Academic literature on the topic 'Onsager-Machlup'

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Journal articles on the topic "Onsager-Machlup"

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Koide, J. "Microscopic Basis for Onsager-Machlup Theory." Progress of Theoretical Physics 102, no. 6 (December 1, 1999): 1065–84. http://dx.doi.org/10.1143/ptp.102.1065.

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2

Ayanbayev, Birzhan, Ilja Klebanov, Han Cheng Lie, and T. J. Sullivan. "Γ-convergence of Onsager–Machlup functionals: II. Infinite product measures on Banach spaces." Inverse Problems 38, no. 2 (December 28, 2021): 025006. http://dx.doi.org/10.1088/1361-6420/ac3f82.

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Abstract We derive Onsager–Machlup functionals for countable product measures on weighted ℓ p subspaces of the sequence space R N . Each measure in the product is a shifted and scaled copy of a reference probability measure on R that admits a sufficiently regular Lebesgue density. We study the equicoercivity and Γ-convergence of sequences of Onsager–Machlup functionals associated to convergent sequences of measures within this class. We use these results to establish analogous results for probability measures on separable Banach or Hilbert spaces, including Gaussian, Cauchy, and Besov measures with summability parameter 1 ⩽ p ⩽ 2. Together with part I of this paper, this provides a basis for analysis of the convergence of maximum a posteriori estimators in Bayesian inverse problems and most likely paths in transition path theory.
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Sugiura, Nozomi. "The Onsager–Machlup functional for data assimilation." Nonlinear Processes in Geophysics 24, no. 4 (December 1, 2017): 701–12. http://dx.doi.org/10.5194/npg-24-701-2017.

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Abstract. When taking the model error into account in data assimilation, one needs to evaluate the prior distribution represented by the Onsager–Machlup functional. Through numerical experiments, this study clarifies how the prior distribution should be incorporated into cost functions for discrete-time estimation problems. Consistent with previous theoretical studies, the divergence of the drift term is essential in weak-constraint 4D-Var (w4D-Var), but it is not necessary in Markov chain Monte Carlo with the Euler scheme. Although the former property may cause difficulties when implementing w4D-Var in large systems, this paper proposes a new technique for estimating the divergence term and its derivative.
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Moret, Sílvia, and David Nualart. "Onsager-Machlup functional for the fractional Brownian motion." Probability Theory and Related Fields 124, no. 2 (October 1, 2002): 227–60. http://dx.doi.org/10.1007/s004400200211.

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Wolf, Eddy Mayer, and Ofer Zeitouni. "Onsager Machlup functionals for non trace class SPDE's." Probability Theory and Related Fields 95, no. 2 (June 1993): 199–216. http://dx.doi.org/10.1007/bf01192270.

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Tanaka, Shigenori. "Information geometrical characterization of the Onsager-Machlup process." Chemical Physics Letters 689 (December 2017): 152–55. http://dx.doi.org/10.1016/j.cplett.2017.10.005.

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BONACCORSI, STEFANO. "ONSAGER–MACHLUP FUNCTIONAL FOR VOLTERRA EQUATIONS PERTURBED BY NOISE." Stochastics and Dynamics 02, no. 04 (December 2002): 587–98. http://dx.doi.org/10.1142/s0219493702000534.

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The Onsager–Machlup operator is a useful tool in order to study the regularity of the trajectories of the solution to a stochastic differential equation. In this paper, we prove the existence of this operator for the solution of a stochastic Volterra equation in bounded domain. This kind of equation has relevant interest in the applications, as discussed in [6] or [18].
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Hu, Jianyu, Xiaoli Chen, and Jinqiao Duan. "An Onsager–Machlup approach to the most probable transition pathway for a genetic regulatory network." Chaos: An Interdisciplinary Journal of Nonlinear Science 32, no. 4 (April 2022): 041103. http://dx.doi.org/10.1063/5.0088397.

