Zobrazeno 1 - 10
of 1 287
pro vyhledávání: '"Sere, A."'
Autor:
Doumbouya, Moussa Koulako Bala, Diané, Baba Mamadi, Cissé, Solo Farabado, Diané, Djibrila, Sow, Abdoulaye, Doumbouya, Séré Moussa, Bangoura, Daouda, Bayo, Fodé Moriba, Condé, Ibrahima Sory 2., Diané, Kalo Mory, Piech, Chris, Manning, Christopher
Currently, there is no usable machine translation system for Nko, a language spoken by tens of millions of people across multiple West African countries, which holds significant cultural and educational value. To address this issue, we present a set
Externí odkaz:
http://arxiv.org/abs/2310.15612
Autor:
Ekeland, Ivar, Séré, Éric
Publikováno v:
Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 35 (2024), no. 1, pp. 1--15
In this paper we prove a local surjection theorem with continuous right-inverse for maps between Banach spaces, and we apply it to a class of inversion problems with loss of derivatives.
Comment: Dedicated to the memory of Antonio Ambrosetti. To
Comment: Dedicated to the memory of Antonio Ambrosetti. To
Externí odkaz:
http://arxiv.org/abs/2309.16906
In this paper we consider stationary states of the SSH model for infinite polyacetylene chains that are homoclinic or heteroclinic connections between two-periodic dimerized states. We prove that such connections converge exponentially fast to the co
Externí odkaz:
http://arxiv.org/abs/2308.00145
Publikováno v:
Archive for Rational Mechanics and Analysis 248 (2024), issue 4, article 63
Whereas many different models exist in the mathematical and physics literature for ground states of non-relativistic crystals, the relativistic case has been much less studied and we are not aware of any mathematical result on a fully relativistic tr
Externí odkaz:
http://arxiv.org/abs/2212.01142
Autor:
Séré, Eric
Publikováno v:
Communications in Mathematical Physics 404 (2023), no. 3, pp. 1275-1307
The Dirac-Fock (DF) model replaces the Hartree-Fock (HF) approximation in quantum chemistry when relativistic effects cannot be neglected. Since the Dirac operator is not bounded from below, the notion of ground state is problematic in this model, an
Externí odkaz:
http://arxiv.org/abs/2211.10196
Publikováno v:
Annales Henri Poincar\'e 24 (2023), no. 11, pp. 3945--3966
We consider the Peierls model for closed polyactetylene chains with an even number of carbon atoms as well as infinite chains, in the presence of temperature. We prove the existence of a critical temperature below which the chain is dimerized, and ab
Externí odkaz:
http://arxiv.org/abs/2211.09588
Publikováno v:
J. Spectr. Theory 13 (2023), no. 2, pp. 491-524
We consider a linear symmetric operator in a Hilbert space that is neither bounded from above nor from below, admits a block decomposition corresponding to an orthogonal splitting of the Hilbert space and has a variational gap property associated wit
Externí odkaz:
http://arxiv.org/abs/2206.11679
Publikováno v:
J. Funct. Anal. 174 (2000), p. 208-226
This paper is devoted to a general min-max characterization of the eigenvalues in a gap of the essential spectrum of a self-adjoint unbounded operator. We prove an abstract theorem, then we apply it to the case of Dirac operators with a Coulomb-like
Externí odkaz:
http://arxiv.org/abs/2206.06327
Publikováno v:
In: Morel, JM., Teissier, B. (eds) Mathematics Going Forward, LNM 2313 (2023), pp. 487--497
In this article we formulate several conjectures concerning the lowest eigenvalue of a Dirac operator with an external electrostatic potential. The latter describes a relativistic quantum electron moving in the field of some (pointwise or extended) n
Externí odkaz:
http://arxiv.org/abs/2203.13484
Autor:
Tanou Valdez, Bah, Mory, Guilao, Aboubacar Kadiatou, Camara, Salifou Talasson, Bangoura, Mohamed Kerfala, Camara, Séré, Diane, Mohamed Sahar, Traoré, Elhadj Saidou, Balde
Publikováno v:
In Journal of King Saud University - Science October 2024 36(9)
