Relevant bibliographies by topics / Hammersley's process

Academic literature on the topic 'Hammersley's process'

Author: Grafiati
Published: 23 September 2022
Last updated: 19 November 2022

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Journal articles on the topic "Hammersley's process"

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Aldous, D., and P. Diaconis. "Hammersley's interacting particle process and longest increasing subsequences." Probability Theory and Related Fields 103, no. 2 (June 1995): 199–213. http://dx.doi.org/10.1007/bf01204214.

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Cator, Eric, and Sergei Dobrynin. "Behavior of a second class particle in Hammersley's process." Electronic Journal of Probability 11 (2006): 670–85. http://dx.doi.org/10.1214/ejp.v11-340.

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Groeneboom, Piet. "Ulam’s Problem And Hammersley’s Process." Annals of Probability 29, no. 2 (April 2001): 683–90. http://dx.doi.org/10.1214/aop/1008956689.

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Cator, Eric, and Piet Groeneboom. "Hammersley’s process with sources and sinks." Annals of Probability 33, no. 3 (May 2005): 879–903. http://dx.doi.org/10.1214/009117905000000053.

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Seppäläinen, Timo, and Yun Zhai. "Hammersley’s harness process: Invariant distributions and height fluctuations." Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 53, no. 1 (February 2017): 287–321. http://dx.doi.org/10.1214/15-aihp717.

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Pimentel, Leandro P. R., and Marcio W. A. de Souza. "Shock Fluctuations for the Hammersley Process." Journal of Statistical Physics 166, no. 1 (January 2017): 169–89. http://dx.doi.org/10.1007/s10955-016-1695-5.

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Cator, Eric, and Piet Groeneboom. "Second class particles and cube root asymptotics for Hammersley’s process." Annals of Probability 34, no. 4 (July 2006): 1273–95. http://dx.doi.org/10.1214/009117906000000089.

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Ferrari, Pablo A., and James B. Martin. "Multiclass Hammersley–Aldous–Diaconis process and multiclass-customer queues." Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 45, no. 1 (February 2009): 250–65. http://dx.doi.org/10.1214/08-aihp168.

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Ciech, Federico, and Nicos Georgiou. "Order of the Variance in the Discrete Hammersley Process with Boundaries." Journal of Statistical Physics 176, no. 3 (June 1, 2019): 591–638. http://dx.doi.org/10.1007/s10955-019-02314-3.

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Chin, Y. C., and A. J. Baddeley. "Markov interacting component processes." Advances in Applied Probability 32, no. 3 (September 2000): 597–619. http://dx.doi.org/10.1239/aap/1013540233.

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A generalization of Markov point processes is introduced in which interactions occur between connected components of the point pattern. A version of the Hammersley-Clifford characterization theorem is proved which states that a point process is a Markov interacting component process if and only if its density function is a product of interaction terms associated with cliques of connected components. Integrability and superpositional properties of the processes are shown and a pairwise interaction example is used for detailed exploration.
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Dissertations / Theses on the topic "Hammersley's process"

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Boyer, Alexandre. "Bidimensional stationarity of random models in the plane." Thesis, université Paris-Saclay, 2022. http://www.theses.fr/2022UPASM011.

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Dans le cadre de cette thèse,trois modèles ont été étudiés indépendamment. Ils ont en commun d’être des modèles aléatoires définis dans le plan et possédant une propriété de stationnarité bidimensionnelle. Le premier est le modèle de Hammersley stationnaire dans le quart de plan, introduit et étudié par Cator et Groeneboom.Nous présentons ici une preuve probabiliste des fluctuations gaussiennes dans le cas non critique. Le deuxième modèle peut être vu comme une version stationnaire du problème d’O’Connell-Yor. La preuve de sa stationnarité est obtenue en introduisant une discrétisation de ce modèle dont nous montrons la stationnarité, puis en observant que cette stationnarité est préservée à la limite. Enfin,le troisième modèle est une classe généralede systèmes aléatoires de lignes brisées dansle quart de plan, dont on montre la réversibilité. Cette classe contient de nombreux processus classiques comme des modèles de percolation de dernier passage. La nouveauté ici est qu’un poids est associé à chaque ligne
In this PhD thesis, three models have been independently studied. They all have in common to be random models defined in the plane and having a two-dimensional stationarity property. The first one is Hammersley’s stationary model in the quarter plane, introduced and studied by Cator and Groeneboom. We present here a probablistic proof the Gaussian fluctuations in the non-critical case. The second model can be seen as a stationary modification ofO’Connell-Yor’s problem. The proof of its stationarity is obtained by introducing a discretisation of this model, by proving its stationairty and then by observing that this stationarity is preserved in the limit. Finally, the third model is a general class of random systems of horizontal and vertical weighted broken lines on the quarter plane whose distribution are proved to be reversible. This class of systems generalizes several classical processes of the same kind. The noveltycomes here from the introduction of a weight associated with each line
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Souza, Marcio Watanabe Alves de. "Flutuações do choque no processo de Hammersley." Universidade de São Paulo, 2013. http://www.teses.usp.br/teses/disponiveis/45/45133/tde-02092014-201127/.

