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{{short description|Belgian-French mathematical physicist}}
{{no footnotes|date=February 2013}}
{{Use dmy dates|date=March 2020}}
{{Infobox scientist
{{Infobox scientist
| name = David P. Ruelle
| name = David P. Ruelle
| image = Ruelle, David (1935).jpeg <!--(filename only, i.e. without "File:" prefix)-->
| image = Ruelle, David (1935).jpeg <!--(filename only, i.e. without "File:" prefix)-->
| image_size =
| caption = David Ruelle (1973)
| image_upright =
| alt =
| caption = David Ruelle
| birth_date = {{birth date and age |1935|8|20|df=y}}
| birth_date = {{birth date and age |1935|8|20|df=y}}
| birth_place = [[Ghent]], [[Belgium]]
| birth_place = [[Ghent]], [[Belgium]]
| death_date = <!--{{death date and age |YYYY|MM|DD |YYYY|MM|DD}} (death date then birth date)-->
| death_date = <!--{{death date and age |YYYY|MM|DD |YYYY|MM|DD}} (death date then birth date)-->
| death_place =
| death_place =
| nationality = [[Belgium|Belgian]]
| nationality = {{Unbulleted list|[[Belgium|Belgian]]|[[France|French]]}}
| fields = [[Mathematical physics]]
| fields = [[Mathematical physics]]
| workplaces = [[ETH Zurich]]<br> [[Institute for Advanced Study]] <br>[[Institut des Hautes Études Scientifiques]]<br>[[Rutgers University]]
| workplaces = [[ETH Zurich]]<br> [[Institute for Advanced Study]] <br>[[Institut des Hautes Études Scientifiques]]<br>[[Rutgers University]]
| alma_mater = [[Université Libre de Bruxelles]]
| alma_mater = [[Free University of Brussels (1834–1969)|Free University of Brussels]]
| thesis_title = <!--(or | thesis1_title = and | thesis2_title = )-->
| thesis_title = <!--(or | thesis1_title = and | thesis2_title = )-->
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| doctoral_advisor = <!--(or | doctoral_advisors = )-->
| doctoral_advisor = <!--(or | doctoral_advisors = )-->
| doctoral_students =
| doctoral_students = [[Giovanni Gallavotti]]
| known_for = {{Unbulleted list|[[Dobrushin–Lanford–Ruelle equations]]|[[Haag–Ruelle scattering theory]] |[[Ruelle zeta function]] |[[Sinai–Ruelle–Bowen measure]]}}
| known_for =
| awards = {{Unbulleted list|[[Dannie Heineman Prize for Mathematical Physics]] {{small|(1985)}}|{{nowrap|[[Boltzmann Medal]] {{small|(1986)}}}}|{{nowrap|[[Holweck Prize]] {{small|(1993)}}}}|{{nowrap|[[Matteucci Medal]] {{small|(2004)}}}}|{{nowrap|[[Henri Poincaré Prize]] {{small|(2006)}}}}|{{nowrap|[[Max Planck Medal]] {{small|(2014)}}}}|{{nowrap|[[Dirac Medal (ICTP)|Dirac Medal]] {{small|(2022)}}}}}}
| awards = {{Plainlist|
* [[Dannie Heineman Prize for Mathematical Physics]] {{small|(1985)}}
* {{nowrap|[[Boltzmann Medal]] {{small|(1986)}}}}
* {{nowrap|[[Holweck Prize]] {{small|(1993)}}}}
* {{nowrap|[[ Henri Poincaré Prize]] {{small|(2006)}}}}
* {{nowrap|[[Max Planck Medal]] {{small|(2014)}}}}
}}
}}
}}


'''David Pierre Ruelle''' ({{IPA-fr|ʁɥɛl|lang}}; born 20 August 1935) is a [[Belgian]]-[[French people|French]] [[mathematical physicist]]. He has worked on [[statistical physics]] and [[dynamical systems]]. With [[Floris Takens]], Ruelle coined the term ''[[strange attractor]]'', and founded a new theory of [[turbulence]].<ref>{{cite journal |last=Ruelle |first=David |last2=Takens |first2=Floris |date=1971 |title=On the nature of turbulence |url=http://projecteuclid.org/euclid.cmp/1103857186 |journal=Communications in Mathematical Physics |volume=20 |issue=3 |pages=167–192 |doi=10.1007/bf01646553|bibcode = 1971CMaPh..20..167R }}</ref>
'''David Pierre Ruelle''' ({{IPA|fr|david pjɛʁ ʁɥɛl|lang}}; born 20 August 1935) is a [[Belgians|Belgian]] and naturalized [[French people|French]] [[Mathematical physics|mathematical physicist]]. He has worked on [[statistical physics]] and [[Dynamical system|dynamical systems]]. With [[Floris Takens]], Ruelle coined the term ''[[strange attractor]]'', and developed a new theory of [[turbulence]].<ref>{{cite journal|last1=Ruelle|first1=David|last2=Takens|first2=Floris|date=1971|title=On the nature of turbulence|url=http://projecteuclid.org/euclid.cmp/1103857186|journal=Communications in Mathematical Physics|volume=20|issue=3|pages=167–192|doi=10.1007/bf01646553|bibcode=1971CMaPh..20..167R|s2cid=17074317}}</ref><ref>{{cite web|last=Ruelle|first=David|url=https://www.ams.org/notices/200607/what-is-ruelle.pdf|title='What is a... Strange Attractor?|website=American Mathematical Society|access-date=March 12, 2021}}</ref>

