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Vegetation in semi-arid environments self-organizes into striking spatial patterns -- bands, spots, labyrinths, and gaps -- with characteristic wavelengths on the order of tens to hundreds of meters. Existing reaction-diffusion models…

斑图形成与孤子 · 物理学 2026-04-06 Chad M. Topaz

This is a numerical study of wind pressure loads on low rise buildings in which three different types of roofs were analyzed which are the flat, gable and circular roof at different wind speed. The numerical analysis was performed using…

流体动力学 · 物理学 2023-09-21 Saidi Olayinka Olalere , Olufemi Alayode

Climate change is reshaping species interactions and movement across fragmented landscapes. Despite this, most mathematical models assume random diffusion, overlooking the influence of directed movement. Here, we develop a graph based…

动力系统 · 数学 2026-04-08 Pranali Roy Chowdhury , Soumyendu Raha

In this manuscript we study how the vertex energy of a tree is affected when joined with a bipartite graph. We find an alternating pattern with respect to the coalescence vertex: the energy decreases for vertices located at odd distances…

谱理论 · 数学 2024-02-06 Octavio Arizmendi , Saylé Sigarreta

Understanding how submerged vegetation modifies the water surface is crucial for modeling momentum exchange between shallow waters and the atmosphere. In particular, quantifying its impact on the equivalent aerodynamic roughness of the…

流体动力学 · 物理学 2026-01-26 Giulio Foggi Rota , Alessandro Chiarini , Marco Edoardo Rosti

We study a model ecosystem by means of dynamical techniques from disordered systems theory. The model describes a set of species subject to competitive interactions through a background of resources, which they feed upon. Additionally…

种群与进化 · 定量生物学 2009-11-13 Yoshimi Yoshino , Tobias Galla , Kei Tokita

This paper introduces a new class of observation driven dynamic models. The time evolving parameters are driven by innovations of copula form. The resulting models can be made strictly stationary and the innovation term is typically chosen…

统计方法学 · 统计学 2021-04-05 Landan Zhang , Michael K. Pitt , Robert Kohn

We present the first "combined stellar structure and atmosphere models" (CoStar) for massive stars, which consistently treat the entire mass loosing star from the center out to the asymptotic wind velocity. The models use up-to-date input…

天体物理学 · 物理学 2007-05-23 D. Schaerer , A. de Koter , W. Schmutz , A. Maeder

We define and study a model of winding for non-colliding particles in finite trees. We prove that the asymptotic behavior of this statistic satisfies a central limiting theorem, analogous to similar results on winding of bounded particles…

组合数学 · 数学 2020-04-03 David A. Levin , Eric Ramos , Benjamin Young

Emergence and growth of sand dunes results from the dynamic interaction between topography, wind flow and sediment transport. While feedbacks between these variables are well studied at the scale of a single and relatively small dune, the…

Tropical rainforests exhibit a rich repertoire of spatial patterns emerging from the intricate relationship between the microscopic interaction between species. In particular, the distribution of vegetation clusters can shed much light on…

统计力学 · 物理学 2024-09-04 Pablo Villegas , Tommaso Gili , Guido Caldarelli , Andrea Gabrielli

The varying-coefficient model is a strong tool for the modelling of interactions in generalized regression. It is easy to apply if both the variables that are modified as well as the effect modifiers are known. However, in general one has a…

统计方法学 · 统计学 2017-05-25 Moritz Berger , Gerhard Tutz , Matthias Schmid

This work explores the relationship between wind speed and time-dependent structural motion response as a means of leveraging the rich information visible in flow-structure interactions for anemometry. We build on recent work by Cardona et…

流体动力学 · 物理学 2021-07-22 Jennifer L. Cardona , John O. Dabiri

In a regression analysis, suppose we suspect that there are several heterogeneous groups in the population that a sample represents. Mixture regression models have been applied to address such problems. By modeling the conditional…

统计方法学 · 统计学 2013-07-02 Toshiya Hoshikawa

In probability and statistics, copulas play important roles theoretically as well as to address a wide range of problems in various application areas. We introduce the concept of multivariate discrete copulas, discuss their equivalence to…

统计方法学 · 统计学 2015-12-18 Roman Schefzik

The intensification and increased frequency of weather extremes is emerging as one of the most important aspects of climate change. We use Monte Carlo simulation to understand and predict the consequences of variations in trends (i.e.,…

种群与进化 · 定量生物学 2011-08-26 Simone Vincenzi , Michele Bellingeri

Copulas are a powerful tool for modeling multivariate distributions as they allow to separately estimate the univariate marginal distributions and the joint dependency structure. However, known parametric copulas offer limited flexibility…

机器学习 · 统计学 2021-11-11 Tim Janke , Mohamed Ghanmi , Florian Steinke

We introduce a novel perspective by linking ordered probabilistic choice to copula theory, a mathematical framework for modeling dependencies in multivariate distributions. Each representation of ordered probabilistic choice behavior can be…

理论经济学 · 经济学 2025-07-10 Christopher P. Chambers , Yusufcan Masatlioglu , Kemal Yildiz

The concept of sustainable intensification in agriculture necessitates the implementation of management practices that prioritize sustainability without compromising productivity. However, the effects of such practices are known to depend…

From geometry and conservation we derive two nonlinear evolution equations for sand ripples. In the case of a strong wind leading to a net erosion of the sand bed, ripples obey the Benney equation. This leads either to order or disorder…

统计力学 · 物理学 2007-05-23 Zoltan Csahok , Chaouqi Misbah , Alexandre Valance