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  • Artigo de periodico

    Simple and reliable boundary detection for meshfree particle methods using interval analysis (2020)

    Sandim, Marcos Henrique Alves ; Paiva, Afonso ; Figueiredo, Luiz Henrique de

    Source: Journal of Computational Physics. Unidade: ICMC

    Subjects: DINÂMICA DOS FLUÍDOS COMPUTACIONAL, ANÁLISE DE INTERVALOS, ALGORITMOS ÚTEIS E ESPECÍFICOS

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      SANDIM, Marcos Henrique Alves e PAIVA, Afonso e FIGUEIREDO, Luiz Henrique de. Simple and reliable boundary detection for meshfree particle methods using interval analysis. Journal of Computational Physics, v. 420, p. 1-15, 2020Tradução . . Disponível em: https://doi.org/10.1016/j.jcp.2020.109702. Acesso em: 28 set. 2024.

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      Sandim, M. H. A., Paiva, A., & Figueiredo, L. H. de. (2020). Simple and reliable boundary detection for meshfree particle methods using interval analysis. Journal of Computational Physics, 420, 1-15. doi:10.1016/j.jcp.2020.109702

    • NLM

      Sandim MHA, Paiva A, Figueiredo LH de. Simple and reliable boundary detection for meshfree particle methods using interval analysis [Internet]. Journal of Computational Physics. 2020 ; 420 1-15.[citado 2024 set. 28 ] Available from: https://doi.org/10.1016/j.jcp.2020.109702

    • Vancouver

      Sandim MHA, Paiva A, Figueiredo LH de. Simple and reliable boundary detection for meshfree particle methods using interval analysis [Internet]. Journal of Computational Physics. 2020 ; 420 1-15.[citado 2024 set. 28 ] Available from: https://doi.org/10.1016/j.jcp.2020.109702

  • Trabalho de evento-anais periodico

    On the number of r-transitive orientations of G (n, p) (2017)

    Collares, M.; Kohayakawa, Yoshiharu ; Morris, R.; Mota, G.O.

    Source: Electronic Notes in Discrete Mathematics. Conference titles: European Conference on Combinatorics, Graph Theory and Applications - EUROCOMB'17. Unidade: IME

    Subjects: MATEMÁTICA DISCRETA, GRAFOS ALEATÓRIOS

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      COLLARES, M. et al. On the number of r-transitive orientations of G (n, p). Electronic Notes in Discrete Mathematics. Amsterdam: Elsevier. Disponível em: https://doi.org/10.1016/j.endm.2017.06.046. Acesso em: 28 set. 2024. , 2017

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      Collares, M., Kohayakawa, Y., Morris, R., & Mota, G. O. (2017). On the number of r-transitive orientations of G (n, p). Electronic Notes in Discrete Mathematics. Amsterdam: Elsevier. doi:10.1016/j.endm.2017.06.046

    • NLM

      Collares M, Kohayakawa Y, Morris R, Mota GO. On the number of r-transitive orientations of G (n, p) [Internet]. Electronic Notes in Discrete Mathematics. 2017 ; 61 255-261.[citado 2024 set. 28 ] Available from: https://doi.org/10.1016/j.endm.2017.06.046

    • Vancouver

      Collares M, Kohayakawa Y, Morris R, Mota GO. On the number of r-transitive orientations of G (n, p) [Internet]. Electronic Notes in Discrete Mathematics. 2017 ; 61 255-261.[citado 2024 set. 28 ] Available from: https://doi.org/10.1016/j.endm.2017.06.046

  • Artigo de periodico

    Limits of permutation sequences (2013)

    Hoppen, Carlos; Kohayakawa, Yoshiharu ; Moreira, Carlos Gustavo; Ráth, Balázs; Sampaio, Rudini Menezes

    Source: Journal of Combinatorial Theory, Series B. Unidade: IME

    Subjects: COMBINATÓRIA, PERMUTAÇÕES

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      HOPPEN, Carlos et al. Limits of permutation sequences. Journal of Combinatorial Theory, Series B, v. 103, n. 1, p. 93-113, 2013Tradução . . Disponível em: https://doi.org/10.1016/j.jctb.2012.09.003. Acesso em: 28 set. 2024.

