Indian Journal of Pure and Applied Mathematics

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Large deviations for truncated heavy-tailed random variables: A boundary case
Indian Journal of Pure and Applied Mathematics - Tập 48 - Trang 671-703 - 2018
Arijit Chakrabarty
This paper investigates the decay rate of the probability that the row sum of a triangular array of truncated heavy tailed random variables is larger than an integer (k) times the truncating threshold, as both - the number of summands and the threshold go to infinity. The method of attack for this problem is significantly different from the one where k is not an integer, and requires much sharper ...... hiện toàn bộ
Implicit degree condition restricted to essential independent sets for Hamiltonian cycles
Indian Journal of Pure and Applied Mathematics - - Trang 1-7 - 2023
Xing Huang
A cycle of a graph G is Hamiltonian if it visits every vertex of G exactly once. A graph is Hamiltonian if it has a Hamiltonian cycle. The problem of determining whether a graph is Hamiltonian is known to be NP-complete. A subset S of V(G) is called an essential independent set of G if S is an independent set and contains two distinct vertices u and v with a common neighbor. In 1989, Zhu, Li and D...... hiện toàn bộ
From examples to methods: two cases from the study of units in integral group rings
Indian Journal of Pure and Applied Mathematics - Tập 52 - Trang 669-686 - 2021
Andreas Bächle, Leo Margolis
In this article, we review the proofs of the first Zassenhaus Conjecture on conjugacy of torsion units in integral group rings for the alternating groups of degree 5 and 6, by Luthar-Passi and Hertweck. We describe how the study of these examples led to the development of two methods – the HeLP method and the lattice method. We exhibit these methods and summarize some results which were achieved u...... hiện toàn bộ
Reconstruction of the Sturm-Liouville differential operators with discontinuity conditions and a constant delay
Indian Journal of Pure and Applied Mathematics - Tập 51 - Trang 659-668 - 2020
Mohammad Shahriari, Behzad Nemati Saray, Jalil Manafian
In this manuscript, we study second–order differential operators with a constant delay and transmission boundary conditions. We establish properties of the spectral characteristics and investigate the inverse problem of recovering operators from their spectra. Also, we construct the potential function by using the Fourier series and delay point of the Sturm–Liouville differential operator.
Sơ đồ sai phân bảo toàn cho các nghiệm sóng cô lập của phương trình sóng dài tổng quát đã được điều chỉnh Dịch bởi AI
Indian Journal of Pure and Applied Mathematics - Tập 51 - Trang 1317-1342 - 2021
Asma Rouatbi, Manel Labidi, Khaled Omrani
Một sơ đồ sai phân bảo toàn cho phương trình sóng dài tổng quát được điều chỉnh (GRLW) phi tuyến phân tán được đề xuất. Sự tồn tại của các nghiệm sai phân đã được chứng minh. Bằng phương pháp năng lượng rời rạc, chứng minh rằng sơ đồ sai phân là có nghiệm duy nhất, ổn định vô điều kiện và hội tụ bậc hai trong chuẩn lớn nhất. Trường hợp đặc biệt được biết đến là phương trình sóng dài đã được điều c...... hiện toàn bộ
#sơ đồ sai phân #phương trình sóng dài #sóng cô lập #phương pháp năng lượng #tính ổn định
Existence of an invariant form under a linear map
Indian Journal of Pure and Applied Mathematics - Tập 48 - Trang 211-220 - 2017
Krishnendu Gongopadhyay, Sudip Mazumder
Let F be a field of characteristic different from 2 and V be a vector space over F. Let J: α → α J be a fixed involutory automorphism on F. In this paper we answer the following question: given an invertible linear map T: V → V, when does the vector space V admit a T-invariant nondegenerate J-hermitian, resp. J-skew-hermitian, form?
The Operator-Valued Parallelism and Norm-Parallelism in Matrices
Indian Journal of Pure and Applied Mathematics - Tập 51 - Trang 1305-1316 - 2021
M. Mohammadi Gohari, M. Amyari
Let ℌ be a Hilbert space, and let K(ℌ) be the C*-algebra of compact operators on ℌ. In this paper, we present some characterizations of the norm-parallelism for elements of a Hilbert K(ℌ)-module by employing the Birkhoff-James orthogonality. Among other things, we present a characterization of transitive relation of the norm-parallelism for elements in a certain Hilbert K(ℌ)-module. We also give s...... hiện toàn bộ
Fractal generation via generalized Fibonacci–Mann iteration with s-convexity
Indian Journal of Pure and Applied Mathematics - - Trang 1-15 - 2024
Swati Antal, Nihal Özgür, Anita Tomar, Krzysztof Gdawiec
Recently, the generalized Fibonacci–Mann iteration scheme has been defined and used to develop an escape criterion to study mutants of the classical fractals for a function $$\sin \left( z^{n}\right) +az+c$$ , $$a,c\in \mathbb {C}$$ ...... hiện toàn bộ
On existence of invariant measures
Indian Journal of Pure and Applied Mathematics - Tập 43 - Trang 343-358 - 2012
Vikram T. Aithal, Ravi S. Kulkarni
Let G be a Lie group, H ≤ G a closed subgroup and M ≈ G/H. In [14] André Weil gave a necessary and sufficient condition for the existence of invariant measures on homogeneous spaces of arbitrary locally compact groups. For Lie groups using the structure theory we give a neater necessary and sufficient condition for the existence of a G-invariant measure on M, cf. Theorems (2.1) and (3.2) in the in...... hiện toàn bộ
On a theorem of Kanold on odd perfect numbers
Indian Journal of Pure and Applied Mathematics -
Tomohiro Yamada
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