Symposium 35 – Budapest, 2011

SUMMER SYMPOSIUM IN REAL ANALYSIS XXXV
"The Symposium on the Danube"

The Rényi Mathematical Institute and Eötvös Loránd University
June 5-11, 2011

The Thirty-Fifth Summer Symposium in Real Analysis (The Symposium on the Danube) was hosted by The Rényi Mathematical Institute and Eötvös Loránd University in Budapest, Hungary, June 5 -- 11, 2011. The Editorial Board of the EXCHANGE wishes to express its gratitude to The Rényi Institute and Eötvös University for their gracious hospitality and to the conference director, M\'rton Elekes, for his outstanding leadership in organizing and conducting this symposium. We'd also like to thank local organizers T\'amas Keleti and Dezs\H o Miklos for their tireless efforts on our behalf. Your efforts made our experience in Budapest memorable both intellectually and culturally. Thank you!

In addition to the formal mathematical program, time was set aside for research collaboration and a lively Wednesday afternoon problem session. On Thursday afternoon, the symposium participants were treated to a Danube cruise to Visegr\'ad where we hiked to the river fortress, toured the castle and were later treated to a rennaisance banquet before returning by boat to Budapest under the stars. This years ``ANDY'' was awarded to a shocked but grateful {\bf Slawomir Solecki}. Congratulations, Slawa!

The conference featured invited one-hour addresses by:

  • Mikl\'os Laczkovich (Budapest)

  • Alexander Olevskii (Tel Aviv)

  • Yuval Peres (Microsoft Research\&Berkeley)

  • Slawomir Solecki (Urbana)

as well as twenty-nine contributed talks. Following the participant list is the program of the Symposium, and then the summaries of the talks. The editorial board of the {\bf EXCHANGE} wishes to thank the speakers for preparing these summaries.

PARTICIPANTS

Giovanni Alberti, (University of Pisa)
Pieter Allaart, (University of North Texas, Denton)
Yulia Bagderina, (Ufa Scientific Center of Russian Academy of Sciences)
Rich\'ard Balka, (R\'enyi Institute, Budapest)
Pawel Barbarski, (University of Gda\'nsk)
Jozef Bobok, (Czech Technical University, Prague)
Zolt\'an Boros, (University of Debrecen)
Zolt\'an Buczolich, (E\"otv\"os Lor\'and University, Budapest)
Paola Cavaliere, (University of Salerno)
Donald L. Cohn, (Suffolk University, Boston)
Marianna Cs\"ornyei, (University College London )
Emma D'Aniello, (Seconda Universita' degli Studi di Napoli)
Paolo de Lucia, (University Federico II of Naples)
Luisa Di Piazza, (University of Palermo)
Martin Dolezal, (Charles University, Prague)
Robert Drozdowski, (Pedagogical University, S{\l}upsk)
M\'arton Elekes , (R\'enyi Institute, Budapest)
Paul Humke, (St. Olaf College, Northfield)
Szymon G{\l}\c{a}b, (Technical University of {\L}\'od\'z)
Jack Grahl, (University College London )
Viktor Harangi, (R\'enyi Institute, Budapest)
Petr Holicky, (Charles University, Prague)
Pankaj Jain, (University of Delhi)
Piotr Kalemba, (University of Silesia, Katowice)
Pedro Levit Kaufmann, (University of São Paulo)
Kiko Kawamura, (University of North Texas, Denton)
Tam\'as Keleti, (E\"otv\"os Lor\'and University, Budapest)
Gergely Kiss, (E\"otv\"os Lor\'and University, Budapest)
Martin Koc, (Charles University, Prague)
Stanislaw Kowalczyk, (Pedagogical University, S{\l}upsk)
Adam Kwela, (University of Gda?sk)
Grazyna Kwiecinska, (Pedagogical University, S{\l}upsk)
Miklós Laczkovich, (E\"otv\"os Lor\'and University, Budapest)
Pavel Ludvik, (Charles University, Prague)
Rick Mabry, (Louisiana State University, Shreveport)
Andr\'as M\'ath\'e, (University of Warwick)
Grzegorz Matusik, (University of Gda\'nsk)
Radu Miculescu, (University of Bucharest)
Giselle Antunes Monteiro, (University of São Paulo)
Nikodem Mrozek, (University of Gda\'nsk)
Kazimierz Musial, (University of Wroc{\l}aw)
Paul Musial, (Chicago State University)
Tomasz Natkaniec, (University of Gda\'nsk)
Lenka Obadalova, (Mathematical Institute, Opava)
Alexander M. Olevskii, (Tel Aviv University)
Pawel Pasteczka, (University of Warsaw)
Yuval Peres, (Berkeley/Microsoft Research)
Pamela Pierce, (The College of Wooster)
Ursino Pietro, (University of Catania)
Szymon Plewik, (University of Silesia, Katowice)
Dusan Pokorny, (Charles University, Prague)
Stanislav Ponomarev, (Pedagogical University, S{\l}upsk)
Ireneusz Recław, (University of Gda\'nsk)
Szil\'ard R\'ev\'esz , (R\'enyi Institute, Budapest)
Giuseppa Riccobono, (University of Palermo)
Martin Rmoutil, (Charles University, Prague)
Imre Z. Ruzsa, (R\'enyi Institute, Budapest)
Vermont Rutherfoord, (Florida Altantic University, Boca Raton)
Valentin Skvortsov, (Kazimierz the Great University, Bydgoszcz)
Slawomir Solecki, (University of Illinois at Urbana-Champaign)
Filip Strobin, (Polish Academy of Sciences, Technical University of {\L}\'od\'z)
Marcin Szyszkowski, (University of Gda\'nsk)
Francesco Tulone, (University of Palermo)
L\'aszló Vajday, (University of Debrecen)
Zolt\'an Vidny\'anszky, (E\"otv\"os Lor\'and University, Budapest)
Vaclav Vlasak, (Charles University, Prague)
Hans Weber, (University of Udine)
Anna Wojciechowska, (University of Silesia, Katowice)
Ondrej Zindulka, (Czech Technical University, Prague)

