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日仏数学拠点FJ-LMIセミナー
過去の記録 ～05/21｜次回の予定｜今後の予定 05/22～
| 担当者 | 小林俊行, ミカエル ペブズナー |
|---|
次回の予定
2026年06月02日(火)
10:00-12:00 数理科学研究科棟(駒場) 号室
佐々田 槙子 氏 (東京大学大学院数理科学研究科)
Scaling Limits of Interacting Particle Systems: From Gaussian Fields to KPZ Universality
https://fj-lmi.cnrs.fr/fj-lmi-day-2026/
佐々田 槙子 氏 (東京大学大学院数理科学研究科)
Scaling Limits of Interacting Particle Systems: From Gaussian Fields to KPZ Universality
[ 講演概要 ]
This talk explores the scaling limits of interacting particle systems with multiple conserved quantities. Starting from weakly asymmetric dynamics on a lattice, we characterize the evolution of fluctuation fields in the diffusive limit. We show how the interplay between different conserved modes leads to a transition from linear Gaussian fields to the KPZ (Kardar-Parisi-Zhang) universality class. Using the framework of Nonlinear Fluctuating Hydrodynamics, we discuss how the second-order nonlinearities in the macroscopic currents determine whether each mode exhibits diffusive or anomalous scaling. This talk is based on joint work with Hugo Da Cunha.
[ 講演参考URL ]This talk explores the scaling limits of interacting particle systems with multiple conserved quantities. Starting from weakly asymmetric dynamics on a lattice, we characterize the evolution of fluctuation fields in the diffusive limit. We show how the interplay between different conserved modes leads to a transition from linear Gaussian fields to the KPZ (Kardar-Parisi-Zhang) universality class. Using the framework of Nonlinear Fluctuating Hydrodynamics, we discuss how the second-order nonlinearities in the macroscopic currents determine whether each mode exhibits diffusive or anomalous scaling. This talk is based on joint work with Hugo Da Cunha.
https://fj-lmi.cnrs.fr/fj-lmi-day-2026/
