Results for 'stochastic dynamics'

990 found
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  1.  17
    Stochastic dynamic programming with factored representations.Craig Boutilier, Richard Dearden & Moisés Goldszmidt - 2000 - Artificial Intelligence 121 (1-2):49-107.
  2.  16
    Stochastic dynamics and dominant protein folding pathways.P. Faccioli, M. Sega, F. Pederiva & H. Orland - 2008 - Philosophical Magazine 88 (33-35):4093-4099.
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  3. A Conservative Solution to the Stochastic Dynamical Reduction Problem: Case of Spin-z Measurement of a Spin-1/2 Particle.T. Halabi - 2013 - Foundations of Physics 43 (10):1252-1256.
    Stochastic dynamical reduction for the case of spin-z measurement of a spin-1/2 particle describes a random walk on the spin-z axis. The measurement’s result depends on which of the two points: spin-z=±ħ/2 is reached first. Born’s rule is recovered as long as the expected step size in spin-z is independent of proximity to endpoints. Here, we address the questions raised by this description: (1) When is collapse triggered, and what triggers it? (2) Why is the expected step size in (...)
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  4.  37
    Limits to stochastic dynamic programming.Ruth H. Mace & William J. Sutherland - 1991 - Behavioral and Brain Sciences 14 (1):101-101.
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  5.  25
    Relaxation to Quantum Equilibrium and the Born Rule in Nelson’s Stochastic Dynamics.Vincent Hardel, Paul-Antoine Hervieux & Giovanni Manfredi - 2023 - Foundations of Physics 53 (6):1-28.
    Nelson’s stochastic quantum mechanics provides an ideal arena to test how the Born rule is established from an initial probability distribution that is not identical to the square modulus of the wavefunction. Here, we investigate numerically this problem for three relevant cases: a double-slit interference setup, a harmonic oscillator, and a quantum particle in a uniform gravitational field. For all cases, Nelson’s stochastic trajectories are initially localized at a definite position, thereby violating the Born rule. For the double (...)
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  6.  93
    Dynamic stochastic dominance in bandit decision problems.Thierry Magnac & Jean-Marc Robin - 1999 - Theory and Decision 47 (3):267-295.
    The aim of this paper is to study the monotonicity properties with respect to the probability distribution of the state processes, of optimal decisions in bandit decision problems. Orderings of dynamic discrete projects are provided by extending the notion of stochastic dominance to stochastic processes.
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  7. Dynamic and stochastic systems as a framework for metaphysics and the philosophy of science.Christian List & Marcus Pivato - 2019 - Synthese 198 (3):2551-2612.
    Scientists often think of the world as a dynamical system, a stochastic process, or a generalization of such a system. Prominent examples of systems are the system of planets orbiting the sun or any other classical mechanical system, a hydrogen atom or any other quantum–mechanical system, and the earth’s atmosphere or any other statistical mechanical system. We introduce a general and unified framework for describing such systems and show how it can be used to examine some familiar philosophical questions, (...)
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  8.  87
    Stochastic Stability and Disagreements between Dynamics.Aydin Mohseni - 2019 - Philosophy of Science 86 (3):497-521.
    The replicator dynamics and Moran process are the main deterministic and stochastic models of evolutionary game theory. The models are connected by a mean-field relationship—the former describes the expected behavior of the latter. However, there are conditions under which their predictions diverge. I demonstrate that the divergence between their predictions is a function of standard techniques used in their analysis and of differences in the idealizations involved in each. My analysis reveals problems for stochastic stability analysis in (...)
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  9.  60
    Dynamics of a Nonautonomous Stochastic SIS Epidemic Model with Double Epidemic Hypothesis.Haokun Qi, Lidan Liu & Xinzhu Meng - 2017 - Complexity:1-14.
    We investigate the dynamics of a nonautonomous stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis. By constructing suitable stochastic Lyapunov functions and using Has’minskii theory, we prove that there exists at least one nontrivial positive periodic solution of the system. Moreover, the sufficient conditions for extinction of the disease are obtained by using the theory of nonautonomous stochastic differential equations. Finally, numerical simulations are utilized to illustrate our theoretical analysis.
