# jfg - Editorial Board

JFG summary

#### Editor-in-Chief

Michel L. Lapidus, University of California, Riverside, USA

lapidus@math.ucr.edu

#### Managing Editors

Erin P. J. Pearse, California State Polytechnic University, San Luis Obispo, USA

epearse@calpoly.edu

Machiel van Frankenhuijsen, Utah Valley University, Orem, USA

vanframa@uvu.edu

Yimin Xiao, Michigan State University, East Lansing, USA

xiaoyimi@stt.msu.edu

#### Editors

Erez Lieberman Aiden, Baylor College of Medicine and Rice University, Houston, USA

erez@erez.com

*Space-filling curves, Hausdorff dimension, power laws, scalefree networks, fractals in nature*

Michael Barnsley, Australian National University, Canberra, Australia

Michael.Barnsley@anu.edu.au

*Topology and geometry of attractors and repellers of iterated function systems*

Jean Bellissard, Georgia Institute of Technology, Atlanta, USA

jeanbel@math.gatech.edu

*Fractal properties of spectral measures in quantum dynamics, anomalous transport and fractal exponents, noncommutative geometry (spectral triples, quantum metric spaces), analysis and Markov processes on fractals, metric geometry*

Laurent Calvet, HEC Paris, France

laurent.calvet@edhec.edu

*Economics, finance, and multifractal time series*

Erik Christensen, University of Copenhagen, Denmark

echris@math.ku.dk

*
Aspects of fractal geometry which relate to either operator algebras or noncommutative geometry
*

Marc-Olivier Coppens, University College London, UK

m.coppens@ucl.ac.uk

*
Applications of fractals to chemical engineering, chemistry, and statistical physics
*

Robert L. Devaney, Boston University, USA

bob@bu.edu

*
Complex dynamical systems (that is, complex dynamics and not complex systems)
*

Bertrand Duplantier, CEA/Saclay, Gif-sur-Yvette, France

bertrand.duplantier@cea.fr

*
Fractals in statistical and theoretical physics, multifractal measures and scaling exponents, random fractals and SLE, self-avoiding random walks, Liouville and discrete quantum gravity
*

Kenneth Falconer, University of St Andrews, Scotland, UK

kjf@st-andrews.ac.uk

*
Self-similarity (broadly interpreted), iterated function systems, geometric measure theory and geometric properties of fractals, fractal and multifractal measures, fractal dimensions, random fractal constructions and fractal stochastic processes
*

Anton Gorodetski, University of California, Irvine, USA

asgor@math.uci.edu

*
Smooth dynamical systems, hyperbolic and partially hyperbolic dynamics, dynamically defined fractals and their properties, spectral theory of quasicrystals
*

Ben Hambly, University of Oxford, UK

hambly@maths.ox.ac.uk

*
Probability and stochastic processes, random fractals, analysis and
diffusion on fractals
*

Michael Hochman, Hebrew University of Jerusalem, Israel

mhochman@math.huji.ac.il

*
Self-similar sets and measures, dimension and absolute continuity, projections and intersections; local theory of fractals, including tangent measures and scenery flow. Connections with additive combinatorics, ergodic theory, equidistribution
*

Stéphane Jaffard, Université Paris-Est Créteil Val de Marne, France

stephane.jaffard@u-pec.fr

*
Wavelets, harmonic analysis, Fourier series, self-similar functions,
multifractal analysis, local regularity of functions and distributions,
stochastic processes and fields, applications in signal processing
*

Svetlana Jitomirskaya, University of California, Irvine, USA

szhitomi@math.uci.edu

*
Ergodic Schrödinger operators and quasiperiodic cocycles
*

Davar Khoshnevisan, University of Utah, Salt Lake City, USA

davar@math.utah.edu

*
Random fractals and stochastic analysis of fractals; random fields and fractals
*

