Fractional dynamics has experienced a firm upswing during the past few years, having been
forged into a mature framework in the theory of stochastic processes. A large number of …

The hypothesis that the optimal search strategy is a Lévy walk (LW) or Lévy flight, originally
suggested in 1995, has generated an explosion of interest and controversy. Long-standing …

The fractional Laplacian operator−(− Δ) α∕ 2 appears in a wide class of physical systems,
including Lévy flights and stochastic interfaces. In this paper, we provide a discretized …

Lévy flights and Lévy walks serve as two paradigms of random walks resembling common
features but also bearing fundamental differences. One of the main dissimilarities is the …

We present the analysis of the first passage time problem on a finite interval for the
generalized Wiener process that is driven by Lévy stable noises. The complexity of the first …

The foundations of the fractional diffusion equation are investigated based on coupled and
decoupled continuous time random walks (CTRW). For this aim we find an exact solution of …

We study the role of dynamical constraints in the general problem of finding the best
statistical strategy for random searching when the targets can be detected only in the limited …

Validation is often defined as the process of determining the degree to which a model is an
accurate representation of the real world from the perspective of its intended uses …

Comment on “Inverse Square Lévy Walks are not Optimal Search Strategies for d≥2” Page 1
Comment on “Inverse Square Lévy Walks are not Optimal Search Strategies for d ≥ 2" It is …

It has been observed in many numerical simulations, experiments and from various
theoretical treatments that heat transport in one-dimensional systems of interacting particles …