1. MARK KAC SEMINAR MARK KAC SEMINAR NOTE Seminar on March 1st will be at Utrecht , Kromme Nieuwe Gracht 66, room 005 This page was designed by maddesign last updated February 19 - 2002 http://ssor.twi.tudelft.nl/~hofstad/kac

MARK KAC SEMINAR NOTE: Seminar on March 1st will be at Utrecht , Kromme Nieuwe Gracht 66, room 005 introduction talks archive 99-00 archive 00-01 contact location This page was designed by: mad-design last updated February 19 - 2002

2. MARK KAC SEMINAR MARK KAC SEMINAR. Announcement Our main speaker for next year will be Kurt http://www.win.tue.nl/markkac

MARK KAC SEMINAR Announcement: Our main speaker for next year will be Kurt Johansson from the KTH, Stockholm, Sweden. intoduction talks archive contact location This page was designed by: mad-design last updated March 3 - 2003

3. Kac Mark Kac. Born 3 Aug 1914 in Krzemieniec Mark Kac was born into a Jewishfamily in a Russian part of Poland. His date of birth was given http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Kac.html

Mark Kac Born: 3 Aug 1914 in Krzemieniec, Poland, Russian Empire Died: 26 Oct 1984 in California, USA Click the picture above to see three larger pictures Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Mark Kac was born into a Jewish family in a Russian part of Poland. His date of birth was given as 3 August on his birth certificate and this was the day on which, throughout his life, he celebrated his birthday. However, this was the date according to the Julian calendar that was used in czarist Russia at the time of his birth, since Poland at that time was part of the Russian Empire. He claimed that his actual date of birth was 16 August. In 1915 Europe was in the midst of World War I and Kac's family was evacuated further east into Russia. Mark Kac's father was an academic with a degree in philosophy from the University of Leipzig and a degree from Moscow in history and philology. During this time he made money tutoring in the family's one-room apartment. One of the topics he tutored was geometry and Mark, although only five years old, became fascinated by what his father was teaching and he persuaded his father to teach him some geometry. Describing this introduction to mathematics in [4], [5] he said:- ... at that time my father despaired because at the same time I was exceedingly bad learning multiplication tables. That one could know how to prove theorems of elementary geometry without knowing how much seven times nine was seemed more than slightly strange.

4. Quotation By Mark Kac Mark Kac (1914 1984). there are those who believe that mathematicscan sustain itself and grow without any further contact http://www-gap.dcs.st-and.ac.uk/~history/Quotations2/1026.html

Mark Kac ... there are those who believe that mathematics can sustain itself and grow without any further contact with anything outside itself, and those who believe that nature is still and always will be one of the main (if not the main) sources of mathematical inspiration. The first group is identified as "pure mathematicians" (though "purist" would be more adequate) while the second is, with equal inadequacy, referred to as "applied". Quoted in R W Ritchie, New directions in mathematics

5. KAC MARK (in MARION) kac mark. Record 1 of 1. Kac, Mark. Mathematics and logic / Mark Kacand Stanislaw M. Ulam. New York Dover Publications, 1992. http://fnlib2.fnal.gov/MARION?A=KAC MARK

6. KAC MARK (in MARION) kac mark. Records 1 to 7 of 7. Kac, Mark. Discrete thoughts essayson mathematics, science, and philosophy / Mark Kac, GianCarlo http://vax.vmi.edu/MARION?A=KAC MARK

7. KAC MARK (in MARION) kac mark. Records 1 to 2 of 2. Kac, Mark. Enigmas of chance an autobiography/ Mark Kac. New York Harper Row, c1985. Holdings http://vax.vmi.edu/MARION?S=KAC MARK

8. Mark Kac Mark Kac. Mark Kac; A note on learning signal detection Feb 1962 pp. 126 128. Mark Kac was born in Krzemieniec, Poland, on August 3, 1914. http://www.telecom.tuc.gr/paperdb/it_50_years/profiles/2279.htm

9. Baseball\Cba\idxdraft Round 3. Brooklyn BSP Randy Wolf Kansas City kac mark Quinn Longue Pointe LHD RyanDempster Kilgore KBP Chris Holt Hicksville HRP Jerry Hairston Jr Brooklyn BSP http://sunapsis.crfs.umontreal.ca/cba/archives/draft00.htm

