Analytic normalization of analytic integrable systems and the embedding flows

Arnold diffusion in perturbations of analytic integrable Hamiltonian systems

Arnold Instability for Nearly{integrable Analytic Hamiltonian Systems

A notion of instability, which is proposed as a deenition for the so{called \Arnold diiusion", for one{parameter families of nearly{integrable analytic Hamiltonian systems, is introduced. An example of unstable system is given.

A P-adic Approach to Local Analytic Dynamics: Analytic Flows and Analytic Maps Tangent to the Identity

In this note, we will consider the question of local equivalence of analytic functions which fix the origin and are tangent to the identity, as well as the question of flows of analytic vector fields. All mappings and equivalences are considered in the non-archimedean context e.g. all norms can be considered p-adic norms. We show that any two mappings f and g which are formally equivalent are a...

The Analytic Network Process

Abstract   The Analytic Network Process (ANP) is a generalization of the Analytic Hierarchy Process (AHP). The basic structure is an influence network of clusters and nodes contained within the clusters. Priorities are established in the same way they are in the AHP using pairwise comparisons and judgment. Many decision problems cannot be structured hierarchically because they involve the inter...

Normalization Factors, Reflection Amplitudes and Integrable Systems

We calculate normalization factors and reflection amplitudes in the Winvariant conformal quantum field theories. Using these CFT data we derive vacuum expectation values of exponential fields in affine Toda theories and related perturbed conformal field theories. We apply these results to evaluate explicitly the expectation values of order parameters in the field theories associated with statis...