Results 61 to 70 of about 1,649 (181)
On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We study the derivative of the characteristic polynomial of N×N$N \times N$ Haar‐distributed unitary matrices. We obtain new explicit formulae for complex‐valued moments when the spectral variable is inside the unit disc, in the limit N→∞$N \rightarrow \infty$.
Nicholas Simm, Fei Wei
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MathematicsIn this paper, a Toeplitz construction method based on eigenvalues and eigenvectors is proposed to combine with traditional denoising algorithms, including fractional low-order moment (FLOM), phased fractional low-order moment (PFLOM), and correntropy ...
Junyan Cui, Wei Pan, Haipeng Wang
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On th-Order Slant Weighted Toeplitz Operator
The Scientific World Journal, 2013 Let be a sequence of positive numbers with , when and when . A th-order slant weighted Toeplitz operator on is given by , where is the multiplication on and is an operator on given by , being the orthonormal basis for . In this paper, we define
S. C. Arora, Ritu Kathuria
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Polynomial factorization through Toeplitz matrix computations
Linear Algebra and its Applications, 2003 The authors consider a polynomial of the form \[ p(z)=p_0+p_1z+\dots+p_{n-1}z^{n-1}+z^n (p_0 \neq 0) \] for which it is known that there are \(m\geq 1\) zeros in \(\{z\in \mathbb{C}:|z|1\}\) and it is assumed (without loss of generality) that \(m\geq n-m\).
BINI, DARIO ANDREA, BOETTCHER A.
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Discrete analogues of second‐order Riesz transforms
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Discrete analogues of classical operators in harmonic analysis have been widely studied, revealing deep connections with areas such as ergodic theory and analytic number theory. This line of research is commonly known as Discrete Analogues in Harmonic Analysis (DAHA).
Rodrigo Bañuelos, Daesung Kim
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FIXED POINT THEOREM FOR AN INFINITE TOEPLITZ MATRIX [PDF]
Bulletin of the Australian Mathematical Society, 2020 AbstractFor an infinite Toeplitz matrix T with nonnegative real entries we find the conditions under which the equation $\boldsymbol {x}=T\boldsymbol {x}$ , where $\boldsymbol {x}$ is an infinite vector column, has a nontrivial bounded positive solution.
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Securing Generative Artificial Intelligence with Parallel Magnetic Tunnel Junction True Randomness
Advanced Intelligent Systems, Volume 8, Issue 2, February 2026.True random numbers can protect generative artificial intelligence (GAI) models from attacks. A highly parallel, spin‐transfer torque magnetic tunnel junction‐based system is demonstrated that generates high‐quality, energy‐efficient random numbers.
Youwei Bao, Shuhan Yang, Hyunsoo Yang
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Expansions for eigenfunction and eigenvalues of large-$n$ Toeplitz matrices [PDF]
Papers in Physics, 2010 This paper constructs methods for finding convergent expansions for eigenvectors and eigenvalues of large-$n$ Toeplitz matrices based on a situation in which the analogous infinite-$n$ matrix would be singular. It builds upon work done by Dai, Geary, and
Leo P. Kadanoff
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Missing Value Imputation With Adversarial Random Forests—MissARF
Statistics in Medicine, Volume 45, Issue 3-5, February 2026.ABSTRACT Handling missing values is a common challenge in biostatistical analyses, typically addressed by imputation methods. We propose a novel, fast, and easy‐to‐use imputation method called missing value imputation with adversarial random forests (MissARF), based on generative machine learning, that provides both single and multiple imputation ...
Pegah Golchian +3 more
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Direction-of-Arrival Estimation in Coprime Array Using the ESPRIT-Based Method
Sensors, 2019 Coprime arrays have shown potential advantages for direction-of-arrival (DOA) estimation by increasing the number of degrees-of-freedom in the difference coarray domain with fewer physical sensors.
Zhen Meng, Weidong Zhou
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