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We study a particle moving in R 2 under a constant (external) force and bouncing off a periodic array of convex domains (scatterers); the latter must satisfy a standard ‘finite horizon’...
This paper proves limit theorems for the number of monochromatic edges in uniform random colorings of general random graphs. The limit theorems are universal depending solely on the limiting behavior ...
Let A0 be a complete characteristic (0; p) discrete valuation ring with absolute rami cation degree e and a perfect residue eld. We are interested in studying the category FFA0 of nite at commutat...
研究了潘勒韦Ⅲ型差分方程的亚纯解的Borel例外值,零点极点和不动点的收敛指数.另外还给出了一些证明结论条件精确的例子.
Based on the exact solution of the eigenvalue problem for the Uq[sl(2|1)] vertex model built from alternating 3-dimensional fundamental and dual representations by means of the algebraic Bethe ansat...
Let (M, g) be a compact Riemannian manifold on which a tracefree and divergence-free  2 W1,p and a positive function  2 W1,p, p > n,are fixed. In this paper, we study the vacuum Einstein constraint ...
We prove a new sharp correlation inequality for sums of i.i.d.square integrable lattice distributed random variables. We also apply it to establish an almost sure local limit theorem for iid square in...
We prove that every 6-connected graph of girth ≥ 6 has a K6-minor and thus settle Jorgensen’s conjecture for graphs of girth ≥ 6. Relaxing the assumption on the girth, we prove that every 6-connecte...
Some time ago, Thies et al. showed that the Gross-Neveu model with a bare mass term possesses a kink-antikink crystalline phase. Corresponding self-consistent solutions, known earlier in polymer physi...
We investigate population dynamics in N-level systems driven beyond the linear regime by a strong external field, which couples to the system through an operator with nonzero diagonal elements.
The μ-limit set of a cellular automaton is a subshift whose forbidden patterns are exactly those, whose probabilities tend to zero as time tends to in-finity. In this article, for a given subshift in ...
A subbundle of variable dimension inside the tangent bundle of a smooth man-ifold is called a smooth distribution if it is the pointwise span of a family of smooth vector fields. We prove that all suc...
In a recent paper Hilhorst (1) illustrated that the q-Fourier transform for q > 1 is not invertible in the space of density functions. Using an invariance principle he constructed a family of densit...
We study analogues of Tate’s conjecture on homomorphisms for abelian varieties when the ground field is finitely generated over an algebraic closure of a finite field. Our results cover the case of ab...
In this paper we obtain the central limit theorem for triangular arrays of non-homogeneous Markov chains under a condition imposed to the maximal coefficient of correlation. The proofs are based on ma...

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