[PDF] Top 20 Asymptotic expansion of closed geodesics in homology classes

... between closed geodesics on M and closed orbits for ...of closed geodesics on M and the set of closed orbits for φ ...corresponding closed orbit for φ ... See full document

... an asymptotic expansion including error terms for the number of closed orbits in the homology classes for homological full Anosov ... See full document

... of closed geodesics ordered by the word length of the corresponding con- jugacy class in the fundamental group of the metric ...an asymptotic for pairs of closed geodesics in ...their ... See full document

... We prove Theorem 4.1.1 by considering the analytic properties of a complex gen- erating function. Our analysis of this complex generating function relies on the spectral properties of the transfer operator. We require ... See full document

... a closed 1-form on M, giving rise to a (de Rham) cohomology class[ω] ∈ H 1 ( M, R), and let Z : M → T M be the vector field generating the ...its asymptotic cycle m ∈ H 1 ( M , ... See full document

... section closed classes of groups which generate £ » Of particular interest are those varieties generated by their skeletons, for they are generated by a unique minimal section closed class of ... See full document

... greater than the sum of the vcd ’s of the factors. An assembly map induced by gluing pairs of leaves of a single graph preserves the vcd , so such an assembly map might conceivably be nontrivial in that dimension, though ... See full document

... f closed orbits in a homology class fo r a w eak-m ixing transitive Anosov flow [9] ...an asymptotic form ula, use approximation arguments (which are incidently more direct than the 'unsm oothing' ... See full document

... 2 Asymptotic formulas Theorem . develops the approximation formula . to produce a complete asymptotic expansion.... be a given real number.[r] ... See full document

... We can now prove the main result of this section, namely, the existence of a closed geodesic. Such a result extends the classical and celebrated theorem of Lyusternik-Fet [20] to the case of contact manifolds (for ... See full document

... an asymptotic expansion as n → ∞ in the half-plane Re(c − 1+ n) ≥ 0, and ...an asymptotic expansion as n → ∞ in the half-plane Re(a+ b − c − 1 + n) ≥ ... See full document

... In this note we want to relate the Weil–Petersson metric on Teichmüller space to the boundary correspondence between the actions on the boundary of Fuchsian groups. Consider the space of Riemann metrics g on a compact ... See full document

... A geodesic path joining x ∈ M to y ∈ M (or, more briefly, a geodesic from x to y) is a map c from a closed interval [, l] ⊂ R to M such that c() = x, c(l) = y, and d(c(t), c(t )) = |t – t | for all t, t ∈ [, l]. ... See full document

... Using the notion of the quasiasymptotic behaviour of distributions from ’= {fe [0,}, introduced by Zavialov in [15], they obtained more general results than supp f in [6,7,2] for the asy[r] ... See full document

... Close to the origin, a corrective term, is added to in the asymptotic expansion (2.7). nds on the space components. It is defined in unbounded ain which is the dilatation of gin. As a matter of fact, close ... See full document

... The asymptotic methods can be used to calculate the energies of Rydberg states of lithium-like ions [34] consisting of a core (a core consisting of a nucleus with two electrons in the [r] ... See full document

... Simplifying somewhat, one can say that Einstein’s original way of motivating the field equations of general re- lativity was that, assuming the equivalence of all possible frames of reference and adding a few very ... See full document

... exceptional closed geodesics of period 2π/n for n > 1 and then try to derive a contradiction by using the results above together with the Bott Iteration Formula, which calculate the index of an iterated ... See full document

... In this section we shall prove that the equality of h = h(M ) and h( M ) is equivalent to amenability of G. To do this, we need to relate the growth of closed geodesics in C( M , W ) or, equivalently, of ... See full document

... The corresponding result for compact rank-1 manifolds was proven by Knieper [16]. The paper is organized as follows. In Section 2, we recall some basic facts about Gro- mov hyperbolic spaces. In particular, we study the ... See full document