CBA 2000 draft Round 1 Stirling SRS Rick Ankiel Kansas City KAC Kris Benson Bodega Bay BMC Ben Petrick Canadian River CBC Tim Hudson Hicksville HRP Freddy Garcia Stirling SRS Ruben Mateo Bodega Bay BMC Todd Ritchie Washington WFD Jeff Weaver Montreal MRS Chris Singleton Washington WFD Warren Morris Washington WFD Chad Hermansen Stirling SRS Vernon Wells Canadian River CBC Billy Koch Philly PPS Erubiel Durazo Brooklyn BSP Scott Williamson Hamilton HHD Jeff Zimmerman Ottawa OOS Joe Mays Philly PPS Alfonso Soriano Stirling SRS Ryan Rupe Mackinaw City MBC Kip Wells Cooperstown CIC Ramon Ortiz Hicksville HRP AJ Burnett Philly PPS Peter Bergeron Stirling SRS Gil Meche Round 2 Round 2 Stirling SRS Joe Nathan Kansas City KAC Eric Gagne Stirling SRS Ramon Hernandez Kansas City KAC Lance Berkman Hicksville HRP Ed Yarnall Ste-Foy SFS Tony Armas Jr Quebec QCD Eric Owens Montecito MHD D'Angelo Jimenez Philly PPS Matt Riley Longue Pointe LHD Carlos Lee Mackinaw City MBC Jason LaRue Quebec QCD Ron Villone Canadian River CBC Terry Shumpert Philly PPS Julio Ramirez Brooklyn BSP Ted Lilly Hamilton HHD Joe McEwing Ottawa OOS Adam Kennedy Montreal MRS Kevin McGlinchy Mackinaw City MBC Olmedo Saenz Bodega Bay Jacques Jones Cooperstown CIC Aaron Myette Mackinaw City MBC Tom Davey Philly PPS Darryl Ward Stirling SRS Orber Moreno Round 3 Brooklyn BSP Randy Wolf Kansas City KAC Mark Quinn Longue Pointe LHD Ryan Dempster Kilgore KBP Chris Holt Hicksville HRP Jerry Hairston Jr

10. Nowo¶ci Ksi±¿kowe W Bibliotece IFT UW (26-Apr-2000) XI, 488 s. il. ; 24 cm. (Springer Series in SolidState Sciences ; 2) ISBN 3-540-60443-XCHANDRASEKHAR Sripati, kac mark, SMOLUCHOWSKI Roman 21608 Marian http://info.fuw.edu.pl/~bift/nowosci.009.html

Nowo¶ci ksi±¿kowe w Bibliotece IFT UW (26-Apr-2000) Starsze nowo¶ci

11. Marmot Library Network /Marmot Kabuki Japanese Drama And Theater 1956 1 Kabuki Music 1995 1 Kabuki Plays TranslationsInto English 2 Kabuki Terminology 1969 1 Kabyles 1977 1 kac mark 1985 1 http://www.millennium.marmot.org:90/kids/10,862,864/search/dKachinas./dkachinas/

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12. Nat'l Academies Press, Biographical Memoirs (1990), Mark Kac http://www.nap.edu/books/0309041988/html/214.html

Biographical Memoirs V.59 National Academy of Sciences ( NAS Related Books Openbook Linked Table of Contents Front Matter, pp. i-iv Table of Contents, pp. v-vi Preface, pp. vii-viii Title Page, pp. 1-1 Frederic C. Bartter, pp. 2-25 George Wells Beadle, pp. 26-53 Solomon A. Berson, pp. 54-71 Raymond Thayer Birge, pp. 72-85 William Henry Chandler, pp. 86-115 Gertrude Mary Cox, pp. 116-133 Conrad Arnold Elvehjem, pp. 134-167 Gottfried Samuel Fraenkel, pp. 168-195 Haldan Keffer Hartline, pp. 196-213 Mark Kac, pp. 214-235 Aldo Starker Leopold, pp. 236-255 Manfred Martin Mayer, pp. 256-281 Walsh McDermott, pp. 282-307 Theophilus Shickel Painter, pp. 308-337 Edward Lawrie Tatum, pp. 356-387 Cornelis Bernardus Van Niel, pp. 388-423 Robert H. Whittaker, pp. 424-445 Maxwell Mayer Wintrobe, pp. 446-472 Cumulative Index, pp. 473-486 THIS PAGE You may want to explore these Related Books Openbook Linked Table of Contents Front Matter, pp. i-iv Table of Contents, pp. v-vi Preface, pp. vii-viii Title Page, pp. 1-1 Frederic C. Bartter, pp. 2-25 George Wells Beadle, pp. 26-53

