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Lucas Affonso Silva Pereira

CV Lattes ResearcherID ORCID  Google Scholar Citations


Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME)  (Institutional affiliation from the last research proposal)
Birthplace: Brazil

He holds a bachelor's degree in Physics from the University of São Paulo (2017) and a PhD in Applied Mathematics from the University of São Paulo (2023). Currently, he is a postdoc at the Institute of Mathematics and Statistics of the University of São Paulo (IME-USP) under the supervision of Prof. Anatoli Iambartsev. He has experience in the areas of classical and quantum equilibrium statistical mechanics, especially in long-range Ising-type models and KMS states for quantum spin systems. (Source: Lattes Curriculum)

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  • Abstract

    The notion of equilibrium is central in statistical mechanics. In the classical case, the DLR equations describe all the possible equilibrium states for a spin lattice system. In the quantum case, where the appropiate notion of equilibrium is the KMS condition, the very notion of boundary condition is not well understood, even though some proposals already exist. In this project, using th…

    Boundary conditions and KMS states, BE.EP.DD
Virtual Library in numbers * Updated data on August 09, 2025
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1 / 1   Ongoing scholarships in Brazil
1 / 1   Completed scholarships in Brazil
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3 / 3   All Scholarships
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Keywords used by the researcher
Mathematics Physical Sciences and Mathematics
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