4th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals

• Saturday September 10, 2011, 8:00 a.m.-6:00 p.m.

  Room 406, Malott Hall

  • 8:00 a.m. The Homotopy Critical Spectrum of a Metric Space I. talk in pdf ?
    Conrad Plaut*, University of Tennessee-Knoxville
    Jay Wilkins, University of Connecticut

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  • 8:30 a.m. The Homotopy Critical Spectrum of a Metric Space II. talk in pdf ?
    Jay Wilkins*, University of Connecticut
    Conrad Plaut, University of Tennessee

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  • 9:00 a.m. $1$-forms on fractals and harmonic spaces. talk in pdf ?
    Michael Hinz, Friedrich-Schiller-University Jena, Math. Institute, Jena, Germany

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  • 9:30 a.m. Spectral Triples on the Sierpinski gasket. talk in pdf
    Fabio Cipriani*, Politecnico di Milano, Italy
    Daniele Guido, Univ. Roma Tor Vergata, Italy
    Tommaso Isola, Univ. Roma Tor Vergata, Italy
    Jean-Luc Sauvageot, CNRS, Paris

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  • 10:00 a.m. Differential 1-forms, their Integrals and Potential Theory on the Sierpinski Gasket. talk in pdf web page
    Fabio Cipriani, Politecnico di Milano, Italy
    Daniele Guido*, Univ. Roma Tor Vergata, Italy
    Tommaso Isola, Univ. Roma Tor Vergata, Italy
    Jean-Luc Sauvageot, CNRS, Paris

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  • 10:30 a.m. Piecewise harmonic functions, derivations and 1-forms on certain fractals. talk in pdf ?
    Marius V Ionescu, Colgate University
    Luke G Rogers*, University of Connecticut
    Alexander Teplyaev, University of Connecticut

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  • A four hour break.

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  • 3:00 p.m. Dirichlet forms on a noncompact Cantor set and random walks on its defining tree. talk in pdf ?
    Jun Kigami, Graduate School of Informatics, Kyoto University

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  • 3:30 p.m. Nodal counts of billiard eigenfunctions and critical partitions. web page
    Gregory Berkolaiko, Texas A&M University, College Station, TX
    Peter Kuchment*, Texas A&M University, College Station, TX
    Uzy Smilansky, The Weizmann Institute of Science Rehovot, 76100 IL

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  • 4:00 p.m. Eigenfunction expansions for general Laplacians. talk in pdf
    Daniel Hans Lenz, Mathematisches Institut, Friedrich-Schiller Universitaet Jena, Ernst Abbe Platz 2, D - 07743 Jena, Germany

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  • 4:30 p.m. Statistical mechanics and quantum field theory on fractal structures. Application to quantum optics and superfluidity. talk in pdf ?
    Eric Y Akkermans, Physics Department, Technion Israel Institute of Technology

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  • 5:00 p.m. Thermodynamics on Fractals. talk in pdf ?
    Gerald V. Dunne, University of Connecticut

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• Sunday September 11, 2011, 8:00 a.m.-6:00 p.m.

  Room 406, Malott Hall

  • 8:00 a.m. Hyperbolic duality and analysis on fractals. web page
    Volodymyr Nekrashevych, Texas A&M University, College Station

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  • 8:30 a.m. Hyperbolicity of graphs associated with fractal sets. web page
    Vadim Kaimanovich, University of Ottawa

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  • 9:00 a.m. Differential-like structures associated with strong local Dirichlet forms. talk in pdf web page
    Masanori Hino, Graduate School of Informatics, Kyoto University

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  • 9:30 a.m. Weyl's Laplacian eigenvalue asymptotics for the measurable Riemannian structure on the Sierpinski gasket. talk in pdf web page
    Naotaka Kajino, Department of Mathematics, University of Bielefeld

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  • 10:00 a.m. Random walk and induced Dirichlet form on self-similar sets. talk in pdf
    Ka-Sing Lau*, Department of Mathematics, The Chinese University of Hong Kong, HK
    Ting-Kam Wong, Department of Mathematics, The Chinese University of Hong Kong, HK

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  • 10:30 a.m. Martin boundary and exit space on the Sierpinski gasket and other fractals. talk in pdf ?
    Ka-Sing Lau, The Chinese University of Hong Kong
    Sze-Man Ngai*, Georgia Southern University

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  • A four hour break.

