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Geometry of Deterministic and Random Fractals

Honouring the 60+1st birthday of Professor Károly Simon

27th June 2022 - 1st July 2022

Budapest University of Technology and Economics

Aims and Scopes

The workshop focuses on the recent developments of geometric measure theory, dimension theory of dynamical systems, the geometry of random and deterministic fractals, and related topics. It also provides an ideal occasion to discuss the new directions of the research, to exchange ideas, and to evolve new collaborations. The workshop is dedicated to celebrating the 60+1st birthday of Károly Simon.

Károly Simon

Károly Simon is a mathematics professor at the Budapest University of Technology and Economics (BME). Currently, he is the head of the Department of Stochastics at BME and holds a temporary professorship at Alfréd Rényi Institute of Mathematics. He is internationally acclaimed for his contributions in dynamical systems, fractal geometry, and geometric measure theory. Besides influencing through his theoretical results, he also puts great emphasis and detail on passing on his knowledge whether it be a talk to experts in the field, a minicourse for postgraduates or a module for undergraduates. Anyone can attest to this who has heard him speak about mathematics in his trademark energetic style using two projectors and additional blackboards. Károly Simon was awarded the Tibor Szele Memorial Prize by the János Bolyai Mathematical Society for his outstanding work in mentoring young mathematicians, noticing and developing talent early on. Károly has six former PhD students who have already defended their theses and works at prestigious universities or at esteemed financial firms. Currently, he supervises two PhD students and several Master and Bachelor students. The fractal and the broader dynamical systems community is very pleased to have Károly and wish him all the best and would like to thank all his dedication and contribution on the occasion of his 60(+1)-th birthday.

Special Issue

A Special Issue published by Mathematical and Computational Applications (MDPI) will collect contributions from the workshop. Papers of exceptional quality, after thorough peer-review, will be published free of charge. Original research articles, review articles as well as short communications are invited.

Book of abstracts

The book of abstracts together with the detailed program of the conference is available here.


The presentation slides of the conference can be found here.


The photos taken at the conference are available in this shared folder.

Invited Speakers

Kenneth Falconer

Professor, University of St. Andrews, UK

Title: Projections or Random Images of Fractals - What’s the Difference?

Thursday, 30th June, 11:00-11:45

Mike Hochman

Professor, The Hebrew University, Israel

Title: An entropy version of Bourgain’s projection theorem

Wednesday, 29th June, 9:00-9:45

Thomas Jordan

Professor, University of Bristol, UK

Title: Lyapunov dimension away from the strongly irreducible case

Thursday, 30th June, 9:00-9:45

Júlia Komjáthy

Associate professor, Delft University of Technology, Netherlands

Title:One-neighborhood biased first passage percolation on scale-free spatial random graphs

Monday, 27th June, 14:15-15:00

Pertti Mattila

Professor emeritus, University of Helsinki, Finland

Title: Hausdorff dimension of level sets and intersections

Monday, 27th June, 11:15-12:00

Mark Pollicott

Professor, University of Warwick, UK

Title: Estimating dimension, exponents and drift

Friday, 1st July, 11:40-12:25

Feliks Przytycki

Professor, IMPAN, Poland

Title: No hyperbolic subsets in solenoidal sets for quadratic polynomials

Tuesday, 28th June, 9:00-9:45

Peter Raith

Professor, University of Vienna, Austria

Title: On fractal dimensions of invariant sets for low dimensional dynamical systems

Friday, 1st July, 9:00-9:45

Pablo Shmerkin

Professor, University of British Columbia, Canada

Title: Slices and tubes through self-similar sets

Wednesday, 29th June, 11:00-11:45

Boris Solomyak

Professor, Bar-Ilan University, Israel

Title: (Almost) thirty years of transversality method

Monday, 27th June, 9:15-10:00

Mariusz Urbański

Professor, University of North Texas, USA

Title: The exact value of Hausdorff dimension of escaping sets of class B of meromorphic functions

Tuesday, 28th June, 11:00-11:45

Social programs and Visits


Monday, 27th June Tuesday, 28th June Wednesday, 29th June Thursday, 30th June Friday, 1st July
9:00-9:15 Opening 9:00-9:45
F. Przytycki
M. Hochman
T. Jordan
P. Raith
B. Solomyak
N. Jurga
A. Rapaport
Z. Buczolich
S. Baker
T. Kucherenko
M. Urbanski
P. Shmerkin
K. Falconer
D. Allen
P. Mattila
M. Pollicott
C. Wolf
11:55-12:10 A. Yavicoli 11:55-12:25
F. Ledrappier
12:10-12:25 W. O'Regan 12:10-14:00
Lunch break
Lunch break
Lunch break
Lunch break
Excursion to
J. Komjáthy
A. Käenmäki
P. Allaart
14:55-15:10 A. Spiewak 14:55-15:10 A. Banaji
15:15-15:30 K. Czudek 15:15-15:30 A. Soós* 15:15-15:30 A. Rutar
16:05-16:20 R. Miculescu 16:05-16:20 X. Zhang 16:05-16:20 Á. Farkas
16:25-16:40 V. Siwach 16:25-16:40 J. Ratsaby 16:25-16:40 T. Jones
16:45-17:00 M. Tripathi 16:45-17:00 C. Wormell 16:45-17:00 B. Ward
17:05-17:20 V. Agrawal* 17:05-17:20 S. Kittle 17:05--

The detailed program together with the abstracts can be downloaded here.

