麻豆AV

CRM-ISM Probability Seminar

Title:聽Correlations of Busemann functions and the 2nd KPZ relationship

Abstract: Busemann functions (correctors in homogenization theory) are objects of interest in first- and last-passage percolation. Determining the correlations of Busemann function increments is important because of their relationship to the second KPZ relationship that relates the two fluctuation exponents in the models. We show that the correlations of adjacent Busemann increments in last-passage percolation with general weights is directly related to the time-constant of last-passage percolation with exponential weights (a famous integrable model). Using this relationship, we give an easily checkable condition that determines when adjacent Busemann increments are negatively correlated.

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Meeting ID: 875 9669 4672

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