Description / Table of Contents: The use and ultimate validity of invariance principles -- Cohomology and contraction: The “non-relativistic” limit revisited -- Linearization - A unified approach -- Weyl kinematical groups of electromagnetic and energy-momentum tensors -- From spinors to probability amplitudes of external and internal variables for spinning particles -- A characterizatton of factor systems of locally-operating representations -- Recent developments on shift operators -- Unitary and non-unitary, multiplicity free irreducible representations of SL (3,R) -- The symmetry group of a differential equation -- Group contractions and the E(2)-like little group for massless particles as an infinite-momentum/zero-mass limit of the 0(3)-like little group for massive particles -- Representation approach to lattices of subgroups of space groups -- Young tableaux for the Lie superalgebra OSP(M/N) -- The associated Lie Algebra of $$\ddot x$$ + f2 $$\dot x$$ + f1x = f0 -- Three-dimensional commutative diagram of group homomorphisms -- Indecomposable representations of Verma type -- Some recent results on the SU(3)? SO(3) state labelling problem -- Irreducible projective representations of the generalized symmetric groups B n m -- Indecomposable representations of some graded Lie Algebras -- Stephen Paneitz: A brief appreciation -- Indecomposable representations of the Poincare group and associated fields -- SL(n,R)/SO(n) unirreps and group decontraction -- Hysteresis & universal bifurcation in natural processes -- Irreducible representations of the basic classical Lie superalgebras SU(m/n) ; SU(n/n)/U(1) ; OSp(m/2n) ; D(2/1 ; ? ) ; G(3) ; F(4). -- Group representations in indefinite metric spaces -- Tensor operator realisations of the classical Lie Algebras and non-trivial zeros of the 6j-symbol -- Yang - Baxter algebras of dynamical charges in the chiral gross - Neveu model -- Subgroups of Lie groups and symmetry reduction for nonlinear partial differential equations -- Spinorial description of Lie superalgebras -- Noetherian symmetries, backlund transformation and conservation laws for a completely integrable three dimensional system -- Einstein equations without killing vectors, self-dual Yang-Mills field and non-linear sigma models (integrability properties, links, new solutions) -- Jet bundle technique, Lie Bäcklund vector fields and diffusion equations -- A group-theoretic treatment of Gaussian optics and third-order aberrations -- Study of Michel's conjecture -- Conformally invariant solutions of Yang-Mills equations in Minkowski space -- Two body relativistic scattering with an 0(1,1) symmetric sqaure well potential -- Emergence of central extension of Kac-Moody algebra in quantum integrable models -- Cohomological interpretation of anomalies the example of the trace anomaly -- On pure, conformal and exotic spinors -- Pohlmeyer-type transformations in general relativity -- On group covariance and the law of motion in a generalized metric theory -- Minimalization of Higgs potentials with application to the SU(5) model -- Self-dual monopoles and calorons -- U(1) Invariant hierarchy theories in d-dimension antisymmetric gauge tensor fields -- Generalized connection forms with linearized curvature -- Dynamical symmetry breaking in S4 De Sitter space -- Applications of conformal invariance to gauge Quantum Field Theory -- On the necessity of breaking colour SUC(3) symmetry -- Massive vector superfields with SU(2) internal symmetry -- Supergravity in eleven-dimensional space-time -- Dimensional reduction of exceptional gauge groups and flavor chirality -- Seven - Spheres from octonions -- A solution of Bianchi identities for extended supergravities -- N=2 unconstrained superfield supergravity from hypermultiplet -- Euclidean supersymmetries in three and four dimensions -- Gauge theories in higher dimensions: Linear relations for gauge fields, integrability conditions, spherical symmetry in eight dimensions -- Quantum vortices and diff (?3) -- The time dependent Sp(2,?) model for the breathing mode -- The quark structure of nuclei from a group theoretical viewpoint -- Group theoretic approach to spherical anharmonic oscillator -- Operator averages and orthogonalities -- Advances in the theory of collective motion in nuclei -- Quantum effects in classical phase space: Symplectic structures associated to the scattering of nuclear fragments -- Gamow states in momentum representation -- Geometry of nuclear collective motions -- Is it possible to separate the kinetic energy and the velocity field into a collective and an intrinsic part W.R.T. the GL+(3,)R) collectivity? -- Computer generated Clebsch-Gordan (C-G) coefficients for space groups -- Automorphism symmetries of space group representations -- Lattices of symmetric groups S5 and S6 and exomorphism of group-subgroup relations up to index 6 -- A direct-expansion method for tensor properties of crystals -- Isotropy groups of space groups - A simple method for their determination -- Landau's theory of crystalline phase transitions in a superspace formulation -- Symmetry breaking in solid state and particle physics -- Counterexamples to the maximality conjecture of Landau-Higgs models -- Some mathematical problems in renormalization group theory -- On the Racah algebra for Shubnikov magnetic groups -- On periodic and non-periodic space fillings of Em obtained by projection -- Invariants for physically irreducible representations of space groups -- On symmetry aspects of phase transitions with coupled parameters -- Quasisymmetry (P-symmetry) in crystals -- Braid groups and Euclidean Lie algebras in statistical mechanics of spin systems -- Phase coexistence in many-fermion systems -- Mean field renormalization group approach to lattice models -- Linear-antilinear representations of magnetic line groups -- Anderson transition and nonlinear ?-model -- Do energy bands in solids have an identity -- Coupling coefficients for the space group of the hexagonal close-packed structure -- Harmonic analysis on phase space and Born's metric for space time -- Generalized Chebyshev polynomials and characters of GL(N,C) and SL(N,C) (fragments of results) -- Tensor operators as an extension of the universal enveloping algebra -- A group-theoretical criterion for an Einstein-Podolsky-Rosen state -- Group theory algebras and bosonization -- SO(3) commutators for angular momentum and rotation observables -- Integrals of motion of nonstationary quantum systems -- Geometric properties of the lowest energy state for a polynomial Hamiltonian -- Groupes différentiels et physique mathématique -- Gauge invariance and canonical transformations in Dirac generalized mechanics

Description / Table of Contents: Regularite de fonctions aleatoires non Gaussiennes -- The minimax principle in asymptotic statistical theory -- Some applications of stochastic calculus to partial differential equations -- Analyse infinitesimale de fonctions aleatoires.

Description / Table of Contents: More Random Walks in Science is an anthology of fascinating and frequently amusing anecdotes, quotations, illustrations, articles, and reviews that reflect the more lighthearted aspects of the scientific world and the less serious excursions of the scientific mind. The book is guaranteed to delight anyone who has a professional or amateur interest in science.