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The hopping dynamics of two fermionic species with different effective masses in the one-dimensional Hubbard model driven by an external field is theoretically investigated. A multiple-time-scale asymptotic analysis of the driven asymmetric…

Strongly Correlated Electrons · Physics 2015-06-16 S. Longhi , G. Della Valle

Many networks in political and social research are bipartite, with edges connecting exclusively across two distinct types of nodes. A common example includes cosponsorship networks, in which legislators are connected indirectly through the…

Applications · Statistics 2024-12-11 Adeline Lo , Santiago Olivella , Kosuke Imai

The architecture of bipartite networks linking two classes of constituents is affected by the interactions within each class. For the bipartite networks representing the mutualistic relationship between pollinating animals and plants, it…

Populations and Evolution · Quantitative Biology 2012-03-13 Seong Eun Maeng , Jae Woo Lee , Deok-Sun Lee

In this paper, a bipartite consensus problem for a multi-agent system is formulated firstly. Then an event-based interaction rule is proposed for the multi-agent system with antagonistic interactions. The bipartite consensus stability is…

Adaptation and Self-Organizing Systems · Physics 2013-11-01 Yulong Zhou , Jiangping Hu

We consider a random geometric hypergraph model based on an underlying bipartite graph. Nodes and hyperedges are sampled uniformly in a domain, and a node is assigned to those hyperedges that lie with a certain radius. From a modelling…

Probability · Mathematics 2023-09-19 Henry-Louis de Kergorlay , Desmond J. Higham

In this work we present a strategic network formation model predicting the emergence of multigroup structures. Individuals decide to form or remove links based on the benefits and costs those connections carry; we focus on bilateral consent…

Social and Information Networks · Computer Science 2020-01-30 Shadi Mohagheghi , Jingying Ma , Francesco Bullo

In social dilemmas, most interactions are transient and susceptible to restructuring, leading to continuous changes in social networks over time. Typically, agents assess the rewards of their current interactions and adjust their…

Physics and Society · Physics 2025-11-25 Xiaojin Xiong , Yichao Yao , Minyu Feng , Manuel Chica

The `random intersection graph with communities' models networks with communities, assuming an underlying bipartite structure of groups and individuals. Each group has its own internal structure described by a (small) graph, while groups…

Probability · Mathematics 2019-10-23 Remco van der Hofstad , Júlia Komjáthy , Viktória Vadon

Emergent communication offers insight into how agents develop shared structured representations, yet most research assumes homogeneous modalities or aligned representational spaces, overlooking the perceptual heterogeneity of real-world…

Multiagent Systems · Computer Science 2026-01-30 Naomi Pitzer , Daniela Mihai

We study the asymptotic behavior for asymmetric neuronal dynamics in a network of linear Hopfield neurons. The interaction between the neurons is modeled by random couplings which are centered i.i.d. random variables with finite moments of…

Probability · Mathematics 2020-06-08 Olivier Faugeras , Émilie Soret , Etienne Tanré

An affiliation network is a particular type of two-mode social network that consists of a set of `actors' and a set of `events' where ties indicate an actor's participation in an event. Although networks describe a variety of consequential…

Methodology · Statistics 2015-06-11 Yanan Jia , Catherine A. Calder , Christopher R. Browning

In this paper we address the problem of coalition formation in hedonic context. Our modelling tries to be as realistic as possible. In previous models, once an agent joins a coalition it would not be able to leave the coalition and join the…

Multiagent Systems · Computer Science 2013-08-16 Ahmadreza Ghaffarizadeh , Vicki H. Allan

We introduce a two layer network model for social coordination incorporating two relevant ingredients: a) different networks of interaction to learn and to obtain a payoff , and b) decision making processes based both on social and…

Physics and Society · Physics 2014-10-17 Haydee Lugo , Maxi San Miguel

As a step towards studying human-agent collectives we conduct an online game with human participants cooperating on a network. The game is presented in the context of achieving group formation through local coordination. The players set…

Physics and Society · Physics 2019-07-11 Kunal Bhattacharya , Tuomas Takko , Daniel Monsivais , Kimmo Kaski

We study collective helping behavior and bystander effects in a coevolving helping network model. A node and a link of the network represents an agent who renders or receives help and a friendly relation between agents, respectively. A…

Physics and Society · Physics 2014-04-11 Hang-Hyun Jo , Hyun Keun Lee , Hyunggyu Park

Learning or memory formation are associated with the strengthening of the synaptic connections between neurons according to a pattern reflected by the input. According to this theory a retained memory sequence is associated to a dynamic…

Dynamical Systems · Mathematics 2016-03-23 Pascal Chossat , Martin Krupa

A model equation has been proposed to describe bimodal features in vehicular traffic flows. The dynamics of the bimodal distribution reveals the existence of a fixed point that is connected to itself by a homoclinic trajectory. The…

Physics and Society · Physics 2014-04-15 Arjun Mullick , Arnab K. Ray

Many real-world complex networks are best modeled as bipartite (or 2-mode) graphs, where nodes are divided into two sets with links connecting one side to the other. However, there is currently a lack of methods to analyze properly such…

Social and Information Networks · Computer Science 2011-10-28 Oussama Allali , Lionel Tabourier , Clémence Magnien , Matthieu Latapy

The Axelrod model is a spatial stochastic model for the dynamics of cultures which, similarly to the voter model, includes social influence, but differs from the latter by also accounting for another social factor called homophily, the…

Probability · Mathematics 2011-07-25 Nicolas Lanchier , Jason Schweinsberg

In this paper we develop a novel mathematical formalism for the modeling of neural information networks endowed with additional structure in the form of assignments of resources, either computational or metabolic or informational. The…

Logic in Computer Science · Computer Science 2024-09-11 Yuri Manin , Matilde Marcolli