Chaoticité de l'opérateur de Gribov dans l'espace de Bargmann

DOI10.1016/S0764-4442(00)01710-9zbMath0966.37009OpenAlexW2049599127MaRDI QIDQ2704638

Andrée Decarreau, Abdelkader Intissar, Hassan Emamirad

Publication date: 7 May 2001

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(00)01710-9

zbMATH Keywords

Bargmann spacechaoticity of the annihilation operator

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) General theory of linear operators (47A99) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Special classes of linear operators (47B99)

Related Items

Chaotic behavior of the Riesz transforms for Hermite expansions ⋮ A note on the completeness of generalized eigenfunctions of the Hamiltonian of Reggeon field theory in Bargmann space ⋮ On a chaotic weighted shift \(z^pd^{p+1}/dz^{p+1}\) of order \(p\) in Bargmann space ⋮ Dynamics of shift operators on non-metrizable sequence spaces ⋮ On the chaoticity of some tensor product weighted backward shift operators acting on some tensor product Fock-Bargmann spaces ⋮ On chaoticity of the sum of chaotic shifts with their adjoints in Hilbert space and applications to some weighted shifts acting on some Fock-Bargmann spaces ⋮ Approximation of the semigroup generated by the Hamiltonian of Reggeon field theory in Bargmann space ⋮ A complete spectral analysis of generalized Gribov-Intissar's operator in Bargmann space ⋮ CHAOS FOR BACKWARD SHIFT OPERATORS