== Biography ==
Ruelle studied physics at the [[Free University of Brussels (1834–1969)|Free University of Brussels]], obtaining a PhD degree in 1959 under the supervision of [[Res Jost]].<ref>{{MathGenealogy|id=105130|title=David Ruelle}}</ref> He spent two years (1960–1962) at the [[ETH Zurich]], and another two years (1962–1964) at the [[Institute for Advanced Study]] in [[Princeton, New Jersey]]. In 1964, he became professor at the [[Institut des Hautes Études Scientifiques]] in [[Bures-sur-Yvette]], [[France]]. Since 2000, he has been an [[emeritus professor]] at IHES and distinguished visiting professor at [[Rutgers University]].<ref>{{cite web|url=http://www.ihes.fr/~ruelle/CVAnglais|title=Biography from his website|website=ihes.fr|access-date=March 12, 2021}}</ref>

David Ruelle made fundamental contributions in various aspects of mathematical physics. In quantum field theory, the most important contribution is the rigorous formulation of [[scattering]] processes based on [[Wightman axioms|Wightman's axiomatic theory]].<ref>{{Cite journal|last=Ruelle|first=David|title=On the asymptotic condition in quantum field theory|journal=Helvetica Physica Acta|volume=35|pages=147–163|year=1962|doi=10.5169/seals-113272|url=https://www.e-periodica.ch/cntmng?pid=hpa-001:1962:35::790}}</ref> This approach is known as the [[Haag–Ruelle scattering theory]]. Later Ruelle helped to create a rigorous theory of [[statistical mechanics]] of equilibrium, that includes the study of the [[thermodynamic limit]], the equivalence of [[Statistical ensemble (mathematical physics)|ensembles]], and the convergence of Mayer's series.<ref>{{Cite book|last=Ruelle|first=David|date=1999|title=Statistical mechanics: Rigorous results|publisher=World Scientific|isbn=978-9810238629}}</ref> A further result is the Asano-Ruelle lemma,<ref>{{cite journal|last=Ruelle|first=David|title=Extension of the Lee-Yang circle theorem|journal=Physical Review Letters|volume=26|page=303|year=1971|issue=6|doi=10.1103/PhysRevLett.26.303|bibcode=1971PhRvL..26..303R}}</ref> which allows the study of the zeros of certain polynomial functions that are recurrent in statistical mechanics.<ref>{{cite journal|last1=Lebowitz|first1=Joel L.|last2=Pittel|first2=Boris|last3=Ruelle|first3=David|last4=Speer|first4=Eugene R.|title=Central limit theorems, Lee--Yang zeros, and graph-counting polynomials|journal=[[Journal of Combinatorial Theory]]|series=Series A|volume=141|pages=147–183|year=2016|doi=10.1016/j.jcta.2016.02.009|doi-access=free|s2cid=11664411|arxiv=1408.4153}}</ref>

The study of infinite systems led to the local definition of [[Gibbs state]]s or to the global definition of [[equilibrium state]]s. Ruelle demonstrated with [[Roland L. Dobrushin]] and [[Oscar Lanford|Oscar E. Lanford]] that translationally invariant Gibbs states are precisely the equilibrium states.<ref>{{cite journal|last=Ruelle|first=David|title=Thermodynamic formalism. Addison Wesley, Reading|journal=Mass zbMATH|year=1978}}</ref>

Together with [[Floris Takens]], he proposed the description of hydrodynamic [[turbulence]] based on strange attractors with chaotic properties of hyperbolic dynamics.<ref>{{Cite book|last=Ruelle|first=David|date=1993|volume=110|title=Chance and chaos|publisher=Princeton University Press|isbn=978-0691021003}}</ref><ref>{{cite web|last=Gallavotti|first=Giovanni|url=http://www.iamp.org/poincare/dr06-laud.html|title=''Laudatio'' on the occasion of the Henri Poincaré Prize|website=International Association of Mathematical Physics|access-date=March 12, 2021}}</ref>


