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Note the attracting fixed point on my head at A (arrows added for emphasis).
I am a CLE Moore Instructor at MIT, studying semiclassical analysis
and partial differential equations.
Existence and Stability of Solitons for the Nonlinear Schrodinger Equation on Hyperbolic Space with J. Marzuola
Local Smoothing
Effects for the Water-wave Problem with Surface Tension with V.M. Hur and G. Staffilani
->Research Announcement
Quantum Monodromy and Non-concentration Near a Closed Semi-hyperbolic Orbit
Isomorphisms between Algebras of Semiclassical Pseudodifferential Operators
Applications of Cutoff Resolvent Estimates to the Wave Equation to appear, Math. Res. Lett.
Cutoff Resolvent Estimates and the Semilinear Schrodinger Equation Proc. Amer. Math. Soc. Vol. 136 (2008), no. 10, 3513--3520.
The Colin de Verdiere Graph Parameter for Threshold Graphs with Felix Goldberg
Dispersive Estimates for Manifolds with one Trapped Orbit Comm. Partial Differential Equations Vol. 33, (2008) no. 7, 1147--1174.
Semiclassical
Non-concentration near Hyperbolic Orbits, Journal
of Functional Analysis Vol. 262 (2007), no. 2, 145--195.
->Erratum
Growth and Zeros
of the Zeta Function for Hyperbolic Rational Maps, Canadian Journal of
Mathematics, Vol. 59 (2007), no. 2, 311--331.
On Correlations
of CM-Type Maass Waveforms under the Horocyclic Flow, with Dennis Hejhal (Univ. of Minn.),
Journal of
Physics A, Mathematical and General, Vol. 36 (2003), no. 12, 3467--3486.
The Critical
Group of a Threshold Graph, with Victor Reiner (Univ. of Minn.),
Linear Algebra and its
Applications, Vol. 349 (2002), 233--244.
Contact:
hans@math.mit.edu
1-617-324-1158