Location and Venue

Hungary is among the top tourist destinations in Europe with the capital Budapest regarded as one of the most beautiful cities worldwide and Budapest has become one of Europe's best-loved short-break destinations and with good reason. The city has been called the 'Paris of the East', and romance is all around. Budapest has been voted "European Best Destination" by travellers and according to The Economist, it is the most livable city in the region. You can read more about what is it like to live in Hungary.

The campus of the Budapest University of Technology and Economics is located in the heart of Budapest – within easy reach of ample housing facilities, public services, historic sights and recreational facilities –, but it still provides a peaceful environment suitable for intense study and research. The campus is made up of two neighbouring parts, both located on the right bank of the River Danube, one of the most significant rivers of Europe. The traditional campus boasts beautiful, historic buildings and an elegant park, an inspiring place to stroll around and engage in discussions. The other part is located in the so called Info Park, home to university buildings and high-tech businesses. This is a more recent development highlighting modern architecture and an innovative, contemporary work environment.
The conference will be held at Building A of BME.

COVID-19 Note (March 7, 2022)

As of March 7th the epidemiological restrictions have been lifted in Hungary. The lifting of the special rules of access for certain services and events means that vaccination certificates are no longer required for entry to indoor congresses or conferences and accommodation establishments. Although there are no official regulations on wearing masks, we kindly ask the participants to keep wearing the mask during the talks and in the conference venue.
We are continuously monitoring the Covid-19 situation as well as guidelines by the Hungarian government and relevant associations and we will keep this webpage updated.

The latest rules to enter Hungary can be found at and


Budapest is the capital city of Hungary and the country’s principal political, cultural, commercial, industrial and transportation centre. With almost two million inhabitants, Budapest is the biggest and most densely-populated town in the country and over half of the nation’s GDP is generated here.


Budapest University of Technology and Economics, which was founded in 1782, has been the top higher education institution of Hungary and it also has a well-established international reputation. The foundation of the effectiveness of the university is the devoted educational activities of our professors and the hard work and enthusiasm of our students. These values ensure the stability and continuity of education, scientific research, and technological development at the institution.

Institute of Mathematics

The Institute of Mathematics was established in 1998. A specialty of their mathematics education is the introduction of students into various branches of applied mathematics based on the exceptional opportunities provided by the engineering environment. The Institute consists of five departments; Algebra, Analysis, Differential Equations, Geometry, and Stochastics. Their research is worldwide acknowledged in probability theory and related areas, in algebra and computer science, in operation research, in quantum information theory, and in mathematical physics.

Hotel Mediterran

The invited speakers will be accommodated in Hotel Mediterran. This 4-star hotel is located in the heart of Budapest, between Sas hill and Gellert hill (2 km from the city center). You can feel yourself at home in their friendly, Mediterranean-style rooms. Sauna and jacuzzi are available, so in addition to the conference, you can relax in your free time. Some hotels close to the conference venue are marked on the map below.

How to apply?


The Conference takes place between 27 June and 1 July 2022

Research talks take place each day from Monday to Friday between 9:00-12:30 and on Monday, Tuesday, and Thursday between 14:15-17:40.

The closing ceremony will be held on Friday, a trip to Székesfehérvár will take place on Wednesday.


The Conference on Geometry of Deterministic and Random Fractals takes place in Budapest, the capital city of Hungary.

More specifically, the venue of the conference is located at Building A of the Budapest University of Technology and Economics.

The venue is easily accessible from Hotel Mediterran via the bus line 212 and tram line 17 and 61.


For those who are interested, please register by sending an email to

Note that we can no longer have available spots for speakers but attende registration is still open.

Registration deadline: 11:59 pm, May 29, 2022.

There is no registration fee

Sponsors and Partners



Do you have any questions? Contact us at the address.

Scientific Organizing Committee

Balázs Bárány

Associate Professor, BME

István Kolossváry

Research Fellow, University of St. Andrews

Michał Rams

Associate Professor, Polish Academy of Sciences

Local Organizing Committee

Roland Molontay

Assistant Professor, BME

Marcell Nagy

PhD student, BME

Dániel Rudolf Prokaj

PhD student, BME

Andrea Széki

Project Coordinator, BME