==Education and career==
== Honors and awards ==
Since 1985 David Ruelle has been a member of the [[French Academy of Sciences]]<ref>{{cite web|url=https://www.academie-sciences.fr/fr/Liste-des-membres-de-l-Academie-des-sciences-/-R/david-ruelle.html|title=French Academy of Sciences member page of David Ruelle|website=French Academy of Sciences|access-date=March 13, 2021|language=fr}}</ref> and in 1988 he was [[Josiah Willard Gibbs Lectureship|Josiah Willard Gibbs Lecturer]] in [[Atlanta, Georgia]].<ref>{{cite web|url=https://www.ams.org/meetings/lectures/meet-gibbs-lect|title=Josiah Willard Gibbs Lectures|website=American Mathematical Society|access-date=March 9, 2021}}</ref> Since 1992 he has been an international honorary member of the [[American Academy of Arts and Sciences]]<ref>{{cite web|url=https://www.amacad.org/person/david-p-ruelle|title=Ruelle's member page of the American Academy of Arts and Sciences|website=American Academy of Arts and Sciences|access-date=March 13, 2021}}</ref> and since 1993 ordinary member of the [[Academia Europaea]].<ref>{{cite web|url=https://www.ae-info.org/ae/User/Ruelle_David|title=Ruelle's member page of Academia Europaea|website=Academia Europaea|access-date=March 13, 2021}}</ref> Since 2002 he has been an international member of the [[United States National Academy of Sciences]]<ref>{{cite web|url=http://www.nasonline.org/member-directory/members/20002221.html|title=Ruelle's member page of the National Academy od Sciences|website=National Academy od Sciences|access-date=March 13, 2021}}</ref> and since 2003 a foreign member of the [[Accademia Nazionale dei Lincei]].<ref>{{cite web|url=https://www.lincei.it/it/content/ruelle-david|title=Lincei's member page of David Ruelle|website=Accademia Nazionale dei Lincei|access-date=March 12, 2021}}</ref> Since 2012 he has been a fellow of the [[American Mathematical Society]].<ref>{{cite web|url=https://www.ams.org/profession/fellows-list|title=List of Fellows of the American Mathematical Society|website=American Mathematical Society|access-date=March 12, 2021}}</ref>
Ruelle studied physics at the [[Université Libre de Bruxelles]], obtaining a Ph.D. degree in 1959 (prepared at [[ETH Zurich]] [http://www.ihes.fr/~ruelle/CVAnglais.html]).
He spent two years (1960–1962) at the [[ETH Zurich]], and another two years (1962–1964) at the [[Institute for Advanced Study]] in [[Princeton, New Jersey]].
In 1964, he became Professor at the [[Institut des Hautes Études Scientifiques]] (IHES), in [[Bures-sur-Yvette]], [[France]]. Since 2000, he is an Emeritus Professor at IHES and distinguished visiting professor at [[Rutgers University]].


