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1. ERP sensitivity to subcategorization violations in L2 learners

   https://doi.org/10.1177/02676583231199426  

   Liao, Chia-Hsuan; Lau, Ellen (October 2023, Second Language Research)

   Event concepts of common verbs (e.g. eat, sleep) can be broadly shared across languages, but a given language’s rules for subcategorization are largely arbitrary and vary substantially across languages. When subcategorization information does not match between first language (L1) and second language (L2), how does this mismatch impact L2 speakers in real time? We hypothesized that subcategorization knowledge in L1 is particularly difficult for L2 speakers to override online. Event-related potential (ERP) responses were recorded from English sentences that include verbs that were ambitransitive in Mandarin but intransitive in English (*  My sister listened the music). While L1 English speakers showed a prominent P600 effect to subcategorization violations, L2 English speakers whose L1 was Mandarin showed some sensitivity in offline responses but not in ERPs. This suggests that computing verb–argument relations, although seemingly one of the basic components of sentence comprehension, in fact requires accessing lexical syntax which may be vulnerable to L1 interference in L2. However, our exploratory analysis showed that more native-like behavioral accuracy was associated with a more native-like P600 effect, suggesting that, with enough experience, L2 speakers can ultimately overcome this interference. 

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2. An L2 to L∞ Framework for the Landau Equation

   Jinoh Kim, Yan Guo (January 2020, Peking mathematical journal)

   Consider the Landau equation with Coulomb potential in a periodic box. We develop a new L2 to L∞ framework to construct global unique solutions near Maxwellian with small L∞ norm. The first step is to establish global L2 estimates with strong velocity weight and time decay, under the assumption of L∞ bound, which is further controlled by such L2 estimates via De Giorgi’s method (Golse et al. in Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 19(1), 253–295 (2019), Imbert and Mouhot in arXiv :1505.04608 (2015)). The second step is to employ estimates in Sp spaces to control velocity derivatives to ensure uniqueness, which is based on Hölder estimates via De Giorgi’s method (Golse et al. in Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 19(1), 253–295 (2019), Golse and Vasseur in arXiv :1506.01908 (2015), Imbert and Mouhot in arXiv :1505.04608 (2015)). 

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3. Are {BERT}s Sensitive to Native Interference in L2 Production?

   https://doi.org/10.18653/v1/2021.insights-1.6  

   Tang, Z; Mitra, P; Reitter, D. (January 2021, Proceedings of the Second Workshop on Insights from Negative Results in NLP)
4. Sobolev norms of L2-solutions to the nonlinear Schrödinger equation

   https://doi.org/10.2140/pjm.2024.331.217  

   Bessonov, Roman V; Denisov, Sergey A (January 2024, Pacific Journal of Mathematics)
5. Exploiting the Sensitivity of L2 Adversarial Examples to Erase-and-Restore

   https://doi.org/10.1145/3433210.3437529  

   Zuo, Fei; Zeng, Qiang (May 2021, The 2021 ACM Asia Conference on Computer and Communications Security)

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