Leonid Pastur, Professor, Chief Scientific Researcher, DSc.
      
      
      
        
           
        
          
            
          B. Verkin Institute for Low Temperature Physics 
          & Engineering
          of the National Academy of Sciences of Ukraine
          47 Nauky Ave., Kharkiv, 61103, Ukraine
          
          
            
            lpastur@ilt.kharkov.ua
          
            
           +38 (057) 340-50-62
          
           +38 (057) 340-33-70
         
         
       
     
      
          Prizes and Distinctions:
          
          - 
            Ukrainian State Prize in Science and Technology, 1985.
          
- 
            N.N.Bogolyubov Prize of the National Academy of Sciences of Ukraine, 2002.
          
- 
            M.V.Ostrogradkii Prize of the National Academy of Sciences of Ukraine, 2010.
          
- 
            Doctor "Honoris Causa", Ruhr University, Bochum, Germany, 2011.
          
- 
            Doctor "Honoris Causa", Kharkiv National University, Kharkiv, Ukraine, 2013.
          
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            Doctor "Honoris Causa", Bogolyubov Institute of Theoretical Physics, Kiyv, Ukraine, 2018.
          
- 
            Honoured Worker of Science and Technology of Ukraine, 2019.
          
- 
            Senior Whitehead Prize of the London Mathematical Society, 2025.
          
    
       
        Languages:
        
          Ukrainian, Russian, English, French
        
        
      
        Education:
        
          
            
              | Name of Institution | Degrees | Field | 
          
          
            
              | Institute for Low Temperature Physics
                and Engineering (Kharkiv) | Doctor of Sciences (1974) | Theoretical and Mathematical Physics | 
        
        
          
            | Institute for Low Temperature Physics
              and Engineering (Kharkiv) | Candidate of Sciences  (1964) | Theoretical and Mathematical Physics | 
        
        
          
            | Kharkiv Polytechnical Institute" | Master in Applied Physics (1961) | Physics of metal | 
          
        
           
      
        Field of Scientific Interest:
        
          Theoretical and Mathematical Physics of Disordered Systems, 
          Spectral Theory of Operators, Applied Probability 
        
        
       
      
        Professional Societies and Organizations:
        
          - 
            American Mathematical Society (Fellow).   
          
- 
            European Mathematical Society International 
            Association of Mathematical Physics.
          
- 
            Kharkiv Mathematical Society.
          
 
      
        Professional Experience:
        
          
            | 2023-present: | Senior Research Fellow 
              King’s College (London, United Kingdom) | 
        
        
          
            | 2016-present: | Chief Scientific Researcher. 
              Department of Theoretical Physics,B.Verkin Institute for Low Temperature Physics
              and Engineering of the National Academy of Sciences of Ukraine (Kharkiv, 
              Ukraine) | 
        
        
          
            | 2003-2016: | Head of the Department of Theoretical Physics. 
              B.Verkin Institute for Low Temperature Physics
              and Engineering of the National Academy of Sciences of Ukraine (Kharkiv, 
              Ukraine) | 
        
        
          
            | 1987-1997: | Deputy Director, Head of Mathematical Division. 
              B.Verkin Institute for Low Temperature Physics
              and Engineering of the National Academy of Sciences of Ukraine (Kharkiv, 
              Ukraine) | 
        
        
          
            | 1985-1997: | Head of Department of Statistical Methods 
              in Mathematical Physics. B.Verkin Institute for Low Temperature Physics
              and Engineering of the National Academy of Sciences of Ukraine (Kharkiv, 
              Ukraine) | 
        
        
          
            | 1968-1985: | Senior Research Fellow.
              Institute for Low Temperature Physics and Engineering 
              (Kharkiv) | 
        
        
          
            | 1961-1968: | Junior Research Fellow.
              Institute for Low Temperature Physics and Engineering  
              (Kharkiv) | 
        
       
        
          
            | 1994-1996: | Chairman: 
              Ukrainian Fund of Fundamental Research (Kyiv) | 
        
        
          
            | 1992-1996 : | Chairman:
              Ukrainian Fund of Fundamental Research (Kyiv) | 
        
        
       
          Educational Activity:
          
          
            | 1995 - 2004: | Professor:
              Department of Mathematics, University Paris 7 (Paris, France) | 
          
            | 1978-1994 : | Professor (half-time): 
              Kharkiv State University, (Kharkiv) | 
        
         
        
          Member of Editirial board:
          
          
          
            | 1994-present time: | International Journal of Low Temperature Physics. | 
          
            | 1994-present time: | Mathematical Physics, Analysis and Geometry. | 
          
            | 1992-present time: | Ukrainian Mathematical Journal. | 
          
            | 1992-present time: | Random Operators and Stochastic Equations. | 
          
            | 2001-2018: | Geometrical and Functional Analysis. | 
          
            | 1987-1989, 1993-1996: | Journal of Statistical Physics. | 
          
            | 1988-1995: | Selecta Matematica Sovetica. | 
        
         
      
