Last update February 9th,
2007
·
Counting all equilateral triangles in
\{0,1,2,...,n\}^3, submitted in January, 2007 (pdf);
· with Dan Pritikin and
Stephen E. Wright, Dependence and
Domination in Kings Graphs, submitted on June 30th, 2006 (pdf);
· A proof of two conjectures related to Erd\"os-Debrunner inequality (with P. Stanica and C. L. Frenzen),
submitted in April of 2006 (pdf)
· Differential Equations, Lecture Notes for the course at GA Tech, (pdf);
· Introduction to the Prisoners versus
Guards Puzzle, with T. Howard and D. Woolbright, submitted in January 2007 (pdf)
· Heron triangles with two fixed sides, (with P. Stanica and F. Luca), accepted in Journal of Number Theory 2006 (pdf)
· Simultaneous translational and multiplicative tiling and wavelet sets in R^n, with Yang Wang, Indiana University Mathematics Journal, 55, No 6 (2006). (pdf)
· Extreme values for the area of rectangles with vertices on concentrical circles, (with P. Stanica), Elemente der Mathematik 62 (2007), 30-39. (pdf)
· Effective asymptotics
for some nonlinear recurrences and almost doubly-exponential sequences,
(with P. Stanica), Acta
Math. Univ. Comenian.
(N.S.) 73 (2004), no. 1, 75--87, (pdf).
· A new construction of wavelet sets, Real Anal. Exchange 28 (2003), no. 2, 593--609. 42C40, (pdf)
· Direct paths of wavelets, (joint work
with E. Azoff, D. Larson, C. Pearcy),
Houston J. Math. 29 (2003), no. 3, 737--756 (electronic) (pdf)
·
Wandering sets for a class of Borel isomorphisms of [0,1),
Journal of Fourier Analysis and Appl. 6 (2000),
623-638, (joint work with
· Rank-one perturbations of diagonal operators,
Integral Eq. and Operator Theory, 39 (2001),
421-440 ( pdf)
· On subwavelet sets, (joint work with C. Pearcy), Proc. Amer. Math. Soc. 126 (1998) (pdf)
· On wavelet sets, J. Fourier Anal. and Appl. 4 (1998), no. 6, 711-721 (joint work with C. Pearcy and D. Larson) (pdf)
· On the unitary systems affiliated with orthonormal wavelet theory in n-dimensions, J. Funct. Anal., no 157, (1998), 423-431 (joint work with C. Pearcy and D. Larson) (pdf)
· On power bounded operators, Proc. Amer.
Math. Soc., 125 (1997), 1435-1441 (pdf)
· Joint spectral properties for permutable linear transformations, J. reine angew. Math. 426(1992), 23-45, (joint work with F.H. Vasilescu) (pdf)
·