DOI10.1017/CBO9780511605826zbMath1075.82001OpenAlexW1530342450MaRDI QIDQ2760410
Daniel Ben-Avraham, Shlomo Havlin
Publication date: 1 January 2002
Full work available at URL: https://doi.org/10.1017/cbo9780511605826
Randomly biased walks on subcritical trees,
Analytical results for the distribution of cover times of random walks on random regular graphs,
Quantum walk on a comb with infinite teeth,
Analytical results for the distribution of first-passage times of random walks on random regular graphs,
Unnamed Item,
Quantum gravity and gravitational-wave astronomy,
Exact enumeration of self-avoiding walks on critical percolation clusters in 2–7 dimensions,
Existence of solutions for a coupled system of nonlinear implicit differential equations involving \(\varrho\)-fractional derivative with anti periodic boundary conditions,
Dispersion of tracer particles by wave turbulence,
Relations between scaling exponents in unimodular random graphs,
A Framework for Nonlocal, Nonlinear Initial Value Problems,
Subdiffusion in an array of solid obstacles,
Escape and finite-size scaling in diffusion-controlled annihilation,
Kinetics of diffusion-controlled annihilation with sparse initial conditions,
Spatial dimension of atoms arrangement as a function of temperature: a fractons' functional,
Stochastic resetting in interacting particle systems: a review,
Two-dimensional nonlinear time fractional reaction-diffusion equation in application to sub-diffusion process of the multicomponent fluid in porous media,
Random walks on dual Sierpinski gaskets,
On the existence of solutions to a (p,q)‐Laplacian system on the Sierpiński gasket on ℝN−1,
Turing instability of anomalous reaction–anomalous diffusion systems,
Mathematical Modelling of Subdiffusion-reaction Systems,
Comb Model with Slow and Ultraslow Diffusion,
Subdiffusion–Absorption Process in a System with a Thin Membrane,
Transitions in asymmetric spike patterns with anomalous diffusion,
Memory-Induced Bifurcation and Oscillations in the Chemical Brusselator Model,
Analytic treatment of random walk models with non-linear history-dependent correlations,
The distribution of first hitting times of randomwalks on Erdős–Rényi networks,
Anomalous diffusion and random search in xyz-comb: exact results,
HOW DOES THE DIFFUSION EQUATION ON FRACTALS LOOK?,
Condensation in the inhomogeneous zero-range process: an interplay between interaction and diffusion disorder,
First passage time for a diffusive process under a geometric constraint,
Single-file diffusion on self-similar substrates,
Crossover properties of a one-dimensional reaction-diffusion process with a transport current,
Irreversible reactions and diffusive escape: stationary properties,
Universal behavior for single-file diffusion on a disordered fractal,
Random walks on uniform and non-uniform combs and brushes,
Memory induced anomalous dynamics in a random walker with internal states,
On the quantum potential,
CALCULUS ON FRACTAL CURVES IN Rn,
A generalized fractional-order elastodynamic theory for non-local attenuating media,
Asymptotic Safety, Fractals, and Cosmology,
Phase transitions in a reaction-diffusion model on a line with boundaries,
Detecting long-range correlations with detrended fluctuation analysis,
Most probable paths in homogeneous and disordered lattices at finite temperature,
EXPLANATION OF THE REACTION OF MONOCLONAL ANTIBODIES WITH CANDIDA ALBICANS CELL SURFACE IN TERMS OF COMPOUND POISSON PROCESS,
Exactly Solvable Stochastic Processes for Traffic Modelling,
Brownian motion: a paradigm of soft matter and biological physics,
Two-species diffusion-annihilation process on the fully-connected lattice: probability distributions and extreme value statistics,
Space–time fractional diffusion equations in d-dimensions,
Inference of Markov models from trajectories via large deviations at level 2.5 with applications to random walks in disordered media,
KINETIC RESPONSE OF SURFACES DEFINED BY FINITE FRACTALS,
MIXING TIME OF A + B− > 0 IN ONE DIMENSION,
FLUID FLOW THROUGH DISORDERED POROUS MEDIA,
Crossover between diffusion-limited and reaction-limited regimes in the coagulation–diffusion process,
Option pricing under stochastic volatility: the exponential Ornstein–Uhlenbeck model,
Characteristic Times for the Fermi–Ulam Model,
Large deviations for the density and current in non-equilibrium-steady-states on disordered rings,
