thumb|Leonid Pastur in 2004 '''Leonid Andreevich Pastur''' ({{langx|uk|Леонід Андрійович Пастур}}, {{langx|ru|Леонид Андреевич Пастур}}) (born 21 August 1937) is a Ukrainian mathematical physicist and theoretical physicist, known in particular for contributions to random matrix theory, the spectral theory of random Schrödinger operators, statistical mechanics, and solid state physics (especially, the theory of disordered systems).<ref name=p70>{{cite journal|last=Berezanskii|first=Yu.M.|title=Leonid Andreevich Pastur (on the occasion of his seventieth birthday)|journal=Russian Math. Surveys|year=2008|volume=63|issue=1|pages=197–199|doi=10.1070/RM2008v063n01ABEH004512|display-authors=etal}}</ref> Currently, he heads the Department of Theoretical Physics at the B Verkin Institute for Low Temperature Physics and Engineering in Kharkiv <ref>[http://www.ilt.kharkov.ua/bvi/structure/depart_e/d26/d26e.html Webpage of ILT]</ref> and a professor and senior research fellow at the Department of Mathematics, King's College London.<ref>[https://www.kcl.ac.uk/people/leonid-pastur Leonid Pastur's homepage at King's College London]</ref>
==Work== * In random matrix theory: together with Vladimir Marchenko, he discovered the Marchenko–Pastur law.<ref>{{cite journal|last1=Marčenko|first1=V.A.|last2=Pastur|first2=L.A.|title=Distribution of eigenvalues in certain sets of random matrices|journal=Mat. Sb. |series=New Series|year=1967|volume=72|issue=114|pages=507–536}}</ref> Later, he devised a more general approach to study random matrices with independent entries in the global regime.<ref>{{cite journal|last=Pastur|first=L.A.|title=Spectra of random selfadjoint operators|journal=Uspekhi Mat. Nauk|year=1973|volume=28|issue=1(169)|pages=3–64}}</ref> Together with Mariya Shcherbina, he found the first rigorous proof of universality for invariant matrix ensembles.<ref>{{cite journal|last1=Pastur|first1=L.|last2=Shcherbina|first2=M.|title=Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles|journal=J. Statist. Phys.|year=1997|volume=86|issue=1–2|pages=109–147|doi=10.1007/BF02180200|bibcode=1997JSP....86..109P|citeseerx=10.1.1.55.3541|s2cid=15117770}}</ref> * In the spectral theory of random Schrödinger operators, he introduced the class of metrically transitive operators, and discovered several fundamental properties of this class.<ref>{{cite journal|last=Pastur|first=L.A.|title=Spectral properties of disordered systems in the one-body approximation.|journal=Comm. Math. Phys.|year=1980|volume=75|issue=2|pages=179–196|url=http://projecteuclid.org/euclid.cmp/1103908097|doi=10.1007/bf01222516|bibcode=1980CMaPh..75..179P |s2cid=120070709|url-access=subscription}}</ref> Together with Ilya Goldsheid and Stanislav Molchanov, he established Anderson localization for a class of one-dimensional self-adjoint operators with random potentials;<ref>{{cite journal|last1=Golʹdšeĭd|first1=I.Ya.|last2=Molčanov|first2=S.A.|last3=Pastur|first3=L.A.|title=A random homogeneous Schrödinger operator has a pure point spectrum|journal=Funkcional. Anal. I Priložen.|year=1977|volume=11|issue=1|pages=1–10|doi=10.1007/BF01135526|s2cid=122146088}}</ref> this was the first mathematically rigorous proof of Anderson localization.<ref>{{cite journal|last=Spencer|first=T.|title=Mathematical aspects of Anderson localization|journal=Int. J. Mod. Phys. B|year=2010|volume=24|issue=12–13|pages=1621–1639|doi=10.1142/S0217979210064538|bibcode=2010IJMPB..24.1621S }}</ref>
==Awards and honors== He is a member of the National Academy of Sciences of Ukraine.<ref>[http://www.nas.gov.ua/members/Pages/Academicians.aspx List of members of the Academy of Sciences] {{webarchive|url=https://web.archive.org/web/20110830212523/http://www.nas.gov.ua/members/Pages/Academicians.aspx |date=2011-08-30 }}</ref> In 2012 he became a fellow of the American Mathematical Society.<ref>[https://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2013-05-05.</ref> In 2025, he was awarded the Senior Whitehead Prize<ref>{{cite web | title=LMS Prize Winners 2025 | London Mathematical Society | url=https://www.lms.ac.uk/news/lms-prize-winners-2025 }}</ref>
==References== {{Reflist|30em}}
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{{DEFAULTSORT:Pastur, Leonid}} Category:Mathematical physicists Category:Theoretical physicists Category:Members of the National Academy of Sciences of Ukraine Category:Fellows of the American Mathematical Society Category:20th-century Ukrainian mathematicians Category:20th-century Ukrainian physicists Category:1937 births Category:Living people Category:People from Vinnytsia Oblast Category:21st-century Ukrainian physicists
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