Differentiation of SRB states for hyperbolic flows
| dc.creator | Ruelle, David | |
| dc.date | 2004-08-07 | |
| dc.date.accessioned | 2026-07-07T05:11:06Z | |
| dc.date.available | 2026-07-07T05:11:06Z | |
| dc.description | Let the ${\cal C}^3$ vector field ${\cal X}+aX$ on $M$ define a flow $(f^t_a)$ with an Axiom A attractor $Λ_a$ depending continuously on $a\in(-ε,ε)$. Let $ρ_a$ be the SRB measure on $Λ_a$ for $(f^t_a)$. If $A\in{\cal C}^2(M)$, then $a\mapstoρ_a(A)$ is ${\cal C}^1$ on $(-ε,ε)$ and $dρ_a(A)/da$ is the limit when $ω\to0$ with ${\rm Im}ω>0$ of $$ \int_0^\infty e^{iωt}dt \intρ_a(dx) X(x)\cdot\nabla_x(A\circ f_a^t) $$ | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/math/0408097 | |
| dc.identifier | http://arxiv.org/abs/math/0408097 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72131 | |
| dc.subject | Dynamical Systems | |
| dc.title | Differentiation of SRB states for hyperbolic flows | |
| dc.type | text |