Publications by Date

Journal articles:

• B. Steinhurst, A. Teplyaev Existence of a Meromorphic Continuation of Spectral Zeta Functions (to appear in Letters in Mathematical Physics)
  PDF on ArXiv
• B. Steinhurst, Uniqueness of Brownian Motion on Laakso Spaces (to appear in Potential Analysis)
  PDF on ArXiv

11. D. Kelleher, B. Steinhurst C-M M. Wong From Self-similar structures to self-similar groups, International Journal of Algebra and Computation 22:7, 1250056, 2012.
    PDF on ArXiv
10. K. Hare, B. Steinhurst, A. Teplyaev, D. Zhou, Disconnected Julia sets and gaps in the spectrum of Laplacians on symmetric p.c.f. fractals Math. Res. Lett. 19:3, pp 537-533, 2012.
    PDF on ArXiv
9. M. Begue, L. deValve, D. Miller, B. Steinhurst, Heat Kernel Asymptotics on Laakso Spaces, Fractals 20:2 (2012) pp 149-162.
   PDF on ArXiv
8. C. Kaufmann, R. Kesler, A. Parshall, E. Stamey B. Steinhurst, Quantum Mechanics on Laakso Spaces, J. Math. Phys. 53, 042102 (2012).
   PDF on ArXiv
7. S. Makisumi, G. Stadnyk, B. Steinhurst, Modified Hanoi Towers Groups and Limit Spaces, International Journal for Algebra and Computation 21:6, pp 867-887, (2011).
   PDF File on ArXiv
6. B. Steinhurst Diffusions and Laplacians on Laakso, Barlow-Evans, and other Fractals Ph.D. Dissertation (2010)
   PDF
5. D. Ford and B. Steinhurst, Vibration Spectra of the m-Tree Fractal, Fractals, 18:2 (2010) 157-169.
   PDF File on ArXiv
4. K. Romeo and B. Steinhurst, Eigenmodes of a Laplacian on Laakso Space, Complex Variables and Elliptic Equations, 54:6, pp. 623-637, (2009).
   PDF file on ArXiv
3. N Bajorin, T Chen, A Dagan, C Emmons, M Hussein, M Khalil, P Mody, B Steinhurst, A Teplyaev, Vibration Spectra of Finitely Ramified, Symmetric Fractals, Fractals, 16:3 (2008) 243-258.
   PDF File
2. N Bajorin, T Chen, A Dagan, C Emmons, M Hussein, M Khalil, P Mody, B Steinhurst, A Teplayev, Vibration Modes of 3n-gasket and Other Fractals, J. Phys. A: Math. Theor. 41(2008) No 1
   PDF File
1. Joseph Corneli; Paul Holt; George Lee; Nicholas Leger; Eric Schoenfeld; Benjamin Steinhurst, The Doublt Bubble Problem on the Flat Two-torus, Trans. Amer. Math. Soc. 356 (2004), 3769-3820.
   ArXiv Pre-Print

Submitted Manuscripts:

• R. Kesler, B. Steinhurst Casimir Effect on Laakso Spaces
  PDF on ArXiv
• B. Steinhurst, A. Teplyaev Spectral Analysis and Dirichlet forms on Barlow-Evans Fractals
  PDF on ArXiv

In Preparation:

• B. Steinhurst Spectral Segmentation on Laakso Spaces
• L. Miller, B. Steinhurst Generalized Witt Vectors and p-Adic Lipschitz Continuous Functions
• D. Lougee, B. Steinhurst Bond Percolation on
• B. Steinhurst Diffusions on Non Self-Similar Sierpinski carpets

Expository notes:

• B. Steinhurst, Stochastic Processes on Irregular Spaces lecture notes from Math7770f10 at Cornell ver. 0.2 updated 2 December 2010.
  PDF
• B. Steinhurst, Notions of dimension aimed at the undergraduate ver 1.0: last updated 9 June 2010.
  PDF

Last updated: 18 December 2012

Back to main page.