2.1 Stability of fluid surfaces and interfaces in the vibration fields: pp. 3 4 2.2 Grain-boundary grooving by surface diffusion and electromigration: pp. 4 5 2.3 Selective Area Epitaxy (SAE) and Electroepitaxy (SAEE): pp. 5 6 2.4 Directed self-assembly in the nonuniform temperature fields: p. 7 2.5 Dynamics and morphologies of a dewetting ultrathin solid films: p. 8 2.6 Stability of deposited ...

The motion of an artificial microscale swimmer that uses a chemical reaction catalyzed on its own surface to achieve autonomous propulsion is fully characterized experimentally. It is shown that at short times it has a substantial component of directed motion, with a velocity that depends on the concentration of fuel molecules. At longer times, the motion reverts to a random walk with a substan...

Directed transport of proteins and other molecules in a crowded living cell is often carried out by diffusion at short distances motor-driven cargo over long distances. Here we demonstrate, both experiments theory, that anchored inside the can generate spatially varying temporally stable potential (free-energy) landscape for intracellular or membrane mesoscale. By using micropatterned substrate...

− In this paper we present some algorithms for devices with limited energy resources that are forming ad hoc wireless sensor network. Proposed ChallengeAnswer MiniProtocol (CAMP) is a clustering and gradientbased protocol with all-to-sink and sink-to-all transmission style, derived from directed diffusion idea. It deals with challenges such as variable quantity of working nodes which are consti...

Previous work on inference for dynamic mixture models has so far been directed to models that follow a simple Brownian motion diffusion over time and pursued a batch inference approach. We generalize the underlying dynamics model to follow a Gaussian process, introducing a novel class of dynamic priors for mixture models. Further, we propose a stochastic variational inference scheme and compare...

In this paper we study Hilbert space embeddings of dynamical systems and embeddings generated via dynamical systems. This is achieved by following the behavioural framework invented by Willems, namely by comparing trajectories of states. As important special cases we recover the diffusion kernels of Kondor and Lafferty, generalised versions of directed graph kernels of Gärtner, novel kernels on...

We investigate the directed random walk on hierarchic trees. Two cases are investigated: random variables on deterministic trees with a continuous branching, and random variables on the trees constructed through the random branching process. We derive renormalization group (partial differential) equations for the branching models with binomial, Poisson, and compound Poisson distributions of ran...

We generalize nonperturbative renormalization group methods to nonequilibrium critical phenomena. Within this formalism, reaction-diffusion processes are described by a scale-dependent effective action, the flow of which is derived. We investigate branching and annihilating random walks with an odd number of offspring. Along with recovering their universal physics (described by the directed per...

We characterize the reachability probabilities in stochastic directed graphs by means of reinforcement learning methods. In particular, we show that dynamics transition a digraph can be modeled via difference inclusion, which, turn, interpreted as Markov decision process. Using latter framework, offer methodology to design reward functions provide upper and lower bounds on set nodes for digraph...