In 1985 David Ruelle was awarded the [[Dannie Heineman Prize for Mathematical Physics]]<ref>{{cite web|url=https://www.aps.org/programs/honors/prizes/prizerecipient.cfm?last_nm=Ruelle&first_nm=D.P.&year=1985|title=1985 Dannie Heineman Prize for Mathematical Physics Recipient|website=American Physical Society|access-date=March 12, 2021}}</ref> and in 1986 he received the [[Boltzmann Medal]] for his outstanding contributions to [[statistical mechanics]].<ref>{{cite web|url=https://iupap.org/commissions/c3-commission-on-statistical-physics/c3-awards/|title=C3: Awards - The Boltzmann Medal|website=International Union of Pure and Applied Physics|date=8 March 2021 |access-date=March 12, 2021}}</ref> In 1993 he won the [[Holweck Prize]]<ref>{{cite web|url=https://www.iop.org/fernand-holweck-medal-and-prize-recipients|title=Fernand Holweck Medal and Prize recipients|website=Institute of Physics|access-date=March 12, 2021}}</ref> and in 2004 he received the [[Matteucci Medal]].<ref>{{cite web|url=https://www.accademiaxl.it/medaglia-matteucci/|title=Medaglia Matteucci|website=Accademia Nazionale delle Scienze detta dei XL|access-date=March 12, 2021}}</ref> In 2006 he was awarded the [[Henri Poincaré Prize]]<ref>{{cite web|url=http://www.iamp.org/page.php?page=page_prize_poincare|title=Henri Poincaré Prize winners|website=International Association of Mathematical Physics|access-date=March 9, 2021}}</ref> and in 2014 he was honored with the prestigious [[Max Planck Medal]] for his achievements in [[theoretical physics]].<ref>{{cite web|url=https://www.dpg-physik.de/auszeichnungen/dpg-preise/max-planck-medaille/preistraeger|title=Max Planck Medal Prize winners|website=German Physical Society|language=de|access-date=March 12, 2021}}</ref> In 2022, Ruelle was awarded the ICTP's [[Dirac Medal (ICTP)|Dirac Medal]] for Mathematical Physics, along with Elliott H. Lieb and Joel Lebowitz, "for groundbreaking and mathematically rigorous contributions to the understanding of the statistical mechanics of classical and quantum physical systems".<ref>{{cite web|url=https://www.ictp.it/about-ictp/media-centre/news/2022/8/2022-dirac-medal-winners-announced.aspx|title=ICTP's Dirac Medal for Mathematical Physics Recipient|website=ICTP-date=August 8, 2022}}</ref>
==Awards and honors==
In 1985, Ruelle was awarded the [[Dannie Heineman Prize for Mathematical Physics]]. In 1986, he received the [[Boltzmann Medal]] for his outstanding contributions to [[statistical mechanics]], and in 1993 the [[Holweck Prize]]. In 2004, he received the [[Matteucci Medal]], and in 2006 the [[Henri Poincaré Prize]]. In 2012 he became a fellow of the [[American Mathematical Society]].<ref>[http://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2013-07-07.</ref>
In 2014, he was awarded the [[Max Planck Medal]] for his achievements in [[theoretical physics]].<ref>{{cite web | title = Preisträgerinnen und Preisträger 2014 | trans-title = Laureates and award winners 2014 | language = de | url = http://www.dpg-physik.de/preise/preistraeger2014.html#Max-Planck-Medaille | publisher = [[Deutsche Physikalische Gesellschaft]] | accessdate = 2015-12-10 | archive-url = https://web.archive.org/web/20131118111754/http://www.dpg-physik.de/preise/preistraeger2014.html#Max-Planck-Medaille | archive-date = 18 November 2013 | url-status = dead }}</ref>


