Generic function

Consider a system with a single degree of freedom and assume that the equation expressing its dynamic equilibrium is a second order ordinary differential equation (ODE) in the generalized coordinate x.

164p hiruscar 19-10-2010 90 9   Download

Aims of the study: The study aims to explore the generic structure potential (GSP) of a type of content marketing blog posts – instructional blog posts - in English and Vietnamese.

86p closefriend09 16-11-2021 21 4   Download

Given a compact four dimensional manifold, we prove existence of conformal metrics with constant Q-curvature under generic assumptions. The problem amounts to solving a fourth-order nonlinear elliptic equation with variational structure. Since the corresponding Euler functional is in general unbounded from above and from below, we employ topological methods and min-max schemes, jointly with the compactness result of [35]. 1.

48p dontetvui 17-01-2013 59 7   Download

For diffeomorphisms of smooth compact finite-dimensional manifolds, we consider the problem of how fast the number of periodic points with period n grows as a function of n. In many familiar cases (e.g., Anosov systems) the growth is exponential, but arbitrarily fast growth is possible; in fact, the first author has shown that arbitrarily fast growth is topologically (Baire) generic for C 2 or smoother diffeomorphisms.

83p noel_noel 17-01-2013 44 8   Download

For many classically chaotic systems it is believed that the quantum wave functions become uniformly distributed, that is the matrix elements of smooth observables tend to the phase space average of the observable. In this paper we study the fluctuations of the matrix elements for the desymmetrized quantum cat map. We present a conjecture for the distribution of the normalized matrix elements, namely that their distribution is that of a certain weighted sum of traces of independent matrices in SU(2).

20p noel_noel 17-01-2013 62 6   Download

Let π be a cuspidal generic representation of SO(2n + 1, A). We prove that L( 1 , π) ≥ 0. 2 1. Introduction Let π be a cuspidal automorphic representation of GLn (A) where A is the ring of ad`les of a number field F . Suppose that π is self-dual. Then the e “standard” L-function ([GJ72]) L(s, π) is real for s ∈ R and positive for s

28p tuanloccuoi 04-01-2013 52 6   Download