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A novel Markovian network evolution model is introduced and analysed by means of information theory. It will be proved that the model, called Network Evolution Chain, is a stationary and ergodic stochastic process. Therefore, the Asymptotic…

Information Theory · Computer Science 2022-01-21 Amirmohammad Farzaneh , Justin P. Coon

In recent advances in finite-time thermodynamics, optimization of entropy production required for finite-time information processing is an important issue. In this work, we consider finite-time feedback processes in classical discrete…

Statistical Mechanics · Physics 2025-03-18 Rihito Nagase , Takahiro Sagawa

Signal processing and Information theory are two disparate fields used for characterizing signals for various scientific and engineering applications. Spectral/Fourier analysis, a technique employed in signal processing, helps estimation of…

Information Theory · Computer Science 2023-09-22 Aditi Kathpalia , Nithin Nagaraj

The statistical properties of physical systems in thermal equilibrium are blatantly different from their far-from-equilibrium counterparts. In the latter, fluctuations often dominate the dynamics and might cluster in ordered patterns in the…

This paper addresses some general questions of quantum information theory arising from the transmission of quantum entanglement through (possibly noisy) quantum channels. A pure entangled state is prepared of a pair of systems $R$ and $Q$,…

Quantum Physics · Physics 2007-05-23 Benjamin Schumacher

One of the crucial steps in scientific studies is to specify dependent relationships among factors in a system of interest. Given little knowledge of a system, can we characterize the underlying dependent relationships through observation…

Information Theory · Computer Science 2012-12-24 Shohei Hidaka

In order to survive, reproduce and (in multicellular organisms) differentiate, cells must control the concentrations of the myriad different proteins that are encoded in the genome. The precision of this control is limited by the inevitable…

Molecular Networks · Quantitative Biology 2013-08-01 Gasper Tkacik , Aleksandra M. Walczak , William Bialek

The development of multicellular organisms entails a deep connection between time-dependent biochemical processes taking place at the subcellular level, and the resulting macroscopic phenotypes that arise in populations of up to trillions…

Biological Physics · Physics 2025-10-07 Ben Ansbacher , Malachy Guzman , Jordi Garcia-Ojalvo , Arjendu K Pattanayak

Living cell signaling systems include multistep biochemical signaling reaction cascades (BSCs) comprising modifications of molecular signaling proteins. Substantial data on BSCs have been accumulated in the field of molecular biology and…

Molecular Networks · Quantitative Biology 2015-12-17 Tatsuaki Tsuruyama

We generalize stochastic thermodynamics to include information reservoirs. Such information reservoirs, which can be modeled as a sequence of bits, modify the second law. For example, work extraction from a system in contact with a single…

Statistical Mechanics · Physics 2014-11-17 Andre C. Barato , Udo Seifert

Information theory is gaining popularity as a tool to characterize performance of biological systems. However, information is commonly quantified without reference to whether or how a system could extract and use it; as a result,…

Molecular Networks · Quantitative Biology 2016-11-28 Mikhail Tikhonov , Shawn C. Little , Thomas Gregor

We deploy Shannon's information entropy to the distribution of branching fractions in a particle decay. This serves to quantify how important a given new reported decay channel is, from the point of view of the information that it adds to…

Living entities in a group communicate and transfer information to one another for a variety of reasons. It might be for foraging food, migration, or escaping threats and obstacles, etc. They do so by interacting with each other and also…

Biological Physics · Physics 2024-04-03 Md. Samsuzzaman , Mohammad Hasanuzzaman , Ahmed Sayeed , Arnab Saha

There is currently growing interest in modeling the information diffusion on social networks across multi-disciplines. The majority of the corresponding research has focused on information diffusion independently, ignoring the network…

Physics and Society · Physics 2020-02-28 Chuang Liu , Nan Zhou , Xiu-Xiu Zhan , Gui-Quan Sun , Zi-Ke Zhang

In non-viral gene delivery, the variance of transgenic expression stems from the low number of plasmids successfully transferred. Here, we experimentally determine Lipofectamine- and PEI-mediated exogenous gene expression distributions from…

Quantitative Methods · Quantitative Biology 2010-02-16 Gerlinde Schwake , Simon Youssef , Jan-Timm Kuhr , Sebastian Gude , Maria Pamela David , Eduardo Mendoza , Erwin Frey , Joachim O. Rädler

Humans communicate using systems of interconnected stimuli or concepts -- from language and music to literature and science -- yet it remains unclear how, if at all, the structure of these networks supports the communication of information.…

Physics and Society · Physics 2020-03-27 Christopher W. Lynn , Lia Papadopoulos , Ari E. Kahn , Danielle S. Bassett

Transfer entropy provides a general tool for analyzing the magnitudes and directions---but not the \emph{kinds}---of information transfer in a system. We extend transfer entropy in two complementary ways. First, we distinguish…

Data Analysis, Statistics and Probability · Physics 2011-02-09 Paul L. Williams , Randall D. Beer

A central result that arose in applying information theory to the stochastic thermodynamics of nonlinear dynamical systems is the Information-Processing Second Law (IPSL): the physical entropy of the universe can decrease if compensated by…

Statistical Mechanics · Physics 2017-06-07 Alexander B. Boyd , Dibyendu Mandal , Paul M. Riechers , James P. Crutchfield

Jaynes' information theory formalism of statistical mechanics is applied to the stationary states of open, non-equilibrium systems. The key result is the construction of the probability distribution for the underlying microscopic phase…

Statistical Mechanics · Physics 2009-10-31 Roderick C. Dewar

Information dynamics is an emerging description of information processing in complex systems which describes systems in terms of intrinsic computation, identifying computational primitives of information storage and transfer. In this paper…

Statistical Mechanics · Physics 2018-10-03 Richard E. Spinney , Joseph T. Lizier , Mikhail Prokopenko
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