REAL ANALYSIS EXCHANGE - St. Olaf College...Welcoming Remarks by Conference Director Patrick Reardon 9:00 U. Darji Applications of the Baire Category Theorem to three topics 10:10

REAL ANALYSISEXCHANGE

Summer Symposium in Real Analysis XXXIII"Tall Grass Prairie Symposium"

REPORT ON THE SUMMER SYMPOSIUM IN REALANALYSIS XXXIII

Southeastern Oklahoma State UniversityJUNE 23-27, 2009

January 12, 2010

The Thirty-Third Summer Symposium in Real Analysis (The Tall Grass Prairie Symposium) was hosted by SoutheasternOklahoma State University, June 23--27, 2009. The Editorial Board of the EXCHANGE wishes to express its gratitude toSoutheastern for its gracious hospitality and to the conference director, Patrick Reardon, for his outstanding leadership inorganizing and conducting this symposium. We'd also like to give a special thank you to the students who did so much tomake our stay enjoyable, Sarah Sprague (St. Olaf College) and Julie Aultman, Ryan Favors, Kevin Faulk and Cayce Roark(Southeastern). Furthermore, both Patrick and the Editorial Board sincerely thank The National Science Foundation, theGibson Fund and Southeastern for their financial and administrative support of this conference.

In addition to the formal mathematical program, time was set aside for research collaboration and a problem session. OnThursday afternoon, the symposium participants were treated to an informative and entertaining excursion to the nearbyHeadquarters and Museum of the Chickasaw Nation.

On Friday afternoon, the participants honored Jack Brown of Auburn University for his many contributions to the realanalysis community. "Testimonials" were given by Udayan Darji and Patrick Reardon, two of Jack's Ph.D. students atAuburn University. A slideshow of action pictures of Jack and Jane at previous symposia and mini-conferences was shownand presented to Jack who was (reluctantly) in attendance.

At the traditional Friday evening banquet, Conference Director Reardon awarded the ``ANDY'' to Ondřej Zindulka whowas overcome with irrational exuberance at the announcement. Congratulations, Ondřej!

The conference featured invited one-hour addresses by:

UDAYAN DARJIMÁRTIN ELEKESSTEVE JACKSON

as well as fifteen contributed talks. Following the participant list is the program of the Symposium, and then the summariesof the talks. The editorial board of the EXCHANGE wishes to thank the speakers for preparing these summaries.

PARTICIPANTS

Linda Akpu, Yurij Andreev, Jack Brown, Jane Brown, Svetlana Butler, Bishweshwar Choudary, Emma D'Aniello, Udayan

Summer Symposium 2009 file:///Users/analysis/Documents/SymposiaProceedings/2009-D...

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Darji, Mártin Elekes, Michael Evans, Jack Grahl, Paul, Humke, Steve Jackson, Ken Kellum, Samaila Kupongoh-Sylvanus,Veerabhadraiah Lokesha, Laurent Moonens, Paul Musial, Togo Nishiura, Lenka Obadalová, Innocent Opara, DokuboOsuo-Siseken, Patrick Reardon, Jaroslav Smítal, Sarah Sprague, T.H. Steele, Václav Vlasák, Woodford Zachary, OndřejZindulka.

PICTURES of the TALL GRASS PRAIRIE SYMPOSIUM

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

Pat presents this years Andy to an astonished, yet deserving Ondřej Zindulka. Later Ondřej contemplates the auraof the Andy


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Jack and Jane Brown at the Jack Celebration while Mike and Susan Evans, Emma D'Aniello and Sarah Spragueanalyze the proceedings.

Additional pictures of the SUMMER SYMPOSIUM XXXIII can be found at http://mat.fsv.cvut.cz/Zindulka/galleries/durant/

PROGRAM of the TALL GRASS PRAIRIE SYMPOSIUM

WEDNESDAY Morning Session (Chair - Paul Humke)

OPENING CEREMONYWelcoming Remarks by Conference Director Patrick Reardon

9:00 U. Darji Applications of the Baire Category Theorem to three topics

10:10 L. Moonens Mean Value Theorems for tangential derivatives

10:35 K. Kellum Functions that separate XxR

11:10 M. Evans Analogs of Young's characterization of Baire one, Darboux functions

11:35 Y. Andreev Note about nondifferentiable extensions of real functions


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WEDNESDAY Afternoon Session (Chair - Paul Musial)

13:10 T.H. Steele Adding machines and typical behavior of continuous self-maps of manifolds, Part I

13:35 E. D'Aniello Adding machines and typical behavior of continuous self-maps of manifolds, Part II

14:10 O. Zindulka Monotone spaces and nearly Lipschitz maps

14:35 W. Zachary Lebesgue measure on a version of R∞

THURSDAY Morning Session (Chair - Udayan Darji)

09:00 M. Elekes, The 2009 GIBSON Lecturer Hausdorff measures, Cantor sets, typical continuous functions and set theory

10:10 S. Butler Large deviations for martingales and derivatives

10:35 J. Grahl Convergence for the random Riemann integral

11:10 P. Musial New results for the Lr Henstock-Kurzweil integral

11:35 B. Choudhary Lacunary l-convergent sequences

FRIDAY Morning Session (Chair - Ondřej Zindulka)

09:00 S. Jackson Countable Borel equivalence relations, markers and group colorings

10:10 V. Vlasak Classes of H1 and H2 sets have different polars

10:35 L. Obadalová Distributional chaos and irregular recurrence

11:10 J. Smítal Distributional chaos and topological entropy


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