Zobrazeno 1 - 10
of 20
pro vyhledávání: '"N. Abarenkova"'
Publikováno v:
Advances in Mathematical Physics, Vol 2010 (2010)
We give an example of infinite-order rational transformation that leaves a linear differential equation covariant. This example can be seen as a nontrivial but still simple illustration of an exact representation of the renormalization group.
Externí odkaz:
https://doaj.org/article/92511522b68143ab920b85561879ebb6
Publikováno v:
Physica A: Statistical Mechanics and its Applications. 281:151-172
We consider a family of birational transformations of two variables, depending on one parameter, for which simple rational expressions with integer coefficients, for the exact expression of the dynamical zeta function, have been conjectured. Moreover
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::96e7f1d90be1fdefb1eade9d217e33a8
https://doi.org/10.1016/s0378-4371(00)00020-0
https://doi.org/10.1016/s0378-4371(00)00020-0
Publikováno v:
Physics Letters A. 262:44-49
To test a possible relation between topological entropy and Arnold complexity, and to provide a nontrivial examples of rational dynamical zeta functions, we introduce a two-parameter family of discrete birational mappings of two complex variables. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c6e74bc553f111d8dbecc4cbbb653f8d
https://doi.org/10.1016/s0375-9601(99)00662-3
https://doi.org/10.1016/s0375-9601(99)00662-3
Publikováno v:
Physica D: Nonlinear Phenomena
Physica D: Nonlinear Phenomena, Elsevier, 1999, 130 (1-2), pp.27-42. ⟨10.1016/S0167-2789(99)00014-7⟩
Physica D: Nonlinear Phenomena, Elsevier, 1999, 130 (1-2), pp.27-42. ⟨10.1016/S0167-2789(99)00014-7⟩
We first study birational mappings generated by the composition of the matrix inversion and of a permutation of the entries of $ 3 \times 3 $ matrices. We introduce a semi-numerical analysis which enables to compute the Arnold complexities for all th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::951de6e80a686b368655d11d3121f1f0
https://doi.org/10.1016/s0167-2789(99)00014-7
https://doi.org/10.1016/s0167-2789(99)00014-7
Publikováno v:
The European Physical Journal B. 5:647-661
We study birational mappings generated by matrix inversion and permutations of the entries of matrices. For q=3 we have performed a systematic examination of all the birational mappings associated with permutations of matrices in order to find integr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::744780594af83fca970a6a8f8408aab7
https://doi.org/10.1007/s100510050488
https://doi.org/10.1007/s100510050488
Autor:
Jacques-Arthur Weil, J.-M. Maillard, N. Abarenkova, N. Zenine, Alin Bostan, S. Hassani, S. Boukraa
Publikováno v:
Advances in Mathematical Physics
Advances in Mathematical Physics, Hindawi Publishing Corporation, 2010, 2010 (Article ID 941560), 44 p. ⟨10.1155/2010/941560⟩
Advances in Mathematical Physics, Vol 2010 (2010)
Advances in Mathematical Physics, Hindawi Publishing Corporation, 2010, 2010 (Article ID 941560), 44 p. ⟨10.1155/2010/941560⟩
Advances in Mathematical Physics, Vol 2010 (2010)
We give an example of infinite order rational transformation that leaves a linear differential equation covariant. This example can be seen as a non-trivial but still simple illustration of an exact representation of the renormalization group.
C
C
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::16ce894688fdfd6539ee17561055d060
We consider a family of birational transformations of two variables, depending on one parameter, for which simple rational expressions with integer coefficients, for the exact expression of the dynamical zeta function, have been conjectured. together
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c2fa18b81fa4b4591bf7d5fff58451dc
http://arxiv.org/abs/chao-dyn/9906010
http://arxiv.org/abs/chao-dyn/9906010
Publikováno v:
Physica A: Statistical Mechanics and its Applications
Physica A: Statistical Mechanics and its Applications, Elsevier, 1999, 264 (1-2), pp.264-293. ⟨10.1016/S0378-4371(98)00452-X⟩
Physica A: Statistical Mechanics and its Applications, 1999, 264 (1-2), pp.264-293. ⟨10.1016/S0378-4371(98)00452-X⟩
Physica A: Statistical Mechanics and its Applications, Elsevier, 1999, 264 (1-2), pp.264-293. ⟨10.1016/S0378-4371(98)00452-X⟩
Physica A: Statistical Mechanics and its Applications, 1999, 264 (1-2), pp.264-293. ⟨10.1016/S0378-4371(98)00452-X⟩
We propose a conjecture for the exact expression of the dynamical zeta function for a family of birational transformations of two variables, depending on two parameters. This conjectured function is a simple rational expression with integer coefficie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::898cc096718b016e8a2353db1b102460
https://hal.archives-ouvertes.fr/hal-02340554
https://hal.archives-ouvertes.fr/hal-02340554
Publikováno v:
Physica A: Statistical Mechanics and its Applications
Physica A: Statistical Mechanics and its Applications, Elsevier, 1997, 237 (1-2), pp.123-134. ⟨10.1016/S0378-4371(96)00389-5⟩
Physica A: Statistical Mechanics and its Applications, Elsevier, 1997, 237 (1-2), pp.123-134. ⟨10.1016/S0378-4371(96)00389-5⟩
We study birational mappings generated by matrix inversion and permutation of the entries of q × q matrices. For q = 3 we have performed a systematic examination of all the permutations of 3 × 3 matrices in order to find integrable mappings (of thr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7f0e734b6f1f6168d2df6998a23341d9
https://hal.archives-ouvertes.fr/hal-02340562
https://hal.archives-ouvertes.fr/hal-02340562
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