Jun Kigami, Kyoto University, Japan

kigami@i.kyoto-u.ac.jp

*
Analysis on fractals
*

Sarah Koch, University of Michigan, Ann Arbor, USA

kochsc@umich.edu

*Complex dynamics (in one or several variables), Teichmüller theory, complex analysis*

Peter Kuchment, Texas A&M University, College Station, USA

kuchment@math.tamu.edu

*
Quantum graphs, periodic media, photonic crystals
*

Ka-Sing Lau, Chinese University of Hong Kong, China

kslau@math.cuhk.edu.hk

*
Functional analysis, harmonic analysis, fractal geometry and analysis on fractals, geometric measure theory
*

Russell Lyons, Indiana University, Bloomington, USA

rdlyons@indiana.edu

*
Probability, graphs, harmonic analysis, geometric group theory
*

Nikolai Makarov, Caltech, Pasadena, USA

makarov@caltech.edu

*
Fractals in complex analysis
*

Matilde Marcolli, Caltech, Pasadena, USA

matilde@caltech.edu

*
Fractal geometry and its relations to mathematical physics, especially statistical mechanics, quantum theory, and noncommutative geometry, and relations to number theory and arithmetic geometry
*

Pertti Mattila, University of Helsinki, Finland

pertti.mattila@helsinki.fi

*
Geometric measure theory, Hausdorff, box counting and packing dimensions, geometric properties of fractals
*

Volodymyr Nekrashevych, Texas A&M University, College Station, USA

nekrash@math.tamu.edu

*
Self-similarity (broadly interpreted), iterated functions systems; dynamical systems, including complex dynamics and symbolic dynamics; operator algebras and noncommutative fractal geometry; self-similar groups and finite automata, quasicrystals, non-archimedean analysis
*

Mark Pollicott, University of Warwick, Coventry, UK

mpollic@maths.warwick.ac.uk

*
Ergodic theory, dynamical dystems, thermodynamic formalism
*

Bernard Sapoval, École Polytechnique, Palaiseau, France

bernard.sapoval@polytechnique.edu

*
Fractals in physics (diffusion, percolation, fractal resonators, localization), chemistry and physiological problems
*

Pablo Shmerkin, Universidad Torcuato Di Tella, Buenos Aires, Argentina

pshmerkin@utdt.edu

*Geometric properties of (random and deterministic) fractals of dynamical, arithmetic and combinatorial origin. Combinatorial problems in fractal geometry (Kakeya-type sets, etc). Applications of fractal geometry in ergodic theory and analysis. Self-affine sets and thermodynamic formalism. *

Robert S. Strichartz, Cornell University, Ithaca, USA

str@math.cornell.edu

*
Differential equations on fractals, Fourier transforms of fractal measures, exponential bases for fractal measures, fractal tilings
*

Alexander Teplyaev, University of Connecticut, Storrs, USA

alexander.teplyaev@uconn.edu

*
Probability theory and stochastic processes, Dirichlet forms, heat kernels, spectral theory, products of random matrices, self-similarity and stochastic self-similarity, mathematical physics on fractal and other non-smooth spaces
*

Jeremy Tyson, University of Illinois at Urbana-Champaign, USA

tyson@math.uiuc.edu

*
Analysis in metric measure spaces, geometric function theory, sub-Riemannian geometry, iterated function systems
*

Mariusz Urbanski, University of North Texas, Denton, USA

mariusz.urbanski@unt.edu

*
Complex dynamics; conformal dynamics, iterated function systems, particularly conformal and similarities
*

Yang Wang, Hong Kong University of Science and Technology, Hong Kong

yangwang@ust.hk

*
Iterated function systems and anything related to tiling
*

Martina Zähle, University of Jena, Germany

martina.zaehle@uni-jena.de

*
Geometry and analysis on fractals, including curvature and geometric integration theory, (S)PDE in metric measure spaces, and their relationships to dynamical systems, potential theory and spectral analysis; stochastic analysis for fractal processes in Euclidean spaces, pathwise approaches via fractional calculus
*