Zobrazeno 1 - 10
of 40
pro vyhledávání: '"David Sauzin"'
We consider the minimal average action (Mather's β function) for area preserving twist maps of the annulus. The regularity properties of this function share interesting relations with the dynamics of the system. We prove that the β-function associa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::23dc403eef593cd171a2352d6ee107c6
http://hdl.handle.net/11568/1103865
http://hdl.handle.net/11568/1103865
Publikováno v:
Bulletin de la société mathématique de France
Bulletin de la société mathématique de France, Société Mathématique de France, 2018, 146 (2), pp.241-285. ⟨10.24033/bsmf.2757⟩
Bulletin de la société mathématique de France, Société Mathématique de France, 2018, 146 (2), pp.241-285. ⟨10.24033/bsmf.2757⟩
DOI : 10.24033/bsmf.2757; International audience; We explain Ecalle's ''arbomould formalism'' in its simplest instance, showing how it allows one to give explicit formulas for the operators naturally attached to a germ of holomorphic map in one dimen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8e0a40cd221b6b1ac1bfd3ee405c3b5b
https://doi.org/10.24033/bsmf.2757
https://doi.org/10.24033/bsmf.2757
Autor:
David Sauzin, Shingo Kamimoto
Publikováno v:
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Scuola Normale Superiore 2020, 20 (1), pp.177-215. ⟨10.2422/2036-2145.201708_008⟩
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2020, 20 (1), pp.177-215. ⟨10.2422/2036-2145.201708_008⟩
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Scuola Normale Superiore 2020, 20 (1), pp.177-215. ⟨10.2422/2036-2145.201708_008⟩
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2020, 20 (1), pp.177-215. ⟨10.2422/2036-2145.201708_008⟩
We discuss a version of \'Ecalle's definition of resurgence, based on the notion of endless continuability in the Borel plane. We relate this with the notion of \Omega-continuability, where \Omega\ is a discrete filtered set, and show how to construc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::92fdae0cd265c47108625ccc86c809f5
https://hal.archives-ouvertes.fr/hal-01383023v3/file/KS_main_30Mar2018.pdf
https://hal.archives-ouvertes.fr/hal-01383023v3/file/KS_main_30Mar2018.pdf
A wandering domain for a diffeomorphism $\Psi $ of $\mathbb A^n=T^•\mathbb T^n$ is an open connected set $W$ such that $\Psi ^k(W)\cap W=\emptyset $ for all $k\in \mathbb Z^•$. The authors endow $\mathbb A^n$ with its usual exact symplectic struc
Autor:
David Sauzin, Bassam Fayad
Publikováno v:
Archive for Rational Mechanics and Analysis
Archive for Rational Mechanics and Analysis, Springer Verlag, In press
Archive for Rational Mechanics and Analysis, Springer Verlag, 2020, 237 (3), pp.1177-1211. ⟨10.1007/s00205-020-01526-2⟩
Archive for Rational Mechanics and Analysis, 2020, 237 (3), pp.1177-1211. ⟨10.1007/s00205-020-01526-2⟩
Archive for Rational Mechanics and Analysis, Springer Verlag, In press
Archive for Rational Mechanics and Analysis, Springer Verlag, 2020, 237 (3), pp.1177-1211. ⟨10.1007/s00205-020-01526-2⟩
Archive for Rational Mechanics and Analysis, 2020, 237 (3), pp.1177-1211. ⟨10.1007/s00205-020-01526-2⟩
When a Gevrey smooth perturbation is applied to a quasi-convex integrable Hamiltonian, it is known that the KAM invariant tori that survive are sticky, that is, doubly exponentially stable. We show by examples the optimality of this effective stabili
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7f2a45d8a2c6139eb6e68d753822337d
https://hal.archives-ouvertes.fr/hal-02415201
https://hal.archives-ouvertes.fr/hal-02415201
Publikováno v:
Memoirs of the American Mathematical Society
Memoirs of the American Mathematical Society, American Mathematical Society, 2019, 257 (1235), vi+110 pp
Memoirs of the American Mathematical Society, American Mathematical Society, 2019, 257 (1235), vi+110 pp
DOI: https://doi.org/10.1090/memo/1235; International audience; A wandering domain for a diffeomorphism is an open connected set whose iterates are pairwise disjoint. We endow A^n = T^n x R^n with its usual exact symplectic structure. An integrable d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f78838ee586f57eadab9a044be838eb7
https://hal.archives-ouvertes.fr/hal-01172729/document
https://hal.archives-ouvertes.fr/hal-01172729/document
Publikováno v:
Letters in Mathematical Physics
Letters in Mathematical Physics, 2019, 109, pp.725-746. ⟨10.1007/s11005-018-1125-5⟩
Letters in Mathematical Physics, Springer Verlag, 2019, 109, pp.725-746. ⟨10.1007/s11005-018-1125-5⟩
Letters in Mathematical Physics, 2019, 109, pp.725-746. ⟨10.1007/s11005-018-1125-5⟩
Letters in Mathematical Physics, Springer Verlag, 2019, 109, pp.725-746. ⟨10.1007/s11005-018-1125-5⟩
The well-known Baker–Campbell–Hausdorff theorem in Lie theory says that the logarithm of a noncommutative product $$\text {e}^X \text {e}^Y$$ can be expressed in terms of iterated commutators of X and Y. This paper provides a gentle introduction
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca747858b549d9ad33e05347a89ebd4d
https://hal.science/hal-01782302/document
https://hal.science/hal-01782302/document
Autor:
Artem Dudko, David Sauzin
Publikováno v:
Comptes Rendus Mathematique. 353:265-271
Given a holomorphic germ at the origin of C with a simple parabolic fixed point, the Fatou coordinates have a common asymptotic expansion whose formal Borel transform is resurgent. We show how to use Ecalle's alien operators to study the singularitie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2179b3d9eb52d9c67c60d3d7df0135d7
https://doi.org/10.1016/j.crma.2014.11.003
https://doi.org/10.1016/j.crma.2014.11.003
This book is issued from a conference around resurgent functions in Physics and multiple zetavalues, which was held at the Centro di Ricerca Matematica Ennio de Giorgi in Pisa, on May 18-22, 2015. This meeting originally stemmed from the impressive u
Publikováno v:
Letters in Mathematical Physics
Letters in Mathematical Physics, Springer Verlag, 2018, 108 (7), pp.1583-1600. ⟨10.1007/s11005-017-1040-1⟩
Lett.Math.Phys.
Lett.Math.Phys., 2018, 108 (7), pp.1583-1600. 〈10.1007/s11005-017-1040-1〉
Letters in Mathematical Physics, 2018, 108 (7), pp.1583-1600. ⟨10.1007/s11005-017-1040-1⟩
Letters in Mathematical Physics, Springer Verlag, 2018, 108 (7), pp.1583-1600. ⟨10.1007/s11005-017-1040-1⟩
Lett.Math.Phys.
Lett.Math.Phys., 2018, 108 (7), pp.1583-1600. 〈10.1007/s11005-017-1040-1〉
Letters in Mathematical Physics, 2018, 108 (7), pp.1583-1600. ⟨10.1007/s11005-017-1040-1⟩
International audience; We derive new expressions for the Rayleigh-Schr\"odinger seriesdescribing the perturbation of eigenvalues of quantumHamiltonians. The method, somehow close to the so-called dimensionalrenormalization in quantum field theory, i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f06bd2316bed79e75a813b474b779b03
https://hal.archives-ouvertes.fr/hal-01351108
https://hal.archives-ouvertes.fr/hal-01351108