# Russell Lyons

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{{short description|American mathematician}}
'''Russell David Lyons''' (6 September 1957) is an American mathematician, specializing in [probability theory](/source/probability_theory) on graphs, combinatorics, statistical mechanics, [ergodic theory](/source/ergodic_theory) and harmonic analysis.<ref name=IUNews>{{cite web|title=American Mathematical Society's first class of fellows includes six from IU Bloomington|website=IU News, Indiana University|date=9 November 2012|url=http://newsinfo.iu.edu/news-archive/23434.html}}</ref>

== Education and career ==
Lyons graduated with B.A. mathematics in 1979 from [Case Western Reserve University](/source/Case_Western_Reserve_University),<ref name=CV>{{cite web|title=Russell David Lyons, CV|website=Indiana University (iu.edu)|url=http://pages.iu.edu/~rdlyons/pdf/cv-web.pdf}}{{Dead link|date=October 2023 |bot=InternetArchiveBot |fix-attempted=yes }}</ref> where he became a [Putnam Fellow](/source/Putnam_Fellow) in 1977 and 1978.<ref name="MMA">{{cite web|title=Putnam Competition Individual and Team Winners |url=http://www.maa.org/programs/maa-awards/putnam-competition-individual-and-team-winners |publisher=[Mathematical Association of America](/source/Mathematical_Association_of_America)|access-date=December 13, 2021}}</ref> He received his Ph.D. in 1983 from the [University of Michigan](/source/University_of_Michigan) with the thesis ''A Characterization of Measures Whose Fourier-Stieltjes Transforms Vanish at Infinity'', which was supervised by [Hugh L. Montgomery](/source/Hugh_L._Montgomery) and [Allen Shields](/source/Allen_Shields).<ref>{{MathGenealogy|id=7100|title=Russell David Lyons}}</ref> Lyons was a postdoc for the academic years 1983–1985 at the [University of Paris-Sud](/source/University_of_Paris-Sud). He was an assistant professor at [Stanford University](/source/Stanford_University) from 1985 to 1990 and an associate professor at [Indiana University](/source/Indiana_University) from 1990 to 1994. At [Georgia Tech](/source/Georgia_Institute_of_Technology) he was a full professor from 2000 to 2003. At Indiana University he was a professor of mathematics from 1994 to 2014 and is since 2014 the James H. Rudy Professor of Mathematics; there he has also been an adjunct professor of statistics since 2006.<ref name=CV/>

Lyons has held visiting positions in the United States, France, and Israel.<ref name=CV/> In 2012 he was elected a Fellow of the [American Mathematical Society](/source/American_Mathematical_Society).<ref name=IUNews/> In 2014 he was an invited speaker of the [International Congress of Mathematicians](/source/International_Congress_of_Mathematicians) (ICM) in Seoul.<ref>{{cite book|chapter=Determinantal Probability: Basic Properties and Conjectures|title=Proceedings of the ICM, Seoul 2014|volume=4|pages=137–161}} [https://arxiv.org/abs/1406.2707 arXiv preprint]</ref> In 2017 a conference was held in Tel Aviv in honor of his 60th birthday.<ref>{{cite web|title=Elegance in probability: A conference honoring Russell Lyons' 60th birthday, September 3–7 2017, Tel Aviv|website=Institute of Mathematical Statistics|url=https://imstat.org/meetings-calendar/elegance-in-probability-a-conference-honoring-russell-lyonss-60th-birthday/}}</ref>

