Analysis and Probability on Fractals

Saturday October 28, 2006

• 8:25-8:50 a.m. Structure of rationally ramified self-similar sets.
  Jun Kigami, Graduate School of Informatics, Kyoto University
• 9:00-9:25 a.m. Random walk on the incipient infinite cluster for oriented percolation in high dimensions.
  Takashi Kumagai, Research Institute for Mathematical Sciences, Kyoto University
• 9:25-9:50 a.m. Asymptotics of eigenvalue clusters for Schr\"odinger operators on the Sierpinski gasket.
  Kasso A Okoudjou, Department of Mathematics/University of Maryland, College Park
  Robert S Strichartz, Department of Mathematics/Cornell University
• 10:00-10:25 a.m. An example of singular fractal homogenization.
  Umberto Mosco, Worcester Polytechnic Institute
• 10:25-10:50 a.m. A Method using Perron-Frobenius Theory in Problems concerning Dirichlet Forms on Fractals.
  Roberto Peirone, Università di Roma Tor Vergata, Dipartimento di Matematica, via della Ricerca Scientifica, 00133 Roma, Italy

• 2:30-2:55 p.m. Fractals and Zeta Functions.
  Michel L. Lapidus, University of California, Riverside
• 2:55-3:20 p.m. Self-similar systems and their complex dimensions.
  Erin P. J. Pearse, Cornell University
• 3:30-3:55 p.m. Poincar\'e functional equations, eigenvalues of fractal Laplacians, and fractal Zeta functions.
  Peter J. Grabner, Vanderbilt University -- Graz University of Technology
• 3:55-4:20 p.m. Polynomial Sampling of Fractal Measures: I.F.S.--Pade' Approximants and Fourier--Bessel Functions.
  Giorgio Mantica, Center for Nonlinear and Complex Systems, Universita' dell'Insubria, Como Italy
• 4:30-4:55 p.m. Cauchy Transform on Sierpinski Gasket and Boundary Behavior.
  Xinhan Dong, Department of Mathematics, Hunnan Normal University
  Ka-Sing Lau, Department of Mathematics, The Chinese University of Hong Kong
• 4:55-5:20 p.m. Eigenvalue behavior of fractal Laplacians defined by iterated function systems with overlaps.
  Sze-Man Ngai, Georgia Southern University

Sunday October 29, 2006

• 8:25-8:50 a.m. Operator algebras, groups and Julia sets.
  Volodymyr Nekrashevych, Texas A&M University, College Station
• 9:00-9:25 a.m. Schreier spectra and self-similar groups.
  Zoran {\v S}uni\'c, Texas A&M University
  Rostislav Grigorchuk, Texas A&M University
• 9:25-9:50 a.m. Spectral self-similarity on a group.
  Alexander Teplyaev, University of Connecticut
• 10:00-10:25 a.m. Local behavior of harmonic and smooth functions on fractals.
  Anders Pelander, Department of Mathematics, Uppsala University, Sweden
• 10:25-10:50 a.m. Smooth bumps and a Borel Theorem on P.C.F Fractals.
  Luke G Rogers, Cornell University
  Robert S Strichartz, Cornell University
  Alexander Teplyaev, University of Connecticut

• 2:30-2:55 p.m. Outer approximation: a new approach to studying fractal Laplacians.
  Tyrus Berry, Ohio State University
  Stacey Goff, New College of Florida
  Robert S Strichartz, Cornell University
• 2:55-3:20 p.m. Spectra of self-similar Laplacians on the Sierpinski gasket with twists.
  Anna Blasiak, Middlebury college
  Robert S Strichartz, Cornell Univ.
  Baris Evren Ugurcan, Bilkent Univ.
• 3:30-3:55 p.m. Dirichlet Forms on Higher-Dimensional Analogues of the Sierpinski Gasket.
  Michael Jeremy Barany, Cornell University
  Luke Rogers, Cornell University
• 3:55-4:20 p.m. Harmonic Gradients of Eigenfunction on the Sierpinski Gasket.
  Jessie L DeGrado, Cornell University
  Luke G Rogers, Cornell University
  Robert S Strichartz, Cornell University
• 4:30-4:55 p.m. What Happens to the Spectrum When You Perturb a Fractal Graph?
  Marya Bessonov, North Carolina State University
  Michael Jennings, Cornell University
  Robyn L Miller, Cornell University
  Robert S Strichartz, Cornell University
• 4:55-5:20 p.m. Analogs of the quantum mechanical harmonic oscillator on the Sierpinski gasket.
  Edward Fan, Chinese University of Hong Kong
  Zuhair Khandker, Princeton University
  Robert S Strichartz, Cornell University