(3/2) log 3 [725]. (α) [1112]. (A ∨ B)⇒ C [1135]. (q) [1377]. ∗ [36]. + [668, 1193]. 0 [890, 104, 762, 161, 336, 432, 1166]. 1 [882, 133, 162, 762, 1166]. 101 [1252]. 180 [1039]. 2 [1068, 1281, 172, 267, 1181, 585, 1002, 1367]. 2.5 [168]. 2λ [530]. 3 [51, 731, 1346, 824, 784]. 4 [551]. = [17]. 0 [1223]. A∗ [1182]. α [1371, 599]. Bn [550]. β [1138]. β = λ [283]. cβ [831]. D [1328, 1356]. ∆ [606]...

We construct non-compact contact manifolds containing compact Legendrians which can be displaced from their Reeb flow with arbitrarily small oscillation energy. use this to show the Shelukhin-Chekanov-Hofer pseudo-metric considered by Rosen and Zhang (Math. Res. Lett. 27:1165–1193, 2020) is degenerate on isotopy class of constructed Legendrians. Other aspects related energy Legendrian isotopies...

We investigate systems of self-propelled particles with alignment interaction. Compared to previous work (Degond and Motsch, Math. Models Methods Appl. Sci. 18:1193–1215, 2008a; Frouvelle, Math. Models Methods Appl. Sci., 2012), the force acting on the particles is not normalized, and this modification gives rise to phase transitions from disordered states at low density to aligned states at hi...