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We provide concentration inequalities for solutions to stochastic differential equations of pure not-necessarily Poissonian jumps. Our proofs are based on transportation cost inequalities for square integrable functionals of point processes with stochastic intensity and elements of stochastic… |
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The motion of a massive test particle inside a thermal (test) photon gas is studied near a
Schwarzschild black hole, leading to a novel description of the effect of radiation scattering
on the particle trajectory, responsible for half of the Poynting-Robertson effect: the azimuthal radiation… |
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We generalize a result of Dar{\'o}czy and K{\'a}tai,
on the characterization of univoque numbers with respect
to a non-integer base \cite{DarKat95}
by relaxing the digit alphabet to a generic set of real numbers.
We apply the result to derive the construction of a B\"uchi automaton
accepting all… |
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We consider an empirical Bayes approach to standard nonparametric regression estimation using a nonlinear wavelet methodology. Instead of specifying a single prior distribution on the parameter space of wavelet coefficients, which is usually the case in the existing literature, we elicit the… |
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In this paper we propose a classification of crowd models in built environments based on the assumed pedestrian ability to foresee the movements of other walkers. At the same time, we introduce a new family of macroscopic models, which make it possible to tune the degree of predictiveness of the… |
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Organisms often grow, migrate and compete in liquid environments, as well as on solid surfaces. However, relatively little is known about what happens when competing species are mixed and compressed by fluid turbulence. In these lectures we review our recent work on population dynamics and… |
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Unattended Wireless Sensor Networks (UWSNs), characterized by the intermittent presence of the sink, are exposed to attacks aiming at tampering with the sensors and the data they store. In order to prevent an adversary from erasing any sensed data before the sink collects them, it is common… |
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Understanding the conditions ensuring the persistence of a population is an issue of primary importance in population biology. The first theoretical approach to the problem dates back to the 1950s with the Kierstead, Slobodkin, and Skellam (KiSS) model, namely a continuous reaction-diffusion… |
