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Conformally invariant measures on paths and loops – Gregory Lawler – ICM2018
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Plenary Lecture 5
Conformally invariant measures on paths and loops
Gregory Lawler
Abstract: There has been incredible progress in the last twenty years in the study of fractal paths and fields that arise in planar statistical physics. I will give an introduction to the area and discuss some recent results, focusing on some of the main characters (self-avoiding and loop-erased walk, Brownian loop measures, Schramm–Loewner evolution (SLE) and SLE-type loops, Gaussian free field, Liouville quantum gravity). I will also describe some analogous problems in other spatial dimensions.
ICM 2018 – International Congress of Mathematicians ©
Os direitos sobre todo o material deste canal pertencem ao Instituto de Matemática Pura e Aplicada, sendo vedada a utilização total ou parcial do conteúdo sem autorização prévia e por escrito do referido titular, salvo nas hipóteses previstas na legislação vigente.
The rights over all the material in this channel belong to the Instituto de Matemática Pura e Aplicada, and it is forbidden to use all or part of it without prior written authorization from the above mentioned holder, except in the cases prescribed in the current legislation.
Conformally invariant measures on paths and loops
Gregory Lawler
Abstract: There has been incredible progress in the last twenty years in the study of fractal paths and fields that arise in planar statistical physics. I will give an introduction to the area and discuss some recent results, focusing on some of the main characters (self-avoiding and loop-erased walk, Brownian loop measures, Schramm–Loewner evolution (SLE) and SLE-type loops, Gaussian free field, Liouville quantum gravity). I will also describe some analogous problems in other spatial dimensions.
ICM 2018 – International Congress of Mathematicians ©
Os direitos sobre todo o material deste canal pertencem ao Instituto de Matemática Pura e Aplicada, sendo vedada a utilização total ou parcial do conteúdo sem autorização prévia e por escrito do referido titular, salvo nas hipóteses previstas na legislação vigente.
The rights over all the material in this channel belong to the Instituto de Matemática Pura e Aplicada, and it is forbidden to use all or part of it without prior written authorization from the above mentioned holder, except in the cases prescribed in the current legislation.
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