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Bayesian integral functional measure of entropy-uncertainty (EF) on trajectories of Markov multi-dimensional diffusion process is cutting off by interactive impulses (controls). Each cutoff minimax of EF superimposes and entangles…

适应与自组织系统 · 物理学 2014-10-03 Vladimir S. Lerner

The impulses, cutting entropy functional (EF) measure on trajectories Markov diffusion process, integrate information path functional (IPF) composing discrete information Bits extracted from observing random process. Each cut brings memory…

适应与自组织系统 · 物理学 2016-02-02 Vladimir S. Lerner

Interacting random field of probabilities links Kolmogorov law 0-1 and Bayesian probabilities observing Markov diffusion process under Yes-No actions of random impulse. These objective probabilities measure virtual probing impulses…

适应与自组织系统 · 物理学 2017-09-08 Vladimir S. Lerner

Finding observing path creating its observer is important problem in physics and information science. In observing processes, each observation is act changing the observing process that generates interactive observation. Each interaction is…

适应与自组织系统 · 物理学 2020-07-09 Vladimir S. Lerner

What is information originating in observation? Until now it has no scientifically conclusive definition. Information is memorized entropy cutting in random observations which processing interactions. Randomness of various interactive…

适应与自组织系统 · 物理学 2016-05-26 Vladimir S. Lerner

The aim is formal principles of origin information and information process creating information observer self-creating information in interactive observations. The interactive phenomenon creates Yes-No actions of information Bits in its…

适应与自组织系统 · 物理学 2019-10-08 Vladimir S. Lerner

The approach defines information process from probabilistic observation, emerging microprocess,qubit, encoding bits, evolving macroprocess, and extends to Observer information self-organization, cognition, intelligence and understanding…

适应与自组织系统 · 物理学 2018-04-20 Vladimir S. Lerner

We extend the principles of information thermodynamics to study energy and information exchanges between coupled systems composed of one part undergoing a Markov jump process and another underdamped diffusion. We derive integral fluctuation…

统计力学 · 物理学 2024-12-05 Ashwin Gopal , Nahuel Freitas , Massimiliano Esposito

Part 1 has studied the conversion of observed random process with its hidden information to related dynamic process, applying entropy functional measure (EF) of the random process and path functional information measure (IPF) of the dynamic…

适应与自组织系统 · 物理学 2013-08-20 Vladimir S. Lerner

The introduced entropy functional's (EF) information measure of random process integrates multiple information contributions along the process trajectories, evaluating both the states' and between states' bound information connections. This…

适应与自组织系统 · 物理学 2014-06-04 Vladimir S. Lerner

Fluctuations in biochemical networks, e.g., in a living cell, have a complex origin that precludes a description of such systems in terms of bipartite or multipartite processes, as is usually done in the framework of stochastic and/or…

统计力学 · 物理学 2020-01-29 R. Chétrite , M. L. Rosinberg , T. Sagawa , G. Tarjus

This presentation's Part 3 studies the evolutionary information processes and regularities of evolution dynamics, evaluated by an entropy functional (EF) of a random field (modeled by a diffusion information process) and an informational…

适应与自组织系统 · 物理学 2012-08-17 Vladimir S. Lerner

Memory effects in non-Markovian dynamics are often diagnosed either via quantum-correlation revivals or via non-monotonic classical information measures, yet a unified minimal framework comparing their ``backflow phases'' is still lacking.…

量子物理 · 物理学 2026-01-28 Koichi Nakagawa

This thesis investigates the interactions of different degrees of freedom of one joint system within the theory of stochastic thermodynamics. First, a comprehensive introduction to the subjects of stochastic processes, information theory…

统计力学 · 物理学 2020-07-31 Jannik Ehrich

We consider a hidden Markov model with multiple observation processes, one of which is chosen at each point in time by a policy---a deterministic function of the information state---and attempt to determine which policy minimises the…

概率论 · 数学 2015-03-17 James Y. Zhao

A stochastic nonlinear dynamical system generates information, as measured by its entropy rate. Some---the ephemeral information---is dissipated and some---the bound information---is actively stored and so affects future behavior. We derive…

统计力学 · 物理学 2015-06-19 Sarah Marzen , James P. Crutchfield

Up to now both information and its connection to reality have not scientifically conclusive definitions neither implicit origin. They emerge in observing multiple impulses interactive yes-no actions modeling information Bits. The observed…

适应与自组织系统 · 物理学 2020-07-17 Vladimir S. Lerner

We explore the dynamics of information systems. We show that the driving force for information dynamics is determined by both the information landscape and information flux which determines the equilibrium time reversible and the…

统计力学 · 物理学 2018-02-14 Qian Zeng , Jin Wang

The information shared among observables representing processes of interest is traditionally evaluated in terms of macroscale measures characterizing aggregate properties of the underlying processes and their interactions. Traditional…

信息论 · 计算机科学 2018-01-31 Rui A. P. Perdigão

The advantages of quantum information processing are in many cases obtained as consequences of quantum interactions, especially for computational tasks where two-qubit interactions are essential. In this work, we establish the framework of…

量子物理 · 物理学 2019-09-11 Sudipto Singha Roy , Joonwoo Bae
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