Some rigidity results for polynomial automorphisms of C^2 | Paper Citation Record

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This paper cites Introduction to smooth ergodic theory , volume 231 of Graduate Studies in Mathematics.

Some rigidity results for polynomial automorphisms of C^2 Introduction to smooth ergodic theory , volume 231 of Graduate Studies in Mathematics

Reference 1

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This paper cites Topological and geometric hyperbolicity criteria for polynomial automor- phisms of C2.

Some rigidity results for polynomial automorphisms of C^2 Topological and geometric hyperbolicity criteria for polynomial automor- phisms of C2

Reference 2

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This paper cites Hyperbolicity and quasi-hyperbolicity in polynomial diffeo- morphisms of C2.

Some rigidity results for polynomial automorphisms of C^2 Hyperbolicity and quasi-hyperbolicity in polynomial diffeo- morphisms of C2

Reference 3

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This paper cites No smooth Julia sets for polynomial diffeomorphisms of C2 with positive entropy.

Some rigidity results for polynomial automorphisms of C^2 No smooth Julia sets for polynomial diffeomorphisms of C2 with positive entropy

Reference 4

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This paper cites Julia sets for polynomial diffeomorphisms of C2 are not semianalytic.

Some rigidity results for polynomial automorphisms of C^2 Julia sets for polynomial diffeomorphisms of C2 are not semianalytic

Reference 5

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This paper cites Distribution of periodic points of polynomial diffeomor- phisms of C2.

Some rigidity results for polynomial automorphisms of C^2 Distribution of periodic points of polynomial diffeomor- phisms of C2

Reference 6

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Observation 04114f57-aef2-4c14-b1c6-a1aa3222d660 · outbound

This paper cites Polynomial diffeomorphisms of C2.

Some rigidity results for polynomial automorphisms of C^2 Polynomial diffeomorphisms of C2

Reference 7

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This paper cites Polynomial diffeomorphisms of C2: currents, equilibrium measure and hyper- bolicity.

Some rigidity results for polynomial automorphisms of C^2 Polynomial diffeomorphisms of C2: currents, equilibrium measure and hyper- bolicity

Reference 8

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Observation d7a9143f-aac1-4096-8483-8db332558227 · outbound

This paper cites Polynomial diffeomorphisms of C2.

Some rigidity results for polynomial automorphisms of C^2 Polynomial diffeomorphisms of C2

Reference 9

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Observation c6dcdda2-2e25-4323-8664-d923cfcd924b · outbound

This paper cites Polynomial diffeomorphisms of C2.

Some rigidity results for polynomial automorphisms of C^2 Polynomial diffeomorphisms of C2

Reference 10

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This paper cites Polynomial diffeomorphisms of C2.

Some rigidity results for polynomial automorphisms of C^2 Polynomial diffeomorphisms of C2

Reference 11

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This paper cites Polynomial diffeomorphisms of C2.

Some rigidity results for polynomial automorphisms of C^2 Polynomial diffeomorphisms of C2

Reference 12

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This paper cites Real polynomial diffeomorphisms with maximal entropy: Tangencies.

Some rigidity results for polynomial automorphisms of C^2 Real polynomial diffeomorphisms with maximal entropy: Tangencies

Reference 13

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Observation e5d4e53d-82bb-4d6a-abac-884d6e94f40e · outbound

This paper cites On stability and hyperbolicity for polynomial automorphisms of C2.

Some rigidity results for polynomial automorphisms of C^2 On stability and hyperbolicity for polynomial automorphisms of C2

Reference 14

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This paper cites Minimal models of foliated algebraic surfaces.Bull.

Some rigidity results for polynomial automorphisms of C^2 Minimal models of foliated algebraic surfaces.Bull

Reference 15

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Observation a4eebdcb-2cc8-4e46-97de-0087161b36f9 · outbound

This paper cites Buzzard, Suzanne Lynch Hruska, and Yulij Ilyashenko.

Some rigidity results for polynomial automorphisms of C^2 Buzzard, Suzanne Lynch Hruska, and Yulij Ilyashenko

Reference 16

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Observation a2be2b66-24b1-4d19-bd28-ecf9af57eed4 · outbound

This paper cites Dynamique des automorphismes des surfaces K3.

Some rigidity results for polynomial automorphisms of C^2 Dynamique des automorphismes des surfaces K3

Reference 17

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Observation f01fdc14-9cb5-4eb4-a0d2-acbf5024ed13 · outbound

This paper cites Bers and H ´enon, Painlev´e and Schr¨odinger.

Some rigidity results for polynomial automorphisms of C^2 Bers and H ´enon, Painlev´e and Schr¨odinger

Reference 18

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Observation d4c1e131-deae-4712-ad14-4cfcc7cead37 · outbound

This paper cites Holomorphically conjugate polynomial automorphisms of C2 are polyno- mially conjugate.

