Table Of Content

Contents Preface Contents Chapter 1. Fractals Self-organization of magnetic domain patterns P. Bak and H. Flyvbjerg Self-organization and anomalous diffusion P. Bantay and I.M. Janosi Multifractality in a shell model for 3D turbulence L. Biferale, M.H. Jensen, G. Paladin and A. Vulpiani Multifractal analysis, a method to investigate the morphology of materials S. Blacher, F. Brouers and G. Ananthakrishna How a random walk covers a finite lattice M.J.A.M. Brummelhuis and H.J. Hilhorst The fractal nature of the universe P.H. Coleman and L. Pietronero Fast algorithm for computintgh e fractal dimension of binary images R. Creutzburg, A. Mathias and E. Ivanov Experimental study of polarization-selective holes, burning in ab- sorption spectra of metal fractal clusters Yu.E. Danilova, A.I. Plekhanov and V.P. Safonov Fixed scale transformation approach to critical fluctuations and fractal growth A. Erzan Self-similarity of harmonic measure on DLA C.J.G. Evertsz and B.B. Mandelbrot Fractional diffusion equation for transport phenomena in random media M. Giona and H.E. Roman Contents Statistical mechanics of heteropolymer folding G. Iori, E. Marinari, G. Parisi and MLV. Struglia 98 Experimental achievement of 2D percolation and cluster—cluster aggregation models by cluster deposition P. Jensen, P. Melinon, A. Hoareau, J.X. Hu, B. Cabaud, M. Treilleux, E. Bernstein and D. Guillot 104 The orthonormal wavelet representation of complex structures W. Korneta 111 The nonlinear evolution of spatio-temporal structures in microemul- sions W. Korneta, M.A. Lopez-Quintela and A. Fernandez-Novoa 116 Generalized scale invariance and differential rotation in cloud radiances S. Lovejoy, D. Schertzer and K. Pflug 121 Equivalence between the Abelian sandpile model and the q—0 limit of the Potts model S.N. Majumdar and D. Dhar 129 Growth pattern formation in Bénard flows G. Marshall and E. Arguijo 146 Low temperature stability of nonperiodic structures J. Miekisz 151 The spiralling self-avoiding walk and chaotic correlations M. Nifle 154 Monte Carlo study of 3D vesicles E. Orlandini and M.C. Tesi 160 Properties of localized vibrational modes on fractal structures A. Petri 166 Multiscaling transformation in dynamical systems and turbulence G. Paladin, M. Vergassola and A. Vulpiani 174 Resonant excitations and nonlinear optics of fractals V.M. Shalaev, M.I. Stockman and R. Botet 181 Hard and soft multifractal processes D. Schertzer and S. Lovejoy 187 Closed formulae for Green functions on fractal lattices W.A. Schwalm and M.K. Schwalm 195 Fixed scale transformation applied to cluster—cluster aggregation in two and three dimensions S. Sidoretti and A. Vespignani XVi Contents Self-avoiding surfaces and vesicles on a lattice A. Stella Pores and Hausdorff dimension in fractal site-percolation systems E.P. Stoll and M. Kolb Fluids in fractal porous media: scaling of transport properties P.G. Toledo, H.T. Davis and L.E. Scriven Fractal dimensions of Potts clusters C. Vanderzande One-dimensional models of growing and coalescing droplets I. Yekutieli, C. Godréche and B. Derrida Chapter 2. Spin Glasses Study of the asymmetric Little model R. Brunetti, G. Parisi and F. Ritort A class of long range Ising spin models described by Curie—Weiss mean field theory A. Canning Replica symmetry breaking and Monte Carlo simulations for spin glasses S. Caracciolo Multifractality of Ising models on hierarchical lattices: pure and spin glass cases S. Coutinho, O.D. Neto, J.R.L. de Almeida, E.M.F. Curado and W.A.M. Morgado Spin-glass dynamics. Relation between theory and experiment: a beginning J. Hammann, M. Lederman, M. Ocio, R. Orbach and E. Vincent Short range corrections to the order parameter and to the excitation spectrum of the Ising spin glass I. Kondor, C. De Dominicis and T. Temesvari The REM zeros in the complex temperature and magnetic field planes C. Moukarzel and N. Parga Some recent developments in the theory of replica symmetry breaking G. Parisi Contents Proton and deuteron glasses R. Pirc, B. Tadic and R. Blinc Replica approach to the quantum infinite-ranged XY spin glass K. Walasek and K. Lukierska-Walasek Numerical study of the TAP equations for infinite-range spin glass models T. Yokota Chapter 3. Neural Networks Simple diagrammatic rules for solving dendritic cable problems L.F. Abbott Optimal storage capacity for diluted multi-state neural networks: continuous and discrete couplings D. Bollé, P. Dupont and J. van Mourik On the phase diagram of the Q-state Potts-glass neural network D. Bollé, P. Dupont and J. Huyghebaert Geometrical interpretation of the back-propagation algorithm for the perceptron M. Budinich and E. Milotti Neural networks with dynamical thresholds C. Campbell and K.Y.M. Wong Replica-symmetry breaking in neural networks V.S. Dotsenko and B. Tirozzi A neural network dynamics that resembles protein evolution E.A. Ferran and P. Ferrara Learning in feed-forward neural networks by improving the perfor- mance M.B. Gordon, P. Pereto and M. Rodriguez-Girones Biased learning in Boolean perceptrons O. Kinouchi and N. Caticha Exact learning and default-rule governed behaviour A.F. Kohan and R.P.J. Perazzo A model for a multi-class classification machine A. Rau and J.-P. Nadal Spatio-temporal dynamics of human EEG M. Palus, I. Dvorak and I. David XVili Contents Topological maps on Ising spin networks G.A. van Velzen Selecting examples for an optimal perceptron T.L.H. Watkin and A. Rau Sequences of memories in Boolean networks T.L.H. Watkin and D. Sherrington Statistical mechanics of neural networks: what are the differences between wide and narrow basins? K.Y.M. Wong and D. Sherrington Novel phase diagrams of sequential learning in neural networks K.Y.M. Wong, P.E. Kahn and D. Sherrington Adaptive optimization in neural networks K.Y.M. Wong and D. Sherrington Basins of attraction in a neural network model trained with external fields H.W. Yau and D.J. Wallace List of contributors