A group theoretical approach to hydrodynamics considers hydrodynamics to be the
differential geometry of diffeomorphism groups. The principle of least action implies that the …

A review of classical percolation theory is presented, with an emphasis on novel
applications to statistical topography, turbulent diffusion, and heterogeneous media …

Knots and links have been conjectured to play a fundamental role in a wide range of
physical fields, including plasmas and fluids, both quantum and classical. In fluids, the …

The relation of magnetic helicity to the topological structure of field lines is discussed. If
space is divided into a collection of flux tubes, magnetic helicity arises from internal structure …

This paper is a study of incompressible fluids, especially their Clebsch variables and
vortices, using symplectic geometry and the Lie-Poisson structure on the dual of a Lie …

This book covers the major problems of turbulence and turbulent processes, including
physical phenomena, their modeling and their simulation. After a general introduction in …

The helicity of a localized solenoidal vector field (ie the integrated scalar product of the field
and its vector potential) is known to be a conserved quantity under 'frozen field'distortion of …

The total number of such permutations is equal to (n—1)(«—2)/2. Some of them are rotations
(isomorphic to the addition of a constant to the residues modn). But it is not clear what …

Preface “... ad alcuno, dico, di quelli, che troppo laconicamente vorrebbero vedere, nei piu
angusti spazii che possibil fusse, ristretti i filosofici insegnamenti, sı che sempre si usasse …

In the second edition of their successful textbook, Professors Landahl and Mollo-
Christensen have taken the opportunity to include recent developments in the field of chaos …