Titlebook: In the Tradition of Thurston III; Geometry and Dynamic Ken’ichi Ohshika,Athanase Papadopoulos Book 2024 The Editor(s) (if applicable) and T

Migratory

,Thurston’s Broken Windows Only Theorem Revisited,for Haken manifolds. In this chapter, we show that the second statement of this theorem is not valid, giving a counter-example. We also give a weaker version of this statement with a proof. In the last section, we speculate on how this second statement was intended to be used in the proof of the bou

預(yù)測

善于

Counting Problems for Invariant Point Processes,the plane using an axiomatic perspective. Applications include counting holonomies of saddle connections, lattice points, and fine scale distribution in various contexts. This is a perspective inspired by work of Veech (Ann. Math. (2) 148(3):895–944, 1998), and developed further by, among others, Es

多節(jié)

Orbifolds and the Modular Curve,of view on the subject (discrete groups acting properly and effectively on differentiable manifolds), the construction of the modular orbi-curve and its universal family of elliptic curves ends up requiring a bit more technology, in order to allow for non-effective actions.

慎重

Fecal-Impaction

language with dense choices gives rise to the latter. We also consider the nondeterministic random assignment and parallel composition, both couched in a simple language. Besides non determinism our four example languages contain some form of recursion, a key ingredient of programming languages.

高歌

發(fā)現(xiàn)

嗎啡

KIN