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  • 3:00 p.m. Spectra of Fractal Strings and Riemann Zeros. talk in pdf ?
    Hafedh Herichi, University of California, Riverside
    Michel L. Lapidus*, University of California, Riverside

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  • 3:30 p.m. Fractal measures originating from number theory. talk in pdf
    Peter J Grabner, Graz University of Technology

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  • 4:00 p.m. Higher-dimensional complex dynamics and spectral zeta functions of fractal Sturm-Liouville operators. talk in pdf
    Nishu Lal*, University of California, Riverside
    Michel Lapidus, University of California, Riverside

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  • 4:30 p.m. Szego limit theorems on the Sierpinski gasket. talk in pdf ?
    Kasso Okoudjou*, Department of Mathematics/University of Maryland
    Luke Rogers, Department of Mathematics/University of Connecticut
    Robert Strichartz, Department of Mathematics/Cornell University

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  • 5:00 p.m. Pseudo-differential operators on fractals. tail in pdf ?
    Marius V Ionescu*, Colgate University
    Luke G Rogers, University of Connecticut
    Robert S Strichartz, Cornell University

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• Monday September 12, 2011, 9:00 a.m.-5:30 p.m.

  • 9:00 a.m. Hodge deRham theory of k-forms on fractal graphs and fractals. web page
    Robert Strichartz, Cornell University

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  • 9:30 a.m. Fractal interpolation functions on p.c.f. self-similar sets. talk in pdf
    Huo-Jun Ruan, Zhejiang University, Hangzhou, P.R.China

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  • 10:00 a.m. Self-similar energies on general finitely ramified fractals. talk in pdf ?
    Roberto Peirone, Universita' di Roma Tor Vergata, Roma, Italy

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  • A half-hour break.

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  • 11:00 a.m. Self-similar fractals as boundaries of networks. talk in pdf preprint
    Erin Pearse, University of Oklahoma

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  • 11:30 a.m. Analysis on the First Julia Fractal. talk in pdf ?
    Zoran Sunic, Texas A&M University, College Station, TX

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  • 12:00 noon Abelian sandpiles on fractals. talk in pdf
    Russ Thompson, Texas A&M University, College Station, TX

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  • An one and a half-hour lunch break.

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  • 2:00 p.m. Pseudodigits. talk in pdf ?
    Eva Curry, Acadia University

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  • 2:30 p.m. Zeta functions of fractal strings and multifractal measures. talk in pdf ?
    John Rock, Cal Poly Pomona

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  • 3:00 p.m. Stabilizing and hybrid periodic orbits of fractal billiard tables. talk in pdf web page
    Robert Niemeyer, University of California, Riverside

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  • A half-hour break.

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  • 4:00 p.m. (jointly with Cornell Probability Seminar)
    Convergence of mixing times for sequences of random walks on finite graphs. talk in pdf ?
    Takashi Kumagai, RIMS, Kyoto University

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  • 4:30 p.m. (jointly with Cornell Probability Seminar)
    Uniform spanning trees and loop-erased random walks on Sierpinski graphs. talk in pdf
    Elmar Teufl, University of Tuebingen

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• Tuesday September 13, 2011, 9:00 a.m.-3:00 p.m.

  • 9:00 a.m. Infinity-harmonic functions on on the Sierpinski gasket. talk in pdf ?
    Matt Guay, University of Maryland

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  • 9:30 a.m. Periodic covering spaces on the Sierpinski carpet. talk in pdf
    Matt Begue, University of Maryland

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  • 10:00 a.m. Counting Spanning Trees on Fractal Graphs. talk in pdf
    Jason Anema, Cornell University

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  • A half-hour break.

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  • 11:00 a.m. Nontangential limits and Fatou-type theorems on pcf self-similar sets. talk in pdf web page
    Ricardo Saenz, University of Colima, Mexico

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  • 11:30 a.m. Mean value properties on Sierpinski type fractals. talk in pdf
    Qiu Hua, Cornell University

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  • 12:00 noon Statistical mechanics of Bose gas in Sierpinski carpets. talk in pdf
    Joe Chen, Cornell University

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  • An one and a half-hour lunch break.

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  • 2:00 p.m. Brownian motion on non-self-similar Sierpinski carpets. talk in pdf ?
    Benjamin Steinhurst, Cornell University

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  • 2:30 p.m. Random walks on barycentric subdivisions and the Strichartz hexacarpet. talk in pdf web page
    Dan Kelleher, University of Connecticut

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  • 3:00 p.m. Energy on fractals and related questions. talk in pdf
    Alexander Teplyaev, University of Connecticut

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  • 3:30 p.m. discussion, open problems, closing

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