Journal of the European Mathematical Society

Items from 1 to 20 out of 55 results

article

Editorial

Jrgen Jost

Journal of the European Mathematical Society > 1999 > 1 > 1 > 1-3

JEMS is a new mathematical research journal, founded by the EMS, aiming at the highest international scientific level, and edited by Jrgen Jost (managing editor), Luigi Ambrosio, Gerard Ben Arous, John Coates, Helmut Hofer, Alexander Merkurjev and a board of about 30 associate editors. It will be published by Springer. The first issue will appear in January 1999. The current editorial wishes to present...

article

Hamiltonian loops from the ergodic point of view

Leonid Polterovich

Journal of the European Mathematical Society > 1999 > 1 > 1 > 87-107

Let G be the group of Hamiltonian diffeomorphisms of a closed symplectic manifold Y. A loop h:S1G is called strictly ergodic if for some irrational number the associated skew product map T:S1YS1Y defined by T(t,y)=(t+,h(t)y) is strictly ergodic. In the present paper we address the following question. Which elements of the fundamental group of G can be represented by strictly ergodic loops? We prove...

article

Spectra of elements in the group ring of SU(2)

Alex Gamburd, Dmitry Jakobson, Peter Sarnak

Journal of the European Mathematical Society > 1999 > 1 > 1 > 51-85

We present a new method for establishing the gap property for finitely generated subgroups of SU(2), providing an elementary solution of Ruziewicz problem on S2 as well as giving many new examples of finitely generated subgroups of SU(2) with an explicit gap. The distribution of the eigenvalues of the elements of the group ring R[SU(2)] in the N-th irreducible representation of SU(2) is also studied...

article

Non-Archimedean integrals and stringy Euler numbers of log-terminal pairs

Victor V. Batyrev

Journal of the European Mathematical Society > 1999 > 1 > 1 > 5-33

Using non-Archimedian integration over spaces of arcs of algebraic varieties, we define stringy Euler numbers associated with arbitrary Kawamata log-terminal pairs. There is a natural Kawamata log-terminal pair corresponding to an algebraic variety V having a regular action of a finite group G. In this situation we show that the stringy Euler number of this pair coincides with the physicists orbifold...

article

On the ideal class groups of the maximal real subfields of number fields with all roots of unity

Masato Kurihara

Journal of the European Mathematical Society > 1999 > 1 > 1 > 35-49

In this paper, for a totally real number field k we show the ideal class group of k(n0n)+ is trivial. We also study the p-component of the ideal class group of the cyclotomic Zp-extension.

article

Endomorphisms of symbolic algebraic varieties

M. Gromov

Journal of the European Mathematical Society > 1999 > 1 > 2 > 109-197

The theorem of Ax says that any regular selfmapping of a complex algebraic variety is either surjective or non-injective; this property is called surjunctivity and investigated in the present paper in the category of proregular mappings of proalgebraic spaces. We show that such maps are surjunctive if they commute with sufficiently large automorphism groups. Of particular interest is the case of proalgebraic...

article

Bounded cohomology of lattices in higher rank Lie groups

M. Burger, N. Monod

Journal of the European Mathematical Society > 1999 > 1 > 2 > 199-235

We prove that the natural map Hb2()?H2() from bounded to usual cohomology is injective if is an irreducible cocompact lattice in a higher rank Lie group. This result holds also for nontrivial unitary coefficients, and implies finiteness results for : the stable commutator length vanishes and any C1action on the circle is almost trivial. We introduce the continuous bounded cohomology of a locally compact...

article

Effective Nullstellensatz for arbitrary ideals

Jnos Kollr

Journal of the European Mathematical Society > 1999 > 1 > 3 > 313-337

Abstract. Let fi be polynomials in n variables without a common zero. Hilberts Nullstellensatz says that there are polynomials gi such that gifi=1. The effective versions of this result bound the degrees of the gi in terms of the degrees of the fj. The aim of this paper is to generalize this to the case when the fi are replaced by arbitrary ideals. Applications to the Bzout theorem, to ojasiewicztype...

article

Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents

Fanghua Lin, Tristan Rivire

Journal of the European Mathematical Society > 1999 > 1 > 3 > 237-311

Abstract. There is an obvious topological obstruction for a finite energy unimodular harmonic extension of a S1-valued function defined on the boundary of a bounded regular domain of Rn. When such extensions do not exist, we use the Ginzburg-Landau relaxation procedure. We prove that, up to a subsequence, a sequence of Ginzburg-Landau minimizers, as the coupling parameter tends to infinity, converges...

article

Erratum: J. Eur. Math. Soc. 1, 199–235 (1999)

Journal of the European Mathematical Society > 1999 > 1 > 3 > 338-338

article

Erratum: J. Eur. Math. Soc. 1, 199235 (1999)