13. Podemos Oir La Forma De Un Tambor? En 1996, mark kac 6 propuso la siguiente pregunta se puede oir la forma de un tambor? http://www.cimat.mx/~gonzalo/drum/html/leo/doc.html

Podemos oir la forma de un tambor? Leonardo Navarro de Carvalho. En 1996, Mark Kac [ del plano es determinada por el espectro del Laplaciano en ? La respuesta es NO , y las siguientes dos regiones dan un contraejemplo: F IGURA A G , como en la figura. Considere en , esto es, . Es claro que f f F y A , y definimos g T como siendo la suma F A de los valores de f sobre F con los valores de f sobre A g g definida en como muestra la figura: F IGURA g ``se pega'' F IGURA en B D donde B D =0. Como A =0, tenemos que B D A en B A donde B A =0. Como D =0, tenemos que B D A en el paso de B apra C es (ver D para - E . Como - A =0 en , el paso para A Juntandose los pedazos y recomponiendo g , tenemos que el paso de B D A para C E A por es . Portanto la g en el interior de y f de en construimos una g asociada al mismo auto-valor de f f a partir de g donde y son isoespectrales. En [ ], Buser contruye dos superficies isoespectrales no planas, representadas en la figura: F IGURA F IGURA F IGURA Lo que nos resta hacer es contruir las variedades de Buser. En [ ], Sunada demuestra el siguiente teorema Teorema.

14. Kac Biography of mark kac (19141984) mark kac was born into a Jewish family in a Russian part of Poland. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Kac.html

Mark Kac Born: 3 Aug 1914 in Krzemieniec, Poland, Russian Empire Died: 26 Oct 1984 in California, USA Click the picture above to see three larger pictures Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Mark Kac was born into a Jewish family in a Russian part of Poland. His date of birth was given as 3 August on his birth certificate and this was the day on which, throughout his life, he celebrated his birthday. However, this was the date according to the Julian calendar that was used in czarist Russia at the time of his birth, since Poland at that time was part of the Russian Empire. He claimed that his actual date of birth was 16 August. In 1915 Europe was in the midst of World War I and Kac's family was evacuated further east into Russia. Mark Kac's father was an academic with a degree in philosophy from the University of Leipzig and a degree from Moscow in history and philology. During this time he made money tutoring in the family's one-room apartment. One of the topics he tutored was geometry and Mark, although only five years old, became fascinated by what his father was teaching and he persuaded his father to teach him some geometry. Describing this introduction to mathematics in [4], [5] he said:- ... at that time my father despaired because at the same time I was exceedingly bad learning multiplication tables. That one could know how to prove theorems of elementary geometry without knowing how much seven times nine was seemed more than slightly strange.

15. Mathematics And Logic (in MARION) Mathematics and logic. Title Mathematics and logic/ mark kac and Stanislaw M. Ulam. Author http://fnlib2.fnal.gov/MARION/AAD-0779

Mathematics and logic Title: Mathematics and logic / Mark Kac and Stanislaw M. Ulam. Author: Kac, Mark. Ulam, Stanislaw M. Source: New York : Dover Publications, 1992. Subject: Mathematics Popular works. Material: ix, 170 p. : ill. ; 21 cm. Note: Originally published: New York : Praeger, 1968, in series: Britannica perspective. Includes bibliographical references. Cataloged 21-JUN-1994. LC Card no: ISBN: 0486670856 (pbk.) System ID no: AAD-0779 Holdings: *MAIN* CALL NUMBER: QA93 .K24 1992 Book Available If you have a valid library card, you may place a hold on this title for pickup at the library. Contact the webmasters Start your search over Home

16. Can One Hear The Shape Of A Drum ? Mark Kac 1966 Institut Fourier UMR 5582 CNRS UJF Université Joseph Fourier, Grenoble Can one hear the shape of a drum ? mark kac 1966 (1914 1984) On ne peut pas entendre la forme dun tambour Carolyn Gordon, David Webb et Scott Wolpert http://www-fourier.ujf-grenoble.fr/~pberard/auxerre1.pdf

17. BIBCYT Autor: Alejandría BE 4.7.1.7r Translate this page Autor kac, mark, (Comienzo). 2 registros cumplieron la condición especificadaen la base de información BIBCYT. Registro 1 de 2, Base de información BIBCYT. http://bibcyt.ucla.edu.ve/cgi-win/be_alex.exe?Autor=Kac, Mark&Nombrebd=BIBCYT

