Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Raphael Ducatez"'
Publikováno v:
Communications in Mathematical Physics
We analyse the eigenvectors of the adjacency matrix of a critical Erdős–Rényi graph $${\mathbb {G}}(N,d/N)$$ G ( N , d / N ) , where d is of order $$\log N$$ log N . We show that its spectrum splits into two phases: a delocalized phase in the mid
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c241118398aa0409f19b930eeb7baa08
http://europepmc.org/articles/PMC8550299
http://europepmc.org/articles/PMC8550299
Publikováno v:
The Annals of Probability. 49
We complete the analysis of the extremal eigenvalues of the adjacency matrix A of the Erdős–Renyi graph G(N,d/N) in the critical regime d≍logN of the transition uncovered in (Ann. Inst. Henri Poincare Probab. Stat. 56 (2020) 2141–2161; Ann. Pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c04b1a96bf92b75d3790a4c38a5182f
https://doi.org/10.1214/20-aop1483
https://doi.org/10.1214/20-aop1483
Autor:
Raphael Ducatez
Publikováno v:
Journal of Spectral Theory. 8:1019-1050
We prove the occurrence of Anderson localisation for a system of infinitely many particles interacting with a short range potential, within the ground state Hartree-Fock approximation. We assume that the particles hop on a discrete lattice and that t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1b618d452f6faaf3d3fbfc3bf147367b
https://doi.org/10.4171/jst/221
https://doi.org/10.4171/jst/221
Autor:
Raphael Ducatez
Publikováno v:
Electron. Commun. Probab.
Electronic Communications in Probability
Electronic Communications in Probability
We give a new expression for the law of the eigenvalues of the discrete Anderson model on the finite interval $[1,N]$, in terms of two random processes starting at both ends of the interval. Using this formula, we deduce that the tail of the eigenvec
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d2e5365ddb053fce64df429d31ba2b11
https://projecteuclid.org/euclid.ecp/1573095648
https://projecteuclid.org/euclid.ecp/1573095648
Autor:
Raphael Ducatez, François Huveneers
Publikováno v:
Annales Henri Poincaré
Annales Henri Poincaré, Springer Verlag, 2017, ⟨10.1007/s00023-017-0574-1⟩
Annales Henri Poincaré, Springer Verlag, 2017, ⟨10.1007/s00023-017-0574-1⟩
We study the persistence of localization for a strongly disordered tight-binding Anderson model on the lattice $${\mathbb Z}^d$$ , periodically driven on each site. Under two different sets of conditions on the driving, we show that Anderson localiza
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::68836465a97dac13b5c8deffac3dc105
https://hal.archives-ouvertes.fr/hal-01524452
https://hal.archives-ouvertes.fr/hal-01524452