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We study solutions of exponential polynomials over the complex field. Assuming Schanuel's conjecture we prove that certain polynomials have generic solutions in the complex field.

逻辑 · 数学 2016-02-08 P. D'Aquino , A. Fornasiero , G. Terzo

Pattern avoidance for permutations has been extensively studied, and has been generalized to vincular patterns, where certain elements can be required to be adjacent. In addition, cyclic permutations, i.e., permutations written in a circle…

组合数学 · 数学 2022-04-26 Rupert Li

This paper has been withdrawn by the author due to a crucial argument error at p.10.

交换代数 · 数学 2007-05-23 Susumu Oda

This paper has been withdrawn by the author due to an error in the main proof (thanks to Carlos D'Andrea)

交换代数 · 数学 2007-05-23 P. Ullrich

This paper has been withdrawn by the author due to text overlap with arXiv:1102.5004, as well as omission of proper citations to arXiv:1110.4655 and arXiv:1111.0313

天体物理仪器与方法 · 物理学 2015-03-19 Noble P. Abraham

A chemical kinetic model of the elongation dynamics of RNA polymerase along a DNA sequence is introduced. The proposed model governs the discrete movement of the RNA polymerase along a DNA template, with no consideration given to elastic…

生物大分子 · 定量生物学 2007-05-23 Yujiro Richard Yamada , Charles S. Peskin

Field-theoretical method is efficient in predicting the assembling structures of polymeric systems. However, for the polymer/nanoparticle mixture, the continuous density description is not suitable to capture the realistic assembly of…

软凝聚态物质 · 物理学 2017-05-17 Hui-shu Li , Bo-kai Zhang , Jian Li , Wen-de Tian , Kang Chen

In this paper, we study the degenerate derangement polynomials and numbers, investigate some properties of those polynomials and numbers and explore their connections with the degenerate gamma distributions. In more detail, we derive their…

数论 · 数学 2020-11-18 Taekyun Kim , Dae san Kim , Hyunseok Lee , Lee-Chae Jang

Previous work proposed a strong-disorder renormalization approach for the Anderson model, using it to calculate the density of states and the inverse participation ratio [Johri \& Bhatt, Phys.\ Rev.\ B {\bf 90} 060205(R) (2014)]. This is…

无序系统与神经网络 · 物理学 2023-05-17 Rachel Wortis , Eamonn Campbell , Donovan Allum

The paper has been withdrawn.

量子代数 · 数学 2007-05-23 Boris Shoikhet

We use a probabilistic approach to describe the behavior as $n -> \infty$ of the Laplace transforms of $P^n$, where $P$ a fixed complex polynomial. As a consequence we obtain a new elementary proof of an result of Gillis-Ismail-Offer in the…

经典分析与常微分方程 · 数学 2007-05-23 Liviu I. Nicolaescu

We perform a renormalization group (RG) analysis of collinear hadron production in deep inelastic scattering on nuclei. We consider the limit where the parent parton energy $E$ is large, while the medium opacity $L/\lambda_g$ remains small.…

高能物理 - 唯象学 · 物理学 2024-05-24 Weiyao Ke , Ivan Vitev

A simple model of a polymer with long rigid segments which interact via excluded volume repulsions and short ranged attractions is proposed. The coil-globule transition of this model polymer is strongly first order, the globule is…

软凝聚态物质 · 物理学 2009-10-30 Richard P. Sear

The paper is withdrawn.

动力系统 · 数学 2007-05-23 Leonid Polterovich , Mikhail Sodin

Test experiments of hybridization in DNA microarrays show systematic deviations from the equilibrium isotherms. We argue that these deviations are due to the presence of a partially hybridized long-lived state, which we include in a kinetic…

生物大分子 · 定量生物学 2010-06-16 J. Hooyberghs , M. Baiesi , A. Ferrantini , E. Carlon

The paper was withdrawn because of its significant overlap with a paper appeared recently.

组合数学 · 数学 2008-06-30 Marilena Barnabei , Flavio Bonetti , Matteo Silimbani

This short note amends Proposition 2.5 of the named article, which states that a full coaction of a locally compact group on a C*-algebra is nondegenerate if and only if its normalization is. The proof given there of the reverse implication…

算子代数 · 数学 2016-08-03 S. Kaliszewski , John Quigg

The topological interaction arising in interlinked polymeric rings such as DNA catenanes is considered. More specifically, the free energy for a pair of linked random walk rings is derived where the distance $R$ between two segments each of…

统计力学 · 物理学 2016-08-31 Matthias Otto

Templated copolymerization, in which information stored in the sequence of a heteropolymer template is copied into another polymer product, is the mechanism behind all known methods of genetic information transfer. A key aspect of templated…

生物物理 · 物理学 2025-02-10 Jeremy E. B. Guntoro , Benjamin J. Qureshi , Thomas E. Ouldridge

The algebraic method of renormalization is applied to the standard model of electroweak interactions. We present the most important modifications compared to theories with simple groups.

高能物理 - 理论 · 物理学 2007-05-23 Elisabeth Kraus
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