Preprints for Howard Weiss

Publications

Most Recent Publications

  • (with M. Pollicott and H. Wang) A Formula for the Time-Dependent Transmission Rate in an SIR Model from Data

  • (with M. Gidea, J. Meiss, and I. Ugarcovici) Some Applications of KAM Theory to Population Models

  • (with W. Morrison, A. Singh, and H. Wang) Fish Biomass Structure at Pristine Coral Reefs and Degradation by Fishing

  • (with W. Morrison, A. Singh, and H. Wang) Modeling Inverted Biomass Pyramids and Refuges in Ecosystems [To appear: Ecological Modeling]

  • (with R. Joh, H. Wang, and J. Weitz) Dynamics of Indirectly Transmitted Infectious Diseases with Immunological Threshold [To appear: Bulletin Math. Biology]

  • (with A. Singh, D. Vainchtein) Schelling's Segregation Model: Parameters, Scaling, and Aggregation [To appear: Demographic Research]

  • (with D. Diefenbach, N. Johnson, and M. Ternent) Wavelet and Fourier Transforms to Detect and Analyze Animal Activity Patterns [Submitted for publication]

  • (with M. Pollicott) Ergodicity of the Geodesic Flow on Non-complete Negatively Curved Surfaces [To appear: Asian Journal of Mathematics]

  • (with M. Pollicott and S. Wolpert) Topological Dynamics of the Weil-Petersson Geodesic Flow [To appear: Advances in Mathematics]

    Mathematical Ecology and Biology

  • (with I. Ugarcovici) Chaotic Attractors and Physical Measures for Some Density-Dependent Leslie Population Models [Nonlinearity]

  • (with S. Gerhold, L. Grebsky, C. Schneider, and B. Zimmerman) Computing the Complexity of Schelling Segregation Models [CNSNS]

  • (with I. Ugarcovici) Chaotic Dynamics of a Nonlinear Density Dependent Population Model [Nonlinearity]

  • (with M. Pollicott) The Dynamics of Schelling-Type Segregation Models [Adv. Applied Math.]

  • (with Jonathan Lynch and Kyle Nielsen) Fractal Geometry of Bean Root Systems in One, Two and Three Dimensional Space [American Journal of Botany]

    Bifurcation Theory

  • (with Keith Burns) A Geometric Criterion for Positive Topological Entropy [Comm. of Math. Physics]

  • (with Ale Jan Homburg) A Geometric Criterion for Positive Topological Entropy II: Homoclinic Tangencies [Comm. of Math. Physics]

  • (with I. Ugarcovici) Chaotic Dynamics of a Nonlinear Density Dependent Population Model [Nonlinearity]

    Genericity of Stochastic Behavior

  • A Remark on Papers by Pixton and Oliveira: Genericity of Symplectic Diffeomorphisms of $S^2$ with Positive Topological Entropy [J. Stat. Physics]
  • (with Gerhard Knieper) Genericity of Positive Topological Entropy for Geodesic Flows on $S^2$ [J. Diff. Geometry]

    Dynamics of Geodesic Flows

  • (with Mark Pollicott) Free Energy as a Geometric Invariant [Comm. of Math. Physics]

  • (with Mark Pollicott) Some Remarks on the Dynamics of the Mixmaster Universe [QTDS]

  • (with Gerhard Knieper) Genericity of Positive Topological Entropy for Geodesic Flows on $S^2$ [J. Diff. Geometry]

  • (with Keith Burns) Spheres with Positive Curvature and Nearly Dense Orbits for the Geodesic Flow [Ergodic Theory and Dynamical Systems]

  • (with Gerhard Knieper) A Surface with Positive Curvature and Positive Topological Entropy [J. Diff. Geometry]

  • Non-Smooth Geodesic Flows and the Earthquake Flow on Teichmuller Space [Ergodic Theory and Dynamical Systems]

    Wavelets, Fractals, and Dimension Theory

  • (with Mark Pollicott) How Smooth is Your Wavelet? Wavelet Regularity Via Thermodynamic Formalism [CMP]

  • (with Joerg Schmeling) Dynamical Systems and Dimension Theory AMS Symposia in Pure Math. #69

  • (with Yakov Pesin) The Multifractal Analysis of Birkhoff Averages and Large Deviations [Global Analysis of Dynamical Systems, Festschrift dedicated to Floris Takens for his 60th birthday]

  • (with Mark Pollicott) Multifractal analysis for the Continued Fraction and Manneville-Pomeau Transformations and Applications to Diophantine Approximation [Comm. Math. Physics]

  • The Lyapunov Spectrum of Equilibrium Measures for Conformal Expanding Maps and Axiom-A Surface Diffeomorphisms [J. Stat. Physics]

  • (with Yakov Pesin) The Multifractal Analysis of Gibbs Measures: Motivation, Mathematical Foundation, and Examples [Chaos]

  • (with Yakov Pesin) A Multifractal Analysis of Equilibrium Measures for Conformal Expanding Maps and Moran-like Geometric Constructions [J. Stat. Physics]

  • (with Mark Pollicott) The Dimensions of Some Self Affine Limit Sets in the Plane and Hyperbolic Sets [J. Stat. Physics]

  • (with Yakov Pesin) On The Dimension of Deterministic and Random Cantor-like Sets, Symbolic Dynamics, and the Eckmann-Ruelle Conjecture [Comm. Math. Physics]

  • (with Yakov Pesin) On the Dimension of Deterministic and Random Cantor-like Sets [Math. Research Letters]

  • (with Jonathan Lynch and Kyle Nielsen) Fractal Geometry of Bean Root Systems in One, Two and Three Dimensional Space [American Journal of Botany]

    Applications to Physics

  • (with M. Pollicott) Free Energy as a Dynamical Invariant (or Can You Hear the Shape of a Potential?) [Comm. Math. Physics]

  • (with Mark Pollicott) Free Energy as a Geometric Invariant [Comm. of Math. Physics]

  • (with Mark Pollicott) Some Remarks on the Dynamics of the Mixmaster Universe [QTDS]

  • (with Lyle Long) The Velocity Dependence of Aerodynamic Drag [AMM]

  • (with Lyle Long) How Terminal is Terminal Velocity? [AMM]

    Regularity of Dynamical Invariants

  • Some Variational Formulas for Hausdorff Dimension, Topological Entropy and SRB Entropy for Hyperbolic Dynamical Systems [J. Stat. Physics]

  • (with A. Katok and G. Knieper) Formulas for the Derivative and Critical Points of Topological Entropy for Anosov and Geodesic Flows [Comm. of Math. Physics]

  • (with A. Katok, G. Knieper, and M. Pollicott) Differentiability and Analyticity of Topological Entropy for Anosov and Geodesic Flows [Invent. Math.]

  • (with A. Katok, G. Knieper, and M. Pollicott) Differentiability of Entropy for Anosov and Geodesic Flows [Bulletin AMS]

  • (with G. Knieper) Regularity of Measure Theoretic Entropy for Geodesic Flows of Negative Curvature [Invent. Math.]

  • (with G. Knieper) Regularity of Entropy for Geodesic Flows [Contemp Math]

  • (with G. Knieper) Smoothness of Measure Theoretic Entropy for Anosov Flows [Caltech Technical Report]

    Teichmuller Theory and Hyperbolic Geometry

  • Non-Smooth Geodesic Flows and the Earthquake Flow on Teichmuller Space [Ergodic Theory and Dynamical Systems]

  • The Geometry of Measured Geodesic Laminations and Measured Train Tracks [Ergodic Theory and Dynamical Systems]