Results 11 to 20 of about 16,079 (204)
The distribution of Mahler's measures of reciprocal polynomials
We study the distribution of Mahler's measures of reciprocal polynomials with complex coefficients and bounded even degree. We discover that the distribution function associated to Mahler's measure restricted to monic reciprocal polynomials is a ...
Sinclair, Christopher D.
core +3 more sources
Fractional differential equations solved by using Mellin transform
In this paper, the solution of the multi-order differential equations, by using Mellin Transform, is proposed. It is shown that the problem related to the shift of the real part of the argument of the transformed function, arising when the Mellin ...
Butera, Salvatore, Di Paola, Mario
core +1 more source
Statistical Skorohod embedding problem and its generalizations [PDF]
Given a L\'evy process $L$, we consider the so-called statistical Skorohod embedding problem of recovering the distribution of an independent random time $T$ based on i.i.d.
Belomestny, Denis, Schoenmakers, John
core +5 more sources
Survival, rarity, and extinction in tropical stony corals
Abstract Many reef‐building tropical corals are becoming rare. We considered the meaning of rarity in corals and highlighted taxa that have reached low abundances in the last few decades. The difficulties of quantifying rarity in the marine environment arise from the sheer scale and 3‐dimensional nature of the biome and the inherent challenges therein ...
Bryan Wilson, Peter J. Edmunds
wiley +1 more source
This paper presents a robust reversible watermarking algorithm based on Chebyshev moments, employing a two‐stage embedding mechanism. The proposed method leverages image block partitioning to embed the copyright watermark and the reversible watermark into non‐overlapping regions located inside and outside the inscribed circle of the image, respectively.
Wenjing Sun, Ling Zhang, Hongjun Zhang
wiley +1 more source
On a rigidity property for quadratic gauss sums
Abstract Let N$N$ be a large prime and let c>1/4$c > 1/4$. We prove that if f$f$ is a ±1$\pm 1$‐valued multiplicative function, such that the exponential sums Sf(a):=∑1⩽n
Alexander P. Mangerel
wiley +1 more source
Mellin transform of quartic products of shifted Airy functions
The Mellin transform of quartic products of shifted Airy functions is evaluated in a closed form. Some particular cases expressed in terms of the logarithm function and complete elliptic integrals special values are presented.Comment: Submitted to ...
Abramochkin, E. G., Razueva, E. V.
core +1 more source
Solution of Caputo Generalized Bagley–Torvik Equation Using the Tarig Transform
A fractional‐order differential equation called the Bagley–Torvik equation describes the behavior of viscoelastic damping. We employed the newly defined Tarig transform in this study to find the analytic solution to the Caputo generalized Bagley–Torvik equation.
Lata Chanchlani +4 more
wiley +1 more source
New four-dimensional integrals by Mellin-Barnes transform
This paper is devoted to the calculation by Mellin-Barnes transform of a especial class of integrals. It contains double integrals in the position space in d = 4-2e dimensions, where e is parameter of dimensional regularization.
Cvetič G. +6 more
core +1 more source
ABSTRACT Aim Climate change is reshuffling the distribution of species globally and threatening to modify the structure and functioning of natural and managed ecosystems. Most studies predicting species distributions rely on statistical approaches that do not capture the species' fundamental niche.
Cristián J. Monaco +1 more
wiley +1 more source