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  10.  35
    Dynamical Analysis of a Class of Prey-Predator Model with Beddington-DeAngelis Functional Response, Stochastic Perturbation, and Impulsive Toxicant Input.Feifei Bian, Wencai Zhao, Yi Song & Rong Yue - 2017 - Complexity:1-18.
    A stochastic prey-predator system in a polluted environment with Beddington-DeAngelis functional response is proposed and analyzed. Firstly, for the system with white noise perturbation, by analyzing the limit system, the existence of boundary periodic solutions and positive periodic solutions is proved and the sufficient conditions for the existence of boundary periodic solutions and positive periodic solutions are derived. And then for the stochastic system, by introducing Markov regime switching, the sufficient conditions for extinction or persistence of such system (...)
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  11.  25
    Dynamical Analysis of a Stochastic Multispecies Turbidostat Model.Yu Mu, Zuxiong Li, Huili Xiang & Hailing Wang - 2019 - Complexity 2019:1-18.
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  12.  29
    Dynamical Analysis of Two-Microorganism and Single Nutrient Stochastic Chemostat Model with Monod-Haldane Response Function.Mengnan Chi & Wencai Zhao - 2019 - Complexity 2019:1-13.
    In this paper, we formulate and investigate a two-microorganism and single nutrient chemostat model with Monod-Haldane response function and random perturbation. First, for the corresponding deterministic system, we introduce the conditions of the stability of the equilibrium points. Then, using Lyapunov function and Itô’s formula, we investigate the existence and uniqueness of the global positive solution of the stochastic chemostat model. Furthermore, we explore and obtain the criterions of the extinction and the permanence for the stochastic model. Finally, (...)
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  13.  52
    A stochastic interpretation of propositional dynamic logic: expressivity.Ernst-Erich Doberkat - 2012 - Journal of Symbolic Logic 77 (2):687-716.
    We propose a probabilistic interpretation of Propositional Dynamic Logic (PDL). We show that logical and behavioral equivalence are equivalent over general measurable spaces. This is done first for the fragment of straight line programs and then extended to cater for the nondeterministic nature of choice and iteration, expanded to PDL as a whole. Bisimilarity is also discussed and shown to be equivalent to logical and behavioral equivalence, provided the base spaces are Polish spaces. We adapt techniques from coalgebraic stochastic (...)
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  14.  48
    Dynamical analysis of a delayed singular prey–predator economic model with stochastic fluctuations.Yue Zhang & Qingling Zhang - 2014 - Complexity 19 (5):23-29.
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  15. Stochastic evolutionary dynamics: Drift versus draft.Robert A. Skipper - 2006 - Philosophy of Science 73 (5):655-665.
    In a small handful of papers in theoretical population genetics, John Gillespie (2000a, 2000b, 2001) argues that a new stochastic process he calls "genetic draft" is evolutionarily more significant than genetic drift. This case study of chance in evolution explores Gillespie's proposed stochastic evolutionary force and sketches the implications of Gillespie's argument for philosophers' explorations of genetic drift.
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  16.  44
    Dynamics and Optimal Harvesting Control for a Stochastic One-Predator-Two-Prey Time Delay System with Jumps.Tingting Ma, Xinzhu Meng & Zhengbo Chang - 2019 - Complexity 2019:1-19.
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  17.  38
    Relativistic dynamics of stochastic particles.Khavtgain Namsrai - 1980 - Foundations of Physics 10 (3-4):353-361.
    Particle motion in stochastic space, i.e., space whose coordinates consist of small, regular stochastic parts, is considered. A free particle in this space resembles a Brownian particle the motion of which is characterized by a dispersionD dependent on the universal length l. It is shown that in the first approximation in the parameter l the particle motion in an external force field is described by equations coincident in form with equations of stochastic mechanics due to Nelson, Kershow, (...)
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  18.  17
    Complex Dynamics of a Stochastic Two-Patch Predator-Prey Population Model with Ratio-Dependent Functional Responses.Rong Liu & Guirong Liu - 2021 - Complexity 2021:1-31.
    This paper investigates a stochastic two-patch predator-prey model with ratio-dependent functional responses. First, the existence of a unique global positive solution is proved via the stochastic comparison theorem. Then, two different methods are used to discuss the long-time properties of the solutions pathwise. Next, sufficient conditions for extinction and persistence in mean are obtained. Moreover, stochastic persistence of the model is discussed. Furthermore, sufficient conditions for the existence of an ergodic stationary distribution are derived by a suitable (...)
