Mailing
address:
McGill University
The Department of Mathematics and Statistics
805 Sherbrooke Street West
Montreal, Quebec,
Canada,
H3A 2K6
Vita
|
Research Interests:
Dynamical systems:
KAM Theory, Numerical KAM, Bifurcation Theory, Nonlinear Lattice Equations,
Renormalization Theory.
Publications:
-
with Yannick Sire, Travelling waves in discrete nonlinear systems
with non-nearest neighbor interactions
Nonlinearity 22, (2009) 2583-2605
pdf
-
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, preprint: mp_arc 08-189
-
with Hector Lomelí, Heteroclinic bifurcations and chaotic transport
in the two-harmonic Standard-Map
Chaos 16, 0231 17(2006)
pdf
-
Existence and persistence of invariant objects in dynamical systems and mathematical physics
The University of Texas at Austin, Ph.D. Thesis (May 2009), Supervisor: Rafael de la Llave.
mp_arc 09-77
-
Dinámica simpléctica y approximaciones numéricas de separatrices y
transporte caótico
ITAM, B.Sc. Report (June 2004), Supervisor: Hector Lomelí.
Preprints:
-
with Rafael de la Llave, A numerically accessible criterion for the breakdown
of quasi-periodic solutions and its rigorous justificaiton, submitted for publication,
mp_arc 09-150
-
with Rafael de la Llave, Computation of the breakdown of analyticity in statistical
mechanics models,
mp_arc 09-56
-
with Alessandra Celletti, Breakdown of invariant attractors for the
dissipative standard map, submitted for publication,
mp_arc 09-124
In prepartation:
-
with A. Celletti and R. de la Llave, KAM theory for dissipative systems.
-
with A.R. Humphries and N. Christodoulou, Bifurcations and Spurious Solutions for Numerical Methods.
|