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217 results on '"Jump rate"'

1. Continuous dependence of an invariant measure on the jump rate of a piecewise-deterministic Markov process

Author

Dawid Czapla, Sander C. Hille, Katarzyna Horbacz, and Hanna Wojewódka-Ściążko

Subjects
invariant measure, piecewise-deterministic markov process, random dynamical system, jump rate, continuous dependence, Biotechnology, TP248.13-248.65, Mathematics, QA1-939
Abstract

We investigate a piecewise-deterministic Markov process, evolving on a Polish metric space, whose deterministic behaviour between random jumps is governed by some semi-flow, and any state right after the jump is attained by a randomly selected continuous transformation. It is assumed that the jumps appear at random moments, which coincide with the jump times of a Poisson process with intensity λ. The model of this type, although in a more general version, was examined in our previous papers, where we have shown, among others, that the Markov process under consideration possesses a unique invariant probability measure, say $\nu_{\lambda}^*$. The aim of this paper is to prove that the map $\lambda\mapsto\nu_{\lambda}^*$ is continuous (in the topology of weak convergence of probability measures). The studied dynamical system is inspired by certain stochastic models for cell division and gene expression.

Published
2020
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3. Energetics and kinetics of hydrogen at the grain boundary of the Ni alloys: A first-principles study.

Author

Zhu, Linggang, Zhou, Jian, Yang, Hui, and Sun, Zhimei

Subjects
*CRYSTAL grain boundaries, *METALS, *ALLOYS, *TUNGSTEN alloys, *HYDROGEN, *ATOMIC radius
Abstract

Materials design at atomic scale to manipulate the behavior of hydrogen is one of the key strategies to improve the hydrogen-embrittlement (HE) resistance of the materials. In the present work, tuning the energetic and kinetics of hydrogen at the Ʃ5(210)[001] GB of Ni by the alloying elements are studied using a comprehensive calculation. Firstly, the metallic elements that tend to stay at the GB are screened from 12 normally used alloying elements. It is found that as the size of the alloying element increases to 30% larger than Ni, its segregation tendency at the GB increases dramatically. The GB-segregated elements reconstruct the energy-landscape of the GB for hydrogen, significantly affecting the segregation and diffusion of hydrogen. Based on the calculations of the attempt frequency and energy barrier, we find that at room temperature the jump rate of hydrogen for the rate-determining step in the long-distance diffusion can be decreased by 5–10 orders (direction dependent), as Al, Ta, W or Zr is alloyed. Meanwhile, the pathway of the rate-limiting jump of H can be diverted in the presence of the alloying element. Thus the alloyed GB can act as an obstacle for the diffusion of hydrogen rather than a fast diffusion channel as in the case of a clean GB. The theoretical results are compared to the available experimental data. The present work provides valuable guidelines for improving the HE resistance of Ni alloys via grain boundary engineering. Image 1 • Segregation of the alloying element at Ni-GB is closely related to its atomic size. • Zero-point vibration slightly enhances the segregation of H at Ni-GB. • Rate-limiting jump for the diffusion of H at Ni-GB is figured out. • Alloyed GB can significantly retard the diffusion of H. [ABSTRACT FROM AUTHOR]

Published
2019
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10. A new characterization of the jump rate for piecewise-deterministic Markov processes with discrete transitions.

Author

Azaïs, Romain and Genadot, Alexandre

Subjects
*DISCRETE systems, *MARKOV processes, *PROBABILITY theory, *STOCHASTIC convergence, *STOCHASTIC models
Abstract

Piecewise-deterministic Markov processes form a general class of non diffusion stochastic models that involve both deterministic trajectories and random jumps at random times. In this paper, we state a new characterization of the jump rate of such a process with discrete transitions. We deduce from this result a non parametric technique for estimating this feature of interest. We state the uniform convergence in probability of the estimator. The methodology is illustrated on a numerical example. [ABSTRACT FROM PUBLISHER]

Published
2018
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11. Approximation of General Stochastic Hybrid Systems by Switching Diffusions with Random Hybrid Jumps

Author

Abate, Alessandro, Prandini, Maria, Lygeros, John, Sastry, Shankar, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Egerstedt, Magnus, editor, and Mishra, Bud, editor

Published
2008
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12. Correlation in Solid-State Diffusion

Author

Cardona, Manuel, editor, Fulde, Peter, editor, von Klitzing, Klaus, editor, Queisser, Hans-Joachim, editor, Merlin, Roberto, editor, Störmer, Horst, editor, and Mehrer, Helmut

Published
2007
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13. Isotope Effect of Diffusion

Author

Cardona, Manuel, editor, Fulde, Peter, editor, von Klitzing, Klaus, editor, Queisser, Hans-Joachim, editor, Merlin, Roberto, editor, Störmer, Horst, editor, and Mehrer, Helmut

Published
2007
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19. Approches algorithmiques pour la statistique : processus déterministes par morceaux et arbres aléatoires

Author

Azaïs, Romain, Simulation et Analyse de la morphogenèse in siliCo (MOSAIC), Inria Lyon, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), ENS de Lyon, and Franck Picard

Subjects
Arbres aléatoires, Processus de Galton-Watson, Galton-Watson process, Enumeration, Random trees, Piecewise-deterministic Markov process, Noyau de convolution, Jump rate, Enumération, Taux de saut, Processus markovien déterministe par morceaux, [INFO]Computer Science [cs], Estimation non-paramétrique, [MATH]Mathematics [math], Nonparametric estimation, Convolution kernel
Abstract