        Publications:
        Number of papers: 207 (in the refereed journals - 195)
        Selected Publications for the last 10 years:  
        
          - 
            Entanglement entropy of free fermions with a random matrix as a one-body Hamiltonian 
            (with V. Slavin), Entropy 26, 564 (2024) 23
          
- 
            Irregular gyration of a two-dimensional random-acceleration process 
            in a confining potential (with V. Dotsenko, G. Oshanin, and P. Viot), 
            J. of Statistical Physics 191:27 (2024) 28pp 
          
- 
			      The law of multiplication of large random matrices revisited., Journal of 
            Mathematical Physics, Analysis, Geometry, 19, 191-210 (2023)
          
- 
            On random matrices arising in deep neural networks: general I.I.D. 
            case (with V. Slavin), Random Matrices: Theory and Applications 12, 2250046 (2023) 41pp
          
- 
            Eigenvalue distribution of large random matrices arising in deep neural networks: 
            Orthogonal case, Journal of Mathematical Physics 63, 063505 (2022) 18pp
          
- 
            One-dimensional narrow-band conductors (with V. V. Slavin, and A. A. Krivchikov), 
            Low Temperature Physics 47, 779-803 (2021)
          
- 
            The dynamics of quantum correlations of two qubits in a common environment 
            (with E. Bratus), Journal of Mathematical Physics, Analysis, Geometry 16, 228-262 (2020)
          
- 
            On random matrices arising in deep neural networks: Gaussian case, Pure and 
            Applied Analysis 6, 1395-1424 (2020)
          
- 
            Dynamics of two qubits in a common environment (with E. Bratus), Reviews in 
            Mathematical Physics 33, 2060008 (2020) 13pp
          
- 
            Accumulation of spin-polarized states of charge carriers and a spintronic battery 
            (with V. Slavin and A. Yanovsky), Low Temperature Physics 46, 857-868 (2020) 
          
- 
            How much delocalisation is needed for an enhanced area law of the entanglement 
            entropy? (with P. Muller, R. Schulte), Communications in Mathematical 
            Physics 376, 649-676 (2020)
          
- 
            Szegö-type theorems for one-dimensional Schr¨odinger operator with random 
            potential (smooth case) (with M. Shcherbina), J. of Mathematical Physics, 
            Analysis, Geometry 14, 362-388, (2018)
          
- 
            The absence of the selfaveraging property of the entanglement entropy 
            of disordered free fermions in one dimension (with V. Slavin), 
            J. of Statistical Physics 170, 207-220 (2018)
          
- 
            On the ballistic transport in channels with negative refraction of 
            particles (with V. Slavin and A.Yanovsky), Low Temperature 
            Physics 44, 905-913 (2018)
          
- 
            On the qubits dynamics in a random matrix environment 
            (with E. Bratus), J. Phys. Commun. 2, 015017 (2018) 17pp
          
- 
            Large block properties of the entanglement entropy of free 
            disordered fermions (with A.  Elgart and M. Shcherbina), 
            J. of Statistical Physics 166, 1092-1127 (2017)
          
- 
            Shannon’s mutual information of multiple antenna time 
            and frequency-dependent channels: an ergodic operator 
            approach (with W.Hachem and A. Moustakas). J. of Mathematical 
            Physics, 56, n.11, 113501 (2015) 29pp
          
- 
            On a limiting distribution of singular values of random band 
            matrices (with A. Lytova) Mathematical Physics, Analysis, 
            Geometry, 11, no. 4, 
            311-332 (2015)
          
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            On the equilibrium state of a small system with 
            random matrix coupling to its environment    
            (with J.L.Lebowitz), J. Phys. A 48, no. 26, 265201 (2015) 19pp
          
- 
            Area law scaling for the entropy of disordered quasi-free 
            fermions (with V.Slavin), Phys. Rev. Letters. 113, 150404 (2014) 4pp.
          
- 
            The Central Limit Theorem for linear eigenvalue statistics of 
            the sum of independent random matrices of rank one 
            (with O. Guedon, A. Lytova, A. Pajor), In: Spectral Theory 
            and Differential Equations, 145-164, Amer. Math. Soc. Transl. 
            Ser. 2, 233, Amer. Math. Soc., Providence, RI, 2014
          
- 
            Ground state of one-dimensional repulsing particles on a 
            disordered lattice (with V.V. Slavin, A.A. Krivchikov), 
            Internat. J. Modern Phys. C 25, no. 8, 1450028 (2014) 17 pp.
          
- 
            Thomas precession, persistent spin currents and quantum 
            forces (with S. Ouvry, A. Yanovsky), Europhysics Letters 106 
            18001 (2014) 6pp.