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      Hoppen, C., Kohayakawa, Y., Moreira, C. G., Ráth, B., & Sampaio, R. M. (2013). Limits of permutation sequences. Journal of Combinatorial Theory, Series B, 103( 1), 93-113. doi:10.1016/j.jctb.2012.09.003

    • NLM

      Hoppen C, Kohayakawa Y, Moreira CG, Ráth B, Sampaio RM. Limits of permutation sequences [Internet]. Journal of Combinatorial Theory, Series B. 2013 ; 103( 1): 93-113.[citado 2024 set. 28 ] Available from: https://doi.org/10.1016/j.jctb.2012.09.003

    • Vancouver

      Hoppen C, Kohayakawa Y, Moreira CG, Ráth B, Sampaio RM. Limits of permutation sequences [Internet]. Journal of Combinatorial Theory, Series B. 2013 ; 103( 1): 93-113.[citado 2024 set. 28 ] Available from: https://doi.org/10.1016/j.jctb.2012.09.003

  • Artigo de periodico

    Testing permutation properties through subpermutations (2011)

    Hoppen, Carlos; Kohayakawa, Yoshiharu ; Moreira, Carlos Gustavo; Sampaio, Rudini Menezes

    Source: Theoretical Computer Science. Unidade: IME

    Assunto: TEORIA DOS GRUPOS

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      HOPPEN, Carlos et al. Testing permutation properties through subpermutations. Theoretical Computer Science, v. 412, n. 29, p. 3555-3567, 2011Tradução . . Disponível em: https://doi.org/10.1016/j.tcs.2011.03.002. Acesso em: 28 set. 2024.

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      Hoppen, C., Kohayakawa, Y., Moreira, C. G., & Sampaio, R. M. (2011). Testing permutation properties through subpermutations. Theoretical Computer Science, 412( 29), 3555-3567. doi:10.1016/j.tcs.2011.03.002

    • NLM

      Hoppen C, Kohayakawa Y, Moreira CG, Sampaio RM. Testing permutation properties through subpermutations [Internet]. Theoretical Computer Science. 2011 ; 412( 29): 3555-3567.[citado 2024 set. 28 ] Available from: https://doi.org/10.1016/j.tcs.2011.03.002

    • Vancouver

      Hoppen C, Kohayakawa Y, Moreira CG, Sampaio RM. Testing permutation properties through subpermutations [Internet]. Theoretical Computer Science. 2011 ; 412( 29): 3555-3567.[citado 2024 set. 28 ] Available from: https://doi.org/10.1016/j.tcs.2011.03.002

  • Trabalho de evento

    Property testing and parameter testing for permutations (2010)

    Hoppen, Carlos; Kohayakawa, Yoshiharu ; Moreira, Carlos Gustavo; Sampaio, Rudini Menezes

    Source: proceedings. Conference titles: SODA10: ACM-SIAM Symposium on Discrete Algorithms. Unidade: IME

    Assunto: ALGORITMOS

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      HOPPEN, Carlos et al. Property testing and parameter testing for permutations. 2010, Anais.. Philadelphia: ACM-SIAM, 2010. Disponível em: https://dl.acm.org/citation.cfm?id=1873608. Acesso em: 28 set. 2024.

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      Hoppen, C., Kohayakawa, Y., Moreira, C. G., & Sampaio, R. M. (2010). Property testing and parameter testing for permutations. In proceedings. Philadelphia: ACM-SIAM. Recuperado de https://dl.acm.org/citation.cfm?id=1873608

    • NLM

      Hoppen C, Kohayakawa Y, Moreira CG, Sampaio RM. Property testing and parameter testing for permutations [Internet]. proceedings. 2010 ;[citado 2024 set. 28 ] Available from: https://dl.acm.org/citation.cfm?id=1873608

    • Vancouver

      Hoppen C, Kohayakawa Y, Moreira CG, Sampaio RM. Property testing and parameter testing for permutations [Internet]. proceedings. 2010 ;[citado 2024 set. 28 ] Available from: https://dl.acm.org/citation.cfm?id=1873608

  • Trabalho de evento

    Reactoon: storytelling in a tangible environment (2010)

    Alves, Alexandra; Lopes, Roseli de Deus ; Velho, Luiz ; Silva, Djalma; Matos, Patrik

    Source: DIGITEL. Conference titles: IEEE International Conference on Digital Game and Intelligent Toy Enhanced Learning. Unidade: EP

    Subjects: INTERFACE GRÁFICA, ANIMAÇÃO

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      ALVES, Alexandra et al. Reactoon: storytelling in a tangible environment. 2010, Anais.. Kaohsiung: Escola Politécnica, Universidade de São Paulo, 2010. Disponível em: https://doi.org/10.1109/digitel.2010.28. Acesso em: 28 set. 2024.

