Papers by John Erik Fornaess and Coauthors on Complex Dynamics.<p>


<hr>

1991:
<a href = http://www.math.lsa.umich.edu/~fornaess/files/ExistencedattracteursetrangespourcertainesapplicationsdeHenon.ps>
Existence d'attracteurs etranges pour certaines applications de
Henon</a> (with Estela Gavosto) C.R. Acad. Sci. Paris, t.313, Serie I, 495-498
(not available yet)

<hr>

<a href = http://www.math.lsa.umich.edu/~fornaess/files/RandomIterationsofRationalFunctions.ps>Random Iterations of Rational Functions</a> (with Nessim Sibony)
(Not available on web yet)
See Ergodic Theory and Dynamical Systems, 11, 687-708.

<hr>
<hr>

1992:
<a href = http://www.math.lsa.umich.edu/~fornaess/files/ExistenceofGenericHomoclinictangenciesforHenonmappings.ps>Existence of Generic Homoclinic tangencies for Henon mappings</a>Journal of Geometric Analysis, 2, 1-16, (with E. Gavosto)
(not yet available)

<hr>

<a href = http://www.math.lsa.umich.edu/~fornaess/files/CriticallyFiniteRationalMapsonPn.ps>Critically Finite Rational Maps on Pn</a> (with Nessim Sibony)
(Not available on web yet)
Proceedings of the Madison Symposion honouring Walter Rudin. AMS series in
Contemporary Mathematics, 245-260. 

<hr>

<a href = http://www.math.lsa.umich.edu/~fornaess/files/ComplexHenonMapsinC2andFatouBieberbachDomains.ps>Complex Henon Maps in C2 and Fatou Bieberbach Domains</a> (with Nessim Sibony) (Not available on web yet)
Duke Journal of Mathematics, 65, 345-380.

<hr>
<hr>


1994:
<a href = http://www.math.lsa.umich.edu/~fornaess/files/ExplodingorbitsofholomorphicHamiltonianandofcomplexcontactstructures.ps>Exploding orbits of holomorphic Hamiltonian and of complex contact structures</a> C.R. Acad. Sci. Paris 319, 553-558, (with Sandrine Grellier) 

<hr>

<a href = http://www.math.lsa.umich.edu/~fornaess/files/ComplexDynamicsI.ps>
Complex Dynamics in Higher Dimension I</a> (with Nessim Sibony)
Asterisque, 222, 201-231.

<hr>
<hr>

1995:
<a href = http://www.math.lsa.umich.edu/~fornaess/Completeholomorphicvectorfieldsandtime1maps.ps> Complete holomorphic vector fields and time-$1$
 maps</a> Indiana J. Math. 44 (1995), 1175-1182 (with Greg Buzzard)




<hr>
<a href = http://www.math.lsa.umich.edu/~fornaess/ComplexDynamicsII.ps>
Complex Dynamics in Higher Dimension II</a> (with Nessim Sibony)
Modern Methods in complex Analysis, Ann Studies, 137, 135-182.

<hr>

<a href = http://www.math.lsa.umich.edu/~fornaess/HolomorphicSymplectomorphismsinC2.ps>Holomorphic Symplectomorphisms in C2
</a>  (with Nessim Sibony) World Sc.
Series, Appl. Anal., Vol 4, Dynamical Systems and Applications,
July 1995.

<hr>

<a href = http://www.math.lsa.umich.edu/~fornaess/OkasInequalityforCurrentsandApplications.ps>
Okas Inequality for Currents and Applications</a> (with Nessim Sibony) Math. Ann. 301 (1995), 399-419.

<hr>

<a href = http://www.math.lsa.umich.edu/~fornaess/ClassificationofRecurrentDomainsforsomeHolomorphicMaps.ps>
Classification of Recurrent Domains for some Holomorphic Maps</a> (with Nessim Sibony)
 Math. Ann. 301 (1995), 
813-820.
<hr>
<hr>

1996:
<a href = http://www.math.lsa.umich.edu/~fornaess/CompositionalrootsofHenonmaps.ps>Compositional roots of Henon maps</a>World Sci. (1996), 67-74.(with Greg Buzzard)

<hr>

<a href = http://www.math.lsa.umich.edu/~fornaess/ExplodingorbitsofHamiltonianandcontactstructures.ps>Exploding orbits of Hamiltonian and contact
structures</a> lecture notes in pure and applied math, 173,
155-172 (with S. Grellier).

<hr>

<a href = http://www.math.lsa.umich.edu/~fornaess/Explodingorbitsofholomorphicstructures.ps> Exploding orbits of holomorphic structures</a>
(with S. Grellier)
 Math. Z. 223 (1996), 155-172.

<hr>


<a href = http://www.math.lsa.umich.edu/~fornaess/AnembeddingofCinC2withhyperboliccomplement.ps>An embedding of $\CC$ in $\CC^2$  with hyperbolic complement
</a> (with G.
Buzzard), Math. Ann. 306 (1996), 539-546

<hr>

<a href = http://www.math.lsa.umich.edu/~fornaess/HolomorphicSymplectomorphismsinC^2p.ps>
Holomorphic Symplectomorphisms in C^2p</a>Duke Math
J. 82 (1996), 521-533.

<hr>
<hr>

1997:
<a href = http://www.math.lsa.umich.edu/~fornaess/closinglemmaforholomorphicmaps.ps>The Closing Lemma for Holomorphic Maps
</a> (with Nessim Sibony) Ergod. Th. and Dynam. Sys. 17, (1997) 821-837.