Journal of the European Mathematical Society > 1999 > 1 > 3 > 338

article

Rigidity of critical circle mappings I

Edson de Faria, Welington de Melo

Journal of the European Mathematical Society > 1999 > 1 > 4 > 339-392

Abstract. We prove that two C3 critical circle maps with the same rotation number in a special set ? are C1+ conjugate for some 0 provided their successive renormalizations converge together at an exponential rate in the C0 sense. The set ? has full Lebesgue measure and contains all rotation numbers of bounded type. By contrast, we also give examples of C critical circle maps with the same rotation...

article

Convex integration with constraints and applications to phase transitions and partial differential equations

S. Mller, V. verk

Journal of the European Mathematical Society > 1999 > 1 > 4 > 393-422

Abstract. We study solutions of first order partial differential relations DuK, where u:nm is a Lipschitz map and K is a bounded set in mn matrices, and extend Gromovs theory of convex integration in two ways. First, we allow for additional constraints on the minors of Du and second we replace Gromovs P-convex hull by the (functional) rank-one convex hull. The latter can be much larger than the former...

article

Erratum: J. Eur. Math. Soc. 1, 237-311 (1999)

Journal of the European Mathematical Society > 2000 > 2 > 1 > 87-91

article

Almost invariant submanifolds for compact group actions

Alan Weinstein

Journal of the European Mathematical Society > 2000 > 2 > 1 > 53-86

Abstract. We define a C1 distance between submanifolds of a riemannian manifold M and show that, if a compact submanifold N is not moved too much under the isometric action of a compact group G, there is a G-invariant submanifold C1-close to N. The proof involves a procedure of averaging nearby submanifolds of riemannian manifolds in a symmetric way. The procedure combines averaging techniques of...

article

Stable ergodicity and julienne quasi-conformality

Charles Pugh, Michael Shub

Journal of the European Mathematical Society > 2000 > 2 > 1 > 1-52

Abstract. In this paper we dramatically expand the domain of known stably ergodic, partially hyperbolic dynamical systems. For example, all partially hyperbolic affine diffeomorphisms of compact homogeneous spaces which have the accessibility property are stably ergodic. Our main tools are the new concepts julienne density point and julienne quasi-conformality of the stable and unstable holonomy maps...

article

Erratum: J. Eur. Math. Soc. 1, 237-311 (1999)

Journal of the European Mathematical Society > 2000 > 2 > 1 > 87-91

article

Motivic cohomology and unramified cohomology of quadrics

Bruno Kahn, R. Sujatha

Journal of the European Mathematical Society > 2000 > 2 > 2 > 145-177

Abstract. This is the last of a series of three papers where we compute the unramified cohomology of quadrics in degree up to 4. Complete results were obtained in the two previous papers for quadrics of dimension 4 and 11. Here we deal with the remaining dimensions between 5 and 10. We also prove that the unramified cohomology of Pfister quadrics with divisible coefficients always comes from the ground...

article

Slowdown estimates and central limit theorem for random walks in random environment

Alain-Sol Sznitman

Journal of the European Mathematical Society > 2000 > 2 > 2 > 93-143

Abstract. This work is concerned with asymptotic properties of multi-dimensional random walks in random environment. Under Kalikows condition, we show a central limit theorem for random walks in random environment on d, when d2. We also derive tail estimates on the probability of slowdowns. These latter estimates are of special interest due to the natural interplay between slowdowns and the presence...

article

The Cayley Trick, lifting subdivisions and the Bohne-Dress theorem on zonotopal tilings

Birkett Huber, Jrg Rambau, Francisco Santos

Journal of the European Mathematical Society > 2000 > 2 > 2 > 179-198

Abstract. In 1994, Sturmfels gave a polyhedral version of the Cayley Trick of elimination theory: he established an order-preserving bijection between the posets of coherent mixed subdivisions of a Minkowski sum ?1+...+?r of point configurations and of coherent polyhedral subdivisions of the associated Cayley embedding ?(?1,...,?r). In this paper we extend this correspondence in a natural way to cover...

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Journal of the European Mathematical Society

Editorial

Hamiltonian loops from the ergodic point of view

Spectra of elements in the group ring of SU(2)

Non-Archimedean integrals and stringy Euler numbers of log-terminal pairs

On the ideal class groups of the maximal real subfields of number fields with all roots of unity

Endomorphisms of symbolic algebraic varieties

Bounded cohomology of lattices in higher rank Lie groups

Effective Nullstellensatz for arbitrary ideals

Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents

Erratum: J. Eur. Math. Soc. 1, 199–235 (1999)

Erratum: J. Eur. Math. Soc. 1, 199235 (1999)

Rigidity of critical circle mappings I

Convex integration with constraints and applications to phase transitions and partial differential equations

Erratum: J. Eur. Math. Soc. 1, 237-311 (1999)

Almost invariant submanifolds for compact group actions

Stable ergodicity and julienne quasi-conformality

Erratum: J. Eur. Math. Soc. 1, 237-311 (1999)

Motivic cohomology and unramified cohomology of quadrics

Slowdown estimates and central limit theorem for random walks in random environment

The Cayley Trick, lifting subdivisions and the Bohne-Dress theorem on zonotopal tilings

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