Academic literature on the topic 'Fleming-Viot processes'

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Journal articles on the topic "Fleming-Viot processes"

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Hiraba, Seiji. "Jump-type Fleming-Viot processes." Advances in Applied Probability 32, no. 1 (2000): 140–58. http://dx.doi.org/10.1239/aap/1013540027.

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In 1991 Perkins [7] showed that the normalized critical binary branching process is a time inhomogeneous Fleming-Viot process. In the present paper we extend this result to jump-type branching processes and we show that the normalized jump-type branching processes are in a new class of probability measure-valued processes which will be called ‘jump-type Fleming-Viot processes’. Furthermore we also show that by using these processes it is possible to introduce another new class of measure-valued processes which are obtained by the combination of jump-type branching processes and Fleming-Viot pr
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Hiraba, Seiji. "Jump-type Fleming-Viot processes." Advances in Applied Probability 32, no. 01 (2000): 140–58. http://dx.doi.org/10.1017/s0001867800009812.

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In 1991 Perkins [7] showed that the normalized critical binary branching process is a time inhomogeneous Fleming-Viot process. In the present paper we extend this result to jump-type branching processes and we show that the normalized jump-type branching processes are in a new class of probability measure-valued processes which will be called ‘jump-type Fleming-Viot processes’. Furthermore we also show that by using these processes it is possible to introduce another new class of measure-valued processes which are obtained by the combination of jump-type branching processes and Fleming-Viot pr
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XIANG, KAI-NAN, and TU-SHENG ZHANG. "SMALL TIME ASYMPTOTICS FOR FLEMING–VIOT PROCESSES." Infinite Dimensional Analysis, Quantum Probability and Related Topics 08, no. 04 (2005): 605–30. http://dx.doi.org/10.1142/s0219025705002177.

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In this paper, a sample path large deviation for Fleming–Viot processes corresponding to the small time asymptotics is established. The rate function is identified as the energy functional of paths associated to the Bhattacharya metric, the intrinsic metric of Fleming–Viot processes.
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Vaillancourt, Jean. "Interacting Fleming-Viot processes." Stochastic Processes and their Applications 36, no. 1 (1990): 45–57. http://dx.doi.org/10.1016/0304-4149(90)90041-p.

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Feng, Shui, Byron Schmuland, Jean Vaillancourt, and Xiaowen Zhou. "Reversibility of Interacting Fleming–Viot Processes with Mutation, Selection, and Recombination." Canadian Journal of Mathematics 63, no. 1 (2011): 104–22. http://dx.doi.org/10.4153/cjm-2010-071-1.

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Abstract Reversibility of the Fleming-Viot process with mutation, selection, and recombination is well understood. In this paper, we study the reversibility of a system of Fleming-Viot processes that live on a countable number of colonies interacting with each other through migrations between the colonies. It is shown that reversibility fails when both migration and mutation are non-trivial.
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Cloez, Bertrand, and Marie-Noémie Thai. "Fleming-Viot processes: two explicit examples." Latin American Journal of Probability and Mathematical Statistics 13, no. 1 (2016): 337. http://dx.doi.org/10.30757/alea.v13-14.

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Ethier, S. N., and Thomas G. Kurtz. "Fleming–Viot Processes in Population Genetics." SIAM Journal on Control and Optimization 31, no. 2 (1993): 345–86. http://dx.doi.org/10.1137/0331019.

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HE, HUI. "FLEMING–VIOT PROCESSES IN AN ENVIRONMENT." Infinite Dimensional Analysis, Quantum Probability and Related Topics 13, no. 03 (2010): 489–509. http://dx.doi.org/10.1142/s0219025710004127.

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We consider a new type of lookdown processes where spatial motion of each individual is influenced by an individual noise and a common noise, which could be regarded as an environment. Then a class of probability measure-valued processes on real line ℝ is constructed. The sample path properties are investigated: the values of this new type process are either purely atomic measures or absolutely continuous measures according to the existence of individual noise. When the process is absolutely continuous with respect to Lebesgue measure, we derive a new stochastic partial differential equation f
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Ethier, S. N., and Stephen M. Krone. "Comparing Fleming-Viot and Dawson-Watanabe processes." Stochastic Processes and their Applications 60, no. 2 (1995): 171–90. http://dx.doi.org/10.1016/0304-4149(95)00056-9.

