skip to content
Preprints from Before 2007

Richard Bass
  • M.T. Barlow and R.F. Bass, Stability of parabolic Harnack inequalities, Trans. Amer. Math. Soc., 356 (2004) 1501-1533 [PDF] [MathSciNet]
  • R.F. Bass and D. You, A Fatou theorem for α-harmonic functions in Lipschitz domains [PDF] [MathSciNet]
  • R.F. Bass and M. Kassmann, Hölder continuity of harmonic functions with respect to operators of variable order [PDF] [MathSciNet]
  • S. Athreya, R.F. Bass, and E. Perkins, Hölder norm estimates for elliptic operators on finite and infinite dimensional spaces [PDF] [MathSciNet]
  • S.R. Athreya, R.F. Bass, M. Gordina, and E.A. Perkins, Infinite dimensional stochastic differential equations of Ornstein-Uhlenbeck type, Stochastic Process. Appl., 116 (2006), 381--406. [PDF] [MathSciNet]
  • R.F. Bass, X. Chen, and J. Rosen, Moderate deviations and laws of the iterated logarithm for the renormalized self-intersection local times of planar random walks [PDF] [MathSciNet]
  • R.F. Bass, K. Burdzy, and Z.-Q. Chen, On the Robin problem in fractal domains [PDF]

Maria Gordina
  • M. Gordina, Heat kernel analysis and Cameron-Martin subgroup for infinite dimensional groups, Journal of Functional Analysis, 171(2000), pp. 192-232 [PDF] [MathSciNet]
  • M. Gordina, Holomorphic functions and the heat kernel measure on an infinite dimensional complex orthogonal group, Potential Analysis, 12, 2000, pp. 325-357 [PDF] [MathSciNet]
  • M. Gordina, Taylor map on groups associated with a II_1-factor, Infinite Dimensional Analysis, Quantum Probability and Related Topics, 5(2002), pp. 93-111 [PDF] [MathSciNet]
  • M. Gordina, Quasi-invariance for the pinned Brownian motion on a Lie group, Stochastic Processes and their Applications, 104, 243-257, 2003 [PDF] [MathSciNet]
  • M. Gordina, Stochastic differential equations on noncommutative L2, Contemp. Math., Amer. Math. Soc.,, Finite and infinite dimensional analysis in honor of Leonard Gross, edited by H-H. Kuo and A.N. Sengupta, Contemp. Math. [PDF] [MathSciNet]
  • M. Gordina, Heat kernel analysis on infinite-dimensional groups, Infinite Dimensional Harmonic Analysis, World Scientific Publishing Co., (2005), 71-81 [PDF] [MathSciNet]
  • M. Gordina, Hilbert-Schmidt groups as infinite-dimensional Lie groups and their Riemannian geometry, Journal of Functional Analysis, 227 (2005), 245--272 [PDF] [MathSciNet]
  • S.R. Athreya, R.F. Bass, M. Gordina, and E.A. Perkins, Infinite dimensional stochastic differential equations of Ornstein-Uhlenbeck type, Stochastic Process. Appl., 116 (2006), 381--406. [PDF] [MathSciNet]
  • S.Albeverio, M.Gordina, Levy processes and their subordination in matrix Lie groups, to appear in Bulletin des Sciences Mathematiques, 22 pages [PDF]
  • M. Gordina, P. Lescot, Riemannian geometry of $Diff(S^1)/S^1$, Journal of Functional Analysis, 239(2006), 611-630. [PDF] [MathSciNet]

Michael Neumann
  • M. Neumann, S. J. Kirkland and J. Xu, On a conjecture concerning doubly stochastic matricies [PDF]
  • M. Neumann,M. Chen and L. Han, On single and double Soules matrices [PDF] [MathSciNet]

Alexander Teplyaev
  • A. Teplyaev, A note on the theorems of M. G. Krein and L. A. Sakhnovich on continuous analogs of orthogonal polynomials on the circle, Journal of Functional Analysis, 226 (2005), 257-280 [PDF] [MathSciNet]
  • Infinite dimensional i.f.s. and smooth functions on the Sierpinski gasket, A. Pelander, A. Teplyaev, Indiana Univ. Math. J., 56 (2007), 1377--1404 [PDF]
  • K. Okoudjou, L. Saloff-Coste, A. Teplyaev, An Uncertainty Principle for Graphs, Fractals and Manifolds, Transactions of the American Mathematical Society [PDF]
  • B. Boyle, K. Cekala, D. Ferrone, N. Rifkin, A. Teplyaev, Electrical Resistance of N-gasket Fractal Networks, Pacific Journal of Mathematics [PDF]
  • A. Teplyaev, Harmonic coordinates on fractals with finitely ramified cell structure, Canadian Journal of Mathematics [PDF]
  • D. Fontaine, T. Smith, A. Teplyaev, Random Sierpinski gasket, Quantum Graphs and Their Applications, Contemporary Mathematics 415 (2006), AMS, Providence, RI. [PDF]
  • B.M. Hambly, V. Metz, A. Teplyaev, Self-similar energies on post-critically finite self-similar fractals, J. London Math. Soc., 74 (2006), 93--112. [PDF] [MathSciNet]
  • A. Teplyaev, Spectral zeta functions of fractals and the complex dynamics of polynomials, Trans. Amer. Math. Soc., 359 (2007), 4339-4358. [PDF] [MathSciNet]