2期

最新文章

• Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism AI翻译
  作者：Etingof, P; Ginzburg, V
  作者单位：Massachusetts Institute of Technology (MIT); University of Chicago
  摘要：To any finite group Gamma subset of Sp(V) of automorphisms of a symplectic vector space V we associate a new multi-parameter deformation, H-kappa of the algebra C[V]#Gamma, smash product of Gamma with the polynomial algebra on V. The parameter kappa runs over points of P-r, where r = number of conjugacy classes of symplectic reflections in Gamma. The algebra H-kappa called a symplectic reflection algebra, is related to the coordinate ring of a Poisson deformation of the quotient singularity V/...
• Stable manifolds of holomorphic diffeomorphisms AI翻译
  作者：Jonsson, M; Varolin, D
  作者单位：University of Michigan System; University of Michigan
• A nilpotent Roth theorem AI翻译
  作者：Bergelson, V; Leibman, A
  作者单位：University System of Ohio; Ohio State University
  摘要：Let T and S be invertible measure preserving transformations of a probability measure space (X, B, mu). We prove that if the group generated by T and S is nilpotent, then lim(N-->infinity) 1/N Sigma(n=1)(N) u(T(n)x)v(S(n)x) exists in L-2-norm for any u, v epsilon L-infinity(X, B, mu). We also show that for A epsilon B with mu(A) > 0 one has lim(N-->infinity) 1/N Sigma(n=1)(N) mu(A boolean AND T-n A boolean AND S-n A) > 0. By the way of contrast, we bring examples showing that if measure preser...
• On the minimum ropelength of knots and links AI翻译
  作者：Cantarella, J; Kusner, RB; Sullivan, JM
  作者单位：University System of Georgia; University of Georgia; University of Massachusetts System; University of Massachusetts Amherst; University of Illinois System; University of Illinois Urbana-Champaign
  摘要：The ropelength of a knot is the quotient of its length by its thickness, the radius of the largest embedded normal tube around the knot. We prove existence and regularity for ropelength minimizers in any knot or link type; these are C-1,C- 1 curves, but need not be smoother. We improve the lower bound for the ropelength of a nontrivial knot, and establish new ropelength bounds for small knots and links, including some which are sharp.
• On the distribution of points of bounded height on equivariant compactifications of vector groups AI翻译
  作者：Chambert-Loir, A; Tschinkel, Y
  作者单位：Institut Polytechnique de Paris; Ecole Polytechnique; Princeton University
  摘要：We prove asymptotic formulas for the number of rational points of bounded height on smooth equivariant compactifications of the affine space.