<hr>
<hr>


1998:
<a href = http://www.math.lsa.umich.edu/~fornaess/ClassificationofDegree2PolynomialAutomorphismsofC3.ps>Classification of Degree 2 Polynomial Automorphisms of C3</a>(with
H. Wu) 
Publicaciones Matematiques, 42 (1998), 195-210

<hr>

<a href = http://www.math.lsa.umich.edu/~fornaess/FatouJuliaCk.ps>
Fatou and Julia sets for entire maps in C^k</a> (with Nessim Sibony)
Math. Ann. 311 (1998), no. 1, 27--40.
<hr>



<a href = http://www.math.lsa.umich.edu/~fornaess/ClosingLemmaforHolomorphicFunctionsinC.ps>
The Closing Lemma for Holomorphic Functions in C</a> (with Nessim Sibony)
Ergod. Th. and Dynam. Sys. 18, (1998), 153-170
<hr>



<a href = http://www.math.lsa.umich.edu/~fornaess/HyperbolicMapsonP^2.ps>Hyperbolic Maps on P^2</a> (with Nessim Sibony) Math. Ann. 311 (1998), 305-333

<hr>
<hr>


1999:
<a href = http://www.math.lsa.umich.edu/~fornaess/GreensfunctionsforirregularquadraticpolynomialautomorphismsofC3.ps>Green's functions for
irregular quadratic polynomial automorphisms of $\bold C^3$</a>
(with Dan Coman) 
Michigan Math. Journal 46 (1999), 419-459.
<hr>

<a href = http://www.math.lsa.umich.edu/~fornaess/AttractorsonP2.ps>Attractors on $\PP^2$</a>(with Brendan Weickert)
Several complex variables (Berkeley, CA, 1995--1996), 297--
                   307, Cambridge Univ. Press, Cambridge,
                 1999.



<hr>



<a href = http://www.math.lsa.umich.edu/~fornaess/TangenciesforrealandcomplexHenonmapsananalyticmethod.ps> Tangencies for real and complex Henon maps: an analytic method</a>(with Estela Gavosto)
Experimental Math. (1999) 8 #3, page 253-260

<hr>

<a href = http://www.math.lsa.umich.edu/~fornaess/ComplexDynamicsinHigherDimension.ps>
Complex Dynamics in Higher Dimension</a> (with Nessim Sibony) SCV MSRI publication 37 (1999),
273-296.

<hr>
<hr>

2000: <a href = http://www.math.lsa.umich.edu/~fornaess/Onthedynamicsofrationalmaps.ps>On the dynamics of rational maps</a>
(with Araceli Bonifant) Indiana Journal of Mathematics 49 (2000), 751-778.

<hr>


<a href = http://www.math.lsa.umich.edu/~fornaess/RandomiterationinPk.ps>Random iteration in $\PP^k</a>(with Brendan Weickert)
Ergodic Theory Dynam. Systems, Ergodic Theory and Dynamical Systems
                 20 (2000), no. 4, 1091--1109.


<hr>

<a href = http://www.math.lsa.umich.edu/~fornaess/InfinitedimensionalComplexDynamicsQuasiconjugaciesLocalizationandQuantumChaos.ps>
Infinite dimensional Complex Dynamics,
Quasiconjugacies, Localization and Quantum Chaos.</a> Discrete and Continuous Dynamical Systems, Millenium
Issue, 6 (2000) 51-60

<hr>

<a href = http://www.math.lsa.umich.edu/~fornaess/AquantizedHenonmap.ps>
A quantized Henon map</a> (with Weickert)
Discrete and Continuous Dynamical Systems, 6 (2000), 723-740

<hr>

2001
<a href = http://www.math.lsa.umich.edu/~fornaess/DynamicsofP2Examples.ps>
Dynamics of P2 (Examples) </a> (with Nessim Sibony)Stony Brook Conference on laminations, Contemporary
Math 269 (2001), 47-86.

<hr>
<a href ="http://www.math.lsa.umich.edu/~fornaess/attractorsgrauert.ps">Attractors</a> (with Araceli Bonifant) in Complex Geometry, Springer Verlag (2002),
73-84.


<hr>
<a href ="http://www.math.lsa.umich.edu/~fornaess/oka.ps">Short
C^k</a> Advanced Studies in Pure Mathematics, Mathematical Society of Japan,
accepted May, 2002. [Lecture at Oka centennial conference, Kyoto Japan,
November 2001.]

<hr>

<a href ="http://www.math.lsa.umich.edu/~fornaess/problems.ps">Some open 
problems in higher dimensional complex analysis and
complex dynamics</a> (with Sibony)
Publicacions Matematiques 45
(2001), 529-647


<hr>



<a href ="http://www.math.lsa.umich.edu/~fornaess/hilbertmar02.ps">Localization for Unitary Operators</a> (With Nessim Sibony) 



<hr>

<a href ="http://www.math.lsa.umich.edu/~fornaess/stability.ps">
Random Iteration and Shadowing</a>

<hr>

<a href ="http://www.math.lsa.umich.edu/~fornaess/korea.ps">
Hyperbolicity and Random Perturbations</a>

<a href ="http://www.math.lsa.umich.edu/~fornaess/density.ps">
A Note on Density of Orbits in Complex Dynamics</a>



<hr>