Interlacing relaxation and first-passage phenomena in reversible discrete and continuous space Markovian dynamics,
Freezing phase transition in a fractal potential,
Minimization of spatial cover times for impaired self-avoiding random walks: the mirage effect,
Solutions for a hyperbolic diffusion equation with linear reaction terms,
Multispecies extension of the solvable partially asymmetric reaction–diffusion processes,
Solvable reaction-diffusion processes without exclusion,
Anomalous Behavior of Random Walks on Disordered Media,
Spatio-temporal dynamics of random transmission events: from information sharing to epidemic spread,
Stochastic PDEs, random fields and exact mean-values,
DIFFUSION ON FRACTAL OBJECTS MODELING AND ITS PHYSICS-INFORMED NEURAL NETWORK SOLUTION,
Random search on comb,
The distribution of first hitting times of non-backtracking random walks on Erdős–Rényi networks,
Accessibility measure for eternal inflation: dynamical criticality and higgs metastability,
Analytical results for the distribution of first hitting times of random walks on random regular graphs,
Backbone diffusion and first-passage dynamics in a comb structure with confining branches under stochastic resetting,
Modeling diffusive transport with a fractional derivative without singular kernel,
On the influence of reflective boundary conditions on the statistics of Poisson-Kac diffusion processes,
Statistical analysis of digital images of periodic fibrous structures using generalized Hurst exponent distributions,
MFPT calculation for random walks in inhomogeneous networks,
Space-time fractional diffusion equation using a derivative with nonsingular and regular kernel,
Comb-like models for transport along spiny dendrites,
Modeling Riemann-Liouville fractional differential equations for diffusion and reaction in fractal porous media,
Black swans, extreme risks, and the e-pile model of self-organized criticality,
Numerical modeling of fluid flow through multiscale fractured-porous media by quadtrees,
Differences between fixed time step and kinetic Monte Carlo methods for biased diffusion,
On a nonlinear mixed-order coupled fractional differential system with new integral boundary conditions,
Sturm-Liouville problem and numerical method of fractional diffusion equation on fractals,
Diffusion process and reaction on a surface,
Searching efficiency of multiple walkers on the weighted networks,
Application of \(p\)-adic wavelets to model reaction-diffusion dynamics in random porous media,
On the lack of controllability of fractional in time ODE and PDE,
Principal eigenvalue, maximum principles and linear stability for nonlocal diffusion equations in metric measure spaces,
Delay-controlled reactions,
General PFG signal attenuation expressions for anisotropic anomalous diffusion by modified-Bloch equations,
Diffusion-limited reaction in one dimension,
Occupation times of long-range exclusion and connections to KPZ class exponents,
Anomalous electrical and frictionless flow conductance in complex networks,
Random walks and polymers in the presence of quenched disorder,
Domain coarsening in a subdiffusive Allen-Cahn equation,
Fractional electrostatic equations in fractal composite structures,
A study of a nonlinear coupled system of three fractional differential equations with nonlocal coupled boundary conditions,
The asymptotic safety scenario in quantum gravity,
Quantum field theory, gravity and cosmology in a fractal universe,
A simple mathematical model inspired by the Purkinje cells: from delayed travelling waves to fractional diffusion,
Survival probabilities in biased random walks: to restart or not to restart? That is the question,
Quantum continuous time random walk in nonlinear Schrödinger equation with disorder,
Transient anomalous diffusion in heterogeneous media with stochastic resetting,
Higher-order phase transitions on financial markets,
Explosive percolation in the human protein homology network,
Biased diffusion in a piecewise linear random potential,
Lagrangian and Hamiltonian mechanics on fractals subset of real-line,
On distributions of functionals of anomalous diffusion paths,
Anomalous diffusion in a circular comb with external velocity field,
Random walks and diffusion on networks,
An interacting particle model with compact hierarchical structure,
Multiscale modeling of diffusion in a crowded environment,
Numerical inversion of the Laplace transform and its application to fractional diffusion,
