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:
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.
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
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
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
14:00--20:00
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
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
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