Large-scale limit of interface fluctuation models
We extend the weak universality of KPZ in [HQ18] to weakly asymmetric interface models with general growth mechanisms beyond polynomials. A key new ingredient is a pointwise bound on correlations of trigonometric functions of Gaussians in terms of their polynomial counterparts. This enables us to re...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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Institute of Mathematical Statistics
2019
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| _version_ | 1797054716032581632 |
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| author | Hairer, M Xu, W |
| author_facet | Hairer, M Xu, W |
| author_sort | Hairer, M |
| collection | OXFORD |
| description | We extend the weak universality of KPZ in [HQ18] to weakly asymmetric interface models with general growth mechanisms beyond polynomials. A key new ingredient is a pointwise bound on correlations of trigonometric functions of Gaussians in terms of their polynomial counterparts. This enables us to reduce the problem of a general nonlinearity with sufficient regularity to that of a polynomial. |
| first_indexed | 2024-03-06T19:01:08Z |
| format | Journal article |
| id | oxford-uuid:138ed318-1cb7-463e-afc4-8b30552f6594 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:01:08Z |
| publishDate | 2019 |
| publisher | Institute of Mathematical Statistics |
| record_format | dspace |
| spelling | oxford-uuid:138ed318-1cb7-463e-afc4-8b30552f65942022-03-26T10:14:32ZLarge-scale limit of interface fluctuation modelsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:138ed318-1cb7-463e-afc4-8b30552f6594EnglishSymplectic Elements at OxfordInstitute of Mathematical Statistics2019Hairer, MXu, WWe extend the weak universality of KPZ in [HQ18] to weakly asymmetric interface models with general growth mechanisms beyond polynomials. A key new ingredient is a pointwise bound on correlations of trigonometric functions of Gaussians in terms of their polynomial counterparts. This enables us to reduce the problem of a general nonlinearity with sufficient regularity to that of a polynomial. |
| spellingShingle | Hairer, M Xu, W Large-scale limit of interface fluctuation models |
| title | Large-scale limit of interface fluctuation models |
| title_full | Large-scale limit of interface fluctuation models |
| title_fullStr | Large-scale limit of interface fluctuation models |
| title_full_unstemmed | Large-scale limit of interface fluctuation models |
| title_short | Large-scale limit of interface fluctuation models |
| title_sort | large scale limit of interface fluctuation models |
| work_keys_str_mv | AT hairerm largescalelimitofinterfacefluctuationmodels AT xuw largescalelimitofinterfacefluctuationmodels |