Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Mark_Kac> ?p ?o }
- Mark_Kac abstract "Mark Kac (/kɑːts/ KAHTS; Polish: Marek Kac; 3 August 1914 – 26 October 1984) was a Polish American mathematician. He was born to a Polish-Jewish family; their town, Kremenets (Polish: \"Krzemieniec\"), changed hands from the Russian Empire to Poland when Kac was a child. His main interest was probability theory. His question, \"Can one hear the shape of a drum?\" set off research into spectral theory, with the idea of understanding the extent to which the spectrum allows one to read back the geometry. (In the end, the answer was \"no\", in general.)Kac completed his Ph.D. in mathematics at the Polish University of Lwów in 1937 under the direction of Hugo Steinhaus. While there, he was a member of the Lwów School of Mathematics. After receiving his degree he began to look for a position abroad, and in 1938 was granted a scholarship from the Parnas Foundation which enabled him to go work in the United States. He arrived in New York City in November, 1938. With the onset of World War II, Kac was able to stay in America, while his parents and brother who remained in Western Ukraine were murdered by the Germans in the mass executions of the Jews of Krzemieniec (August 1942). From 1939 until 1961 he was at Cornell University, first as an instructor, then from 1943 as assistant professor and from 1947 as full professor. While there, he became a naturalized US citizen in 1943. In the academic year 1951–1952 Kac was on sabbatical at the Institute for Advanced Study. In 1952 Kac, with Theodore H. Berlin, introduced the spherical model of a ferromagnet (a variant of the Ising model) and, with J. C. Ward, found an exact solution of the Ising model using a combinatorial method. In 1961 he left Cornell and went to Rockefeller University in New York City. In the early 1960s he worked with George Uhlenbeck and P. C. Hemmer on the mathematics of a van der Waals gas. After twenty years at Rockefeller University, he moved to the University of Southern California where he spent the rest of his career.".
- Mark_Kac almaMater Lviv_University.
- Mark_Kac award Chauvenet_Prize.
- Mark_Kac award George_David_Birkhoff_Prize.
- Mark_Kac birthDate "1914-08-03".
- Mark_Kac birthPlace Kremenets.
- Mark_Kac deathDate "1984-10-26".
- Mark_Kac deathPlace California.
- Mark_Kac doctoralAdvisor Hugo_Steinhaus.
- Mark_Kac doctoralStudent Abdulalim_A._Shabazz.
- Mark_Kac doctoralStudent Daniel_W._Stroock.
- Mark_Kac doctoralStudent Harry_Kesten.
- Mark_Kac doctoralStudent Murray_Rosenblatt.
- Mark_Kac doctoralStudent William_J._LeVeque.
- Mark_Kac doctoralStudent William_Newcomb.
- Mark_Kac field Mathematics.
- Mark_Kac knownFor Erdős–Kac_theorem.
- Mark_Kac knownFor Feynman–Kac_formula.
- Mark_Kac nationality Polish_language.
- Mark_Kac thumbnail Mark_Kac.jpg?width=300.
- Mark_Kac wikiPageExternalLink kac-mark.pdf.
- Mark_Kac wikiPageID "1062425".
- Mark_Kac wikiPageLength "11404".
- Mark_Kac wikiPageOutDegree "89".
- Mark_Kac wikiPageRevisionID "703763737".
- Mark_Kac wikiPageWikiLink Abdulalim_A._Shabazz.
- Mark_Kac wikiPageWikiLink Albert_Hibbs.
- Mark_Kac wikiPageWikiLink American_Academy_of_Arts_and_Sciences.
- Mark_Kac wikiPageWikiLink Balthasar_van_der_Pol.
- Mark_Kac wikiPageWikiLink Breadboard.
- Mark_Kac wikiPageWikiLink Brownian_motion.
- Mark_Kac wikiPageWikiLink California.
- Mark_Kac wikiPageWikiLink Capacitor.
- Mark_Kac wikiPageWikiLink Carus_Mathematical_Monographs.
- Mark_Kac wikiPageWikiLink Category:1914_births.
- Mark_Kac wikiPageWikiLink Category:1984_deaths.
- Mark_Kac wikiPageWikiLink Category:20th-century_American_mathematicians.
- Mark_Kac wikiPageWikiLink Category:American_Jews.
- Mark_Kac wikiPageWikiLink Category:American_people_of_Polish-Jewish_descent.
- Mark_Kac wikiPageWikiLink Category:Cornell_University_faculty.
