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The goal of is to study how increased variability in the degree distribution impacts the global connectivity properties of a large network. We approach this question by modeling the network as a uniform random graph with a given degree…

Social and Information Networks · Computer Science 2017-02-24 Lasse Leskelä , Hoa Ngo

Evaluating the magnitude of natural climate variations is important because it can greatly affect future climate policies. As an example, we examine the influence of changes in solar activity (solar wind in particular) on surface…

Atmospheric and Oceanic Physics · Physics 2018-07-12 Kiminori Itoh , Shinya Matsuo , Hiroshi Serizawa , Kazuyoshi Yamashita , Takashi Amemiya

Understanding how species persist under interacting stressors is a central challenge in ecology. We develop a spatially explicit reaction-diffusion framework to investigate competing species in landscapes shaped by climate variability,…

Populations and Evolution · Quantitative Biology 2026-02-02 Ton Viet Ta

In an ecosystem, environmental changes as a result of natural and human processes can cause some key parameters of the system to change with time. Depending on how fast such a parameter changes, a tipping point can occur. Existing works on…

Populations and Evolution · Quantitative Biology 2023-11-16 Shirin Panahi , Younghae Do , Alan Hastings , Ying-Cheng Lai

The concept of communicability is introduced for complex socio-economic networks. The communicability function expresses how an impact propagates from one place to another in the network. This function is used to define unambiguously the…

Physics and Society · Physics 2015-04-24 Ernesto Estrada , Naomichi Hatano

Correlated fluctuations in the activity of neural populations reflect the network's dynamics and connectivity. The temporal and spatial dimensions of neural correlations are interdependent. However, prior theoretical work mainly analyzed…

Neurons and Cognition · Quantitative Biology 2022-07-19 Yan-Liang Shi , Roxana Zeraati , Anna Levina , Tatiana A. Engel

A Random Geometric Graph (RGG) ensemble is defined by the disordered distribution of its node locations. We investigate how this randomness drives sample-to-sample fluctuations in the dynamical properties of these graphs. We study the…

Physics and Society · Physics 2018-12-05 Matthew Garrod , Nick S. Jones

Information-theoretic quantities, such as entropy, are used to quantify the amount of information a given variable provides. Entropies can be used together to compute the mutual information, which quantifies the amount of information two…

Data Analysis, Statistics and Probability · Physics 2014-12-22 Kevin H. Knuth , Deniz Gençağa , William B. Rossow

Quantitative descriptions of network structure in big data can provide fundamental insights into the function of interconnected complex systems. Small-world structure, commonly diagnosed by high local clustering yet short average path…

Neurons and Cognition · Quantitative Biology 2015-05-12 Sarah Feldt Muldoon , Eric W. Bridgeford , Danielle S. Bassett

The apparantly irregular (unpredictable) space-time fluctuations in atmospheric flows ranging from climate (thousands of kilometers - years) to turbulence (millimeters - seconds) exhibit the universal symmetry of self-similarity.…

General Physics · Physics 2007-05-23 J. S. Pethkar , A. M. Selvam

Climate models are thought to solve boundary value problems unlike numerical weather prediction, which is an initial value problem. However, climate internal variability (CIV) is thought to be relatively important at near-term (0-30 year)…

Atmospheric and Oceanic Physics · Physics 2016-01-20 Devashish Kumar , Auroop R. Ganguly

We review mathematically tractable models for connected networks on random points in the plane, emphasizing the class of proximity graphs which deserves to be better known to applied probabilists and statisticians. We introduce and motivate…

Probability · Mathematics 2011-01-06 David J. Aldous , Julian Shun

Climate models have become an important tool in the study of climate and climate change, and ensemble experiments consisting of multiple climate-model runs are used in studying and quantifying the uncertainty in climate-model output.…

Applications · Statistics 2011-04-15 Stephan R. Sain , Reinhard Furrer , Noel Cressie

Natural climate variability, captured through multiple initial condition ensembles, may be comparable to the variability caused by knowledge gaps in future emissions trajectories and in the physical science basis, especially at…

Applications · Statistics 2019-06-24 Udit Bhatia , Auroop Ratan Ganguly

We investigate a relationship network of humans located in a metric space where relationships are drawn according to a distance-dependent probability density. The obtained spatial graph allows us to calculate the average separation of…

Physics and Society · Physics 2007-05-23 Matus Medo

There are many scales at which to quantify stability in spatial and ecological networks. Local-scale analyses focus on specific nodes of the spatial network, while regional-scale analyses consider the whole network. Similarly, species- and…

Populations and Evolution · Quantitative Biology 2022-10-19 Javier Jarillo , Francisco J. Cao-García , Frederik De Laender

In recent years extensive studies on the Earth's climate system have been carried out by means of advanced complex network statistics. The great majority of these studies, however, have been focusing on investigating correlation structures…

Atmospheric and Oceanic Physics · Physics 2020-10-20 Marc Wiedermann , Jonathan F. Donges , Dörthe Handorf , Jürgen Kurths , Reik V. Donner

This study aims to improve the accuracy of weather predictions by discovering spatial correlations between Earth observations and atmospheric states. Existing numerical weather prediction (NWP) systems predict future atmospheric states at…

Machine Learning · Computer Science 2025-11-11 Hyeon-Ju Jeon , Jeon-Ho Kang , In-Hyuk Kwon , O-Joun Lee

Shaw and Stevens call for a new paradigm in climate science criticizes Large Scale Determinism in favor of (i) embracing discrepancies, (ii) embracing hierarchies, and (iii) create disruption while keeping interpretability. The last 20…

Physics and Society · Physics 2025-10-14 Emilio Porcu , Tobia Filosi , Horst Simon

We study the transitions to spatio-temporal intermittency in networks of randomly coupled Chate-Manneville maps. The relevant paprameters are the network connectivity, coupling strength, and the local parameter of the map. We show that the…

Chaotic Dynamics · Physics 2007-05-23 D. Volchenkov , S. Sequeira , Ph. Blanchard