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In this paper, we first introduce and define several new information divergences in the space of transition matrices of finite Markov chains which measure the discrepancy between two Markov chains. These divergences offer natural…

Information Theory · Computer Science 2023-12-11 Youjia Wang , Michael C. H. Choi

In this work and the supporting Parts II [2] and III [3], we provide a rather detailed analysis of the stability and performance of asynchronous strategies for solving distributed optimization and adaptation problems over networks. We…

Systems and Control · Computer Science 2014-12-17 Xiaochuan Zhao , Ali H. Sayed

We study the distribution of traffic in networks whose users try to minimise their delays by adhering to a simple learning scheme inspired by the replicator dynamics of evolutionary game theory. The stable steady states of these dynamics…

Probability · Mathematics 2010-02-27 Panayotis Mertikopoulos , Aris L. Moustakas

Concurrent cooperative transmission for relaying purposes in mobile communication networks is relevant in current institutional systems with limited infrastructure, and and may be viewed as a potential range-extension mechanism for future…

Information Theory · Computer Science 2016-11-15 Spyridon Evangelatos , Aris L. Moustakas , Andreas Polydoros

This paper considers the relationships among meaning generation, selection, and the dynamics of discourse from a variety of perspectives ranging from information theory and biology to sociology. Following Husserl's idea of a horizon of…

Digital Libraries · Computer Science 2018-03-28 Loet Leydesdorff , Mark W. Johnson , Inga Ivanova

Random walks on networks are widely used to model stochastic processes such as search strategies, transportation problems or disease propagation. A prominent example of such process is the guiding of naive T cells by the lymph node conduits…

Social and Information Networks · Computer Science 2022-10-21 Solène Song , Malek Senoussi , Paul Escande , Paul Villoutreix

We consider the effect of noise in sparse Boolean Networks with redundant functions. We show that they always exhibit a non-zero error level, and the dynamics undergoes a phase transition from non-ergodicity to ergodicity, as a function of…

Biological Physics · Physics 2015-03-13 Tiago P. Peixoto

This article is concerned with stability analysis and stabilization of randomly switched systems under a class of switching signals. The switching signal is modeled as a jump stochastic (not necessarily Markovian) process independent of the…

Optimization and Control · Mathematics 2011-10-04 Debasish Chatterjee , Daniel Liberzon

This paper focuses on the broadcast of information on robot networks with stochastic network interconnection topologies. Problematic communication networks are almost unavoidable in areas where we wish to deploy multi-robotic systems,…

Robotics · Computer Science 2022-12-21 Thales C. Silva , Li Shen , Xi Yu , M. Ani Hsieh

How much visual information about the retinal images can be extracted from the different layers of the visual pathway?. Separate subsystems (e.g. opponent channels, spatial filters, nonlinearities of the texture sensors) have been suggested…

Neurons and Cognition · Quantitative Biology 2020-05-26 Jesus Malo

Network service providers and customers are often concerned with aggregate performance measures that span multiple network paths. Unfortunately, forming such network-wide measures can be difficult, due to the issues of scale involved. In…

Networking and Internet Architecture · Computer Science 2011-11-09 David B. Chua , Eric D. Kolaczyk , Mark Crovella

A cell has the ability to convert an environmental change into the expression of genetic information through a chain of intracellular signal transduction reactions. Here, we aimed to develop a method for quantifying this signal…

Molecular Networks · Quantitative Biology 2017-03-09 Tatsuaki Tsuruyama

Stochastic point processes with refractoriness appear frequently in the quantitative analysis of physical and biological systems, such as the generation of action potentials by nerve cells, the release and reuptake of vesicles at a synapse,…

Probability · Mathematics 2015-07-28 Moritz Deger , Moritz Helias , Stefano Cardanobile , Fatihcan M. Atay , Stefan Rotter

Biochemical signalling cascades transduce extracellular stimuli into cellular responses through sequences of discrete, node-to-node activations. While signal fidelity depends critically on local interaction kinetics, the mechanisms…

Dynamical Systems · Mathematics 2026-04-20 Chathranee Jayathilaka , Mark B. Flegg

Interpreting partial information collected from systems subject to noise is a key problem across scientific disciplines. Theoretical frameworks often focus on the dynamics of variables that result from coarse-graining the internal states of…

Statistical Mechanics · Physics 2022-08-18 Pedro E. Harunari , Annwesha Dutta , Matteo Polettini , Édgar Roldán

Cells receive signaling molecules by receptors and relay information via sensory networks so that they can respond properly depending on the type of signal. Recent studies have shown that cells can extract multi-dimensional information from…

Biological Physics · Physics 2018-02-14 Yoshihiko Hasegawa

To better understand the inner workings of information spreading, network researchers often use simple models to capture the spreading dynamics. But most models only highlight the effect of local interactions on the global spreading of a…

Physics and Society · Physics 2014-01-29 Atieh Mirshahvalad , Alcides Viamontes , Ludvig Lizana , Martin Rosvall

Biological systems leverage top-down feedback for visual processing, yet most artificial vision models succeed in image classification using purely feedforward or recurrent architectures, calling into question the functional significance of…

Neurons and Cognition · Quantitative Biology 2025-08-12 Antonino Greco , Marco D'Alessandro , Karl J. Friston , Giovanni Pezzulo , Markus Siegel

We use observed transmission line outage data to make a Markov influence graph that describes the probabilities of transitions between generations of cascading line outages, where each generation of a cascade consists of a single line…

Physics and Society · Physics 2023-03-17 Kai Zhou , Ian Dobson , Zhaoyu Wang , Alexander Roitershtein , Arka P. Ghosh

This paper develops a dual-channel framework for analyzing technology diffusion that integrates spatial decay mechanisms from continuous functional analysis with network contagion dynamics from spectral graph theory. Building on our…

Econometrics · Economics 2025-10-30 Tatsuru Kikuchi