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The operational calculus associated with Hermite numbers has been shown to be an effective tool for simplifying the study of special functions. Within this context, Hermite polynomials have been viewed as Newton binomials, with the…

数论 · 数学 2026-04-23 Giuseppe Dattoli , Subuhi Khan , Ujair Ahmad

In this paper, we introduce a new evolutionary optimization algorithm based on Tukey's symmetric lambda distribution. Tukey distribution is defined by 3 parameters, the shape parameter, the scale parameter, and the location parameter or…

神经与进化计算 · 计算机科学 2020-06-09 Vahraz Jamnejad , Ahmad Hoorfar

The interplay between space and evolution is an important issue in population dynamics, that is in particular crucial in the emergence of polymorphism and spatial patterns. Recently, biological studies suggest that invasion and evolution…

概率论 · 数学 2016-08-16 Nicolas Champagnat , Sylvie Méléard

The next-to-leading order (NLO) Balitsky-Kovchegov (BK) equation describing the high-energy evolution of the scattering between a dilute projectile and a dense target suffers from instabilities unless it is supplemented by a proper…

高能物理 - 唯象学 · 物理学 2019-05-01 B. Ducloué , E. Iancu , A. H. Mueller , G. Soyez , D. N. Triantafyllopoulos

The evolution kernels that govern the scale dependence of the generalized parton distributions are invariant under transformations of the $\mathrm{SL}(2,\mathrm R)$ collinear subgroup of the conformal group. Beyond one loop the symmetry…

高能物理 - 唯象学 · 物理学 2024-04-01 Yao Ji , Alexander Manashov , Sven-Olaf Moch

We establish well-posedness in the mild sense for a class of stochastic semilinear evolution equations with a polynomially growing quasi-monotone nonlinearity and multiplicative Poisson noise. We also study existence and uniqueness of…

概率论 · 数学 2010-10-18 Carlo Marinelli , Michael Röckner

Jets selected with high internal charged-particle multiplicity exhibit markedly different substructure patterns compared to inclusive jet samples. Such correlations motivate a systematic study of jet observables as a function of the…

高能物理 - 唯象学 · 物理学 2025-10-07 Pi Duan , Weiyao Ke , Guang-You Qin , Lei Wang

Exponential divided differences arise in numerical linear algebra, matrix-function evaluation, and quantum Monte Carlo simulations, where they serve as kernel weights for time evolution and observable estimation. Efficient and numerically…

计算物理 · 物理学 2025-12-30 Itay Hen

We suggest the method for group classification of evolution equations admitting nonlocal symmetries which are associated with a given evolution equation possessing nontrivial Lie symmetry. We apply this method to second-order evolution…

可精确求解与可积系统 · 物理学 2009-07-13 Renat Zhdanov

We have performed new Big Bang Nucleosynthesis calculations which employ arbitrarily-specified, time-dependent neutrino and antineutrino distribution functions for each of up to four neutrino flavors. We self-consistently couple these…

天体物理学 · 物理学 2010-04-30 Christel J. Smith , George M. Fuller , Michael S. Smith

We introduce a curvature-dimension condition for autonomous Lagrangians on weighted manifolds, which depends on the Euler-Lagrange dynamics on a single energy level. By generalizing Klartag's needle decomposition technique to the Lagrangian…

微分几何 · 数学 2026-02-11 Rotem Assouline

We present first calculations of the fluctuating gluon distribution in a proton as a function of impact parameter and rapidity employing the functional Langevin form of the JIMWLK renormalization group equation. We demonstrate that when…

高能物理 - 唯象学 · 物理学 2015-06-22 Soeren Schlichting , Bjoern Schenke

An extended version of the antisymmetrized molecular dynamics to study structure of $p$-$sd$ shell hypernuclei is developed. By using an effective $\Lambda N$ interaction, we investigate energy curves of $^9_\Lambda$Be, $^{13}_\Lambda$C and…

核理论 · 物理学 2011-05-13 Masahiro Isaka , Masaaki Kimura , Akinobu Dote , Akira Ohnishi

We introduce a family of models incorporating random segmental substitutions and point mutations and demonstrate that such models reproduce algebraic length distributions of exact matches with the slope $-4$ observed earlier in pairwise…

基因组学 · 定量生物学 2015-07-15 M. V. Koroteev , P. V. Baranov

Since the sequencing of large genomes, many statistical features of their sequences have been found. One intriguing feature is that certain subsequences are much more abundant than others. In fact, abundances of subsequences of a given…

种群与进化 · 定量生物学 2016-08-05 Michael Sheinman , Anna Ramisch , Florian Massip , Peter F. Arndt

The evolutionary origin of universal statistics in biochemical reaction network is studied, to explain the power-law distribution of reaction links and the power-law distributions of chemical abundances. Using cell models with catalytic…

种群与进化 · 定量生物学 2009-11-11 Chikara Furusawa , Kunihiko Kaneko

We calculate the exact kinetic evolution of cosmic neutrinos until complete decoupling, in the case when a large neutrino asymmetry exists. While not excluded by present observations, this large asymmetry can have relevant cosmological…

天体物理学 · 物理学 2009-10-31 S. Esposito , G. Miele , S. Pastor , M. Peloso , O. Pisanti

In general or normal random matrix ensembles, the support of eigenvalues of large size matrices is a planar domain (or several domains) with a sharp boundary. This domain evolves under a change of parameters of the potential and of the size…

高能物理 - 理论 · 物理学 2007-05-23 R. Teodorescu , E. Bettelheim , O. Agam , A. Zabrodin , P. Wiegmann

We analyze the nearest neighbor spacing distributions of low-lying 2+ levels of even-even nuclei. We grouped the nuclei into classes defined by the quadrupole deformation parameter (Beta2). We calculate the nearest neighbor spacing…

核理论 · 物理学 2011-02-14 A. Al-Sayed

In this short note the QED extension of the nucleon spin sum rule is considered. To this end, the leading-order (LO) QED evolution kernels for the quark/gluon helicity and orbital-angular-momentum (OAM) distributions are calculated, as well…

高能物理 - 唯象学 · 物理学 2022-04-26 Miguel G. Echevarria