Ce manuscrit donne une présentation synthétique et une mise en perspective de morceauxchoisis de mes travaux de recherche effectués depuis 2014 en vue de l’obtentionde l’habilitation à diriger des recherches en mathématiques appliquées. Ceux-ci portentprincipalement sur l’analyse statistique de deux objets mathématiques : les processusdéterministes par morceaux et les arbres aléatoires. Les premiers constituent un modèledynamique sur un espace continu en temps continu quand les seconds sont statiques etintrinsèquement discrets. S’ils sont donc de nature différente, l’approche suivie pour leurétude statistique est commune : développer des méthodes algorithmiques d’extractionde l’information rigoureuses, fondées sur la théorie et vérifiées expérimentalement. C’estcette idée que les quatre chapitres de ce mémoire cherchent à illustrer.Les deux premiers chapitres sont consacrés aux processus markoviens déterministes parmorceaux. On s’intéresse d’abord au problème de l’estimation de leur taux de saut dansun cadre général et lorsqu’une unique trajectoire en temps long est observée. On seconcentre dans un second temps sur l’estimation de fonctionnelles liées aux croisements,continus ou survenant lors de sauts, de ces processus.On propose dans les deux derniers chapitres de ce manuscrit des méthodes d’analysestatistique des données arborescentes. On commence par étudier théoriquement àtravers un modèle probabiliste le noyau des sous-arbres pour en proposer ensuite desgénéralisations. Enfin, on construit des estimateurs consistants des paramètres inconnusde la loi de naissance d’arbres de Galton-Watson conditionnés par la taille ou la hauteur.

Published
2022

20. Diffusion

Author

Hull, Robert, editor, Osgood, R.M., Jr., editor, Parisi, Jürgen, editor, Warlimont, Hans, editor, and Fukai, Yuh

Published
2005
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25. Dissipative Two-State Systems

Author

Dattagupta, Sushanta, Puri, Sanjay, Hull, Robert, editor, Osgood, R. M., Jr., editor, Parisi, Jürgen, editor, Warlimont, Hans, editor, Dattagupta, Sushanta, and Puri, Sanjay

Published
2004
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26. Bose-Einstein Condensation Studied by the Real-Time Monte Carlo Simulation in the Frame of Java Applet

Author

Gall, Monika, Kutner, Ryszard, Majerowski, Andrzej, Żebrowski, Dariusz, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Dough, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Bubak, Marian, editor, van Albada, Geert Dick, editor, Sloot, Peter M. A., editor, and Dongarra, Jack, editor

Published
2004
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32. Self-Consistency of Thermal Jump Trajectories

Author

Chough, Y.-T., Carmichael, H.J., Beig, R., editor, Ehlers, J., editor, Frisch, U., editor, Hepp, K., editor, Hillebrandt, W., editor, Imboden, D., editor, Jaffe, R. L., editor, Kippenhahn, R., editor, Lipowsky, R., editor, Löhneysen, H. v., editor, Ojima, I., editor, Weidenmüller, H. A., editor, Wess, J., editor, Zittartz, J., editor, Carmichael, Howard J., editor, Glauber, Roy J., editor, and Scully, Marlan O., editor

Published
2001
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34. Large Deviations from the Hydrodynamic Limit

Author

Kipnis, Claude, Landim, Claudio, Chern, S. S., editor, Eckmann, B., editor, de la Harpe, P., editor, Hironaka, H., editor, Hirzebruch, F., editor, Hitchin, N., editor, Hörmander, L., editor, Knus, M.-A., editor, Kupiainen, A., editor, Lannes, J., editor, Lebeau, G., editor, Ratner, M., editor, Serre, D., editor, Sinai, Ya. G., editor, Sloane, N. J. A., editor, Tits, J., editor, Waldschmidt, M., editor, Watanabe, S., editor, Berger, M., editor, Coates, J., editor, Varadhan, S. R. S., editor, Kipnis, Claude, and Landim, Claudio

Published
1999
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35. Equilibrium Fluctuations of Reversible Dynamics

Author

Kipnis, Claude, Landim, Claudio, Chern, S. S., editor, Eckmann, B., editor, de la Harpe, P., editor, Hironaka, H., editor, Hirzebruch, F., editor, Hitchin, N., editor, Hörmander, L., editor, Knus, M.-A., editor, Kupiainen, A., editor, Lannes, J., editor, Lebeau, G., editor, Ratner, M., editor, Serre, D., editor, Sinai, Ya. G., editor, Sloane, N. J. A., editor, Tits, J., editor, Waldschmidt, M., editor, Watanabe, S., editor, Berger, M., editor, Coates, J., editor, Varadhan, S. R. S., editor, Kipnis, Claude, and Landim, Claudio

Published
1999
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36. Markovian Models

Author

Yin, G. George, Zhang, Qing, Karatzas, I., editor, Yor, M., editor, Yin, G. George, and Zhang, Qing

Published
1998
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38. A diffusion-limited reaction

Author

Burschka, Martin A., Araki, H., editor, Brézin, E., editor, Ehlers, J., editor, Frisch, U., editor, Hepp, K., editor, Jaffe, R. L., editor, Kippenhahn, R., editor, Weidenmüller, H. A., editor, Wess, J., editor, Zittartz, J., editor, Beiglböck, W., editor, Lehr, Sabine, editor, Schimansky-Geier, Lutz, editor, and Pöschel, Thorsten, editor

Published
1997
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46. Diffusion

Author

Fukai, Yuh, Gonser, U., editor, Mooradian, A., editor, Osgood, R. M., editor, Panish, M. B., editor, Sakaki, H., editor, Lotsch, Helmut K. V., editor, and Fukai, Yuh

Published
1993
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