Statistical mechanics constitutes one of the pillars of contemporary physics. Recognized as
such-together with mechanics (classical, quantum, relativistic), electromagnetism and …

There is now compelling evidence that many organisms have movement patterns that can
be described as Lévy walks, or Lévy flights. Lévy movement patterns have been identified in …

Metaphors, generalizations and unifications are natural and desirable ingredients of the
evolution of scientific theories and concepts. Physics, in particular, obviously walks along …

Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book
discusses fundamental properties of transient and stationary solutions, emphasizing the …

The generalized diffusion equations with fractional order derivatives have shown be quite
efficient to describe the diffusion in complex systems, with the advantage of producing exact …

The standard central limit theorem plays a fundamental role in Boltzmann-Gibbs statistical
mechanics. This important physical theory has been generalized 1 in 1988 by using the …

We present a deformed algebra related to the q-exponential and the q-logarithm functions
that emerge from nonextensive statistical mechanics. We also develop a q-derivative (and …

Investigation of energy mechanisms at the collective cell scale is a challenge for
understanding various biological processes, such as embryonic development and tumor …

Cell movement—for example, during embryogenesis or tumor metastasis—is a complex
dynamical process resulting from an intricate interplay of multiple components of the cellular …

Experimental time series for trajectories of motile cells may contain so much information that
a systematic analysis will yield cell-type-specific motility models. Here we demonstrate how …