Профессор кафедры Ламэ Zhan Shi прочтёт курс лекций "Branching random walks".
Первая лекция состоится в четверг, 13 апреля, в 15:25 в 413 комнате.
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"Branching random walks"
Zhan Shi
Branching random walks and branching Brownian motions are branching systems where each
individual, also referred to as particle, is associated with a spatial parameter representing the fitness
value of the individual. They are connected to Fisher-Kolmogorov-Petrovskii-Piskunov (F-KPP) partial
differential equations, logarithmically correlated Gaussian fields including the two-dimensional Gaussian
free field, Liouville Brownian motion, planar quadrangulations, Derrida's Generalized Random Energy
Model (GREM) of spin glasses. I am going to give an elementary and self-contained introduction
to the study of the structure of extreme positions in branching random walks and branching Brownian motions.
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