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1
D V Anosov ,
Geodesic flows on
closed Riemannian manifolds of negative curvature ,
Trudy Mat. Inst. Steklov. 90 (1967) 209 MR224110
2
V I Arnold ,
B A Khesin , Topological methods
in hydrodynamics , 125, Springer (1998) MR1612569
3
V Baladi , Anisotropic Sobolev
spaces and dynamical transfer operators : C ∞
foliations , from: "Algebraic and topological dynamics"
(editors S Kolyada, Y Manin, T Ward), Contemp. Math. 385, Amer.
Math. Soc. (2005) 123 MR2180233
4
V Baladi , M
Tsujii , Anisotropic Hölder and
Sobolev spaces for hyperbolic diffeomorphisms , Ann.
Inst. Fourier (Grenoble) 57 (2007) 127 MR2313087
5
M Blank , G
Keller , C Liverani , Ruelle–Perron–Frobenius
spectrum for Anosov maps , Nonlinearity 15 (2002) 1905
MR1938476
6
Y G Bonthonneau ,
Perturbation of
Ruelle resonances and Faure–Sjöstrand anisotropic
space , Rev. Un. Mat. Argentina 61 (2020) 63 MR4126207
7
M Cekić , T
Lefeuvre , Generic injectivity of
the X-ray transform , J. Differential Geom. 129 (2025)
261 MR4859113
8
M Cekić , G P
Paternain , Resonant spaces for
volume-preserving Anosov flows , Pure Appl. Anal. 2
(2020) 795 MR4229226
9
M Cekić , G P
Paternain , Quasi-Fuchsian flows and the coupled vortex
equations , preprint (2025) arXiv:2501.10591
10
S Coles , R
Sharp , Helicity, linking
and the distribution of null-homologous periodic orbits for
Anosov flows , Nonlinearity 36 (2023) 21 MR4512749
11
G Contreras ,
Average
linking numbers of closed orbits of hyperbolic flows ,
J. London Math. Soc. 51 (1995) 614 MR1332896
12
N V Dang , G
Rivière , Poincaré series
and linking of Legendrian knots , Duke Math. J. 173
(2024) 1 MR4728176
13
S Dyatlov , M
Zworski , Dynamical zeta functions
for Anosov flows via microlocal analysis , Ann. Sci. Éc.
Norm. Supér. 49 (2016) 543 MR3503826
14
S Dyatlov , M
Zworski , Ruelle zeta
function at zero for surfaces , Invent. Math. 210 (2017)
211 MR3698342
15
S Dyatlov , M
Zworski , Mathematical theory of
scattering resonances , 200, Amer. Math. Soc. (2019)
MR3969938
16
S Dyatlov , F
Faure , C Guillarmou , Power spectrum of the
geodesic flow on hyperbolic manifolds , Anal. PDE 8
(2015) 923 MR3366007
17
F Faure , J
Sjöstrand , Upper bound on the
density of Ruelle resonances for Anosov flows , Comm.
Math. Phys. 308 (2011) 325 MR2851145
18
F Faure , M
Tsujii , Micro-local analysis of
contact Anosov flows and band structure of the Ruelle
spectrum , Commun. Am. Math. Soc. 4 (2024) 641 MR4840241
19
J Franks , B
Williams , Anomalous Anosov
flows , from: "Global theory of dynamical systems"
(editors Z Nitecki, C Robinson), Lecture Notes in Math. 819,
Springer (1980) 158 MR591182
20
É Ghys , Déformations de flots
d’Anosov et de groupes fuchsiens , Ann. Inst. Fourier
(Grenoble) 42 (1992) 209 MR1162561
21
É Ghys , Rigidité différentiable
des groupes fuchsiens , Inst. Hautes Études Sci. Publ.
Math. 78 (1993) 163 MR1259430
22
P Giulietti , C
Liverani , M Pollicott , Anosov flows and
dynamical zeta functions , Ann. of Math. 178 (2013) 687
MR3071508
23
C Guillarmou , F
Faure , Horocyclic
invariance of Ruelle resonant states for contact Anosov flows
in dimension 3 , Math. Res.
Lett. 25 (2018) 1405 MR3917733
24
C Guillarmou , J
Hilgert , T Weich , Classical and
quantum resonances for hyperbolic surfaces , Math. Ann.
370 (2018) 1231 MR3770166
25
R S Hamilton ,
The inverse
function theorem of Nash and Moser , Bull. Amer. Math.
