More Like this

1. Loday constructions on twisted products and on tori

   https://doi.org/10.1016/j.topol.2022.108103  

   Hedenlund, Alice; Klanderman, Sarah; Lindenstrauss, Ayelet; Richter, Birgit; Zou, Foling (July 2022, Topology and its Applications)
2. On the Pelletier and Caventou (1817, 1818) papers on chlorophyll and beyond

   https://doi.org/10.1007/s11120-024-01081-x  

   Govindjee, Govindjee; Stirbet, Alexandrina; Lindsey, Jonathan S; Scheer, Hugo (April 2024, Photosynthesis Research)
3. Carleson embedding on tri-tree and on tri-disc

   Mozolyako, Pavel; Psaromiligkos, Georgios; Volberg, Alexander; Zorin-Kranich, Pavel (May 2022, Revista matemática iberoamericana)

   We prove multi-parameter dyadic embedding theorem for Hardy operator on the multi-tree. We also show that for a large class of Dirichlet spaces in bi-disc and tri-disc this proves the embedding theorem of those Dirichlet spaces of holomorphic function on bi- and tri-disc. We completely describe the Carleson measures for such embeddings. The result below generalizes embedding result of [AMPVZ] from bi- tree to tri-tree and from Carleson–Chang condition to Carleson box condition. One of our embedding description is similar to Carleson–Chang–Fefferman condition and involves dyadic open sets. On the other hand, the unusual feature is that embedding on bi-tree and tri-tree turned out to be equivalent to one box Carleson condition. This is in striking difference to works of Chang–Fefferman and well known Carleson quilt counterexample. Finally, we explain the obstacle that prevents us from proving our results on poly-discs of dimension four and higher. 

   more » « less
4. Expert perspectives on global biodiversity loss and its drivers and impacts on people

   https://doi.org/10.1002/fee.2536  

   Isbell, Forest; Balvanera, Patricia; Mori, Akira S; He, Jin‐Sheng; Bullock, James M; Regmi, Ganga Ram; Seabloom, Eric W; Ferrier, Simon; Sala, Osvaldo E; Guerrero‐Ramírez, Nathaly R; et al (March 2023, Frontiers in Ecology and the Environment)
5. Vapor Flux on Bumpy Surfaces: Condensation and Transpiration on Leaves

   https://doi.org/doi.org/10.1021/acs.langmuir.1c00473  

   Jung, Sunghwan (April 2021, Langmuir)

   Drop condensation and evaporation as a result of the gradient in vapor concentration are important in both engineering and natural systems. One of the interesting natural examples is transpiration on plant leaves. Most of the water in the inner space of the leaves escapes through stomata, whose rate depends on the surface topography and a difference in vapor concentrations inside and just outside of the leaves. Previous research on the vapor flux on various surfaces has focused on numerically solving the vapor diffusion equation or using scaling arguments based on a simple solution with a flat surface. In this present work, we present and discuss simple analytical solutions on various 2D surface shapes (e.g., semicylinder, semiellipse, hair). The method of solving the diffusion equation is to use the complex potential theory, which provides analytical solutions for vapor concentration and flux. We find that a high mass flux of vapor is formed near the top of the microstructures while a low mass flux is developed near the stomata at the leaf surface. Such a low vapor flux near the stomata may affect transpiration in two ways. First, condensed droplets on the stomata will not grow due to a low mass flux of vapor, which will not inhibit the gas exchange through the stomatal opening. Second, the low mass flux from the atmosphere will facilitate the release of highly concentrated vapor from the substomatal space. 

   more » « less