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      Alves, A., Lopes, R. de D., Velho, L., Silva, D., & Matos, P. (2010). Reactoon: storytelling in a tangible environment. In DIGITEL. Kaohsiung: Escola Politécnica, Universidade de São Paulo. doi:10.1109/digitel.2010.28

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      Alves A, Lopes R de D, Velho L, Silva D, Matos P. Reactoon: storytelling in a tangible environment [Internet]. DIGITEL. 2010 ;[citado 2024 set. 28 ] Available from: https://doi.org/10.1109/digitel.2010.28

    • Vancouver

      Alves A, Lopes R de D, Velho L, Silva D, Matos P. Reactoon: storytelling in a tangible environment [Internet]. DIGITEL. 2010 ;[citado 2024 set. 28 ] Available from: https://doi.org/10.1109/digitel.2010.28

  • Artigo de periodico

    Measures of pseudorandomness for finite sequences: typical values (2007)

    Alon, Noga; Kohayakawa, Yoshiharu ; Mauduit, Christian; Moreira, Carlos Gustavo; Rodl, Vojtech

    Source: Proceedings of the London Mathematical Society. Unidade: IME

    Subjects: CIÊNCIA DA COMPUTAÇÃO, MATEMÁTICA DISCRETA, COMBINATÓRIA

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      ALON, Noga et al. Measures of pseudorandomness for finite sequences: typical values. Proceedings of the London Mathematical Society, v. 95, n. 3, p. 778-812, 2007Tradução . . Disponível em: https://doi.org/10.1112/plms/pdm027. Acesso em: 28 set. 2024.

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      Alon, N., Kohayakawa, Y., Mauduit, C., Moreira, C. G., & Rodl, V. (2007). Measures of pseudorandomness for finite sequences: typical values. Proceedings of the London Mathematical Society, 95( 3), 778-812. doi:10.1112/plms/pdm027

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      Alon N, Kohayakawa Y, Mauduit C, Moreira CG, Rodl V. Measures of pseudorandomness for finite sequences: typical values [Internet]. Proceedings of the London Mathematical Society. 2007 ; 95( 3): 778-812.[citado 2024 set. 28 ] Available from: https://doi.org/10.1112/plms/pdm027

    • Vancouver

      Alon N, Kohayakawa Y, Mauduit C, Moreira CG, Rodl V. Measures of pseudorandomness for finite sequences: typical values [Internet]. Proceedings of the London Mathematical Society. 2007 ; 95( 3): 778-812.[citado 2024 set. 28 ] Available from: https://doi.org/10.1112/plms/pdm027

  • Artigo de periodico

    D-simple rings and principal maximal ideals of the weyl algebra (2005)

    Lequain, Yves; Levcovitz, Daniel ; Souza Júnior, José Carlos de

    Source: Glasgow Mathematical Journal. Unidade: ICMC

    Assunto: ANÉIS E ÁLGEBRAS COMUTATIVOS

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      LEQUAIN, Yves e LEVCOVITZ, Daniel e SOUZA JÚNIOR, José Carlos de. D-simple rings and principal maximal ideals of the weyl algebra. Glasgow Mathematical Journal, v. 47, n. 2, p. 269-285, 2005Tradução . . Disponível em: http://journals.cambridge.org/download.php?file=%2FGMJ%2FGMJ47_02%2FS001708950500248Xa.pdf&code=753d0c644f67b20fc3e652438a6bb5. Acesso em: 28 set. 2024.