== Selected publications ==
==Books==
{{div col|colwidth=35em}}
* (1969) ''Statistical Mechanics: Rigorous Results'', World Scientific<ref>{{cite journal|author=Lieb, Elliott|authorlink=Elliott Lieb|title=Review: ''Statistical mechanics'' by D. Ruelle|journal=Bull. Amer. Math. Soc.|year=1970|volume=76|issue=4|pages=683–688|url=http://www.ams.org/journals/bull/1970-76-04/S0002-9904-1970-12505-8/S0002-9904-1970-12505-8.pdf|doi=10.1090/s0002-9904-1970-12505-8}}</ref>
* {{Cite book|last=Ruelle|first=David|date=1993|volume=110|title=Chance and chaos|publisher=Princeton University Press|isbn=978-0691021003|url=https://books.google.com/books?id=zJ9_LGhrg6wC|postscript=; pbk}} {{isbn|978-0691085746}}; hbk<ref>{{cite web|title=Review of ''Chance and Chaos'' by David Ruelle|date=December 2, 1991|website=Publishers Weekly|url=https://www.publishersweekly.com/9780691085746}}</ref>
* (1978) ''Thermodynamic formalism : the mathematical structures of classical [[thermodynamic equilibrium|equilibrium]] [[statistical mechanics]]'', Addison-Wesley. {{ISBN|0-201-13504-3}}.;<ref>{{cite journal|author=Babbitt, D. G.|title=Review: ''Thermodynamic formalism'' by D. Ruelle|journal=Bull. Amer. Math. Soc. (N.S.)|year=1979|volume=1|issue=6|pages=931–935|url=http://www.ams.org/journals/bull/1979-01-06/S0273-0979-1979-14695-0/S0273-0979-1979-14695-0.pdf|doi=10.1090/s0273-0979-1979-14695-0}}</ref> (1984) Cambridge: University Press {{ISBN|0-521-30225-0}}. 2e (2004) Cambridge: University Press {{ISBN|0-521-54649-4}}
* {{Cite book|last=Ruelle|first=David|date=1999|title=Statistical mechanics: Rigorous results|publisher=World Scientific|isbn=978-9810238629}} 1st edition 1969<ref>{{cite journal|doi=10.1090/S0002-9904-1970-12505-8|title=Book Review: ''Statistical Mechanics'' by David Ruelle |year=1970 |last1=Lieb |first1=Elliott |author-link=Elliott H. Lieb |journal=Bulletin of the American Mathematical Society |volume=76 |issue=4 |pages=683–689 |doi-access=free }}</ref>
* (1989) ''Elements of differentiable dynamics and bifurcation theory'', Academic Press.<ref>{{cite journal|author=Shub, Michael|authorlink=Michael Shub|title=Review: ''Elements of differentiable dynamics and bifurcation theory'' by D. Ruelle|journal=Bull. Amer. Math. Soc. (N.S.)|year=1991|volume=24|issue=1|pages=199–211|url=http://www.ams.org/journals/bull/1991-24-01/S0273-0979-1991-15989-6/S0273-0979-1991-15989-6.pdf|doi=10.1090/s0273-0979-1991-15989-6}}</ref>
* {{Cite book|last=Ruelle|first=David|date=2004|title=Thermodynamic formalism: the mathematical structure of equilibrium statistical mechanics|publisher=Cambridge University Press|isbn=978-0521546492}} 1st edition 1978<ref>{{cite journal|doi=10.1090/S0273-0979-1979-14695-0|title=Book Review: ''Thermodynamic formalism: The mathematical structures of classical equilibrium statistical mechanics'' by David Ruelle |year=1979 |last1=Babbitt |first1=D. G. |journal=Bulletin of the American Mathematical Society |volume=1 |issue=6 |pages=931–936 |doi-access=free }}</ref>
* (1991) ''Chance and Chaos'', Princeton University Press
* {{Cite book|last=Ruelle|first=David|date=2004|title=Dynamical zeta functions for piecewise monotone maps of the interval|publisher=American Mathematical Society|isbn=978-0821836019}}
* (2007) ''The Mathematician's Brain'', Princeton University Press
* {{Cite book|last=Ruelle|first=David|date=1995|title=Turbulence, strange attractors and chaos|publisher=World Scientific|isbn=978-9810223113}}
* {{Cite book|last=Ruelle|first=David|date=2008|volume=1|title=Chaotic evolution and strange attractors|publisher=Cambridge University Press|isbn=978-0521368308}} [https://books.google.com/books?id=PXm43Y5NaJEC 1989 edition]
* {{Cite book|last=Ruelle|first=David|date=2014|title=Elements of differentiable dynamics and bifurcation theory|publisher=Elsevier|isbn=978-1483245881}} 1989 1st edition<ref>{{cite journal|doi=10.1090/S0273-0979-1991-15989-6|title=Book Review: ''Elements of differentiable dynamics and bifurcation theory'' by David Ruelle |year=1991 |last1=Shub |first1=Michael |author-link=Michael Shub |journal=Bulletin of the American Mathematical Society |volume=24 |pages=199–212 |doi-access=free }}</ref>
* {{Cite journal|last1=Ruelle|first1=David|last2=Takens|first2=Floris|title=On the nature of turbulence|journal=Les rencontres physiciens-mathématiciens de Strasbourg|volume=12|pages=1–44|year=1971}}
* {{Cite journal|last=Ruelle|first=David|title=Turbulence, Strange Attractors, and Chaos|journal=World Scientific|volume=16|page=195|year=1995|bibcode=1995tsac.book.....R}}
* {{Cite journal|last1=Eckmann|first1=Jean-Pierre|last2=Ruelle|first2=David|title=Ergodic theory of chaos and strange attractors|journal=Reviews of Modern Physics|volume=57|pages=617–656|year=1985|issue=3|doi=10.1103/RevModPhys.57.617|bibcode=1985RvMP...57..617E}}
* {{Cite journal|last=Ruelle|first=David|title=On the asymptotic condition in quantum field theory|journal=Helvetica Physica Acta|volume=35|pages=147–163|year=1962|doi=10.5169/seals-113272|url=https://www.e-periodica.ch/cntmng?pid=hpa-001:1962:35::790}}
* {{Cite book|last=Ruelle|first=David|date=2007|title=The mathematician's brain|publisher=Princeton University Press|isbn=978-0691129822}}<ref>{{cite web|author=Boslaugh, Sarah|title=Review of ''The Mathematician's Brain'' by David Ruelle|website=MAA Reviews, Mathematical Association of America|date=August 23, 2007|url=https://www.maa.org/press/maa-reviews/the-mathematicians-brain-a-personal-tour-through-the-essentials-of-mathematics-and-some-of-the-great}}</ref>
* {{Cite book|last=Ruelle|first=David|date=2011|title=L'Étrange Beauté des mathématiques|publisher=Odile Jacob|isbn=978-2738126245|language=fr}}
{{div col end}}