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We investigate a quantitative network of gene expression dynamics describing the competence development in Bacillus subtilis. First, we introduce an Onsager–Machlup approach to quantify the most probable transition pathway for both excitable and bistable dynamics. Then, we apply a machine learning method to calculate the most probable transition pathway via the Euler–Lagrangian equation. Finally, we analyze how the noise intensity affects the transition phenomena.
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Ayryan, Edik, Alexander Egorov, Dmitri Kulyabov, Victor Malyutin, and Leonid Sevastianov. "Functional Integral Approach to the Solution of a System of Stochastic Differential Equations." EPJ Web of Conferences 173 (2018): 02003. http://dx.doi.org/10.1051/epjconf/201817302003.

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A new method for the evaluation of the characteristics of the solution of a system of stochastic differential equations is presented. This method is based on the representation of a probability density function p through a functional integral. The functional integral representation is obtained by means of the Onsager-Machlup functional technique for a special case when the diffusion matrix for the SDE system defines a Riemannian space with zero curvature.
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Shepp, Larry A., and Ofer Zeitouni. "A Note on Conditional Exponential Moments and Onsager-Machlup Functionals." Annals of Probability 20, no. 2 (April 1992): 652–54. http://dx.doi.org/10.1214/aop/1176989796.

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Dissertations / Theses on the topic "Onsager-Machlup"

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"Onsager Machlup functionals for a class of non trace class SPDE'a." Massachusetts Institute of Technology, Laboratory for Information and Decision Systems, 1991. http://hdl.handle.net/1721.1/3241.

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Eddy Mayer Wolf and Ofer Zeitouni.
Caption title.
Includes bibliographical references (p. 13-14).
Supported by the Bernstein Research Fund at the Technion. Supported by the Center for Intelligent Control Systems under a U.S. Army Research Office grant. DAAL03-86-K0171
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"On the Onsager-Machlup functional of diffusion processes around non C2̳ curves." Laboratory for Information and Decision Systems, Massachusetts Institute of Technology], 1987. http://hdl.handle.net/1721.1/3041.

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by Ofer Zeitouni.
Caption title.
Bibliography: p. 19.
Supported, in part, by a grant from the Air Force Office of Scientific Research. AFOSR-85-0227 Supported, in part, by the Weizmann Postdoctoral Fellowship.
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Book chapters on the topic "Onsager-Machlup"

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Kree, Reiner. "Onsager- Machlup Functions for Ising Networks." In Relaxation in Complex Systems and Related Topics, 317–24. Boston, MA: Springer US, 1990. http://dx.doi.org/10.1007/978-1-4899-2136-9_43.

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Pra, Paolo Dai, and Michele Pavon. "A rigorous Onsager-Machlup formulation of nonequilibrium thermodynamics." In Proceedings of the Third German-Italian Symposium Applications of Mathematics in Industry and Technology, 219–28. Wiesbaden: Vieweg+Teubner Verlag, 1989. http://dx.doi.org/10.1007/978-3-322-96692-6_14.

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Capitaine, Mireille. "On the Onsager-Machlup functional for elliptic diffusion processes." In Lecture Notes in Mathematics, 313–28. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/bfb0103810.

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Coulibaly-Pasquier, Koléhè A. "Onsager-Machlup Functional for Uniformly Elliptic Time-Inhomogeneous Diffusion." In Lecture Notes in Mathematics, 105–23. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-11970-0_5.

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Chaleyat-Maurel, Mireille, and David Nualart. "Onsager-Machlup functionals for solutions of stochastic boundary value problems." In Lecture Notes in Mathematics, 44–55. Berlin, Heidelberg: Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/bfb0094199.

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Reports on the topic "Onsager-Machlup"

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Zeitouni, Ofer. On the Onsager-Machlup Functional of Diffusion Processes Around Non C2 Curves. Fort Belvoir, VA: Defense Technical Information Center, August 1988. http://dx.doi.org/10.21236/ada459633.

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