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      Lequain, Y., Levcovitz, D., & Souza Júnior, J. C. de. (2005). D-simple rings and principal maximal ideals of the weyl algebra. Glasgow Mathematical Journal, 47( 2), 269-285. Recuperado de http://journals.cambridge.org/download.php?file=%2FGMJ%2FGMJ47_02%2FS001708950500248Xa.pdf&code=753d0c644f67b20fc3e652438a6bb5

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      Lequain Y, Levcovitz D, Souza Júnior JC de. D-simple rings and principal maximal ideals of the weyl algebra [Internet]. Glasgow Mathematical Journal. 2005 ; 47( 2): 269-285.[citado 2024 set. 28 ] Available from: http://journals.cambridge.org/download.php?file=%2FGMJ%2FGMJ47_02%2FS001708950500248Xa.pdf&code=753d0c644f67b20fc3e652438a6bb5

    • Vancouver

      Lequain Y, Levcovitz D, Souza Júnior JC de. D-simple rings and principal maximal ideals of the weyl algebra [Internet]. Glasgow Mathematical Journal. 2005 ; 47( 2): 269-285.[citado 2024 set. 28 ] Available from: http://journals.cambridge.org/download.php?file=%2FGMJ%2FGMJ47_02%2FS001708950500248Xa.pdf&code=753d0c644f67b20fc3e652438a6bb5

  • Trabalho de evento-anais periodico

    Bounds for optimal coverings (2004)

    Moreira, Carlos Gustavo Tamm de Araujo; Kohayakawa, Yoshiharu

    Source: Discrete Applied Mathematics. Conference titles: Brazilian Symposium on Graphs, Algorithms and Combinatorics - GRACO. Unidade: IME

    Assunto: COMBINATÓRIA

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      MOREIRA, Carlos Gustavo Tamm de Araujo e KOHAYAKAWA, Yoshiharu. Bounds for optimal coverings. Discrete Applied Mathematics. Amsterdam: Instituto de Matemática e Estatística, Universidade de São Paulo. Disponível em: https://doi.org/10.1016/S0166-218X(03)00372-X. Acesso em: 28 set. 2024. , 2004

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      Moreira, C. G. T. de A., & Kohayakawa, Y. (2004). Bounds for optimal coverings. Discrete Applied Mathematics. Amsterdam: Instituto de Matemática e Estatística, Universidade de São Paulo. doi:10.1016/S0166-218X(03)00372-X

    • NLM

      Moreira CGT de A, Kohayakawa Y. Bounds for optimal coverings [Internet]. Discrete Applied Mathematics. 2004 ; 141( 1-3): 263-276.[citado 2024 set. 28 ] Available from: https://doi.org/10.1016/S0166-218X(03)00372-X

    • Vancouver

      Moreira CGT de A, Kohayakawa Y. Bounds for optimal coverings [Internet]. Discrete Applied Mathematics. 2004 ; 141( 1-3): 263-276.[citado 2024 set. 28 ] Available from: https://doi.org/10.1016/S0166-218X(03)00372-X

  • Artigo de periodico

    Differential simplicity in polynomial rings and algebraic independence of power series (2003)

    Brumatti, Paulo; Lequain, Yves; Levcovitz, Daniel

    Source: Journal of the London Mathematical Society. Unidade: ICMC

    Assunto: ANÉIS E ÁLGEBRAS COMUTATIVOS

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      BRUMATTI, Paulo e LEQUAIN, Yves e LEVCOVITZ, Daniel. Differential simplicity in polynomial rings and algebraic independence of power series. Journal of the London Mathematical Society, v. 68, n. 2, p. 615-630, 2003Tradução . . Disponível em: http://jlms.oxfordjournals.org/cgi/reprint/68/3/615. Acesso em: 28 set. 2024.

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      Brumatti, P., Lequain, Y., & Levcovitz, D. (2003). Differential simplicity in polynomial rings and algebraic independence of power series. Journal of the London Mathematical Society, 68( 2), 615-630. Recuperado de http://jlms.oxfordjournals.org/cgi/reprint/68/3/615

    • NLM

      Brumatti P, Lequain Y, Levcovitz D. Differential simplicity in polynomial rings and algebraic independence of power series [Internet]. Journal of the London Mathematical Society. 2003 ; 68( 2): 615-630.[citado 2024 set. 28 ] Available from: http://jlms.oxfordjournals.org/cgi/reprint/68/3/615

    • Vancouver

      Brumatti P, Lequain Y, Levcovitz D. Differential simplicity in polynomial rings and algebraic independence of power series [Internet]. Journal of the London Mathematical Society. 2003 ; 68( 2): 615-630.[citado 2024 set. 28 ] Available from: http://jlms.oxfordjournals.org/cgi/reprint/68/3/615

  • Artigo de periodico

    A note on the nakai conjecture (2002)

    Brumatti, Paulo; Lequain, Yves; Levcovitz, Daniel ; Simis, Aron

    Source: Proceedings of the American Mathematical Society. Unidade: ICMC

    Assunto: ANÉIS E ÁLGEBRAS COMUTATIVOS

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      BRUMATTI, Paulo et al. A note on the nakai conjecture. Proceedings of the American Mathematical Society, v. 130, n. 1, p. 15-21, 2002Tradução . . Acesso em: 28 set. 2024.

