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82 papers · 1 filter
Note On the blowup criterion of smooth solution to the incompressible viscoelastic flow
Baoquan Yuan
We study the blowup criterion of smooth solution to the Oldroyd models. Let be a smooth solution in , it is shown that the solution does…
Multiple Mixing for adele groups and rational points
Alexander Gorodnik, Ramin Takloo-Bighash, Yuri Tschinkel
We prove an asymptotic formula for the number of rational points of bounded height on projective equivariant compactifications of $H\G$, where is a connected simple algebraic g…
Galois theory and projective geometry
Fedor Bogomolov, Yuri Tschinkel
We explore connections between birational anabelian geometry and abstract projective geometry. One of the applications is a proof of a version of the birational section conjecture.
Ultrametric skeletons
Manor Mendel, Assaf Naor
We prove that for every there exists with the following property. If is a compact metric space and is a Borel probability measure on $X…
Non-stationary compositions of Anosov diffeomorphisms
Mikko Stenlund
Motivated by non-equilibrium phenomena in nature, we study dynamical systems whose time-evolution is determined by non-stationary compositions of chaotic maps. The constituent maps…
The number of edges in k-quasi-planar graphs
Jacob Fox, Janos Pach, Andrew Suk
A graph drawn in the plane is called k-quasi-planar if it does not contain k pairwise crossing edges. It has been conjectured for a long time that for every fixed k, the maximum nu…