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Education
Research
Selected Publications
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Classification of harmonic structures on graphs, with Ibtesam Bajunaid, Joel Cohen, Flavia Colonna, to appear, Advances in Applied Mathematics .
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A Riesz decomposition theorem on harmonic spaces without positive potentials, with Ibtesam Bajunaid, Joel Cohen, Flavia Colonna, Hiroshima Math. J ., 38 (2008), 37-50.
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A global Riesz decomposition theorem on trees without positive potentials, with Joel Cohen, Flavia Colonna, J. London Math. Soc. (2), 75 (2007), 1-17.
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Function series, Catalan numbers and random walks on trees, with Ibtesam Bajunaid, Joel Cohen and Flavia Colonna, The American Mathematical Monthly, 112 (2005), 765-785.
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Distributions and Measures on the boundary of a tree, with Joel Cohen and Flavia Colonna, Journal of Mathematical Analysis and Applications, 293 (2004), 89-107.
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Minimal fine limits on trees, with K. GowriSankaran, Illinois. J. Math. 48 (2004), 359-389
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Trees as Brelot spaces, with Ibtesam Bajunaid, Joel Cohen, Flavia Colonna, Advances in Applied Mathematics, 30(2003), no 4, 706-745
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Tangential limits of potentials on homogeneous trees, with K. GowriSankaran, Potential analysis, 18 (2003), no 1, 79-96
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Polyharmonic functions on trees, with Joel Cohen, Flavia Colonna, K. GowriSankaran, American Journal of Mathematics, 124(2002), no 5, 999-1043
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A projection theorem and tangential boundary behavior of potentials, with K. GowriSankaran, Proceedings of the American Mathematical Society, 129 (2001), no 2, 397-405
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Minimal fine limits for a class of potentials, with K. GowriSankaran, Potential Analysis, 13 (2000), no. 2, 103-114
Preprints of these and other publications can be found at: http://math.gmu.edu/~dsingman/Papers.htm
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