Results 61 to 70 of about 479 (148)
Absolutely continuous and pure point spectra of discrete operators with sparse potentials
Mathematical Methods in the Applied Sciences, Volume 47, Issue 17, Page 13025-13036, 30 November 2024.We consider the discrete Schrödinger operator H=−Δ+V$$ H=-\Delta +V $$ with a sparse potential V$$ V $$ and find conditions guaranteeing either existence of wave operators for the pair H$$ H $$ and H0=−Δ$$ {H}_0=-\Delta $$ or presence of dense purely point spectrum of the operator H$$ H $$ on some interval [λ0,0]$$ \left[{\lambda}_0,0\right] $$ with λ0<
Stanislav Molchanov +2 more
wiley +1 more source
Infinite‐width limit of deep linear neural networks
Communications on Pure and Applied Mathematics, Volume 77, Issue 10, Page 3958-4007, October 2024.Abstract This paper studies the infinite‐width limit of deep linear neural networks (NNs) initialized with random parameters. We obtain that, when the number of parameters diverges, the training dynamics converge (in a precise sense) to the dynamics obtained from a gradient descent on an infinitely wide deterministic linear NN.
Lénaïc Chizat +3 more
wiley +1 more source
On Lacunary Invariant Statistical Convergence [PDF]
, 2017 This thesis consists of six chapters. In the first chapter, historical development of related notions of the thesis subject was mentioned. In the second chapter, some ba- sic definitions, concepts, examples and theorems related to study were given.
Özçelik, Özlem
core
The Role of Lacunary Statistical Convergence for Double sequences in Neutrosophic Normed Spaces [PDF]
Neutrosophic Sets and SystemsThis paper introduces and explores the concept of lacunary statistical convergence of double sequence within the framework neutrosophic normed spaces. Neutrosophic normed spaces extend classical normed spaces by incorporating neutrosophic numbers, which ...
Jenifer. P, Jeyaraman. M
doaj +1 more source
LACUNARY I?-STATISTICAL CONVERGENCE OF COMPLEX UNCERTAIN SEQUENCE [PDF]
, 2019 This study introduces the concepts of lacunary I-sigma-statistical convergence of complex uncertain sequences: lacunary I-sigma-statistical convergence almost surely (S-theta (I-sigma).a.s.), lacunary I-sigma-statistical convergence in measure, lacunary ...
Kişi, Ömer
core
Generalized s r I -statistical convergence in intuitionistic fuzzy normed linear space [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2018 The notion of lacunary ideal convergence in intuitionistic fuzzy normed linear space (IFNLS) was introduced in (Debnath, 2012). As a continuation of this work, in the present paper, we introduce and study the new concept of s r I -statistical ...
Nabanita Konwar, Pradip Debnath
doaj +1 more source
On Asymptotically Lacunary Statistical Equivalent Set Sequences
Journal of Mathematics, 2013 This paper presents three definitions which are natural combination of the definitions of asymptotic equivalence, statistical convergence, lacunary statistical convergence, and Wijsman convergence.
Uğur Ulusu, Fatih Nuray
doaj +1 more source
Lacunary statistical and lacunary strongly convergence of generalized difference sequences in intuitionistic fuzzy normed linear spaces [PDF]
, 2018 In this article we introduce the concepts of lacunary statistical convergence and lacunary strongly convergence of generalized difference sequences in intuitionistic fuzzy normed linear spaces and give their characterization.
Mikail Et, Mausumi Sen
core +1 more source
Statistical convergence of order α in probability
Arab Journal of Mathematical Sciences, 2015 In this paper the ideas of different types of convergence of a sequence of random variables in probability, namely, statistical convergence of order α in probability, strong p-Cesàro summability of order α in probability, lacunary statistical ...
Pratulananda Das +2 more
doaj +1 more source
Mathematics, 2020 In this manuscript we characterize the completeness of a normed space through the strong lacunary ( N θ ) and lacunary statistical convergence ( S θ ) of series. A new characterization of weakly unconditionally Cauchy series through N θ
Soledad Moreno-Pulido +4 more
doaj +1 more source