2期

最新文章

• Effect of noise on front propagation in reaction-diffusion equations of KPP type AI翻译
  作者：Mueller, Carl; Mytnik, Leonid; Quastel, Jeremy
  作者单位：University of Toronto; University of Rochester; Technion Israel Institute of Technology
  摘要：We consider reaction-diffusion equations of KPP type in one spatial dimension, perturbed by a Fisher-Wright white noise, under the assumption of uniqueness in distribution. Examples include the randomly perturbed Fisher-KPP equations
• Congruences between derivatives of geometric L-functions AI翻译
  作者：Burns, David
  作者单位：University of London; King's College London
  摘要：We prove a natural refinement of a theorem of Lichtenbaum describing the leading terms of Zeta functions of curves over finite fields in terms of Weil-,tale cohomology. We then use this result to prove the validity of Chinburg's Omega(3)-Conjecture for all abelian extensions of global function fields, to prove natural refinements and generalisations of the refined Stark conjectures formulated by, amongst others, Gross, Tate, Rubin and Popescu, to prove a variety of explicit restrictions on the...
• Transverse instability of the line solitary water-waves AI翻译
  作者：Rousset, Frederic; Tzvetkov, Nikolay
  作者单位：Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); CY Cergy Paris Universite; Universite de Rennes
  摘要：We prove the linear and nonlinear instability of the line solitary water waves with respect to transverse perturbations.
• Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds AI翻译
  作者：Maulik, D.; Oblomkov, A.; Okounkov, A.; Pandharipande, R.
  作者单位：Princeton University; Columbia University
  摘要：We prove the equivariant Gromov-Witten theory of a nonsingular toric 3-fold X with primary insertions is equivalent to the equivariant Donaldson-Thomas theory of X. As a corollary, the topological vertex calculations by Agangic, Klemm, Marino, and Vafa of the Gromov-Witten theory of local Calabi-Yau toric 3-folds are proven to be correct in the full 3-leg setting.
• On derivatives of Artin L-series AI翻译
  作者：Burns, David
  作者单位：University of London; King's College London
  摘要：We present a universal theory of refined Stark conjectures. We give evidence in support of these explicit and very general conjectures, including a full proof in several important cases, and explain the connection to previous conjectures of Bloch and Kato, of Lichtenbaum and of Serre and Tate. We also deduce a wide range of unconditional consequences of these results concerning the annihilation, as Galois modules, of ideal class groups by explicit elements constructed from the values of higher...
• Speed of Arnold diffusion for analytic Hamiltonian systems AI翻译
  作者：Zhang, Ke
  作者单位：University of Toronto
  摘要：For a convex, real analytic, epsilon-close to integrable Hamiltonian system with n >= 5 degrees of freedom, we construct an orbit exhibiting Arnold diffusion with the diffusion time bounded by exp(C epsilon (-1/2(n-2))). This upper bound of the diffusion time almost matches the lower bound of order exp(epsilon (-1/2(n-1))) predicted by the Nekhoroshev-type stability results. Our method is based on the variational approach of Bessi and Mather, and includes a new construction on the space of fre...
• K-theoretic rigidity and slow dimension growth AI翻译
  作者：Toms, Andrew
  作者单位：Purdue University System; Purdue University
  摘要：Let A be an approximately subhomogeneous (ASH) C*-algebra with slow dimension growth. We prove that if A is unital and simple, then the Cuntz semigroup of A agrees with that of its tensor product with the Jiang-Su algebra (sic). In tandem with a result of W. Winter, this yields the equivalence of (sic)-stability and slow dimension growth for unital simple ASH algebras. This equivalence has several consequences, including the following classification theorem: unital ASH algebras which are simpl...
• Almost complex structures on quaternion-Kahler manifolds and inner symmetric spaces AI翻译
  作者：Gauduchon, Paul; Moroianu, Andrei; Semmelmann, Uwe
  作者单位：Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Institut Polytechnique de Paris; Ecole Polytechnique; University of Cologne
  摘要：We prove that compact quaternionic-Kahler manifolds of positive scalar curvature admit no almost complex structure, even in the weak sense, except for the complex Grassmannians Gr(2)(a, (n+2)). We also prove that irreducible inner symmetric spaces M (4n) of compact type are not weakly complex, except for spheres and Hermitian symmetric spaces.
• Platonic polyhedra, topological constraints and periodic solutions of the classical N-body problem AI翻译
  作者：Fusco, G.; Gronchi, G. F.; Negrini, P.
  作者单位：University of Pisa; University of L'Aquila; Sapienza University Rome
  摘要：We prove the existence of a number of smooth periodic motions u(*) of the classical Newtonian N-body problem which, up to a relabeling of the N particles, are invariant under the rotation group R of one of the five Platonic polyhedra. The number N coincides with the order vertical bar R vertical bar of R and the particles have all the same mass. Our approach is variational and u(*) is a minimizer of the Lagrangian action A on a suitable subset K of the H-1 T-periodic maps u : R -> R-3N. The se...
• On the fundamental group of hyperelliptic fibrations and some applications AI翻译
  作者：Gurjar, R. V.; Paul, S.; Purnaprajna, B. P.
  作者单位：Tata Institute of Fundamental Research (TIFR); University of Kansas
  摘要：We prove that for a hyperelliptic fibration on a surface of general type with irreducible fibers over a (possibly) non-complete curve, the image of the fundamental group of a general fiber in the fundamental group of the surface is finite. Examples show that the result is optimal. As a corollary of this result we prove two conjectures; the Shafarevich conjecture on holomorphic convexity for the universal cover of these surfaces, and a conjecture of Nori on the finiteness of the fundamental gro...