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      Brumatti, P., Lequain, Y., Levcovitz, D., & Simis, A. (2002). A note on the nakai conjecture. Proceedings of the American Mathematical Society, 130( 1), 15-21.

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      Brumatti P, Lequain Y, Levcovitz D, Simis A. A note on the nakai conjecture. Proceedings of the American Mathematical Society. 2002 ; 130( 1): 15-21.[citado 2024 set. 28 ]

    • Vancouver

      Brumatti P, Lequain Y, Levcovitz D, Simis A. A note on the nakai conjecture. Proceedings of the American Mathematical Society. 2002 ; 130( 1): 15-21.[citado 2024 set. 28 ]

  • Artigo de periodico

    Limit velocity for a driven particle in a random medium with mass aggregation (2000)

    Fontes, Luiz Renato ; Neves, Eduardo Jordão; Sidoravicius, Vadlas

    Source: Annales de l'Institut Henri Poincaré - Probabilités et Statistiques. Unidade: IME

    Assunto: MECÂNICA ESTATÍSTICA

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      FONTES, Luiz Renato e NEVES, Eduardo Jordão e SIDORAVICIUS, Vadlas. Limit velocity for a driven particle in a random medium with mass aggregation. Annales de l'Institut Henri Poincaré - Probabilités et Statistiques, v. 36, n. 6, p. 787-805, 2000Tradução . . Disponível em: https://doi.org/10.1016/S0246-0203(00)01059-1. Acesso em: 28 set. 2024.

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      Fontes, L. R., Neves, E. J., & Sidoravicius, V. (2000). Limit velocity for a driven particle in a random medium with mass aggregation. Annales de l'Institut Henri Poincaré - Probabilités et Statistiques, 36( 6), 787-805. doi:10.1016/S0246-0203(00)01059-1

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      Fontes LR, Neves EJ, Sidoravicius V. Limit velocity for a driven particle in a random medium with mass aggregation [Internet]. Annales de l'Institut Henri Poincaré - Probabilités et Statistiques. 2000 ; 36( 6): 787-805.[citado 2024 set. 28 ] Available from: https://doi.org/10.1016/S0246-0203(00)01059-1

    • Vancouver

      Fontes LR, Neves EJ, Sidoravicius V. Limit velocity for a driven particle in a random medium with mass aggregation [Internet]. Annales de l'Institut Henri Poincaré - Probabilités et Statistiques. 2000 ; 36( 6): 787-805.[citado 2024 set. 28 ] Available from: https://doi.org/10.1016/S0246-0203(00)01059-1

  • Artigo de periodico

    The asymmetric simple exclusion model with multiple shocks (2000)

    Ferrari, Pablo Augusto ; Fontes, Luiz Renato ; Vares, Maria Eulália

    Source: Annales de l'Institut Henry Poincaré. Probabilités et Statistiques. Unidade: IME

    Assunto: PROCESSOS ESTOCÁSTICOS

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      FERRARI, Pablo Augusto e FONTES, Luiz Renato e VARES, Maria Eulália. The asymmetric simple exclusion model with multiple shocks. Annales de l'Institut Henry Poincaré. Probabilités et Statistiques, v. 36, n. 2, p. 109-126, 2000Tradução . . Disponível em: https://doi.org/10.1016/S0246-0203(00)00118-7. Acesso em: 28 set. 2024.