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  19.  37
    A Dynamic, Stochastic, Computational Model of Preference Reversal Phenomena.Joseph G. Johnson & Jerome R. Busemeyer - 2005 - Psychological Review 112 (4):841-861.
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  20.  8
    Stochastic methods and computer techniques in quantum dynamics.Heinrich Mitter & Ludwig Pittner (eds.) - 1984 - New York: Springer Verlag.
  21.  18
    Stochastic Time‐Series Analyses Highlight the Day‐To‐Day Dynamics of Lexical Frequencies.Cameron Holdaway & Steven T. Piantadosi - 2022 - Cognitive Science 46 (12):e13215.
    Standard models in quantitative linguistics assume that word usage follows a fixed frequency distribution, often Zipf's law or a close relative. This view, however, does not capture the near daily variations in topics of conversation, nor the short-term dynamics of language change. In order to understand the dynamics of human language use, we present a corpus of daily word frequency variation scraped from online news sources every 20 min for more than 2 years. We construct a simple time-varying (...)
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  22. The Ito Formalism and Stochastic Modifications of Quantum Dynamics.S. Sarkar - forthcoming - Boston Studies in the Philosophy of Science.
  23.  16
    Stochasticity, Nonlinear Value Functions, and Update Rules in Learning Aesthetic Biases.Norberto M. Grzywacz - 2021 - Frontiers in Human Neuroscience 15:639081.
    A theoretical framework for the reinforcement learning of aesthetic biases was recently proposed based on brain circuitries revealed by neuroimaging. A model grounded on that framework accounted for interesting features of human aesthetic biases. These features included individuality, cultural predispositions, stochastic dynamics of learning and aesthetic biases, and the peak-shift effect. However, despite the success in explaining these features, a potential weakness was the linearity of the value function used to predict reward. This linearity meant that the learning (...)
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  24.  85
    A dynamic and stochastic theory of choice, response time, and confidence.Timothy J. Pleskac & Jerome Busemeyer - 2007 - In McNamara D. S. & Trafton J. G., Proceedings of the 29th Annual Cognitive Science Society. Cognitive Science Society. pp. 563--568.
  25.  23
    Modeling and Dynamic Analysis in a Hybrid Stochastic Bioeconomic System with Double Time Delays and Lévy Jumps.Chao Liu, Longfei Yu & Luping Wang - 2018 - Complexity 2018:1-23.
    A double delayed hybrid stochastic prey-predator bioeconomic system with Lévy jumps is established and analyzed, where commercial harvesting on prey and environmental stochasticity on population dynamics are considered. Two discrete time delays are utilized to represent the maturation delay of prey and gestation delay of predator, respectively. For a deterministic system, positivity of solutions and uniform persistence of system are discussed. Some sufficient conditions associated with double time delays are derived to discuss asymptotic stability of interior equilibrium. For (...)
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  26.  17
    Dynamical phase transitions in one-dimensional stochastic cellular automata.Krastan B. Blagoev & Luc T. Wille - 2004 - Philosophical Magazine 84 (8):835-841.
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  27.  34
    Complexity Dynamic Character Analysis of Retailers Based on the Share of Stochastic Demand and Service.Junhai Ma, Weiya Di & Hao Ren - 2017 - Complexity:1-12.
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  28.  16
    Dynamic Stochastic Optimization of Emergent Blood Collection and Distribution from Supply Chain Perspective.Xiangyu Jin, Huajun Tang & Yuxin Huang - 2021 - Complexity 2021:1-15.
    In response to emergencies, it is critical to investigate how to deliver emergency supplies efficiently and securely to disaster-affected areas and people. There is no doubt that blood is deemed one of the vital relief supplies, and ensuring smooth blood delivery may substantially alleviate subsequent impacts caused by the disaster. Taking red blood cell products as the research object, this work proposes a four-echelon blood supply chain model. Specifically, it includes blood donors, blood donation houses, blood centres, and hospitals. Furthermore, (...)
