Publications by Date

In Preparation:

• B. Steinhurst, Uniqueness of Brownian Motion on Laakso Spaces

Journal articles:

• D. Ford and B. Steinhurst, Vibration Spectra of the m-Tree Fractal, Fractals, 18:2 (2010) 157-169.
  PDF File on ArXiv
• K. Romeo and B. Steinhurst, Eigenmodes of a Laplacian on Laakso Space, Complex Analysis and Elliptic Equations, 54:6, pp. 623-637, (2009).
  PDF file on ArXiv
• 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
• 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
• 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

Manuscripts:

• B. Steinhurst Diffusions and Laplacians on Laakso, Barlow-Evans, and other Fractals Ph.D. Dissertation (2010)
  PDF
• M. Begue, L. deValve, D. Miller, B. Steinhurst, Heat Kernel Asymptotics on Laakso Spaces (2009) (submitted).
  PDF File on ArXiv
• S. Makisumi, G. Stadnyk, B. Steinhurst, Modified Hanoi Towers Groups and Limit Spaces (2009) (submitted).
  PDF File on ArXiv
• B Steinhurst, Dirichlet Forms on Laakso and Barlow Evans Fractals of Arbitrary Dimention. (2009)
  PDF File on ArXiv

Expository notes:

• B. Steinhurst, Notions of dimension aimed at the undergraduate ver 1.0: last updated 9 June 2010.
  PDF

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