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Towards KPZ universality

[HYBRID WORKSHOP] Connections and Introductory Workshop: Universality and Integrability in Random Matrix Theory and Interacting Particle Systems, Part 1 August 23, 2021 - August 27, 2021

August 27, 2021 (10:45 AM PDT - 11:45 AM PDT)
Speaker(s): Jeremy Quastel (University of Toronto)
Location: MSRI: Online/Virtual
  • Exclusion processes

  • interface growth

  • Kardar-Parisi-Zhang equation

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Towards KPZ Universality


This will be a survey talk on asymptotic fluctuations in the KPZ universality class.  These are governed by an invariant fixed point whose transition probabilities are given by determinants and satisfy integrable partial differential equations. Convergence to the fixed point of some non-integrable models like the KPZ equation and partially asymmetric exclusions is obtained by comparison with the integrable case using energy estimates.

91599?type=thumb Towards KPZ universality 4.98 MB application/pdf Download
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Towards KPZ Universality

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