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The dynamics of collaboration networks of firms follow a life-cycle of growth and decline. That does not imply they also become less resilient. Instead, declining collaboration networks may still have the ability to mitigate shocks from…

Physics and Society · Physics 2021-02-24 Frank Schweitzer , Giona Casiraghi , Mario V. Tomasello , David Garcia

Petri-nets are a simple formalism for modeling concurrent computation. Recently, they have emerged as a powerful tool for the modeling and analysis of biochemical reaction networks, bridging the gap between purely qualitative and…

Computational Engineering, Finance, and Science · Computer Science 2013-04-11 Faten Nabli , François Fages , Thierry Martinez , Sylvain Soliman

Collectives form non-equilibrium social structures characterised by a volatile dynamics. Individuals join or leave. Social relations change quickly. Therefore, differently from engineered or ecological systems, a resilient reference state…

Physics and Society · Physics 2022-10-19 Frank Schweitzer , Christian Zingg , Giona Casiraghi

In this paper some reflections on the concept of transition are presented: groupoids are introduced as models for the construction of a ``generalized logic'' whose basic statements involve pairs of propositions which can be conditioned. In…

Mathematical Physics · Physics 2023-08-02 Florio M. Ciaglia aand Fabio Di Cosmo

In a range of scientific coauthorship networks, transitions emerge in degree distributions, correlations between degrees and local clustering coefficients, etc. The existence of those transitions could be regarded as a result of the…

Physics and Society · Physics 2018-06-19 Zheng Xie , Enming Dong , Dongyun Yi , Ouyang Zhenzheng , Jianping Li

Complex networks are ubiquitous: a cell, the human brain, a group of people and the Internet are all examples of interconnected many-body systems characterized by macroscopic properties that cannot be trivially deduced from those of their…

The principles on which can be based computer model of process of training are formulated. Are considered: 1) the unicomponent model, which is recognizing that educational information consists of equal elements; 2) the multicomponent model,…

Other Computer Science · Computer Science 2013-12-12 R. V. Mayer

The present article introduces a reference framework for discussing resilience of computational systems. Rather than a property that may or may not be exhibited by a system, resilience is interpreted here as the emerging result of a dynamic…

Systems and Control · Computer Science 2015-04-13 Vincenzo De Florio

Classical Clifford theory studies the decomposition of simple $G$-modules into simple $H$-modules for some normal subgroup $H \triangleleft G$. In this paper we deal with chains of normal subgroups $1 \triangleleft G_1 \triangleleft \cdots…

Representation Theory · Mathematics 2017-06-13 Frederik Caenepeel , Fred Van Oystaeyen

The class of random-cluster models is a unification of a variety of stochastic processes of significance for probability and statistical physics, including percolation, Ising, and Potts models; in addition, their study has impact on the…

Probability · Mathematics 2007-05-23 Geoffrey Grimmett

Dynamical networks are important models for the behaviour of complex systems, modelling physical, biological and societal systems, including the brain, food webs, epidemic disease in populations, power grids and many other. Such dynamical…

Chaotic Dynamics · Physics 2017-03-27 Deniz Eroglu , Jeroen Lamb , Tiago Pereira

We explore the overlap of two nationally-recognized learning outcomes for physics lab courses, namely, the ability to model experimental systems and the ability to troubleshoot a malfunctioning apparatus. Modeling and troubleshooting are…

Concurrent programming is used in all large and complex computer systems. However, concurrency errors and system failures (ex: crashes and deadlocks) are common. We find that Petri nets can be used to model concurrent systems and find and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-04 Marshall Rawson , Michael Rawson

Trace properties, which are sets of execution traces, are often used to analyze systems, but their expressiveness is limited. Clarkson and Schneider defined hyperproperties as a generalization of trace properties to sets of sets of traces.…

Logic in Computer Science · Computer Science 2023-10-03 Bernd Finkbeiner , Ernst-Rüdiger Olderog

Circular (or cyclic) proofs have received increasing attention in recent years, and have been proposed as an alternative setting for studying (co)inductive reasoning. In particular, now several type systems based on circular reasoning have…

Logic in Computer Science · Computer Science 2025-09-01 Gianluca Curzi , Anupam Das

Nested Petri nets have been applied for modeling interaction protocols, mobility, adaptive systems and interorganizational workflows. However, few results have been reported on the use of automated tools for analyzing the behavior of these…

Logic in Computer Science · Computer Science 2014-04-01 Mirtha Lina Fernández Venero , Flávio Soares Corrêa da Silva

Reliable functioning of infrastructure networks is essential for our modern society. Cascading failures are the cause of most large-scale network outages. Although cascading failures often exhibit dynamical transients, the modeling of…

Adaptation and Self-Organizing Systems · Physics 2020-08-18 Benjamin Schäfer , Dirk Witthaut , Marc Timme , Vito Latora

Resilience denotes the capacity of a system to withstand shocks and its ability to recover from them. We develop a framework to quantify the resilience of highly volatile, non-equilibrium social organizations, such as collectives or…

Social and Information Networks · Computer Science 2023-03-13 Frank Schweitzer , Georges Andres , Giona Casiraghi , Christoph Gote , Ramona Roller , Ingo Scholtes , Giacomo Vaccario , Christian Zingg

Contagion processes have been proven to fundamentally depend on the structural properties of the interaction networks conveying them. Many real networked systems are characterized by clustered substructures representing either collections…

Physics and Society · Physics 2021-06-01 Giulio Burgio , Alex Arenas , Sergio Gómez , Joan T. Matamalas

We present an approach for flux analysis in process algebra models of biological systems. We perceive flux as the flow of resources in stochastic simulations. We resort to an established correspondence between event structures, a broadly…

Computational Engineering, Finance, and Science · Computer Science 2010-02-23 Ozan Kahramanoğullari