==See also==
== See also ==
{{Portal|Physics|Biography}}
<!--*[[Ruelle–Takens scenario]]-->
{{cols|colwidth=21em}}
*[[Transfer operator]]
* [[Axiomatic quantum field theory]]
*[[Ruelle zeta-function]]
* [[Chaos theory]]
*[[Dobrushin–Lanford–Ruelle equations]]
* [[Dynamical systems theory]]
<!--*[[Sinai–Ruelle–Bowen measure]]-->
* [[Dobrushin–Lanford–Ruelle equations]]
*[[Haag–Ruelle scattering theory]]
* [[Fluid mechanics]]
* [[Haag–Ruelle scattering theory]]
* [[Ruelle zeta-function]]
* [[Sinai–Ruelle–Bowen measure]]
* [[Statistical physics]]
* [[Strange attractor]]
* [[Transfer operator]]
{{colend}}


==References==
== References ==
<references/>
<references/>


==External links==
== External links ==
{{Commons category}}
*[https://web.archive.org/web/20130615010232/http://www.ihes.fr/~ruelle/ Home page of David Ruelle]
{{Wikiquote|fr:David Ruelle|David Ruelle}}
*{{MathGenealogy |id=105130}}
* {{MathGenealogy|id=105130|title=David Ruelle}}
* {{DNB-Portal|113082711}}.
* {{zbMATH|id=ruelle.david-pierre}}.
* {{cite web|last=Takens|first=Floris|url=http://www.math.leidenuniv.nl/~naw/serie5/deel01/mrt2000/pdf/takens.pdf|archive-url=https://web.archive.org/web/20090306171359/http://www.math.leidenuniv.nl/~naw/serie5/deel01/mrt2000/pdf/takens.pdf|title=''Laudatio'' for David Ruelle|website=math.leidenuniv.nl|archive-date=March 6, 2009}}
* {{cite web|last=Gallavotti|first=Giovanni|url=http://www.iamp.org/poincare/dr06-laud.html|title=''Laudatio'' on the occasion of the Henri Poincaré Prize|website=International Association of Mathematical Physics|access-date=March 12, 2021}}
* {{cite web|last=Ruelle|first=David|url=https://www.ams.org/notices/200607/what-is-ruelle.pdf|title='What is a... Strange Attractor?|website=American Mathematical Society|access-date=March 12, 2021}}
* {{cite web|url=http://www.ihes.fr/~ruelle/CVAnglais|title=Biography from his website|website=ihes.fr|access-date=March 12, 2021}}
* {{cite web|title=David Ruelle {{!}} April 7, 2022 {{!}} A Natural Limitation for Properly Human Scientific Progress|publisher=Mathematical Picture Language|website=YouTube|date=7 April 2022 |url=https://www.youtube.com/watch?v=jSul7BRj57k}}


{{chaos theory}}
{{chaos theory}}
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[[Category:Foreign associates of the National Academy of Sciences]]
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[[Category:Recipients of the Great Cross of the National Order of Scientific Merit (Brazil)]]
[[Category:Recipients of the Great Cross of the National Order of Scientific Merit (Brazil)]]
[[Category:Fellows of the American Mathematical Society]]
[[Category:Fellows of the American Mathematical Society]]
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[[Category:Academic staff of ETH Zurich]]
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[[Category:Rutgers University faculty]]
[[Category:Rutgers University faculty]]
[[Category:Recipients of the Matteucci Medal]]
[[Category:Belgian emigrants to France]]
[[Category:Winners of the Max Planck Medal]]
[[Category:Mathematical physicists]]
[[Category:Statistical physicists]]

Latest revision as of 11:51, 12 November 2024

David P. Ruelle
David Ruelle (1973)
Born (1935-08-20) 20 August 1935 (age 89)
Nationality
Alma materFree University of Brussels
Known for
Awards
Scientific career
FieldsMathematical physics
InstitutionsETH Zurich
Institute for Advanced Study
Institut des Hautes Études Scientifiques
Rutgers University
Doctoral studentsGiovanni Gallavotti

David Pierre Ruelle (French: [david pjɛʁ ʁɥɛl]; born 20 August 1935) is a Belgian and naturalized French mathematical physicist. He has worked on statistical physics and dynamical systems. With Floris Takens, Ruelle coined the term strange attractor, and developed a new theory of turbulence.[1][2]

Biography

[edit]

Ruelle studied physics at the Free University of Brussels, obtaining a PhD degree in 1959 under the supervision of Res Jost.[3] He spent two years (1960–1962) at the ETH Zurich, and another two years (1962–1964) at the Institute for Advanced Study in Princeton, New Jersey. In 1964, he became professor at the Institut des Hautes Études Scientifiques in Bures-sur-Yvette, France. Since 2000, he has been an emeritus professor at IHES and distinguished visiting professor at Rutgers University.[4]

