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For a given pure state of multipartite system, the concurrence vector is defined by employing the defining representation of generators of the corresponding rotation groups. The norm of concurrence vector is considered as a measure of…

Quantum Physics · Physics 2009-11-10 S. J. Akhtarshenas

Nutrients from a flowering plant are shared by its pollinators, giving rise to competition in the latter. Such exploitative competition of pollinators can limit their abundance and affect the global organization of the mutualistic…

Populations and Evolution · Quantitative Biology 2019-04-02 Seong Eun Maeng , Jae Woo Lee , Deok-Sun Lee

What makes economic and ecological networks so unlike other highly skewed networks in their tendency toward turbulence and collapse? Here, we explore the consequences of a defining feature of these networks: their nodes are tied together by…

Physics and Society · Physics 2013-08-06 Jesse Shore , Catherine J. Chu , Matt T. Bianchi

The quest to understand structure-function relationships in networks across scientific disciplines has intensified. However, the optimal network architecture remains elusive, particularly for complex information processing. Therefore, we…

Adaptation and Self-Organizing Systems · Physics 2024-03-27 Manish Yadav , Sudeshna Sinha , Merten Stender

Two parties wish to carry out certain distributed computational tasks, and they are given access to a source of correlated random bits. It allows the parties to act in a correlated manner, which can be quite useful. But what happens if the…

Computational Complexity · Computer Science 2015-08-27 Mohammad Bavarian , Dmitry Gavinsky , Tsuyoshi Ito

Recent research has identified interactions between networks as crucial for the outcome of evolutionary games taking place on them. While the consensus is that interdependence does promote cooperation by means of organizational complexity…

Physics and Society · Physics 2013-08-23 Zhen Wang , Attila Szolnoki , Matjaz Perc

Loyalty programs are important tools for sharing platforms seeking to grow supply. Online sharing platforms use loyalty programs to heavily subsidize resource providers, encouraging participation and boosting supply. As the sharing economy…

Computer Science and Game Theory · Computer Science 2018-05-10 Zhixuan Fang , Longbo Huang , Adam Wierman

All life, including cells and artificial protocells, must integrate diverse molecules into a single unit in order to reproduce. Despite expected pressure to evolve a simple system with the fastest replication speed, the mechanism by which…

Cell Behavior · Quantitative Biology 2014-08-12 Atsushi Kamimura , Kunihiko Kaneko

We study a class of elliptic competition-diffusion systems of long range segregation models for two and more competing species. The existence and uniqueness of the solution are shown. We prove that as the competition rate goes to infinity…

Analysis of PDEs · Mathematics 2017-11-07 Farid Bozorgnia

The Triple Helix model has provided a foundational framework for analyzing National Innovation Systems by highlighting the roles of universities, industries, and government research institutes. However, increasing heterogeneity within these…

Physics and Society · Physics 2025-08-06 Dawoon Jeong , Taewon Kang , Saerom Si , Sangnam Lee , Wonsub Eum

Exchange of services and resources in, or over, networks is attracting nowadays renewed interest. However, despite the broad applicability and the extensive study of such models, e.g., in the context of P2P networks, many fundamental…

Computer Science and Game Theory · Computer Science 2015-04-09 Leonidas Georgiadis , George Iosifidis , Leandros Tassiulas

The origin of economic crises is a key problem for economics. We present a model of long-run competitive markets to show that the multiplicity of behaviors in an economic system, over a long time scale, emerge as statistical regularities…

Physics and Society · Physics 2010-10-08 Yong Tao

As an alternative view to the graph formation models in the statistical physics community, we introduce graph formation models using \textit{network formation} through selfish competition as an approach to modeling graphs with particular…

Optimization and Control · Mathematics 2015-03-13 Shaun Lichter , Christopher Griffin , Terry Friesz

Subgraphs are very important for understanding structure and function of complex networks. Dyad and triad are the elementary subgraphs. We focus on the distribution of their act degree defined as the number of activities, events or…

Physics and Society · Physics 2011-09-06 A. -X. Feng , C. -H. Fu , X. -L. Xu , Ai-Fen Liu , H. Chang , D. -R. He , G. -L. Feng

We investigate multi-round team competitions between two teams, where each team selects one of its players simultaneously in each round and each player can play at most once. The competition defines an extensive-form game with perfect…

Computer Science and Game Theory · Computer Science 2016-02-25 Kai Jin , Pingzhong Tang , Shiteng Chen

We introduce a new interpretation of two related notions - conditional utility and utility independence. Unlike the traditional interpretation, the new interpretation renders the notions the direct analogues of their probabilistic…

Computer Science and Game Theory · Computer Science 2013-02-08 Yoav Shoham

The relationships which characterise the outcomes of the interactions between firms in the economy appear to follow power law behaviour. In particular, there is evidence that the empirical power laws which relate the size of an extinction…

Condensed Matter · Physics 2007-05-23 P Ormerod , H Johns

Our work introduces the effect of supply/demand imbalances into the literature on online matching with stochastic rewards in bipartite graphs. We provide a parameterized definition that characterizes instances as over- or undersupplied (or…

Data Structures and Algorithms · Computer Science 2025-02-12 Benjamin Barrientos , Daniel Freund , Daniela Saban

Many natural, physical and social networks commonly exhibit power-law degree distributions. In this paper, we discover previously unreported asymmetrical patterns in the degree distributions of incoming and outgoing links in the…

Social and Information Networks · Computer Science 2015-07-17 Jianxi Luo , Daniel E. Whitney

We study an individual based model describing competition in space between two different alleles. Although the model is similar in spirit to classic models of spatial population genetics such as the stepping stone model, here however space…

Populations and Evolution · Quantitative Biology 2015-03-20 Simone Pigolotti , Roberto Benzi , Prasad Perlekar Mogens H. Jensen , Federico Toschi , David R. Nelson