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7 papers · 1 filter
On the density of rational points on elliptic fibrations
F. Bogomolov, Yu. Tschinkel
Let be the Fano threefold given as a hypersurface of degree 6 in (over a number field ). Then there exists a finite extension such that the set of $K…
On the Distribution of the Length of the Longest Increasing Subsequence of Random Permutations
Jinho Baik, Percy Deift, Kurt Johansson
The authors consider the length, , of the length of the longest increasing subsequence of a random permutation of numbers. The main result in this paper is a proof that th…
Unusual Coarsening During Phase Separation in Polymer Systems
C. B. Muratov
We introduce a kinetic model of coarsening of transient polymer networks during the intermediate stages of phase separation in polymer systems. The model explicitly takes into acco…
Scaling Limits for Minimal and Random Spanning Trees in Two Dimensions
Michael Aizenman, Almut Burchard, Charles M. Newman +1
A general formulation is presented for continuum scaling limits of stochastic spanning trees. A spanning tree is expressed in this limit through a consistent collection of subtrees…
Vanishing theorems and universal coverings of projective varieties
Fedor Bogomolov
This article contains a new argument which proves vanishing of the first cohomology for negative vector bundles over a complex projective variety if the rank of the bundle is small…
Theory of Spike Spiral Waves in a Reaction-Diffusion System
C. B. Muratov, V. V. Osipov
We discovered a new type of spiral wave solutions in reaction-diffusion systems --- spike spiral wave, which significantly differs from spiral waves observed in FitzHugh-Nagumo-typ…