PICTURES of the SYMPOSIUM ON THE DANUBLE

Pictured above are the participants of the Thirty-fifth Summer Symposium in Real Analysis.

Clockwise from the top: the view from the Visigrád fortress; Hungarian Knight's armor at Visigrád the entrance to the fortress hike and the magnificent Danube Bend.
Lower: Tamás, András and Zoli keep an eye on things;

PROGRAM of THE SYMPOSIUM ON THE DANUBE

Monday, Session 1

09:30       Y. Peres                   Hausdorff dimension for subshifts invariant under the multiplicative integers

010:50      Z. Buczolich                   Hölder spectrum of functions monotone in several variables

11:10       S. Ponomarev                   On some properties of von Koch curves

11:30       R. Balka                   Topological Hausdorff dimension and level sets on fractals

11:50       P. Allaart                   On the level sets of Takagi's function

Monday, Session 2

14:30       N. Mrozek                   Egoroff ultrafilters

14:50       Sz. Révész                   On Asymptotic uniform upper density on LCA groups

15:10       G. Kwiecinska                   B-measurability of multifunctions of two variables

15:50       A. Wojciechowska                   On ideals which could be associated to a poset of trees

15:30       J. Grahl                   Strong convergence of the random Riemann integral

Tuesday, Session 1

09:30      S. S. Solecki                   Fixed points, Ramsey theorems, concentration of measure, and submeasures

10:50       P. Ludvik                   Distances to spaces of first H-class

11:10       T. Natkaniec                   Covering an additive function by less than continuum many continuous functions

11:30       M. Dolezal                   Infinite games and sigma porosity

11:50       I. Recław                   Sets of filter convergence and divergence to infinities of sequences of continuous functions for Borel filters

Tuesday, Session 2

14:30       R. Mabry                   Recent "improvements" of the Lebesgue measure

14:50       P. Cavaliere                   A density theorem in measure theory

15:10       P. De Lucia                   Some consequences of a density theorem in measure

16:10       M. Szyszkowski                   The range of a measurable function

15:30       O. Zindulka                   Meager-additive sets through the prism of fractal dimension

Wednesday, Session 1

09:30      G. A. Monteiro                   On Kurzweil-Stieltjes integral in a Banach space

09:50      Y. Bagderina                   Linearizable systems of two second-order ordinary differential equations

10:10      L. Di Piazza                   Variational measures and Radon-Nikodym property

10:50       P. Pasteczka                   When is a family of generalized means a scale?

11:10       P. Musial                   Functions of Lr Bounded Variation

11:30       K. Musial                   A characterization of the weak Radon Nykodým property by finitely additive interval functions

11:50       V. Rutherfoord                   Negligible Variation and the Change of Variables Theorem for Generalized Integrals

Wednesday, Session 2

14:30       Z. Boros                   Conditions for non-negativity of quadratic functions

14:50       R. Drozdowski                   On the almost uniform convergence and the first class Baire functions

15:50--17:30       Problem Session

Thursday, Session 1

09:30      A. Olevskii                   High dimensional interpolation

10:50       V. Vlasák                   The size of the classes of HNsets

11:10       V. Skvortsov                   Quasi-measure in harmonic analysis and its integral representation

11:30       F. Tulone                   Henstock and Perron type integral on a compact zero-dimensional metric space

11:50       Z. Vidnyánszky                   Coanalytic transfinite constructions

Thursday Afternoon Excursion

14:00--20:00       Danube cruise to Visegrád and dinner

Friday, Session 1

09:30      P. L. Kaufmann                   Lineability and spaceability among sets of integrable functions

9:50       F. Strobin                   Dichotomies for Lorentz spaces

10:10       L. Vajday                   Moment functions on a type of hypergroups on non-negative reals

10:50       L. Obadalova                   Topological entropy and irregular recurrence

11:10       E. D'Aniello                   Chaos among self-maps of an n-dimensional manifold and of the Cantor space

11:30       G. Matusik                   Dynamical systems generated by Hamel functions

11:50       J. Bobok                   The topological entropy of Banach spaces

Friday, Session 2

14:30       R. Miculescu                   Some applications of fixed point theorems in the theory of generalized IFSs

14:50       S. Kowalczyk                   On the omega-problem

15:10       P. Jain                   Certain generalized weighted spaces of Lebesgue type

Saturday, Session 1

09:30      S. Głąb                   Strong algebrability of sequences and functions

09:50       A. Máthé                   Affine copies of random sequences in sets of positive measure

10:10       M. Koc                   On Kantorovich's result on the symmetry of Dini derivatives

10:50       P. Barbarski                   The Sharkovskii Theorem for spaces of measurable functions

11:10       M. Laczkovich                   Iterated integrals