# FGS5 Slides

## Monday

**Morning Session**

St\'{e}phane Jaffard: *Multifractal analysis based on the $p$-exponent*

Kenneth Falconer: *60 Years of Projections*

Zhen-Qing Chen: *Heat kernels for non-symmetric stable-like operators*

Peter Grabner: *Poincar\'e functional equations, harmonic measures on Julia sets, and fractal zeta functions*

Krzysztof Bara\'{n}ski: *On the dimension of the graph of the classical Weierstrass function*

Eugen Mihailescu: *Thermodynamic formalism on a class of fractals with overlaps*

Michael Barnsley: *Symbolic IFS theory, fast basins and fractal manifolds*

**Parallel Session 1**

Antoine Ayache: *Harmonizable Fractional Stable Fields: Local Nondeterminism and Joint Continuity of the Local Times*

Kumiko Hattori: *The scaling limit of loop-erased random walks on fractals -- the erasing-larger-loop-first model and the uniform spanning trees*

Katarzyna Pietruska-Paluba: *Integrated density of states for Poisson perturbations of Markov processes on the Sierpi\'{n}ski gasket*

Julien Hamonier: *Estimation of the functional Hurst's parameter of Linear Multifractional Stable Motion by discrete variations method.*

Julia Romanowska: *Measure and Hausdorff dimension of randomized Weierstrass-type functions*

Benjamin Steinhurst: *Diffusion on non-self-similar Sierpinski carpets*

Lina Wedrich: *The Hausdorff dimension of the range and the graph of an operator semistable L\'evy process*

**Parallel Session 2**

Dorothee D. Haroske: *Function spaces on h-sets: traces, envelopes, embeddings*

Janna Lierl: *Dirichlet heat kernel estimates for diffusions on inner uniform domains*

Matthias Keller: *Cheeger's inequality for unbounded graph Laplacians*

Henk Don: *Bounds for the critical value in fractal percolation*

Helena Pe\~{n}a: *Polynomial eigenfunctions of an operator associated to affine IFS*

Roland J. Etienne: *Dirichlet eigenvalues of a measure geometric Laplacian through a modified trigonometric function and characteristic polynomials*

**Parallel Session 3**

Victor Sirvent: *Space-filling curves, expanding maps on the circle and geodesic laminations.*

Tom Kempton: *Measures on Slices and Equidistribution for Sets of beta-expansions.*

Artemii Berlinkov: *On random fractals with infinite branching: definition, measurability, dimensions*

\'{A}bel Farkas: *Linear images of self-similar sets with no separation condition*

Changhao Chen: *Projections of random covering sets*

Anna Soos: *Stochastic spline fractal interpolation function*

Krzysztof Le\'{s}niak: *Random iteration and disjunctive processes*

## Tuesday

**Morning Session**

Michel L. Lapidus: *Fractal Zeta Functions and Complex Dimensions: A General Higher-Dimensional Theory.*

Michel L. Lapidus: *JFG*

De-Jun Feng: *Self-similar subsets of the Cantor set*

Michal Rams: *Entropy of Lyapunov-optimizing measures of some matrix cocycles*

Yakov Pesin: *Rescaling invariants of dynamical systems*

Boris Solomyak: *Absolutely Continuous Convolutions of Singular Measures and an Application to the Square Fibonacci Hamiltonian*

Ben Hambly: *Spectral asymptotics for random self-similar fractals*

**Parallel Session 1**

Naotaka Kajino: *Spectral volume measure via the Dixmier trace for Dirichlet spaces with Weyl type eigenvalue asymptotics*

Daniel Kelleher: *From Self Similar groups to intrinsic metrics: Vector analysis for Dirichlet forms on fractals*

Joe Chen: *Maxima and entropic repulsion of Gaussian free fields on fractal-like graphs*

Maria Agostina Vivaldi: *Regularity results for solutions in the Koch snowflake domain.*

Roberto Peirone: *Uniqueness of Eigenforms on Fractals*

Patricia Alonso-Ruiz: *Energy and Laplacian on Hanoi-type fractal quantum graphs*

Raffaela Capitanelli: *Reinforcement problems for fractal structures*

**Parallel Session 2**

Balazs Barany: *On invariant measures of IFSs with place-dependent probabilities and the Blackwell measure*

Tuomas Sahlsten: *Equidistribution modulo 1 and Fourier transforms of equilibrium states*

Anthony Samuel: *Intermediate $\beta$-shifts of finite type*

Johannes Jaerisch: *Dynamics of infinitely generated expanding semigroups of rational maps*