David Ruelle made fundamental contributions in various aspects of mathematical physics. In quantum field theory, the most important contribution is the rigorous formulation of scattering processes based on Wightman's axiomatic theory.[5] This approach is known as the Haag–Ruelle scattering theory. Later Ruelle helped to create a rigorous theory of statistical mechanics of equilibrium, that includes the study of the thermodynamic limit, the equivalence of ensembles, and the convergence of Mayer's series.[6] A further result is the Asano-Ruelle lemma,[7] which allows the study of the zeros of certain polynomial functions that are recurrent in statistical mechanics.[8]

The study of infinite systems led to the local definition of Gibbs states or to the global definition of equilibrium states. Ruelle demonstrated with Roland L. Dobrushin and Oscar E. Lanford that translationally invariant Gibbs states are precisely the equilibrium states.[9]

Together with Floris Takens, he proposed the description of hydrodynamic turbulence based on strange attractors with chaotic properties of hyperbolic dynamics.[10][11]

Honors and awards

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Since 1985 David Ruelle has been a member of the French Academy of Sciences[12] and in 1988 he was Josiah Willard Gibbs Lecturer in Atlanta, Georgia.[13] Since 1992 he has been an international honorary member of the American Academy of Arts and Sciences[14] and since 1993 ordinary member of the Academia Europaea.[15] Since 2002 he has been an international member of the United States National Academy of Sciences[16] and since 2003 a foreign member of the Accademia Nazionale dei Lincei.[17] Since 2012 he has been a fellow of the American Mathematical Society.[18]

In 1985 David Ruelle was awarded the Dannie Heineman Prize for Mathematical Physics[19] and in 1986 he received the Boltzmann Medal for his outstanding contributions to statistical mechanics.[20] In 1993 he won the Holweck Prize[21] and in 2004 he received the Matteucci Medal.[22] In 2006 he was awarded the Henri Poincaré Prize[23] and in 2014 he was honored with the prestigious Max Planck Medal for his achievements in theoretical physics.[24] In 2022, Ruelle was awarded the ICTP's Dirac Medal for Mathematical Physics, along with Elliott H. Lieb and Joel Lebowitz, "for groundbreaking and mathematically rigorous contributions to the understanding of the statistical mechanics of classical and quantum physical systems".[25]

Selected publications

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  • Ruelle, David (1993). Chance and chaos. Vol. 110. Princeton University Press. ISBN 978-0691021003; pbk{{cite book}}: CS1 maint: postscript (link) ISBN 978-0691085746; hbk[26]
  • Ruelle, David (1999). Statistical mechanics: Rigorous results. World Scientific. ISBN 978-9810238629. 1st edition 1969[27]
  • Ruelle, David (2004). Thermodynamic formalism: the mathematical structure of equilibrium statistical mechanics. Cambridge University Press. ISBN 978-0521546492. 1st edition 1978[28]
  • Ruelle, David (2004). Dynamical zeta functions for piecewise monotone maps of the interval. American Mathematical Society. ISBN 978-0821836019.
  • Ruelle, David (1995). Turbulence, strange attractors and chaos. World Scientific. ISBN 978-9810223113.
  • Ruelle, David (2008). Chaotic evolution and strange attractors. Vol. 1. Cambridge University Press. ISBN 978-0521368308. 1989 edition
  • Ruelle, David (2014). Elements of differentiable dynamics and bifurcation theory. Elsevier. ISBN 978-1483245881. 1989 1st edition[29]
  • Ruelle, David; Takens, Floris (1971). "On the nature of turbulence". Les rencontres physiciens-mathématiciens de Strasbourg. 12: 1–44.
  • Ruelle, David (1995). "Turbulence, Strange Attractors, and Chaos". World Scientific. 16: 195. Bibcode:1995tsac.book.....R.
  • Eckmann, Jean-Pierre; Ruelle, David (1985). "Ergodic theory of chaos and strange attractors". Reviews of Modern Physics. 57 (3): 617–656. Bibcode:1985RvMP...57..617E. doi:10.1103/RevModPhys.57.617.
  • Ruelle, David (1962). "On the asymptotic condition in quantum field theory". Helvetica Physica Acta. 35: 147–163. doi:10.5169/seals-113272.
  • Ruelle, David (2007). The mathematician's brain. Princeton University Press. ISBN 978-0691129822.[30]
  • Ruelle, David (2011). L'Étrange Beauté des mathématiques (in French). Odile Jacob. ISBN 978-2738126245.