18. References For Kac References for the biography of mark kac M Feigenbaum, An interview with Stan Ulam and mark kac, J. Statist. http://www-gap.dcs.st-and.ac.uk/~history/References/Kac.html

References for Mark Kac Books: K Baclawski and M D Donsker (eds.), Mark Kac : probability, number theory, and statistical physics, Mathematicians of Our Time (Cambridge, Mass.-London, 1979). M Kac, Enigmas of chance : an autobiography (California, 1987). Articles: L R Abramson, B Maher, V C Tartter and H W Norton, Statistical queries : "Statistical odds and ends", Amer. Sci. M Feigenbaum, An interview with Stan Ulam and Mark Kac, J. Statist. Phys. M Feigenbaum, Reflections of the Polish masters - an interview with Stanislaw Ulam and Mark Kac, Wiadom. Mat. M Flato, and E Lieb, Obituary : Mark Kac (1914-1984), Lett. Math. Phys. M Kac, Reply to "Statistical queries : Statistical odds and ends", Amer. Sci. H Kesten, The influence of Mark Kac on probability theory, Ann. Probab. H Kesten, Correction : "The influence of Mark Kac on probability theory", Ann. Probab. Mark Kac 1914-1984, Notices Amer. Math. Soc. Publications of Mark Kac, Ann. Probab. R A Raimi, The world should have known him better, (11 November, 1984).

19. Introduction Mark Kac Seminar mark kac SEMINAR. intoduction. talks. archive 9900 http://ssor.twi.tudelft.nl/~hofstad/kac/introduction.htm

MARK KAC SEMINAR intoduction talks archive 99-00 archive 00-01 contact location The `Mark Kac seminar on Probability and Physics ' is a monthly meeting held in Utrecht, The Netherlands, between probabilists and statistical physicists. The range of topics covered includes: Interacting particle systems Ergodic theory and dynamical systems Gibbs random fields and percolation Disordered media Quantum mechanics and quantum probability Stochastic processes and large deviations The seminar originally started in 1977 with informal meetings of a small group of Dutch mathematicians and physicists discussing topics in their common field of interest. Following a suggestion by P.W. Kasteleyn, one of the founding pathers of statistical physics in the Netherlands, the seminar was named after Mark Kac in 1985. Mark Kac had close contacts with many Dutch scientists and was a regular visitor until his death in 1984. His work is at the very core of the area in mathematical physics that the seminar tries to cover.

20. Mark Kac Seminar mark kac SEMINAR, Other related papers and preprints can also be downloaded fromWerners website. Email about the mark kac seminar to Remco van der Hofstad. http://ssor.twi.tudelft.nl/~hofstad/kac/A2000-2001.htm

MARK KAC SEMINAR intoduction talks archive 99-00 archive 00-01 contact location The archive of 2000-2001 consists of the files of the following talks. October 6 Erwin Bolthausesn Michiel van den Berg November 3 Hans Maassen Roberto Fernández December 1 Rob van den Berg Heinrich Matzinger February 2 Wendelin Werner Francesca Nardi March 2 Wendelin Werner Jean-Francois Le Gall March 30 Wendelin Werner Krist Maes April 27 Evgeni Verbitsky Francesca Nardi Main speaker 2000-2001 Wendelin Werner : Critical exponents, conformal invariance and planar Brownian motion Understanding and proving mathematically the striking predictions made by theoretical physics (Nienhuis, Cardy, Duplantier etc.) concerning the existence and value of critical exponents for some two-dimensional systems in statistical physics (such as self-avoiding walks, critical percoaltion, intersections of simple random walk) is a tantalising challenge for mathematicians that seems to be related to several braches of mathematics (probability theory, complex variables, representation theory of infinite-dimensional Lie algebras). The aim of these three lectures is to give an introduction to the subject and to present some mathematical progress obtained in recent joint work with Greg Lawler and Oded Schramm. In particular, we will describe the construction and properties of a conformally invariant random curve discovered by Schramm that turns out to be the only possible conformally invariant scaling limit of critical percolation cluster interfaces. For this random curve, one can recover most conjectures made by physicists concerning critical percolation and self-avoiding walks, and obtain a complete mathematical proof of the conjectures for simple random walks and Brownian motions.

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