Some rigidity results for polynomial automorphisms of C^2 Holomorphically conjugate polynomial automorphisms of C2 are polyno- mially conjugate

Reference 19

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Observation f7171eae-5894-4814-b1f9-caff932a7887 · outbound

This paper cites Dynamics on character varieties and Malgrange irreducibility of Painlev ´e VI equation.

Some rigidity results for polynomial automorphisms of C^2 Dynamics on character varieties and Malgrange irreducibility of Painlev ´e VI equation

Reference 20

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This paper cites Sur la g ´eom´etrie pseudo-conforme des hypersurfaces de l’espace de deux variables complexes.

Some rigidity results for polynomial automorphisms of C^2 Sur la g ´eom´etrie pseudo-conforme des hypersurfaces de l’espace de deux variables complexes

Reference 21

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This paper cites Rectifiable sets, densities and tangent measures.

Some rigidity results for polynomial automorphisms of C^2 Rectifiable sets, densities and tangent measures

Reference 22

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This paper cites Decay of correlations for H ´enon maps.

Some rigidity results for polynomial automorphisms of C^2 Decay of correlations for H ´enon maps

Reference 23

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Observation 66e95dbe-1bde-4a6a-8e14-0859a4302e26 · outbound

This paper cites Laminar currents and birational dynamics.

Some rigidity results for polynomial automorphisms of C^2 Laminar currents and birational dynamics

Reference 24

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This paper cites Some remarks on the connectivity of Julia sets for 2-dimensional diffeomorphisms.

Some rigidity results for polynomial automorphisms of C^2 Some remarks on the connectivity of Julia sets for 2-dimensional diffeomorphisms

Reference 25

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This paper cites Continuity of Lyapunov exponents for polynomial automorphisms of C2.

Some rigidity results for polynomial automorphisms of C^2 Continuity of Lyapunov exponents for polynomial automorphisms of C2

Reference 26

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Observation f69fe24f-663f-4183-b74a-314c9ce72d5c · outbound

This paper cites A closing lemma for polynomial automorphisms ofC2.

Some rigidity results for polynomial automorphisms of C^2 A closing lemma for polynomial automorphisms ofC2

Reference 27

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This paper cites Degenerate homoclinic bifurcations in complex dimension 2.

Some rigidity results for polynomial automorphisms of C^2 Degenerate homoclinic bifurcations in complex dimension 2

Reference 28

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This paper cites The dynamical Manin-Mumford problem for plane polynomial automor- phisms.

Some rigidity results for polynomial automorphisms of C^2 The dynamical Manin-Mumford problem for plane polynomial automor- phisms

Reference 29

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This paper cites Stability and bifurcations for dissipative polynomial automorphisms of C2.

Some rigidity results for polynomial automorphisms of C^2 Stability and bifurcations for dissipative polynomial automorphisms of C2

Reference 30

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This paper cites Rational maps with real multipliers.

Some rigidity results for polynomial automorphisms of C^2 Rational maps with real multipliers

Reference 31

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Some rigidity results for polynomial automorphisms of C^2 Unresolved cited work

Reference 32

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Some rigidity results for polynomial automorphisms of C^2 Unresolved cited work

Reference 33

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This paper cites Hedgehogs for neutral dissipative germs of holomorphic diffeomorphisms of pC2, 0q.

Some rigidity results for polynomial automorphisms of C^2 Hedgehogs for neutral dissipative germs of holomorphic diffeomorphisms of pC2, 0q

Reference 34

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This paper cites Hyperbolic flows.

Some rigidity results for polynomial automorphisms of C^2 Hyperbolic flows

Reference 35

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This paper cites Complex H´enon mappings in C2 and Fatou-Bieberbach domains.

Some rigidity results for polynomial automorphisms of C^2 Complex H´enon mappings in C2 and Fatou-Bieberbach domains

Reference 36

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This paper cites Complex dynamics in higher dimensions.

Some rigidity results for polynomial automorphisms of C^2 Complex dynamics in higher dimensions

Reference 37

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This paper cites Dynamical properties of plane polynomial automorphisms.

Some rigidity results for polynomial automorphisms of C^2 Dynamical properties of plane polynomial automorphisms

Reference 38

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This paper cites Garnett and Donald E.

Some rigidity results for polynomial automorphisms of C^2 Garnett and Donald E

Reference 39

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This paper cites Holomorphic Anosov systems.

Some rigidity results for polynomial automorphisms of C^2 Holomorphic Anosov systems

Reference 40

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This paper cites Julia sets of complex H ´enon maps.

Some rigidity results for polynomial automorphisms of C^2 Julia sets of complex H ´enon maps

Reference 41

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This paper cites Hamilton.

Some rigidity results for polynomial automorphisms of C^2 Hamilton

Reference 42

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Observation 6e2ccd23-ddc2-433f-a609-a07b9cb83d03 · outbound

This paper cites Hubbard and Ralph W.

