## Program of Summer Symposium in Real Analysis XXVII

#### WHEN: June 23-29, 2003 WHERE:Opava, Czech Republic

Breakfasts are served at 7:00-10:00 every day in the Hotel Belaria.

Sunday, June 22
Afternoon and evening
 12:00 Local Registration in the Hotel Belaria 12:00 Dinner

Monday, June 23
Morning Session
Chair: Petra SINDELAROVA
 8:30 - 9:00 Opening Ceremony 9:00 - 9:20 Sebastian LINDNER: Some properties of the measure $v_f$ connected with a variation of a continous function $f$ 9:30 - 9:50 Petr HOLICKY: Absolute Borel classes and Borel maps 10:00 - 10:20 Coffee 10:20 - 11.20 Zbigniew NITECKI: Entropy and Preimage Sets 11:30 - 11:50 Tamas KELETI: Borel classes of sets of extreme and exposed points in $R^n$ 12:00 Lunch

Afternoon Session
Chair: Andrew BRUCKNER
 13:40 - 14:00 Lubomir SNOHA: Minimal sets of extensions in discrete dynamics 14:10 - 14:30 Petra SINDELAROVA: Proof of a conjecture on $\omega$-limit sets 14:40 - 15:00 Timothy H. STEELE: Notions of stability for discrete dynamical systems 15:10 - 15:30 Ali ALIKHANI: On First Return Path Systems 15:30 - 15:50 Coffee 15:50 - 16:10 Jozef BOBOK: Entropy and level sets 16:20 - 16:40 Udayan B. DARJI: Smooth images of the irrationals 16:50 - 17:10 Jiri KUPKA: Triangular maps with the chain recurrent points periodic 18:30 Dinner 20:30 - 21:30 Evening Problem Session chaired by Paul HUMKE

Tuesday, June 24
Morning Session
Chair: Jaroslav SMITAL
 8:30 - 9:00 Piotr SWOROWSKI: Adjoint classes for generalized Riemann-Stieltjes integrals 9:00 - 9:20 Tim TRAYNOR: Denjoy versus KH-integral in $n$-space 9:30 - 9:50 Paul HUMKE: Almost every sequence integrates 10:00 - 10:20 Coffee 10:20 - 11.20 Jaroslav KURZWEIL: On Riemannian Approach to Integration 11:30 - 11:50 Stefan SCHWABIK: Integration in Banach spaces 12:00 Lunch

Afternoon Session
Chair: Wladyslaw WILCZYNSKI
 13:40 - 14:00 Pat MULDOWNEY: A Riemann approach to stochastic analysis 14:10 - 14:30 Luisa Di PIAZZA: The Pettis and the McShane integrals for Banach valued functions 14:40 - 15:00 Valentin A. SKVORTSOV: Dyadic Kurzweil-Henstock integral in Walsh-Fourier transform 15:10 - 15:30 Milan MATEJDES: Multifunction methods 15:30 - 15:50 Coffee 15:50 - 16:10 Valeria MARRAFFA: The Mc-Shane and the Kurzweil-Henstock integrals of functions taking values in a locally convex space 16:20 - 16:40 Andrzej RYCHLEWICZ: On generalizations of the notion of continuity of multifunctions in bitopological spaces 17:30 Dinner 18:15 Depart for Theatre

Wednesday, June 25
Hike in Jeseniky Mountains
 19:00 Dinner

Thursday, June 26
Morning Session
Chair: Clifford E. WEIL
 8:30 - 9:00 Marek LAMPART: Two kinds of chaos and relations between them 9:00 - 9:20 Brian S. THOMSON: VBG Functions 9:30 - 9:50 Krzysztof PLOTKA: Some Results on Axial Maps of Direct Product of Finite Sets 10:00 - 10:20 Coffee 10:20 - 10:40 Ondøej ZINDULKA: Universal measure zero sets with full Hausdorff dimension 10:50 - 11:10 Antonio BOCCUTO: Decomposition theorems in Riesz spaces 12:00 Lunch

Afternoon Session
Chair: Zbigniew NITECKI
 13:40 - 14:00 Emma D'ANIELLO: On locally Hölder functions 14:10 - 14:30 Tamas MATRAI: Functions with $L_p$ differences 14:40 - 15:00 Lech BARTOLOMIEJCZYK: Irregular scaling functions with orthogonal translations 15:10 - 15:30 Giuseppa RICCOBONO: An integral on a topological measure space 15:30 - 15:50 Coffee 16:00 - 17:00 Michal MISIUREWICZ: Not-quite-holomorphic dynamics 18:30 Dinner

Friday, June 27
Morning Session
Chair: Tim TRAYNOR
 9:00 - 9:20 Piotr SZUCA: Itinerary Lemma for some classes of discontinuous functions 9:30 - 9:50 Jacek HEJDUK: On the density type topologies on the real line 10:00 - 10:20 Coffee 10:20 - 11:20 Zoltan BUCZOLICH: A solution to the gradient problem of C. E. Weil 11:30 - 11:50 Marta STEFANKOVA: Distributional chaos for triangular maps 12:00 Lunch

Afternoon Session
Chair: Stefan SCHWABIK
 13:40 - 14:00 Gabriela DVORNIKOVA: Characterisation of $\alpha$-limit sets for continuous maps of the interval 14:10 - 14:30 Marcin SZYSZKOWSKI: Symmetric differtiation and monotonicity 14:40 - 15:00 Grazyna KWIECINSKA: On strong quasi-continuity of multivalued functions 15:10 - 15:30 Andrzej NOWAK: On regular selectors 15:30 - 15:50 Coffee 15:50 - 16:10 Jaroslav SMITAL: The triangular maps with zero topological entropy 16:20 - 16:40 Marton ELEKES: TBA 16:50 - 17:10 Marek BALCERZAK: Variants of the Steinhaus property 18:30 Symposium Banquet

Saturday, June 28
Morning Session
Chair: Brian S. THOMSON
 9:00 - 9:20 Natasha KHOLSHCHEVNIKOVA: The number of values for convergent trigonometric series 9:30 - 9:50 Rafal FILIPOW: On additive functions which are measurable 10:00 - 10:20 Coffee 10:20 - 11.20 Alexander OLEVSKII: Power series on the boundary 11:30 - 11:50 Jan KOLAR: Gradient ranges of bump functions on the plane 12:00 Lunch

Afternoon Session
Chair: Jack BROWN
 13:40 - 14:00 Grazyna HORBACZEWSKA: Some kinds of convergence with respect to small sets 14:10 - 14:30 Vyacheslav V. CHISTYAKOV: A selection principle for mappings of bounded variation of several variables 14:40 - 15:00 Andrzej NOWIK: Asymmetry between measure and category 15:10 - 15:30 Tomasz NATKANIEC: The $\cal I$-a.c. convergence of sequences of real functions 15:30 - 15:50 Coffee 15:50 - 16:10 Wladyslaw WILCZYNSKI: On Lebesgue Density Theorem 16:20 - 16:40 Elzbieta KUBINSKA: The Caratheodory functions 16:50 - 17:10 Omar DZAGNIDZE: On some new properties of functions of several variables 18:30 Dinner

Sunday, June 29
 Departures