More Like this

1. On a neck, on a spit: controls on the shape of free spits

   https://doi.org/10.5194/esurf-4-193-2016  

   Ashton, A. D.; Nienhuis, J.; Ells, K. (January 2016, Earth Surface Dynamics)

   null (Ed.)

   Abstract. We investigate the controls upon the shape of freely extending spits using a one-contour-line model of shoreline evolution. In contrast to existing frameworks that suggest that spits are oriented in the direction of alongshore sediment transport and that wave refraction around the spit end is the primary cause of recurving, our results suggest that spit shoreline shapes are perhaps best understood as graded features arising from a complex interplay between distinct morphodynamic elements: the headland updrift of the spit, the erosive "neck" (which may be overwashing), and the depositional "hook". Between the neck and the hook lies a downdrift-migrating "fulcrum point" which tends towards a steady-state trajectory set by the angle of maximum alongshore sediment transport. Model results demonstrate that wave climate characteristics affect spit growth; however, we find that the rate of headland retreat exerts a dominant control on spit shape, orientation, and progradation rate. Interestingly, as a spit forms off of a headland, the rate of sediment input to the spit itself emerges through feedbacks with the downdrift spit end, and in many cases faster spit progradation may coincide with reduced sediment input to the spit itself. Furthermore, as the depositional hook rests entirely beyond the maximum in alongshore sediment transport, this shoreline reach is susceptible to high-angle wave instability throughout and, as a result, spit depositional signals may be highly autogenic. 

   more » « less
2. On a conjecture of Talagrand on selector processes and a consequence on positive empirical processes

   https://doi.org/10.4007/annals.2024.199.3.6  

   Park, Jinyoung; Pham, Huy Tuan (May 2024, Annals of Mathematics)
3. On a problem of Neumann

   https://doi.org/10.1016/j.disc.2018.11.004  

   Tait, Michael (December 2018, Discrete Mathematics)
4. On a conjecture of Lynch

   https://doi.org/10.1080/00927872.2020.1722821  

   Singh, Anurag K.; Walther, Uli (June 2020, Communications in Algebra)

   null (Ed.)
5. On a Theorem of Lafforgue

   https://doi.org/10.1093/imrn/rnae114  

   Baker, Matthew; Lorscheid, Oliver (May 2024, International Mathematics Research Notices)

   Abstract We give a new proof, along with some generalizations, of a folklore theorem (attributed to Laurent Lafforgue) that a rigid matroid (i.e., a matroid with indecomposable basis polytope) has only finitely many projective equivalence classes of representations over any given field. 

   more » « less