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
- 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
- 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
- M. Begue, L. deValve, D. Miller, B. Steinhurst, Heat Kernel Asymptotics on Laakso Spaces, Fractals 20:2 (2012) pp 149-162.
PDF on ArXiv
- C. Kaufmann, R. Kesler, A. Parshall, E. Stamey B. Steinhurst, Quantum Mechanics on Laakso Spaces, J. Math. Phys. 53, 042102 (2012).
PDF on ArXiv
- 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
- B. Steinhurst Diffusions and Laplacians on Laakso, Barlow-Evans, and other Fractals Ph.D. Dissertation (2010)
PDF
- 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 Variables 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
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.