Soc. 7 (1982) 65 MR656198
26
B Hasselblatt ,
Regularity of the
Anosov splitting and of horospheric foliations , Ergodic
Theory Dynam. Systems 14 (1994) 645 MR1304137
27
L Hörmander ,
Pseudo-differential
operators , Comm. Pure Appl. Math. 18 (1965) 501
MR180740
28
L Hörmander ,
The
analysis of linear partial differential operators, I :
Distribution theory and Fourier analysis , Springer
(2003) MR1996773
29
L Hörmander ,
The
analysis of linear partial differential operators, III :
Pseudo-differential operators , Springer (2007) MR2304165
30
S Hurder , A
Katok , Differentiability,
rigidity and Godbillon–Vey classes for Anosov flows ,
Inst. Hautes Études Sci. Publ. Math. 72 (1990) 5 MR1087392
31
D Kotschick , T
Vogel , Linking numbers of
measured foliations , Ergodic Theory Dynam. Systems 23
(2003) 541 MR1972238
32
B Küster , T
Weich , Pollicott–Ruelle
resonant states and Betti numbers , Comm. Math. Phys.
378 (2020) 917 MR4134938
33
S P Lalley ,
Distribution of
periodic orbits of symbolic and Axiom A flows , Adv. in
Appl. Math. 8 (1987) 154 MR886923
34
S Lang , Fundamentals of
differential geometry , 191, Springer (1999) MR1666820
35
J M Lee ,
Introduction to
Riemannian manifolds , 176, Springer (2018) MR3887684
36
C Liverani ,
On
contact Anosov flows , Ann. of Math. 159 (2004) 1275
MR2113022
37
R de la Llave ,
J M Marco , R Moriyón , Canonical perturbation theory
of Anosov systems and regularity results for the Livšic
cohomology equation , Ann. of Math. 123 (1986) 537
MR840722
38
T Marty , Skewed
Anosov flows are orbit equivalent to Reeb–Anosov flows in
dimension 3 , preprint (2023) arXiv:2301.00842
39
R B Melrose ,
Introduction to
microlocal analysis , book draft (2003)
40
W Merry , G P
Paternain , Inverse
problems in geometry and dynamics , lecture notes
(2011)
41
U Neri , The integrable kernels of
certain pseudo-differential operators , Math. Ann. 186
(1970) 155 MR261143
42
G P Paternain ,
Regularity of weak
foliations for thermostats , Nonlinearity 20 (2007) 87
MR2285106
43
J F Plante ,
Anosov
flows, transversely affine foliations, and a conjecture of
Verjovsky , J. London Math. Soc. 23 (1981) 359 MR609116
44
P Przytycki ,
M P Wojtkowski , Gaussian
thermostats as geodesic flows of nonsymmetric linear
connections , Comm. Math. Phys. 277 (2008) 759 MR2365452
45
D Ruelle , Positivity of entropy
production in nonequilibrium statistical mechanics , J.
Statist. Phys. 85 (1996) 1 MR1413234
46
D Ruelle , Differentiation of
SRB states for hyperbolic flows , Ergodic Theory Dynam.
Systems 28 (2008) 613 MR2408395
47
S Schwartzman ,
Asymptotic
cycles , Ann. of Math. 66 (1957) 270 MR88720
48
R Sharp , Prime orbit theorems with
multi-dimensional constraints for Axiom A flows ,
Monatsh. Math. 114 (1992) 261 MR1203975
49
R Sharp , Closed orbits in
homology classes for Anosov flows , Ergodic Theory
Dynam. Systems 13 (1993) 387 MR1235480
50
I M Singer ,
J A Thorpe , Lecture notes on
elementary topology and geometry , Springer (1976)
MR413152
51
M E Taylor ,
Partial
differential equations, III : Nonlinear equations , 117,
Springer (1997) MR1477408
52
M Tsujii , On
cohomological theory of dynamical zeta functions , preprint
(2018) arXiv:1805.11992
53
T Vogel , On the
asymptotic linking number , Proc. Amer. Math. Soc. 131
(2003) 2289 MR1963779
54
T Weich , On the support of
Pollicott–Ruelle resonanant states for Anosov flows ,
Ann. Henri Poincaré 18 (2017) 37 MR3592089
55
M P Wojtkowski ,
W -flows on Weyl manifolds and Gaussian
thermostats , J. Math. Pures Appl. 79 (2000) 953
MR1801870
56
L S Young ,
What are
SRB measures, and which dynamical systems have them ? ,
J. Statist. Phys. 108 (2002) 733 MR1933431
57
M Zworski , Semiclassical
analysis , 138, Amer. Math. Soc. (2012) MR2952218