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Many of the mathematical frameworks describing natural selection are equivalent to Bayes Theorem, also known as Bayesian updating. By definition, a process of Bayesian Inference is one which involves a Bayesian update, so we may conclude…

综合物理 · 物理学 2016-06-28 John O. Campbell

The Darwinian paradigm of biological evolution is based on the separability of the variation and selection processes. As a result, the population thinking had always been an integral part of the Darwinian approach. I propose an alternative…

其他定量生物学 · 定量生物学 2007-05-23 Vasily Ogryzko

The Darwinian nature of Wojciech Zurek's theory of Quantum Darwinism is evaluated against the criteria of a Darwinian process as understood within Universal Darwinism. The characteristics of a Darwinian process are developed including the…

综合物理 · 物理学 2010-01-06 John Campbell

We study the behavior of Quantum Darwinism (Zurek, [8]) within the iterative, random unitary operations qubit-model of pure decoherence (Novotny et al, [6]). We conclude that Quantum Darwinism, which describes the quantum mechanical…

量子物理 · 物理学 2015-10-09 Nenad Balaneskovic

Darwin's theory of evolution is considered to be one of the greatest scientific gems in modern science. It not only gives us a description of how living things evolve, but also shows how a population evolves through time and also, why only…

机器学习 · 计算机科学 2013-12-18 Arka Bhattacharya

Bayesian methods since the time of Laplace have been understood by their practitioners as closely aligned to the scientific method. Indeed a recent champion of Bayesian methods, E. T. Jaynes, titled his textbook on the subject Probability…

综合物理 · 物理学 2010-01-05 John Campbell

We present a Hamiltonian approach for the wellknown Eigen model of the Darwin selection dynamics. Hamiltonization is carried out by means of the embedding of the population variable space, describing behavior of the system, into the space…

生物物理 · 物理学 2009-10-30 A. V. Shapovalov , E. V. Evdokimov

The theory of evolution by natural selection cannot be used to evaluate the truth value of the following proposition: Through evolution, there exists at least one species that can adapt to any one given environment. To address this issue,…

生物物理 · 物理学 2022-08-17 Kai Xu

Here we postulate three laws which form a mathematical framework to capture the essence of Darwinian evolutionary dynamics. The second law is most quantitative and is explicitly expressed by a unique form of stochastic differential…

定量方法 · 定量生物学 2007-05-23 P. Ao

Quantum Darwinism describes the proliferation, in the environment, of multiple records of selected states of a quantum system. It explains how the fragility of a state of a single quantum system can lead to the classical robustness of…

量子物理 · 物理学 2009-11-13 Wojciech Hubert Zurek

In recent years, studies in epigenetic inheritance in biological systems as well as studies on evolution in non-biological systems e.g., machine learning and robotics, have reopened the discussion of non-Darwinian methods of evolutionary…

适应与自组织系统 · 物理学 2023-05-02 Kristoffer Reinholt Thomsen , Steen Rasmussen

Using the fact that any linear representation of a group can be embedded into permutations, we propose a constructive description of quantum behavior that provides, in particular, a natural explanation of the appearance of complex numbers…

量子物理 · 物理学 2016-03-24 Vladimir V. Kornyak

In the present article the recent works to formulate laws in Darwinian evolutionary dynamics are discussed. Although there is a strong consensus that general laws in biology may exist, opinions opposing such suggestion are abundant. Based…

种群与进化 · 定量生物学 2016-09-08 P Ao

Computer modelling for evolutionary systems consists in: 1) to store in the memory the individual features of each member of a large population; and 2) to update the whole system repeatedly, as time goes by, according to some prescribed…

统计力学 · 物理学 2007-05-23 Paulo Murilo Castro de Oliveira

In this paper, we discuss the fitness landscape evolution of permanent replicator systems using a hypothesis that the specific time of evolutionary adaptation of the system parameters is much slower than the time of internal evolutionary…

种群与进化 · 定量生物学 2019-11-11 Sergei Drozhzhin , Tatiana Yakushkina , Alexander Bratus

Under the assumption that every material object can ultimately be described by quantum theory, we ask how a probe system evolves in a device prepared and kept in a superposition state of values of its classical parameter. We find that,…

量子物理 · 物理学 2020-03-05 Asaph Ho , Valerio Scarani

According to the so-called ``Quantum Darwinist'' approach, the emergence of ``classical islands'' from a quantum background is assumed to obey a (selection) principle of maximal information. We illustrate this idea by considering the…

量子物理 · 物理学 2009-06-16 Thomas Durt

In complex systems, the interplay between nonlinear and stochastic dynamics, e.g., J. Monod's necessity and chance, gives rise to an evolutionary process in Darwinian sense, in terms of discrete jumps among attractors, with punctuated…

适应与自组织系统 · 物理学 2013-03-18 Hong Qian

We present numerical results based on a simplified ecological system in evolution, showing features of extinction similar to that claimed for the biosystem on Earth. In the model each species consists of a population in interaction with the…

adap-org · 物理学 2009-10-28 Guillermo Abramson

Quantum Darwinism explains the emergence of classical reality from the underlying quantum reality by the fact that a quantum system is observed indirectly, by looking at parts of its environment, so that only specific information about the…

量子物理 · 物理学 2015-08-28 Fernando G. S. L. Brandao , Marco Piani , Pawel Horodecki
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