Inventiones mathematicae

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• Kotani-Last problem and Hardy spaces on surfaces of Widom type AI翻译
  作者：Volberg, A.; Yuditskii, P.
  作者单位：Michigan State University; Johannes Kepler University Linz
  摘要：This is a small theory of non almost periodic ergodic families of Jacobi matrices with purely (however) absolutely continuous spectrum. The reason why this effect may happen is that under our axioms we found an analytic condition on the resolvent set that is responsible for (exactly equivalent to) this effect.
• Brownian Gibbs property for Airy line ensembles AI翻译
  作者：Corwin, Ivan; Hammond, Alan
  作者单位：University of Oxford
  摘要：Consider a collection of N Brownian bridges ,B-i : [- N, N] -> R, B-i(-N) = B-i(N) = 0, 1 <= i <= N, conditioned not to intersect. The edge-scaling limit of this system is obtained by taking a weak limit as N -> a of the collection of curves scaled so that the point (0,2(1/2) N) is fixed and space is squeezed, horizontally by a factor of N (2/3) and vertically by N (1/3). If a parabola is added to each of the curves of this scaling limit, an x-translation invariant process sometimes called the...
• Le cycles and Milnor classes AI翻译
  作者：Callejas-Bedregal, R.; Morgado, M. F. Z.; Seade, J.
  作者单位：Universidade Federal da Paraiba; Universidade Estadual Paulista; Universidad Nacional Autonoma de Mexico
  摘要：The purpose of this work is to establish a link between the theory of Chern classes for singular varieties and the geometry of the varieties in question. Namely, we show that if Z is a hypersurface in a compact complex manifold, defined by the complex analytic space of zeroes of a reduced non-zero holomorphic section of a very ample line bundle, then its Milnor classes, regarded as elements in the Chow group of Z, determine the global L cycles of Z; and vice versa: The L cycles determine the M...
• New obstructions to symplectic embeddings AI翻译
  作者：Hind, R.; Kerman, E.
  作者单位：University of Notre Dame; University of Illinois System; University of Illinois Urbana-Champaign
  摘要：In this paper we establish new restrictions on the symplectic embeddings of basic shapes in symplectic vector spaces. By refining an embedding technique due to Guth, we also show that they are sharp.
• O-minimal Hauptvermutung for polyhedra I AI翻译
  作者：Shiota, Masahiro
  作者单位：Nagoya University
  摘要：Milnor discovered two compact polyhedra which are homeomorphic but not PL homeomorphic (a counterexample to the Hauptvermutung). He constructed the homeomorphism by a finite procedure repeated infinitely often. Informally, we call a procedure constructive if it consists of an explicit procedure that is repeated only finitely many times. In this sense, Milnor did not give a constructive procedure to define the homeomorphism between the two polyhedra. In the case where the homeomorphism is semia...
• Global rigidity of higher rank abelian Anosov algebraic actions AI翻译
  作者：Hertz, Federico Rodriguez; Wang, Zhiren
  作者单位：Pennsylvania Commonwealth System of Higher Education (PCSHE); Pennsylvania State University; Pennsylvania State University - University Park; Yale University
  摘要：We show that all Anosov -actions on tori and nilmanifolds without rank-one factor actions are, up to conjugacy, actions by automorphisms.
• The number of topological generators for full groups of ergodic equivalence relations AI翻译
  作者：Le Maitre, Francois
  作者单位：Ecole Normale Superieure de Lyon (ENS de LYON)
  摘要：We completely elucidate the relationship between two invariants associated with an ergodic probability measure-preserving (pmp) equivalence relation, namely its cost and the minimal number of topological generators of its full group. It follows that for any free pmp ergodic action of the free group on n generators, the minimal number of topological generators for the full group of the action is n + 1, answering a question of Kechris.
• Geometric RSK correspondence, Whittaker functions and symmetrized random polymers AI翻译
  作者：O'Connell, Neil; Seppalainen, Timo; Zygouras, Nikos
  作者单位：University of Warwick; University of Wisconsin System; University of Wisconsin Madison; University of Warwick
  摘要：We show that the geometric lifting of the RSK correspondence introduced by A.N. Kirillov (Physics and Combinatorics. Proc. Nagoya 2000 2nd Internat Workshop, pp. 82-150, 2001) is volume preserving with respect to a natural product measure on its domain, and that the integrand in Givental's integral formula for -Whittaker functions arises naturally in this context. Apart from providing further evidence that Whittaker functions are the natural analogue of Schur polynomials in this setting, our r...
• L-functions and theta correspondence for classical groups AI翻译
  作者：Yamana, Shunsuke
  作者单位：Kyushu University
  摘要：Using the doubling method of Piatetski-Shapiro and Rallis, we develop a theory of local factors of representations of classical groups and apply it to give a necessary and sufficient condition for nonvanishing of global theta liftings in terms of analytic properties of the L-functions and local theta correspondence.
• Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below AI翻译
  作者：Ambrosio, Luigi; Gigli, Nicola; Savare, Giuseppe
  作者单位：Scuola Normale Superiore di Pisa; Universite Cote d'Azur; University of Pavia
  摘要：This paper is devoted to a deeper understanding of the heat flow and to the refinement of calculus tools on metric measure spaces (X, d, m). Our main results are: A general study of the relations between the Hopf-Lax semigroup and Hamilton-Jacobi equation in metric spaces (X, d). The equivalence of the heat flow in L-2(X, m) generated by a suitable Dirichlet energy and the Wasserstein gradient flow of the relative entropy functional Entm in the space of probability measuresP(X). The proof of d...