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Lacey,
Michael T.
Lacey,
Michael T.
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ItemNational Science Foundation mathematical sciences postdoctoral fellowship(Georgia Institute of Technology, 2011-07-01) Lacey, Michael T.
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ItemFinal report on DMS-0902259 participation at the CRM-Barcelona(Georgia Institute of Technology, 2009-04) Lacey, Michael T.This is a final report for the grant DMS-0902259 which supported US-based participants in a program of activity at the Centre de Recerca Matemàtica (CRM) in Barcelona, Spain. The CRM holds semester long programs of emphasis, with the program for this grant being “Harmonic Analysis, Geometric Measure Theory and Quasiconformal Mappings,” held during February-July, 2009. Core events in this program included Advanced Courses, and International Conferences, which brought together leaders in the different fields.
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ItemFields program on new trends in harmonic analysis - international U.S. participation(Georgia Institute of Technology, 2008-08-01) Lacey, Michael T.
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ItemVertical integration of research and education in the mathematical sciences - VIGRE: VIGRE/GT: vertical integration of research & education at Georgia Tech(Georgia Institute of Technology, 2008-06-16) Lacey, Michael T. ; Duke, Richard ; Thomas, Robin ; Landsberg, Joseph ; Pelesko, John
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ItemSpectral, Criteria, SLLNS and A.S. Convergence of Series of Stationary Variables(Georgia Institute of Technology, 1995-04) Houdré, Christian ; Lacey, Michael T.It is shown here how to extend the spectral characterization of the strong law of large numbers for weakly stationary processes to certain singular averages. For instance, letting {X_t, t \in R^3}, be a weakly stationary field, {X_t} satisfies the usual SLLN (by averaging over balls) if and only if the averages of {X_t} over spheres of increasing radii converge pointwise. The same result in two dimensions is false. This spectral approach also provide a necessary and sufficient condition for the a.s. convergence of some series of stationary variables.