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      Ferrari, P. A., Fontes, L. R., & Vares, M. E. (2000). The asymmetric simple exclusion model with multiple shocks. Annales de l'Institut Henry Poincaré. Probabilités et Statistiques, 36( 2), 109-126. doi:10.1016/S0246-0203(00)00118-7

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      Ferrari PA, Fontes LR, Vares ME. The asymmetric simple exclusion model with multiple shocks [Internet]. Annales de l'Institut Henry Poincaré. Probabilités et Statistiques. 2000 ; 36( 2): 109-126.[citado 2024 set. 28 ] Available from: https://doi.org/10.1016/S0246-0203(00)00118-7

    • Vancouver

      Ferrari PA, Fontes LR, Vares ME. The asymmetric simple exclusion model with multiple shocks [Internet]. Annales de l'Institut Henry Poincaré. Probabilités et Statistiques. 2000 ; 36( 2): 109-126.[citado 2024 set. 28 ] Available from: https://doi.org/10.1016/S0246-0203(00)00118-7

  • Artigo de periodico

    Analyticity of the density and exponential decay of correlations in 2-d bootstrap percolation (1996)

    Fontes, Luiz Renato Gonçalves ; Isopi, Marco ; Sidoravićius, Vladas

    Source: Stochastic Processes and their Applications. Unidade: IME

    Subjects: PROCESSOS ALEATÓRIOS, PERCOLAÇÃO

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      FONTES, Luiz Renato Gonçalves e ISOPI, Marco e SIDORAVIĆIUS, Vladas. Analyticity of the density and exponential decay of correlations in 2-d bootstrap percolation. Stochastic Processes and their Applications, v. 62, n. 1, p. 169-178, 1996Tradução . . Disponível em: https://doi.org/10.1016/0304-4149(95)00088-7. Acesso em: 28 set. 2024.

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      Fontes, L. R. G., Isopi, M., & Sidoravićius, V. (1996). Analyticity of the density and exponential decay of correlations in 2-d bootstrap percolation. Stochastic Processes and their Applications, 62( 1), 169-178. doi:10.1016/0304-4149(95)00088-7

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      Fontes LRG, Isopi M, Sidoravićius V. Analyticity of the density and exponential decay of correlations in 2-d bootstrap percolation [Internet]. Stochastic Processes and their Applications. 1996 ; 62( 1): 169-178.[citado 2024 set. 28 ] Available from: https://doi.org/10.1016/0304-4149(95)00088-7

    • Vancouver

      Fontes LRG, Isopi M, Sidoravićius V. Analyticity of the density and exponential decay of correlations in 2-d bootstrap percolation [Internet]. Stochastic Processes and their Applications. 1996 ; 62( 1): 169-178.[citado 2024 set. 28 ] Available from: https://doi.org/10.1016/0304-4149(95)00088-7

  • Artigo de periodico

    Nonequilibrium fluctuations for a zero range process (1988)

    Ferrari, Pablo Augusto ; Presutti, Errico; Vares, Maria Eulalia

    Source: Annales Institut Henri Poincare Probabilites et Statistiques. Unidade: IME

    Subjects: PROCESSOS ESTOCÁSTICOS ESPECIAIS, MECÂNICA ESTATÍSTICA, SISTEMAS MARKOVIANOS DE PARTÍCULAS

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      FERRARI, Pablo Augusto e PRESUTTI, Errico e VARES, Maria Eulalia. Nonequilibrium fluctuations for a zero range process. Annales Institut Henri Poincare Probabilites et Statistiques, v. 24, n. 2 , p. 237-68, 1988Tradução . . Disponível em: http://www.numdam.org/article/AIHPB_1988__24_2_237_0.pdf. Acesso em: 28 set. 2024.

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      Ferrari, P. A., Presutti, E., & Vares, M. E. (1988). Nonequilibrium fluctuations for a zero range process. Annales Institut Henri Poincare Probabilites et Statistiques, 24( 2 ), 237-68. Recuperado de http://www.numdam.org/article/AIHPB_1988__24_2_237_0.pdf

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      Ferrari PA, Presutti E, Vares ME. Nonequilibrium fluctuations for a zero range process [Internet]. Annales Institut Henri Poincare Probabilites et Statistiques. 1988 ; 24( 2 ): 237-68.[citado 2024 set. 28 ] Available from: http://www.numdam.org/article/AIHPB_1988__24_2_237_0.pdf

    • Vancouver

      Ferrari PA, Presutti E, Vares ME. Nonequilibrium fluctuations for a zero range process [Internet]. Annales Institut Henri Poincare Probabilites et Statistiques. 1988 ; 24( 2 ): 237-68.[citado 2024 set. 28 ] Available from: http://www.numdam.org/article/AIHPB_1988__24_2_237_0.pdf
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