We formulate a simple additivity principle allowing one to calculate the whole distribution of current fluctuations through a large one dimensional system in contact with two reservoirs at unequal densities from the knowledge of its first two cumulants. This distribution (which in general is non-Gaussian) satisfies the Gallavotti-Cohen symmetry and generalizes the one predicted recently for the...

Additivity of the Holevo capacity is proved for product channels, under the condition that one of the channels is in a certain class of unital qubit channels, with the other completely arbitrary. This qubit class includes the depolarizing channel. As a byproduct this proves that the Holevo bound is the ultimate information capacity of such qubit channels (assuming no prior entanglement between ...

This paper presents a new axiomatic characterization of risk measures that are additive for independent random variables. In contrast to previous work, we include an axiom that guarantees monotonicity of the risk measure. Furthermore, the axiom of additivity for independent random variables is related to an axiom of additivity for comonotonic random variables. The risk measure characterized can...

Abstract Our aim here is to present a result that connects some approaches justifying countable additivity. This allows us better understand the force of recent argument for additivity due Easwaran. We have two main points. First, Easwaran’s in favour should little persuasive on those permissive probabilists who already made their peace with violations conglomerability. As our shows, premiss – ...

Let J (M) denote the σ-ideal associated with two-dimensional Miller forcing. We show that it is relatively consistent with ZFC that the additivity of J (M) is bigger than the covering number of the ideal of the meager subsets of ω. We also show that Martin’s Axiom implies that the additivity of J (M) is 2. Finally we prove that there are no analytic infinite maximal antichains in any finite pro...

We introduce photon theory following the same principles as for introduction of the quantum theory of a single particle, using a C∗-algebraic approach based on covariance systems. The basic symmetries are additivity of the fields and additivity of test functions. We write down in explicit form a state of this covariance system. It turns out to reproduce the traditional Fock representation of th...

By discussing a novel paradigm, it is shown that the likeliness of an operator to trigger an intervention effect in a wh-in-situ question is determined by the logical properties of that operator (contra Beck 1996a, 2006, for instance). A new empirical generalization accounting for the differences between operators in their ability to cause intervention and improving on existing analyses is sugg...

Let J be a norm-continuous functional on the space B of bounded E-measurable real valued functions on a set S, where S is an algebra of subsets of S. Define a set function v on £ by : v(E) equals the value of I at the indicator function of E. For each a in B let /0 coo (v(a > a) v(S)) da+ v(a > a) da. -oo Jo Then / = J on B if and only if I(b + c) = 1(b) + 1(c) whenever (b(s) b(t))(c(s) c(t)) >...