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No presente trabalho provamos resultados sobre as flutuações dos fluxos de partículas e das partículas marcadas no processo de Hammersley multiclasse. Os métodos das demonstrações são robustos, formulados de modo a serem aplicados em outros processos, em particular se aplicam ao processo de exclusão totalmente assimétrico multiclasse (TASEP multiclasse) e à seu respectivo modelo de percolação de última passagem. Os principais teoremas obtidos são um teorema central do limite para o choque, seu coeficiente de difusão e uma fórmula exata para a variância do fluxo de partículas de classe N >1 para o processo em equilíbrio multiclasse.
We prove fluctuations results concerning fluxes of particles and tagged particles on multiclass Hammersley process. The methods used are robust and apply to other processes, in particular all the proofs can be adapted to the Multiclass totally asymmetric simple exclusion process (Multiclass TASEP) and its respective last passage percolation model. The main theorems obtained are a central limit theorem for the shock, its diffusion coefficient and an exact formula for the variance of the $N$-th class particle flux in a stationary version of the multiclass process when N > 1.
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Souza, Marcio Watanabe Alves de. "Alguns processos relacionados a modelos de fluxo de tráfego." Universidade de São Paulo, 2009. http://www.teses.usp.br/teses/disponiveis/45/45133/tde-30082014-095218/.

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No presente trabalho, estudamos alguns sistemas de partículas interagentes que podem ser vistos como modelos simples de fluxo de tráfego, a saber: O Processo de Hammersley-Aldous-Diaconis e o Processo de Exclusão. Exploramos suas representações como modelos de crescimento no plano. Ênfase é dada aos casos em que há mais de um tipo de partícula, aos processos multiclasses e às suas relações com modelos de filas. Analogia entre os modelos é usada para provar os resultados. Por fim, damos uma nova prova para o cálculo da variância assintótica reescalonada do fluxo de partículas de segunda classe no processo de Hammersley multiclasse em equilíbrio.
In the present work we study the following interacting particle systems which can be seen as simple models of traffic flow: The Hammersley-Aldous-Diaconis Process and the Exclusion Process. We explore the related growth models in the plane. Focus is given to cases where there are more than one kind of particles, to the multitype processes and to their relations with queue models. Analogy between the models is used to prove the results. At last, we give a new proof for the calculation of the asimptotic flux of second class particles in the Multiclass Hammersley process in equilibrium.
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Books on the topic "Hammersley's process"

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Disorder in Physical Systems: A Volume in Honour of John Hammersley. Oxford University Press, USA, 1990.

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M, Hammersley J., Grimmett Geoffrey, and Welsh D. J. A, eds. Disorder in physical systems: A volume in honour of John M. Hammersley on the occasion of his 70th birthday. Oxford [England]: Clarendon Press, 1990.

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Book chapters on the topic "Hammersley's process"

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Baryshnikov, Yuliy, Ed Coffman, Nadrian Seeman, and Teddy Yimwadsana. "Self-correcting Self-assembly: Growth Models and the Hammersley Process." In DNA Computing, 1–11. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11753681_1.

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Istrate, Gabriel, and Cosmin Bonchiş. "Partition into Heapable Sequences, Heap Tableaux and a Multiset Extension of Hammersley’s Process." In Combinatorial Pattern Matching, 261–71. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19929-0_22.

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Conference papers on the topic "Hammersley's process"

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Phoomboplab, T., and D. Ceglarek. "Process Yield Improvement Through Optimum Design of Fixture Layouts in 3D Multi-Station Assembly Systems." In ASME 2007 International Manufacturing Science and Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/msec2007-31192.

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This paper presents a new approach to improve process yield by determining an optimum set of fixture layouts for a given multi-station assembly system which can satisfy: (i) parts and subassemblies locating stability in each fixture layout; and (ii) fixture system robustness against environmental noises in order to minimize product dimensional variability. Three major challenges of the multi-stage assembly processes are addressed: (i) high-dimensional design space; (ii) large and complex design space of each locator; and (iii) the nonlinear relations between locator positions, also called Key Control Characteristics, and Key Product Characteristics. The proposed methodology conducts two-step optimization based on the integration of Genetic Algorithm and Hammersley Sequence Sampling. First, Genetic Algorithm is used for design space reduction by determining the areas of optimal fixture locations in initial design spaces. Then, Hammersley Sequence Sampling uniformly samples the candidate sets of fixture layouts from the areas predetermined by GA for the optimum. The process yield and part instability index are design objectives in evaluating candidate sets of fixture layouts. An industrial case study illustrates and validates the proposed methodology.
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