See also

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References

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  1. ^ Ruelle, David; Takens, Floris (1971). "On the nature of turbulence". Communications in Mathematical Physics. 20 (3): 167–192. Bibcode:1971CMaPh..20..167R. doi:10.1007/bf01646553. S2CID 17074317.
  2. ^ Ruelle, David. "'What is a... Strange Attractor?" (PDF). American Mathematical Society. Retrieved 12 March 2021.
  3. ^ David Ruelle at the Mathematics Genealogy Project
  4. ^ "Biography from his website". ihes.fr. Retrieved 12 March 2021.
  5. ^ Ruelle, David (1962). "On the asymptotic condition in quantum field theory". Helvetica Physica Acta. 35: 147–163. doi:10.5169/seals-113272.
  6. ^ Ruelle, David (1999). Statistical mechanics: Rigorous results. World Scientific. ISBN 978-9810238629.
  7. ^ Ruelle, David (1971). "Extension of the Lee-Yang circle theorem". Physical Review Letters. 26 (6): 303. Bibcode:1971PhRvL..26..303R. doi:10.1103/PhysRevLett.26.303.
  8. ^ Lebowitz, Joel L.; Pittel, Boris; Ruelle, David; Speer, Eugene R. (2016). "Central limit theorems, Lee--Yang zeros, and graph-counting polynomials". Journal of Combinatorial Theory. Series A. 141: 147–183. arXiv:1408.4153. doi:10.1016/j.jcta.2016.02.009. S2CID 11664411.
  9. ^ Ruelle, David (1978). "Thermodynamic formalism. Addison Wesley, Reading". Mass zbMATH.
  10. ^ Ruelle, David (1993). Chance and chaos. Vol. 110. Princeton University Press. ISBN 978-0691021003.
  11. ^ Gallavotti, Giovanni. "Laudatio on the occasion of the Henri Poincaré Prize". International Association of Mathematical Physics. Retrieved 12 March 2021.
  12. ^ "French Academy of Sciences member page of David Ruelle". French Academy of Sciences (in French). Retrieved 13 March 2021.
  13. ^ "Josiah Willard Gibbs Lectures". American Mathematical Society. Retrieved 9 March 2021.
  14. ^ "Ruelle's member page of the American Academy of Arts and Sciences". American Academy of Arts and Sciences. Retrieved 13 March 2021.
  15. ^ "Ruelle's member page of Academia Europaea". Academia Europaea. Retrieved 13 March 2021.
  16. ^ "Ruelle's member page of the National Academy od Sciences". National Academy od Sciences. Retrieved 13 March 2021.
  17. ^ "Lincei's member page of David Ruelle". Accademia Nazionale dei Lincei. Retrieved 12 March 2021.
  18. ^ "List of Fellows of the American Mathematical Society". American Mathematical Society. Retrieved 12 March 2021.
  19. ^ "1985 Dannie Heineman Prize for Mathematical Physics Recipient". American Physical Society. Retrieved 12 March 2021.
  20. ^ "C3: Awards - The Boltzmann Medal". International Union of Pure and Applied Physics. 8 March 2021. Retrieved 12 March 2021.
  21. ^ "Fernand Holweck Medal and Prize recipients". Institute of Physics. Retrieved 12 March 2021.
  22. ^ "Medaglia Matteucci". Accademia Nazionale delle Scienze detta dei XL. Retrieved 12 March 2021.
  23. ^ "Henri Poincaré Prize winners". International Association of Mathematical Physics. Retrieved 9 March 2021.
  24. ^ "Max Planck Medal Prize winners". German Physical Society (in German). Retrieved 12 March 2021.
  25. ^ "ICTP's Dirac Medal for Mathematical Physics Recipient". ICTP-date=August 8, 2022.
  26. ^ "Review of Chance and Chaos by David Ruelle". Publishers Weekly. 2 December 1991.
  27. ^ Lieb, Elliott (1970). "Book Review: Statistical Mechanics by David Ruelle". Bulletin of the American Mathematical Society. 76 (4): 683–689. doi:10.1090/S0002-9904-1970-12505-8.
  28. ^ Babbitt, D. G. (1979). "Book Review: Thermodynamic formalism: The mathematical structures of classical equilibrium statistical mechanics by David Ruelle". Bulletin of the American Mathematical Society. 1 (6): 931–936. doi:10.1090/S0273-0979-1979-14695-0.
  29. ^ Shub, Michael (1991). "Book Review: Elements of differentiable dynamics and bifurcation theory by David Ruelle". Bulletin of the American Mathematical Society. 24: 199–212. doi:10.1090/S0273-0979-1991-15989-6.
  30. ^ Boslaugh, Sarah (23 August 2007). "Review of The Mathematician's Brain by David Ruelle". MAA Reviews, Mathematical Association of America.
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