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  29.  54
    Prequantum Classical Statistical Field Theory: Schrödinger Dynamics of Entangled Systems as a Classical Stochastic Process. [REVIEW]Andrei Khrennikov - 2011 - Foundations of Physics 41 (3):317-329.
    The idea that quantum randomness can be reduced to randomness of classical fields (fluctuating at time and space scales which are essentially finer than scales approachable in modern quantum experiments) is rather old. Various models have been proposed, e.g., stochastic electrodynamics or the semiclassical model. Recently a new model, so called prequantum classical statistical field theory (PCSFT), was developed. By this model a “quantum system” is just a label for (so to say “prequantum”) classical random field. Quantum averages can (...)
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  30.  53
    Stochasticity and Bell-type quantum field theory.Andrea Oldofredi - 2020 - Synthese 197 (2):731-750.
    This paper critically discusses an objection proposed by Nikolić against the naturalness of the stochastic dynamics implemented by the Bell-type quantum field theory, an extension of Bohmian mechanics able to describe the phenomena of particles creation and annihilation. Here I present: Nikolić’s ideas for a pilot-wave theory accounting for QFT phenomenology evaluating the robustness of his criticism, Bell’s original proposal for a Bohmian QFT with a particle ontology and the mentioned Bell-type QFT. I will argue that although Bell’s (...)
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  31.  77
    Stochastic Evolution of Rules for Playing Finite Normal Form Games.Fabrizio Germano - 2007 - Theory and Decision 62 (4):311-333.
    The evolution of boundedly rational rules for playing normal form games is studied within stationary environments of stochastically changing games. Rules are viewed as algorithms prescribing strategies for the different normal form games that arise. It is shown that many of the “folk results” of evolutionary game theory, typically obtained with a fixed game and fixed strategies, carry over to the present environments. The results are also related to some recent experiments on rules and games.
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  32.  45
    Modeling Chickenpox Dynamics with a Discrete Time Bayesian Stochastic Compartmental Model.A. Corberán-Vallet, F. J. Santonja, M. Jornet-Sanz & R. -J. Villanueva - 2018 - Complexity 2018:1-9.
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  33.  26
    (1 other version)Elements of Physical Reality, Nonlocality and Stochasticity in Relativistic Dynamical Reduction Models.GianCarlo Ghirardi & Philip Pearle - 1990 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1990:35 - 47.
    The problem of getting a relativistic generalization of the CSL dynamical reduction model, which has been presented in part I, is discussed. In so doing we have the opportunity to introduce the idea of a stochastically invariant theory. The theoretical model we present, that satisfies this kind of invariance requirement, offers us the possibility to reconsider, from a new point of view, some conceptually relevant issues such as nonlocality, the legitimacy of attributing elements of physical reality to physical systems and (...)
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  34.  14
    A Dynamic Variance-Based Triggering Scheme for Distributed Cooperative State Estimation over Wireless Sensor Networks.Hongbo Zhu & Jiabao Ding - 2021 - Complexity 2021:1-12.
    Wireless sensor networks have been spawning many new applications where cooperative state estimation is essential. In this paper, the problem of performing cooperative state estimation for a discrete linear stochastic dynamical system over wireless sensor networks with a limitation on the sampling and communication rate is considered, where distributed sensors cooperatively sense a linear dynamical process and transmit observations each other via a common wireless channel. Firstly, a novel dynamic variance-based triggering scheme is designed to schedule the sampling of (...)
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  35.  20
    Probability of Disease Extinction or Outbreak in a Stochastic Epidemic Model for West Nile Virus Dynamics in Birds.Milliward Maliyoni - 2021 - Acta Biotheoretica 69 (2):91-116.
    Thresholds for disease extinction provide essential information for the prevention and control of diseases. In this paper, a stochastic epidemic model, a continuous-time Markov chain, for the transmission dynamics of West Nile virus in birds is developed based on the assumptions of its analogous deterministic model. The branching process is applied to derive the extinction threshold for the stochastic model and conditions for disease extinction or persistence. The probability of disease extinction computed from the branching process is (...)
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  36.  19
    Dynamic Programming and Hamilton–Jacobi–Bellman Equations on Time Scales.Yingjun Zhu & Guangyan Jia - 2020 - Complexity 2020:1-11.