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Li, Zenghu, Tokuzo Shiga, and Lihua Yao. "A Reversibility Problem for Fleming-Viot Processes." Electronic Communications in Probability 4 (1999): 65–76. http://dx.doi.org/10.1214/ecp.v4-1007.

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Dissertations / Theses on the topic "Fleming-Viot processes"

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Vaillancourt, Jean Carleton University Dissertation Mathematics. "Interacting Fleming-Viot processes and related measure-valued processes." Ottawa, 1987.

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Saadi, Habib. "Lambda-Fleming-Viot processes and their spatial extensions." Thesis, University of Oxford, 2011. http://ora.ox.ac.uk/objects/uuid:5e069206-e124-4b21-aec2-df7a69393038.

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The subject of this thesis is the study of certain stochastic models arising in Population Genetics. The study of biological evolution naturally motivates the construction and use of sometimes sophisticated mathematical models. We contribute to the study of the so-called Lambda models. Our work is divided into two parts. In Part I, we study non-spatial models, introduced in 1999. Although there is a very rich literature concerning the description of genetic diversity thanks to the genealogies arising in these models, we obtain new results by considering the dynamics of the full population. We
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Silva, Telles Timóteo da. "Some contributions to population genetics via Fleming-Viot processes." Laboratório Nacional de Computação Científica, 2006. http://www.lncc.br/tdmc/tde_busca/arquivo.php?codArquivo=28.

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O processo de Fleming-Viot é um processo de Markov cujo espaço de estado é um conjunto de medidas de propabilidade. As funções-amostras do processo representam as prováveis possibilidades de transformação das freqüencias de tipos genéticos presentes numa população ao longo do tempo. Obtido como solução de um problema de martingala bem posto para um operador linear construído de forma a modelar diversas características importantes no estudo da genética populacional, como mutação, seleção, deriva genética, entre outras, o processo de Fleming-Viot permite, por meio de uma abordagem matemática uni
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RUGGIERO, MATTEO. "Urn-based particle processes for Fleming-Viot model in bayesian nonparametrics." Doctoral thesis, Università Bocconi, 2007. https://hdl.handle.net/11565/4051151.

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Grieshammer, Max [Verfasser], and Andreas [Gutachter] Greven. "Measure representations of genealogical processes and applications to Fleming-Viot models / Max Grieshammer ; Gutachter: Andreas Greven." Erlangen : Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), 2017. http://d-nb.info/1135779805/34.

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Gufler, Stephan [Verfasser], Götz [Akademischer Betreuer] [Gutachter] Kersting, Anton [Gutachter] Wakolbinger, and Gall Jean-François [Gutachter] Le. "Tree-valued Fleming-Viot processes : a generalization, pathwise constructions, and invariance principles / Stephan Gufler ; Gutachter: Götz Kersting, Anton Wakolbinger, Jean-François Le Gall ; Betreuer: Götz Kersting." Frankfurt am Main : Universitätsbibliothek Johann Christian Senckenberg, 2017. http://d-nb.info/1126577634/34.

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Straulino, Daniel. "Selection in a spatially structured population." Thesis, University of Oxford, 2014. http://ora.ox.ac.uk/objects/uuid:3a20f7a3-27cd-4cbb-9e88-7ebb21ce4e0d.

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This thesis focus on the effect that selection has on the ancestry of a spatially structured population. In the absence of selection, the ancestry of a sample from the population behaves as a system of random walks that coalesce upon meeting. Backwards in time, each ancestral lineage jumps, at the time of its birth, to the location of its parent, and whenever two ancestral lineages have the same parent they jump to the same location and coalesce. Introducing selective forces to the evolution of a population translates into branching when we follow ancestral lineages, a by-product of biased sam
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Silva, Telles Timóteo da. "Contribuições à genética populacional via processos de Fleming-Viot." Laboratório Nacional de Computação Científica, 2006. https://tede.lncc.br/handle/tede/59.