Some rigidity results for polynomial automorphisms of C^2 Hubbard and Ralph W

Reference 43

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Observation c270f591-349a-4e9d-8632-097d30c3c6b3 · outbound

This paper cites Hubbard and Ralph W.

Some rigidity results for polynomial automorphisms of C^2 Hubbard and Ralph W

Reference 44

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This paper cites Rational maps with rational multipliers.

Some rigidity results for polynomial automorphisms of C^2 Rational maps with rational multipliers

Reference 45

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Observation 35d9e297-718b-4002-9271-58c68993195a · outbound

This paper cites Homoclinic orbits, multiplier spectrum and rigidity theorems in complex dynamics.

Some rigidity results for polynomial automorphisms of C^2 Homoclinic orbits, multiplier spectrum and rigidity theorems in complex dynamics

Reference 46

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Observation 07ce6868-a7d7-4176-9884-e094679edf51 · outbound

This paper cites The multiplier spectrum morphism is generically injective.

Some rigidity results for polynomial automorphisms of C^2 The multiplier spectrum morphism is generically injective

Reference 47

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Observation 9255c959-ac43-42a4-b9a8-553bbebf8dc1 · outbound

This paper cites Introduction to the modern theory of dynamical systems , volume 54 of Encyclopedia of Mathematics and its Applications.

Some rigidity results for polynomial automorphisms of C^2 Introduction to the modern theory of dynamical systems , volume 54 of Encyclopedia of Mathematics and its Applications

Reference 48

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This paper cites The equidistribution of small points for strongly regular pairs of polynomial maps.

Some rigidity results for polynomial automorphisms of C^2 The equidistribution of small points for strongly regular pairs of polynomial maps

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:54:01.680354Z

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Observation 6bf1a8d8-fa9f-4291-acb8-e4a60a2d0de7 · outbound

This paper cites Structure of partially hyperbolic H ´enon maps.

Some rigidity results for polynomial automorphisms of C^2 Structure of partially hyperbolic H ´enon maps

Reference 50

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This paper cites Hedgehogs in higher dimensions and their applications.

Some rigidity results for polynomial automorphisms of C^2 Hedgehogs in higher dimensions and their applications

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:54:01.645348Z

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Some rigidity results for polynomial automorphisms of C^2 Unresolved cited work

Reference 52

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This paper cites Hausdorff dimension for horseshoes.

Some rigidity results for polynomial automorphisms of C^2 Hausdorff dimension for horseshoes

Reference 53

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Observation a409f17f-d616-4c9c-a40a-8e22bc0af790 · outbound

This paper cites Families of rational maps and iterative root-finding algorithms.

Some rigidity results for polynomial automorphisms of C^2 Families of rational maps and iterative root-finding algorithms

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:54:01.591143Z

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Observation 9a47a6b5-4a47-4559-84f7-a7672d1d6be6 · outbound

This paper cites On Latt `es maps.

Some rigidity results for polynomial automorphisms of C^2 On Latt `es maps

Reference 55

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This paper cites Introduction to the theory of analytic spaces, volume No.

Some rigidity results for polynomial automorphisms of C^2 Introduction to the theory of analytic spaces, volume No

Reference 56

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Some rigidity results for polynomial automorphisms of C^2 Unresolved cited work

Reference 57

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This paper cites On Hausdorff dimension of polynomial not totally disconnected Julia sets.

Some rigidity results for polynomial automorphisms of C^2 On Hausdorff dimension of polynomial not totally disconnected Julia sets

Reference 58

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This paper cites Dynamical systems.

Some rigidity results for polynomial automorphisms of C^2 Dynamical systems

Reference 59

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This paper cites Lyapunov exponents of hyperbolic measures and hyperbolic periodic orbits.

Some rigidity results for polynomial automorphisms of C^2 Lyapunov exponents of hyperbolic measures and hyperbolic periodic orbits

Reference 60

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This paper cites On measures of maximal and full dimension for polynomial automorphisms ofC2.

Some rigidity results for polynomial automorphisms of C^2 On measures of maximal and full dimension for polynomial automorphisms ofC2

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:54:01.477879Z

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This paper cites H´enon maps: a list of open problems.

Some rigidity results for polynomial automorphisms of C^2 H´enon maps: a list of open problems

Reference 62

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This paper cites On holomorphic partially hyperbolic systems.

Some rigidity results for polynomial automorphisms of C^2 On holomorphic partially hyperbolic systems

Reference 63

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This paper cites Big line bundles over arithmetic varieties.

Some rigidity results for polynomial automorphisms of C^2 Big line bundles over arithmetic varieties

Reference 64

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This paper cites Parabolic orbifolds and the dimension of the maximal measure for rational maps.

Some rigidity results for polynomial automorphisms of C^2 Parabolic orbifolds and the dimension of the maximal measure for rational maps

Reference 65

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This paper cites Characteristic exponents of rational functions.

Some rigidity results for polynomial automorphisms of C^2 Characteristic exponents of rational functions

Reference 66

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