JFG 7-1 cover

JFG Editor in Chief

Michel L. Lapidus

JFG Managing Editors

Erin P. J. Pearse

Machiel van Frankenhuijsen

Yimin Xiao

JFG Editors

*space-filling curves, Hausdorff dimension, power laws, scale-free networks, fractals in nature*

Erez Lieberman Aiden

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

Michael Barnsley

*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*

Jean Bellissard

*economics, finance, and multifractal time series*

Laurent Calvet

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

Erik Christensen

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

Marc-Olivier Coppens

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

Bertrand Duplantier

*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*

Kenneth Falconer

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

Anton Gorodetski

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

Ben Hambly

*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*

Michael Hochman

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

Stéphane Jaffard

*ergodic Schrödinger operators and quasiperiodic cocycles*

Svetlana Jitomirskaya

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

Davar Khoshnevisan

Jun Kigami

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

Sarah Koch

*quantum graphs, periodic media, photonic crystals*

Peter Kuchment

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

Ka-Sing Lau

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

Russell Lyons

Nikolai Makarov

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

Matilde Marcolli

*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*

Volodymyr Nekrashevych

*ergodic theory, dynamical dystems, thermodynamic formalism*

Mark Pollicott

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

Bernard Sapoval

*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*

Pablo Shmerkin

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

Robert S. Strichartz

*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*

Alexander Teplyaev

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

Jeremy Tyson

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

Mariusz Urbanski

*iterated function systems and anything related to tiling*

Yang Wang

*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*