Research interests of Paulo Cupertino de Lima

Mathematical Physics. In particular, Renormalization Group methods applied to problems in Statistical Mechanics, Quantum Field Theory and Dynamical Systems, Approximation Theory (Wavelets).

Post Doctorate Degree:

Rutgers University, New Brunswick, New Jersey, USA.

Doctor degree:

Courant Institute of Mathematical Sciences, New York University, N.Y.C., USA.

Supervisor: Thomas Spencer.

Master degree:

Universidade Federal de Minas Gerais - Departamento de Física.

Supervisor: Ricardo S. Schor.

Publications in the last few years:

__Paulo Cupertino Lima, `` Renormalization Group Fixed Points in the Local Potential  Approximation for $d \geq 3$'', Communications in Mathematical Physics, 170, 529-539  (1995).

sss

__Gastão A. Braga, Paulo C. Lima and Michael L. O'Carroll, ``Exponential Decay of Truncated Correlation Functions Via the Generating Function: A Direct Method'', Reviews of Mathematical Physics, Vol. 10, Nº (1998), 429-438  

__Gastão A. Braga, Paulo C. Lima and Michael L. O'Carroll, ``Low Temperature Properties of ____the Blume-Emery-Griffiths (BEG) Model in the Region with an Infinite Number of Ground State Configurations'',  Reviews of Mathematical Physics, Vol. 12,  Nº 6, (2000), 779-806.

__Paulo Cupertino de Lima, ``Wavelets: Teoria, Algoritmos e Aplicações" ,  em preparação (2002).

     Paulo Cupertino de Lima, ''Wavelets: uma introdução'', Matemática Universitária,  Nº  33 ( 2002) , 13-44.

Gastão A. Braga and Paulo C. Lima, "The Blume-Emery-Griffiths Model at an Infinitely Many Ground States Interface and          Exponential Decay of Correlations at all Nonzero Temperatures",  Journal of Physics A: Mathematical and General,  36 (2003) 9609-9615. 

Gastão A. Braga and Paulo C. Lima, "Addendum to  the Blume-Emery-Griffiths Model at an Infinitely Many Ground States Interface and Exponential Decay of Correlations at all Nonzero Temperatures",  Journal of Physics A: Mathematical and General, 37, 1459-1460, (2004).

Gastão A. Braga and Paulo C. Lima, A remark on the residual entropy of the Antiferromagnetic Ising Model in the Maximal Critical Field, Journal of Statistical Physics, 131, 1189-1193, (2008) .

Gastão A. Braga and Paulo C. Lima, On the residual entropy of the Blume Emery-

Griffiths model model, J. Stat. Phys., 130, 571-578, (2008).

    Paulo C. Lima, Armando G. M. Neves, On the residual Entropy of the BEG Model Model at the Antiquadrupolar-Ferromagnetic Coexistence Line, Journal of Statistical Physics, 144, 749-758 (2011).

Artigos de Divulgação

 O Teorema de Lee-Yang,   maio, 2004.

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