Mailing
address:
The University of Texas at Austin
Department of Mathematics
1 University Station C1200
Austin, TX 78712-0257
USA
Vita
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Materials
Research Interests:
Dynamical systems:
KAM Theory, Numerical KAM, Bifurcation Theory, Nonlinear Lattice Equations,
Renormalization.
Publications:
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with Rafael de la Llave,
Fast numerical computation of quasi-periodic equilibrium states
in 1-D statistical mechanics, including twist maps
Nonlinearity 22, (2009) 1311-1336
pdf
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with Hector Lomelí, Heteroclinic bifurcations and chaotic transport
in the two-harmonic Standard-Map
Chaos 16, 0231 17(2006)
pdf
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Existence and persistence of invariant objects in dynamical systems and mathematical physics
The University of Texas at Austin, Ph.D. Thesis, 2009.
mp_arc 09-77
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Dinámica simpléctica y approximaciones numéricas de separatrices y
transporte caótico
ITAM, B.Sc. Report, 2004.
Preprints:
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with Yannick Sire, Travelling waves in discrete nonlinear systems
with non-nearest neighbor interactions, accepted for publication in Nonlinearity,
mp_arc 08-188
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with Rafael de la Llave, Criterion for the breakdown of quasi-periodic
solutions and its rigorous justificaiton, preprint
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with Rafael de la Llave, Computation of the breakdown of analyticity in statistical mechanics models,
mp_arc 09-56
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with Alessandra Celletti, Breakdown of invariant attractors for the dissipative standard map, submitted for publication,
mp_arc 09-124
In prepartation:
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with Alessandra Celletti and Rafael de la Llave, KAM theory for dissipative systems.
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