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1. Quasi-toric differential inclusions

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   Craciun, Gheorghe; Deshpande, Abhishek; Jenny Yeon, Hyejin (January 2017, Discrete & Continuous Dynamical Systems - B)
2. Fluid Inclusions in Fibrous Diamonds

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   Weiss, Yaakov; Czas, Janina; Navon, Oded (July 2022, Reviews in Mineralogy and Geochemistry)
3. Multivariate Monotone Inclusions in Saddle Form

   https://doi.org/10.1287/moor.2021.1161  

   Bùi, Minh N.; Combettes, Patrick L. (May 2022, Mathematics of Operations Research)

   We propose a novel approach to monotone operator splitting based on the notion of a saddle operator. Under investigation is a highly structured multivariate monotone inclusion problem involving a mix of set-valued, cocoercive, and Lipschitzian monotone operators, as well as various monotonicity-preserving operations among them. This model encompasses most formulations found in the literature. A limitation of existing primal-dual algorithms is that they operate in a product space that is too small to achieve full splitting of our problem in the sense that each operator is used individually. To circumvent this difficulty, we recast the problem as that of finding a zero of a saddle operator that acts on a bigger space. This leads to an algorithm of unprecedented flexibility, which achieves full splitting, exploits the specific attributes of each operator, is asynchronous, and requires to activate only blocks of operators at each iteration, as opposed to activating all of them. The latter feature is of critical importance in large-scale problems. The weak convergence of the main algorithm is established, as well as the strong convergence of a variant. Various applications are discussed, and instantiations of the proposed framework in the context of variational inequalities and minimization problems are presented. 

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4. Cracks as Limits of Eshelby Inclusions

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   Markenscoff, X. (January 2019, Physical Mesomechanics)
5. Inclusions and exclusions in treeline definitions

   https://doi.org/10.1111/jbi.14729  

   Malanson, George P. (January 2024, Journal of Biogeography)

   Abstract Körner and Hoch's (2023) definition of “treeline” to include only forest edges that are arctic or alpine, globally distributed and thermally limited is reconsidered for the alpine, with attention to the alpine treeline ecotone. They characterize the alpine treeline and the ecotone as a single phenomenon at a single fundamental niche limit, with all other montane forest edges at realized niche limits. The framework restricts treeline and the treeline ecotone to narrow but interesting ecophysiological questions but leaves other fundamentally limited edges, those in disequilibrium with a changed temperature regime, and the extensive zone of krummholz and tree‐species seedlings now often referred to as the treeline ecotone, without terminology. Recognizing other fundamental niche limited edges as treelines, if not alpine, and defining “alpine treeline” as a zone or line within the broader “alpine treeline ecotone”, are proposed to promote synergies in research in these related systems. 

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