Imagined communities: Reflections on the origin and spread of nationalism

to be done in this area. Face recognition is a problem that scarcely clamoured for attention before the computer age but, having surfaced, has involved a wide range of techniques and has attracted the attention of some fine minds (David Mumford was a Fields Medallist in 1974). This singular application of mathematical modelling to a messy applied problem of obvious utility and importance but with no unique solution is a pretty one to share with students: perhaps, returning to the source of our opening quotation, we may invert Duncan's earlier observation, 'There is an art to find the mind's construction in the face!'.

Linear and nonlinear waves, by G. B. Whitham. Pp.636. £50. 1999. ISBN 0 471 35942 4 (Wiley).

Drug addiction is a pathological state; the disorder involves the progression of acute drug use to the development of drug seeking behavior. The diagnostic and statistical manual of mental disorders, 4th edition, categorized three stages of drug addictions preoccupation, anticipation, binge intoxication and withdrawal or negative effect. These stages are characterized respectively by constant craving and preoccupation with obtaining the substance, using more of the substance and experience the necessary intoxicating effects and experiencing tolerance withdrawal symptoms and decrease motivation of normal life activities.

Diagnostic And Statistical Manual Of Mental Disorders 4th Edition

We present a project of classification of a certain class of bihamiltonian 1+1 PDEs depending on a small parameter Our aim is to embed the theory of Gromov - Witten invariants of all genera into the theory of integrable systems The project is focused at describing normal forms of the PDEs and their local bihamiltonian structures satisfying certain simple axioms A Frobenius manifold or its degeneration is associated to every bihamiltonian structure of our type The main result is a universal loop equation on the jet space of a semisimple Frobenius manifold that can be used for perturbative reconstruction of the integrable hierarchy We show that first few terms of the perturbative expansion correctly reproduce the universal identities between intersection numbers of Gromov - Witten classes and their descendents

Normal forms of hierarchies of integrable PDEs, Frobenius manifolds and Gromov - Witten invariants

http://www.gbv.de/dms/hebis-darmstadt/toc/113948433.pdf

The Problem of Integrable Discretization: Hamiltonian Approach

We address the problem of the separation of variables for the Hamilton–Jacobi equation within the theoretical scheme of bi-Hamiltonian geometry. We use the properties of a special class of bi-Hamiltonian manifolds, called ωN manifolds, to give intrisic tests of separability (and Stackel separability) for Hamiltonian systems. The separation variables are naturally associated with the geometrical structures of the ωN manifold itself. We apply these results to bi-Hamiltonian systems of the Gel'fand–Zakharevich type and we give explicit procedures to find the separated coordinates and the separation relations.

Separation of Variables for Bi-Hamiltonian Systems

Eight lectures on integrable systems

We use ideas of the geometry of bihamiltonian manifolds, developed by Gel'fand and Zakharevich, to study the KP equations. In this approach they have the form of local conservation laws, and can be traded for a system of ordinary differential equations of Riccati type, which we call the Central System. We show that the latter can be linearized by means of a Darboux covering, and we use this procedure as an alternative technique to construct rational solutions of the KP equations.

Bihamiltonian Geometry, Darboux Coverings,and Linearization of the KP Hierarchy

We discuss the bihamiltonian geometry of the Toda lattice (peri- odic and open). Using some recent results on the separation of variables for bihamiltonian manifold, we show that these systems can be explicitly integrated via the classical Hamilton-Jacobi method in the so-called Darboux-Nijenhuis coordinates.

Bihamiltonian geometry and separation of variables for Toda lattices

In this study I examine fashion blogging as a subfield of the field of fashion media by using a Bourdieusian theoretical framework. After identifying the steps of the “career” of bloggers, my aim is to highlight the cultural, economic, and social resources (forms of capital) that bloggers use to access the field, and the strategies they mobilize to shape their relations with other agents within it. The empirical terrain which is investigated to answer these questions is the Italian fashion blogosphere; thirty-four in-depth interviews with (mainly female) fashion bloggers and six with key informants (fashion journalists and website editors) were collected between 2011 and 2014.Moreover, a more general aim is to question common-sense interpretations (blogs as a revolutionary tool in fashion communication and as a new fashion marketing frontier) to give a normalized picture of fashion blogging as a progressively autonomous social field, governed by its own laws. Through an in-depth analysis of the It...

Marco Pedroni

Papers

Separation of Variables for Bi-Hamiltonian Systems

Eight lectures on integrable systems

Bihamiltonian Geometry, Darboux Coverings,and Linearization of the KP Hierarchy

Bihamiltonian geometry and separation of variables for Toda lattices

“Stumbling on the Heels of My Blog”: Career, Forms of Capital, and Strategies in the (Sub)Field of Fashion Blogging