22 Predrag Rajkovic , Sladjana Marinkovic

We obtain some existence theorems for periodic solutions to several linear equations involving fractional Laplacian. We also prove that the lower bound of all periods for semilinear elliptic equations involving fractional Laplacian is not…

偏微分方程分析 · 数学 2018-10-22 Zhuoran Du , Changfeng Gui