    Bellman optimality principle for the stochastic dynamic system on time scales is derived, which includes the continuous time and discrete time as special cases. At the same time, the Hamilton–Jacobi–Bellman equation on time scales is obtained. Finally, an example is employed to illustrate our main results.
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  37.  32
    Coalgebraic logic for stochastic right coalgebras.Ernst-Erich Doberkat & Christoph Schubert - 2009 - Annals of Pure and Applied Logic 159 (3):268-284.
    We generalize stochastic Kripke models and Markov transition systems to stochastic right coalgebras. These are coalgebras for a functor with as an endofunctor on the category of analytic spaces, and is the subprobability functor. The modal operators are generalized through predicate liftings which are set-valued natural transformations involving the functor. Two states are equivalent iff they cannot be separated by a formula. This equivalence relation is used to construct a cospan for logical equivalent coalgebras under a separation condition (...)
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  38.  94
    Adaptive Event-Triggered Control for Complex Dynamical Network with Random Coupling Delay under Stochastic Deception Attacks.M. Mubeen Tajudeen, M. Syed Ali, Syeda Asma Kauser, Khanyaluck Subkrajang, Anuwat Jirawattanapanit & Grienggrai Rajchakit - 2022 - Complexity 2022:1-12.
    This study concentrates on adaptive event-triggered control of complex dynamical networks with unpredictable coupling delays and stochastic deception attacks. The adaptive event-triggered mechanism is used to avoid the wasting of limited bandwidth. The probability of data communicated by the network is established by statistical properties and Bernoulli stochastic variables with an uncertain occurrence probability. Stability analysis based on Lyapunov–Krasovskii functional and the stability of the closed-loop system is guaranteed. Using the LMI technique, we obtain triggered parameters. To demonstrate (...)
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  39.  9
    Post Walrasian Macroeconomics: Beyond the Dynamic Stochastic General Equilibrium Model.David Colander (ed.) - 2006 - Cambridge University Press.
    Macroeconomics is evolving in an almost dialectic fashion. The latest evolution is the development of a new synthesis that combines insights of new classical, new Keynesian and real business cycle traditions into a dynamic, stochastic general equilibrium model that serves as a foundation for thinking about macro policy. That new synthesis has opened up the door to a new antithesis, which is being driven by advances in computing power and analytic techniques. This new synthesis is coalescing around developments in (...)
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  40.  20
    Stochastically Globally Exponential Stability of Stochastic Impulsive Differential Systems with Discrete and Infinite Distributed Delays Based on Vector Lyapunov Function.Xiaoyan Liu & Quanxin Zhu - 2020 - Complexity 2020:1-16.
    This paper deals with stochastically globally exponential stability for stochastic impulsive differential systems with discrete delays and infinite distributed delays. By using vector Lyapunov function and average dwell-time condition, we investigate the unstable impulsive dynamics and stable impulsive dynamics of the suggested system, and some novel stability criteria are obtained for SIDSs with DDs and IDDs. Moreover, our results allow the discrete delay term to be coupled with the nondelay term, and the infinite distributed delay term to (...)
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  41.  23
    Entropic Mechanics: Towards a Stochastic Description of Quantum Mechanics.Vitaly Vanchurin - 2020 - Foundations of Physics 50 (1):40-53.
    We consider a stochastic process which is described by a continuous-time Markov chain on only short time-scales and constrained to conserve a number of hidden quantities on long time-scales. We assume that the transition matrix of the Markov chain is given and the conserved quantities are known to exist, but not explicitly given. To study the stochastic dynamics we propose to use the principle of stationary entropy production. Then the problem can be transformed into a variational problem (...)
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  42. On a stochastic version of a modified Nicholson-Baily model.J. Reddingius, S. A. Vries & A. J. Stam - 1982 - Acta Biotheoretica 31 (2).
    Deterministic models in population dynamics often are really approximations to stochastic models, justified by an appeal to the law of large numbers. It is proposed to call such models pseudodeterministic. Four questions are discussed in this article: (1) What errors may be made by equating deterministically predicted values to expectations? (2) When, and in what sense, may numbers be assumed to be large? (3) How large are the variances, coefficients of variations, etc., as assigned to the variables in (...)