==Selected publications==
*{{cite journal|jstor=2244410|title=Random Walks and Percolation on Trees|journal=The Annals of Probability|volume=18|issue=3|pages=931–958|last1=Lyons|first1=Russell|year=1990|doi=10.1214/aop/1176990730|doi-access=free}}
*{{cite journal|jstor=2244865|title=Conceptual Proofs of L Log L Criteria for Mean Behavior of Branching Processes|journal=The Annals of Probability|volume=23|issue=3|pages=1125–1138|last1=Lyons|first1=Russell|last2=Pemantle|first2=Robin|last3=Peres|first3=Yuval|year=1995|doi=10.1214/aop/1176988176|doi-access=free|arxiv=math/0404083}}
*{{cite book|doi=10.1007/978-1-4612-1862-3_17|chapter=A Simple Path to Biggins' Martingale Convergence for Branching Random Walk|title=Classical and Modern Branching Processes|volume=84|pages=217–221|series=The IMA Volumes in Mathematics and its Applications|year=1997|last1=Lyons|first1=Russell|arxiv=math/9803100|isbn=978-1-4612-7315-8|s2cid=14006746}}
*{{cite journal|doi=10.1214/aop/1008956321|title=Uniform spanning forests|journal=The Annals of Probability|volume=29|pages=1–65|year=2001|last1=Schramm|first1=Oded|last2=Peres|first2=Yuval|last3=Lyons|first3=Russell|last4=Benjamini|first4=Itai|doi-access=free}}
*{{cite journal|author=Aldous, David|author2=Lyons, Russell|title=Processes on unimodular random networks|journal=Electronic Journal of Probability|volume=12|year=2007|pages=1454–1508|doi=10.1214/EJP.v12-463|s2cid=2107134|url=http://emis.de/journals/EJP-ECP/_ejpecp/include/getdoc7e6a.pdf|doi-access=free}}
*{{cite book|url=https://books.google.com/books?id=tLDFDQAAQBAJ|publisher = Cambridge University Press|title = Probability on Trees and Networks|isbn = 9781316785331|last1 = Lyons|first1 = Russell|last2 = Peres|first2 = Yuval|date = 2017-01-20}}<ref>{{cite web|title=Review of ''Probability on Trees and Networks'' by Russell Lyons and Yuval Peres|website=MAA Reviews, Mathematical Association of America|date=15 May 2017|author=Durrett, Richard|url=https://www.maa.org/press/maa-reviews/probability-on-trees-and-networks}}</ref>

==References==
<references/>

==External links==
*{{cite web|title=Russell Lyons, homepage|website=Indiana University (IU)|url=https://rdlyons.pages.iu.edu/}}
** {{cite web|url=http://pages.iu.edu/~rdlyons/#papers|title=Papers Available Electronically in PostScript or PDF|website=Russell Lyons, IU}}
** {{cite web|url=http://pages.iu.edu/~rdlyons/#noelist|title=List of Papers Not Available Electronically|website=Russell Lyons, IU}}
*{{cite web|title=ICM2014 VideoSeries IL 12.4 : Russell Lyons on Aug16Sat|date=18 August 2014|publisher=Seoul ICM VOD|website=YouTube|url=https://www.youtube.com/watch?v=usKriDM1aHU}}
*{{cite web|title=Russell Lyons - Poisson-Furstenberg boundaries and the Kaimanovich-Vershik conjecture|date=11 October 2015|publisher=Israel Institute for Advance Studies|website=YouTube|url=https://www.youtube.com/watch?v=Q2mSE7f8U-Q}} (joint with Yuval Peres)
*{{cite web|title=Random orderings and unique ergodicity of automorphism groups - Russell Lyons|date=13 September 2016|publisher=Institute for Advanced Study|website=YouTube|url=https://www.youtube.com/watch?v=WDrQV5lXjfc}}

{{authority control}}

{{DEFAULTSORT:Lyons, Russell}}
Category:1957 births
Category:Living people
Category:20th-century American mathematicians
Category:21st-century American mathematicians
Category:American probability theorists
Category:Case Western Reserve University alumni
Category:University of Michigan alumni
Category:Stanford University faculty
Category:Indiana University faculty
Category:Georgia Tech faculty
Category:Fellows of the American Mathematical Society
Category:Putnam Fellows

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