Let X and ^ X be right Markov processes in weak duality with respect to a-nite measure m. Let

Some of the more heated debates in the cognitive sciences revolve around the nature of human language. Is there innate linguistic knowledge? Does language require the ability to learn and use symbolic rules, or can it be explained solely through associative capacities? And how autonomous is language — is the ability to learn to speak the result of more general social, cognitive and perceptual a...

In this paper we trace the evolution of a project using a wiki-based learning environment in a tertiary education setting. The project has the pedagogical goal of building learners’ capacities to work effectively in the networked, collaborative, creative environments of the knowledge economy. The paper explores the four key characteristics of a ‘produsage’ environment and identifies four strate...

Anew integral for capacities is introduced and characterized. It differs from the Choquet integral on non-convex capacities. The main feature of the new integral is concavity, whichmight be interpreted as uncertainty aversion. The integral is extended to fuzzy capacities, which assign subjective expected values to random variables (e.g., portfolios) and may assign subjective probability only to...

Algorithmic mechanism design considers distributed settings where the participants, termed agents, cannot be assumed to follow the protocol but rather their own interests. The protocol can be regarded as an algorithm augmented with a suitable payment rule and the desired condition is termed truthfulness, meaning that it is never convenient for an agent to report false information. Motivated by ...

We investigate the capacity of bosonic quantum channels for the transmission of quantum information. We calculate the quantum capacity for a class of Gaussian channels, including channels describing optical fibers with photon losses, by proving that Gaussian encodings are optimal. For arbitrary channels we show that achievable rates can be determined from few measurable parameters by proving th...

We give an upper bound for the posterior probability of a measurable set A when the prior lies in a class of probability measures 9. The bound is a rational function of two Choquet integrals. If g; is weakly compact and is closed with respect to majorization, then the bound is sharp if and only if the upper prior probability is 2-alternating. The result is used to compute-bounds for several set...

Quantum amplifier channels are at the core of several physical processes in nature. Not only do they model the optical process of spontaneous parametric down-conversion, but the Bogoliubov transformation corresponding to an amplifier channel also describes the physics of the dynamical Casimir effect in superconducting circuits, the Unruh effect, and Hawking radiation. Here we study the communic...