     
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  43.  72
    Stochasticity in cultural evolution: a revolution yet to happen.Sylvain Billiard & Alexandra Alvergne - 2017 - History and Philosophy of the Life Sciences 40 (1):9.
    Over the last 40 years or so, there has been an explosion of cultural evolution research in anthropology and archaeology. In each discipline, cultural evolutionists investigate how interactions between individuals translate into group level patterns, with the aim of explaining the diachronic dynamics and diversity of cultural traits. However, while much attention has been given to deterministic processes, we contend that current evolutionary accounts of cultural change are limited because they do not adopt a systematic stochastic approach. First, (...)
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  44.  61
    Stochastic theory for classical and quantum mechanical systems.L. de la Peña & A. M. Cetto - 1975 - Foundations of Physics 5 (2):355-370.
    We formulate from first principles a theory of stochastic processes in configuration space. The fundamental equations of the theory are an equation of motion which generalizes Newton's second law and an equation which expresses the condition of conservation of matter. Two types of stochastic motion are possible, both described by the same general equations, but leading in one case to classical Brownian motion behavior and in the other to quantum mechanical behavior. The Schrödinger equation, which is derived here (...)
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  45.  76
    A Stochastic Model of Mathematics and Science.David H. Wolpert & David B. Kinney - 2024 - Foundations of Physics 54 (2):1-67.
    We introduce a framework that can be used to model both mathematics and human reasoning about mathematics. This framework involves stochastic mathematical systems (SMSs), which are stochastic processes that generate pairs of questions and associated answers (with no explicit referents). We use the SMS framework to define normative conditions for mathematical reasoning, by defining a “calibration” relation between a pair of SMSs. The first SMS is the human reasoner, and the second is an “oracle” SMS that can be (...)
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  46.  25
    Stochastic Network Formation and Homophily.Brian Rogers & Paolo Pin - 2016 - In Bramoullé Yann, Andrea Galeotti & Brian Rogers, The Oxford Handbook of the Economics of Networks. Oxford University Press USA.
    This chapter surveys and synthesizes models of network formation based on random graphs and stochastic processes. The material is organized according to whether the population is treated as fixed or evolving. Fixed population models allow one to readily capture a range of network properties through random graphs. Evolving population models allow one to study how network properties emerge asymptotically as a system grows according to some local rules. The chapter then turns to dynamic frameworks including search and matching, and (...)
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  47.  30
    Quantum Equilibrium in Stochastic de Broglie–Bohm–Bell Quantum Mechanics.Jeroen C. Vink - 2023 - Foundations of Physics 53 (1):1-19.
    This paper investigates dynamical relaxation to quantum equilibrium in the stochastic de Broglie–Bohm–Bell formulation of quantum mechanics. The time-dependent probability distributions are computed as in a Markov process with slowly varying transition matrices. Numerical simulations, supported by exact results for the large-time behavior of sequences of (slowly varying) transition matrices, confirm previous findings that indicate that de Broglie–Bohm–Bell dynamics allows an arbitrary initial probability distribution to relax to quantum equilibrium; i.e., there is no need to make the ad-hoc (...)
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  48.  42
    Black Swans of CRISPR: Stochasticity and Complexity of Genetic Regulation.Kang Hao Cheong, Jin Ming Koh & Michael C. Jones - 2019 - Bioessays 41 (7):1900032.
    Graphical AbstractRecent waves of controversies surrounding genetic engineering have spilled into popular science in Twitter battles between reputable scientists and their followers. Here, a cautionary perspective on the possible blind spots and risks of CRISPR and related biotechnologies is presented, focusing in particular on the stochastic nature of cellular control processes.
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  49.  32
    Finite-Time Nonfragile Synchronization of Stochastic Complex Dynamical Networks with Semi-Markov Switching Outer Coupling.Rathinasamy Sakthivel, Ramalingam Sakthivel, Boomipalagan Kaviarasan, Chao Wang & Yong-Ki Ma - 2018 - Complexity 2018:1-13.
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  50.  29
    Stochastic Quantization of the Linearized Gravitational Field.H. Rumpf - 1984 - In Heinrich Mitter & Ludwig Pittner, Stochastic methods and computer techniques in quantum dynamics. New York: Springer Verlag. pp. 435--439.
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