Applications of \(p\)-adics to geophysics: linear and quasilinear diffusion of water-in-oil and oil-in-water emulsions,
Catastrophic event phenomena in communication networks: a survey,
Modeling and simulation of the fractional space-time diffusion equation,
Quantum walks on Sierpinski gasket and Sierpinski tetrahedron,
Electrostatics in fractal geometry: fractional calculus approach,
Geographical embedding of scale-free networks,
Reaction fronts in reversible \(A+B\rightleftharpoons C\) reaction-diffusion systems,
Appearance of the nonlinearity from the nonlocality in diffusion through multiscale fractured porous media,
Results for a fractional diffusion equation with a nonlocal term in spherical symmetry,
Pinning and mode-locking of reaction fronts by vortices,
Space-time fractional diffusion-advection equation with Caputo derivative,
On the departure process of the linear loss network,
Diffusion of oriented particles in porous media,
Emergence of fractal scale-free networks from stochastic evolution on the Cayley tree,
The spectral dimension of generic trees,
Wigner surmise for domain systems,
Subdiffusion in classical and quantum nonlinear Schrödinger equations with disorder,
A modified memory-based mathematical model describing fluid flow in porous media,
Memory driven pattern formation,
Relationship between a non-Markovian process and Fokker-Planck equation,
Non-classical regimes of colloid-facilitated impurity transport in statistically homogeneous double porosity media,
Does ultra-slow diffusion survive in a three dimensional cylindrical comb?,
Wave equation on one-dimensional fractals with spectral decimation and the complex dynamics of polynomials,
From first-passage times of random walks in confinement to geometry-controlled kinetics,
Modelling of fluid flow through porous media using memory approach: a review,
Heat kernel estimates for strongly recurrent random walk on random media,
Feedback-controlled diffusion: from self-trapping to true self-avoiding walks,
Return probability for random walks on scale-free complex trees,
Two-time scale subordination in physical processes with long-term memory,
A cellular automaton model for collective neural dynamics,
On the spectral dimension of causal triangulations,
Epidemic random network simulations in a distributed computing environment,
Transport between multiple users in complex networks,
Signaling problem for time-fractional diffusion-wave equation in a half-space in the case of angular symmetry,
Diffusion on the scaling limit of the critical percolation cluster in the diamond hierarchical lattice,
The random conductance model with heavy tails on nested fractal graphs,
Stabilization of fractional evolution systems with memory,
Analysis of diffusion and trapping efficiency for random walks on non-fractal scale-free trees,
A percolation system with extremely long range connections and node dilution,
Ordered and periodic chaos of the bounded one-dimensional multibarrier potential,
Maximum therapeutic effect of glioma treatment by radio-frequency electric field,
From stochastic processes to numerical methods: a new scheme for solving reaction subdiffusion fractional partial differential equations,
Multifractal detrended fluctuation analysis of nonstationary time series,
Nonlocal transport processes and the fractional Cattaneo-Vernotte equation,
Recurrence statistics for anomalous diffusion regime change detection,
Fokker-Planck equation on fractal curves,
Sisyphus random walks in the presence of moving traps,
Existence results for coupled nonlinear fractional differential equations of different orders with nonlocal coupled boundary conditions,
Survival probabilities in the Sisyphus random walk model with absorbing traps,
Distribution of backbone mass between non-parallel lines,
Large scale simulations of two-species annihilation, \(A+B\rightarrow 0\), with drift,
The approximate invariance of the average number of connections for the continuum percolation of squares at criticality,
Scaling of cluster mass between two lines in 3d percolation,
Existence of weak solutions to a \(p\)-Laplacian system on the Sierpiński gasket on \({\mathbb{R}}^2\),
Fractional Schrödinger equation for heterogeneous media and Lévy like distributions,
Random spreading phenomena in annealed small world networks,
Single random walker on disordered lattices,
Off-lattice anomalous diffusion in a thin sticks system