- Mark_Kac wikiPageWikiLink Category:Guggenheim_Fellows.
- Mark_Kac wikiPageWikiLink Category:Institute_for_Advanced_Study_visiting_scholars.
- Mark_Kac wikiPageWikiLink Category:Polish_Jews.
- Mark_Kac wikiPageWikiLink Category:Polish_emigrants_to_the_United_States.
- Mark_Kac wikiPageWikiLink Category:Polish_mathematicians.
- Mark_Kac wikiPageWikiLink Category:Presidents_of_the_Institute_of_Mathematical_Statistics.
- Mark_Kac wikiPageWikiLink Category:Probability_theorists.
- Mark_Kac wikiPageWikiLink Category:Researchers_in_stochastics.
- Mark_Kac wikiPageWikiLink Category:University_of_Southern_California_faculty.
- Mark_Kac wikiPageWikiLink Chauvenet_Prize.
- Mark_Kac wikiPageWikiLink Cornell_University.
- Mark_Kac wikiPageWikiLink Daniel_W._Stroock.
- Mark_Kac wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Mark_Kac wikiPageWikiLink Erdős–Kac_theorem.
- Mark_Kac wikiPageWikiLink Feynman–Kac_formula.
- Mark_Kac wikiPageWikiLink Geometric_shape.
- Mark_Kac wikiPageWikiLink George_David_Birkhoff_Prize.
- Mark_Kac wikiPageWikiLink George_Uhlenbeck.
- Mark_Kac wikiPageWikiLink Gian-Carlo_Rota.
- Mark_Kac wikiPageWikiLink Hans_Bethe.
- Mark_Kac wikiPageWikiLink Harry_Kesten.
- Mark_Kac wikiPageWikiLink Hearing_the_shape_of_a_drum.
- Mark_Kac wikiPageWikiLink History_of_the_Jews_in_Poland.
- Mark_Kac wikiPageWikiLink Hugo_Steinhaus.
- Mark_Kac wikiPageWikiLink Institute_for_Advanced_Study.
- Mark_Kac wikiPageWikiLink Ising_model.
- Mark_Kac wikiPageWikiLink John_Clive_Ward.
- Mark_Kac wikiPageWikiLink Kremenets.
- Mark_Kac wikiPageWikiLink Lester_R._Ford.
- Mark_Kac wikiPageWikiLink Lviv_University.
- Mark_Kac wikiPageWikiLink Lwów_School_of_Mathematics.
- Mark_Kac wikiPageWikiLink Mathematician.
- Mark_Kac wikiPageWikiLink Mathematics.
- Mark_Kac wikiPageWikiLink Murray_Rosenblatt.
- Mark_Kac wikiPageWikiLink National_Academy_of_Sciences.
- Mark_Kac wikiPageWikiLink Niels_Bohr.
- Mark_Kac wikiPageWikiLink Norbert_Wiener.
- Mark_Kac wikiPageWikiLink Path_integral_formulation.
- Mark_Kac wikiPageWikiLink Paul_Erdős.
- Mark_Kac wikiPageWikiLink Per_Christian_Hemmer.
- Mark_Kac wikiPageWikiLink Polish_Americans.
- Mark_Kac wikiPageWikiLink Polish_language.
- Mark_Kac wikiPageWikiLink Probabilistic_number_theory.
- Mark_Kac wikiPageWikiLink Probability.
- Mark_Kac wikiPageWikiLink Resonator.
- Mark_Kac wikiPageWikiLink Richard_Feynman.
- Mark_Kac wikiPageWikiLink Rockefeller_University.
- Mark_Kac wikiPageWikiLink Scuola_Normale_Superiore_di_Pisa.
- Mark_Kac wikiPageWikiLink Sieve_theory.
- Mark_Kac wikiPageWikiLink Spectral_theory.
- Mark_Kac wikiPageWikiLink Stanislaw_Ulam.
- Mark_Kac wikiPageWikiLink University_of_Southern_California.
- Mark_Kac wikiPageWikiLink Van_der_Waals_equation.
- Mark_Kac wikiPageWikiLink Wiener_process.
- Mark_Kac wikiPageWikiLink William_J._LeVeque.
- Mark_Kac wikiPageWikiLink William_Newcomb.
- Mark_Kac wikiPageWikiLink World_War_II.
- Mark_Kac wikiPageWikiLinkText "Kac".
- Mark_Kac wikiPageWikiLinkText "Kac, Mark".
- Mark_Kac wikiPageWikiLinkText "M. Kac".