Sascha Troscheit: *Differentiability of self-conformal devil's staircases*

Rüdiger Zeller: *Branching dynamical systems and slices through fractals*

Marc Rauch: *A Variational Principle for Measurable Potentials*

**Parallel Session 3**

Vuksan Mijovic: *Multifractal zeta functions*

Andrzej Stos: *On measures driven by Markov chains*

Samuel Nicolay: *A weak local irregularity property in the $S^\nu$ spaces*

C\'{e}line Esser: *A new multifractal formalism based on wavelet leaders: detection of non concave and non increasing spectra (Part I)*

Thomas Kleyntssens: *A new multifractal formalism based on wavelet leaders: detection of non concave and non increasing spectra (Part II)*

Adrien Deli\`{e}ge: *A multifractal-based climate analysis*

Laurent Simons: *About the multifractal nature of Cantor's bijection*

## Wednesday

**Morning Session**

Giuseppe Savare: *Calculus, transport and Heat flow in metric measure spaces*

Jun Kigami: *Volume doubling property, quasisymmetry and time change of Brownian motion*

Klaus Mecke: *Morphometry of Fractals: Scaling of Minkowski Tensors*

Karoly Simon: *Fractals and Complex Networks*

Jonathan Fraser: *Inhomogeneous iterated functions systems*

Michael Hinz: *$1$-forms and vector fields on fractals*

## Thursday

**Morning Session**

Mark Pollicott: *The Apollonian Gasket and its dimension*

Pablo Shmerkin: *Absolute continuity of self-similar measures*

Julien Barral: *Percolation on a Gibbs weighted tree*

Esa and Maarit Järvenpää: *Dimensions of random covering sets in torus*

Zoltan Buczolich: *Averages along the squares on the torus*

Manuel Mor\'{a}n: *Two problems on self-similar geometry*

Antti Käenmäki: *Dynamics of the scenery flow and geometry of measures*

**Parallel Session 1**

Tam\'{a}s Keleti: *The size of sets containing squares centered at every point*

Ville Suomala: *Intersection properties of spatially independent martingale measures*

Xiong Jin: *Projections for random self-similar measures and sets*

Andrey Tetenov: *Some rigidity properties of self-simiar Jordan arcs*

Andr\'{a}s M\'{a}th\'{e}: *Sets of large dimension not containing polynomial configurations*

Tuomo Ojala: *Thin and Fat sets in metric spaces*

Viktor Kiss: *A counterexample to the Keleti perimeter to area conjecture*

**Parallel Session 2**

Steffen Winter: *Local characterization of Minkowski contents*

Erin Pearse: *Fractal curvatures: tube formulas and measurability*

John Rock: *Box-counting zeta functions and complex dimensions*

Tilman Bohl: *Minkowski content and curvature measures of random self-conformal fractals*

Dusan Pokorny: *Scaling exponents of curvature measures*

Marcel Schmidt: *The Ihara zeta function for infinite graphs I*

Felix Pogorzelski: *The Ihara zeta function for infinite graphs II*

**Parallel Session 3**

Grygoriy Torbin: *On the Hausdorff dimension faithfulness of net coverings and fractal properties of essentially non-normal numbers*

Casey Donoven: *Groups of Homeomorphisms of Cantor Sets*

Roman Nikiforov: *On fractal phenomena connected with infinite linear IFS and properties of non-normal numbers*

Mykola Lebid: *On the Hausdorff dimension faithfulness and the Cantor series expansion*

Henna Koivusalo: *A shrinking target problem for typical affine sets*

Oleksandr Slutskyi: *On sharp condition for packing dimension preservation under transformations generated by random $s$-adic expansion*

Irmina Herburt: *On Lipschitz maps and dimension*

## Friday

**Morning Session**

Rostislav Grigorchuk: *From Fractal Groups to Fractal Sets and Spectra*

Ka-Sing Lau: *Spectral property of self-similar sets and measures*

Michael Hochman: *Dimension of self-similar sets in $R^d$ (with overlaps)*

Marc Kesseböhmer: *On the quantization for self-affine measures on Bedford-McMullen carpets*

Andr\'{a}s Telcs: *The first step of the Brownian sheep *

St\'{e}phane Seuret: *Prescription of multifractal spectrum*

Christoph Bandt: *$1/f$ noise and order patterns *

**Parallel Session 1**

Nallapu Vijender: *Convex/Concave Bivariate Rational Fractal Interpolation Function*

Puthan Veedu Viswanathan: *A New Approach to Positivity Preserving Interpolation Using Smooth $\alpha$-Fractal Functions*

**Parallel Session 2**

Miroslav Rypka: *Basin of attraction of general IFSs*

Levente Simon: *The argument of Hausdorff-dimension for the representation of the strategies playing in the stochastic prisoner’s dilemma on probabilistic graphs with the Fruchterman-Reingold algorithm*