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Made available in DSpace on 2015-03-04T18:50:48Z (GMT). No. of bitstreams: 1 Apresentacao.pdf: 199708 bytes, checksum: ce3c2b5e9db17dddd7a2684d9e5cac8b (MD5) Previous issue date: 2006-07-14<br>O processo de Fleming-Viot é um processo de Markov cujo espaço de estado é um conjunto de medidas de propabilidade. As funções-amostras do processo representam as prováveis possibilidades de transformação das freqüencias de tipos genéticos presentes numa população ao longo do tempo. Obtido como solução de um problema de martingala bem posto para um operador linear construído de forma a modelar divers
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Hass, Vincent. "Modèles individu-centrés en dynamiques adaptatives, comportement asymptotique et équation canonique : le cas des mutations petites et fréquentes." Electronic Thesis or Diss., Université de Lorraine, 2023. http://www.theses.fr/2023LORR0165.

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La théorie des dynamiques adaptatives est une branche de la biologie de l'évolution qui étudie les liens entre Écologie et Évolution. Les hypothèses biologiques qui définissent son cadre sont celles de mutations rares et petites et de grande population asexuée. Les modèles de dynamiques adaptatives décrivent la population au niveau des individus, lesquels sont caractérisés par leurs phénotypes, et visent à étudier l'influence des mécanismes d'hérédité, de mutation et de sélection sur l'évolution à long terme de la population. Le succès de cette théorie vient notamment de sa capacité à fournir
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Foucart, Clément. "Coalescents distingués échangeables et processus de Fleming-Viot généralisés avec immigration." Paris 6, 2012. http://www.theses.fr/2012PA066187.

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L'objet de la thèse est d'étudier des processus stochastiques coalescents modélisant la généalogie d'une population échangeable avec immigration. On représente la population par l'ensemble des entiers N:={1,2,. . }. Imaginons que l'on échantillonne n individus dans la population aujourd'hui. On cherche à regrouper ces n individus selon leur ancêtre en remontant dans le temps. En raison de l'immigration, il se peut qu'à partir d'une certaine génération, certains individus n'aient pas d'ancêtre dans la population. Par convention, nous les regrouperons dans un bloc que nous distinguerons en ajout
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Books on the topic "Fleming-Viot processes"

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Dawson, Donald A., and Andreas Greven. Spatial Fleming-Viot Models with Selection and Mutation. Springer London, Limited, 2013.

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Dawson, Donald A., Andreas Greven, and Jean Vaillancourt. Equilibria and Quasiequilibria for Infinite Collections of Interacting Fleming-Viot Processes. Amer Mathematical Society, 2003.

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Book chapters on the topic "Fleming-Viot processes"

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Perkins, Edwin A. "Conditional Dawson—Watanabe Processes and Fleming—Viot Processes." In Seminar on Stochastic Processes, 1991. Birkhäuser Boston, 1992. http://dx.doi.org/10.1007/978-1-4612-0381-0_12.

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Ethier, S. N., and Tokuzo Shiga. "A Fleming-Viot Process with Unbounded Selection, II." In Markov Processes and Controlled Markov Chains. Springer US, 2002. http://dx.doi.org/10.1007/978-1-4613-0265-0_17.

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Dawson, Donald A., and Vladimir Vinogradov. "Mutual Singularity of Genealogical Structures of Fleming-Viot and Continuous Branching Processes." In The Dynkin Festschrift. Birkhäuser Boston, 1994. http://dx.doi.org/10.1007/978-1-4612-0279-0_2.

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Conference papers on the topic "Fleming-Viot processes"

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Fragoso, M. D., and T. T. da Silva. "A note on jump-type Fleming-Viot processes." In 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601). IEEE, 2004. http://dx.doi.org/10.1109/cdc.2004.1429402.

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