Chris Freiling
Christopher Francis Freiling is a mathematician responsible for Freiling's axiom of symmetry in set theory.{{citation
| last = Mumford | first = David | author-link = David Mumford
| editor1-last = Arnold | editor1-first = V. | editor1-link = Vladimir Arnold
| editor2-last = Atiyah | editor2-first = M. | editor2-link = Michael Atiyah
| editor3-last = Lax | editor3-first = P. | editor3-link = Peter Lax
| editor4-last = Mazur | editor4-first = B. | editor4-link = Barry Mazur
| contribution = The dawning of the age of stochasticity
| location = Providence, RI
| mr = 1754778
| pages = 197–218
| publisher = American Mathematical Society
| title = Mathematics: Frontiers and Perspectives
| year = 2000}}. See in particular [https://books.google.com/books?id=qjVaD1OQbxEC&pg=PA208 p. 208]: "This leads us to the stunning result of Christopher Freiling (1986): using the idea of throwing darts, we can disprove the continuum hypothesis." He has also made significant contributions to coding theory, in the process establishing connections between that field and matroid theory.{{citation|title=Network Information Theory|first1=Abbas|last1=El Gamal|author1-link=Abbas El Gamal|first2=Young-Han|last2=Kim|publisher=Cambridge University Press|year=2011|isbn=9781139503143|page=171|url=https://books.google.com/books?id=Ack2AAAAQBAJ&pg=RA1-PA171|quote=Dougherty, Freiling, and Zeger (2005) showed via an ingenious counterexample that unlike the multicast case, linear network coding fails to achieve the capacity region of a general graphical multimessage network error-free. This counterexample hinges on a deep connection between linear network coding and matroid theory.}}
Freiling obtained his Ph.D. in 1981 from the University of California, Los Angeles under the supervision of Donald A. Martin.{{mathgenealogy|id=46539}} He is a member of the faculty of the Department of Mathematics at California State University, San Bernardino.[http://www.math.csusb.edu/index.php?main=staffDirectory.html Faculty/staff directory] {{Webarchive|url=https://web.archive.org/web/20161011034838/http://www.math.csusb.edu/index.php?main=staffDirectory.html |date=2016-10-11 }}, CSUSB Mathematics Department, retrieved 2015-04-11.
Selected publications
- {{Citation | last1=Freiling | first1=Chris | title=Axioms of symmetry: throwing darts at the real number line | doi=10.2307/2273955 | mr=830085 | year=1986 | journal=The Journal of Symbolic Logic | issn=0022-4812 | volume=51 | issue=1 | pages=190–200| jstor=2273955 | s2cid=38174418 }}
- {{citation
| last1 = Dougherty | first1 = Randall | author1-link = Randall Dougherty
| last2 = Freiling | first2 = Christopher
| last3 = Zeger | first3 = Kenneth
| doi = 10.1109/TIT.2005.851744
| issue = 8
| journal = IEEE Transactions on Information Theory
| pages = 2745–2759
| title = Insufficiency of linear coding in network information flow
| volume = 51
| year = 2005| s2cid = 2543400 | citeseerx = 10.1.1.218.5329
}}.
- {{citation
| last1 = Dougherty | first1 = Randall | author1-link = Randall Dougherty
| last2 = Freiling | first2 = Chris
| last3 = Zeger | first3 = Kenneth
| doi = 10.1109/TIT.2007.896862
| issue = 6
| journal = IEEE Transactions on Information Theory
| mr = 2321860
| pages = 1949–1969
| title = Networks, matroids, and non-Shannon information inequalities
| volume = 53
| year = 2007| s2cid = 27096 | citeseerx = 10.1.1.218.3066
}}.
References
{{reflist}}
External links
- [http://www.math.csusb.edu/faculty/freiling/index.php Home page]
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Category:20th-century American mathematicians
Category:21st-century American mathematicians
Category:University of California, Los Angeles alumni
Category:California State University, San Bernardino faculty
Category:Year of birth missing (living people)
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