On continuity properties for option prices in exponential L\'evy models

For a converging sequence of exponential L\'evy models, we give conditions under which the associated sequence of option prices converges. We also study the behaviour of the prices when no such convergence holds. We then consider two special cases, first when the martingale measure is chosen by minimisation of entropy and then when it minimises Hellinger integrals.Comment: 24 pages, no figure

Phrasal and Clausal Exceptive-Additive Constructions Crosslinguistically

This work focuses on the syntax and semantics of exceptive and exceptive-additive constructions across different languages. Exceptive-additive constructions are constructions that can be interpreted as ‘except for’ and ‘in addition to’ depending on the context they are used in. The meaning an exceptive-additive construction gets depends on the other functional elements in a sentence. Those constructions get the exceptive meaning when they are put together with universal quantifiers and they get the additive meaning with existentials, wh-words and focus associates. In each context only one of the meanings is available. This work is the first systematic study of the syntactic and semantic properties of such constructions across serval languages: English, Russian, Turkish, Hindi, Persian, Bulgarian. This works offers a formal theory that explains how exceptive-additive constructions can mean two different things and why are the two readings distributed the way they are. According to this proposal, the meaning of an exceptive-additive construction is contributed by two operators that can take scope with respect to each other. Their scope determines the resulting meaning. In every case both the additive and the exceptive meaning are generated. However, an attempt to generate the additive meaning with a universal quantifier or the exceptive meaning with a wh-question results in a meaning that is ill-formed and for that reason is not available. This work also adds novel observations supporting the claim that the syntactic structure the standard semantic theory of exceptives assumes is incorrect for some exceptive constructions. In many languages what follows the word except is a reduced clause and not a DP. This work proposes the first compositional semantic treatment of clausal exceptives. According to this proposal a clausal exceptive contributes quantification over possible situations and provides the restriction for this quantification. The proposed account captures the known inferences exceptives contribute and the restrictions on their use. This work also describes clausal exceptive-additive constructions in Persian and Bulgarian and extends the account of the exceptive-additive ambiguity to clausal cases. Key words: exceptive constructions, clausal exceptives, phrasal exceptives, exceptive-additive ambiguit

On regularity properties of Bessel flow

We study the differentiability of Bessel flow $\rho : x \to \rho ^x_t$, where $(\rho ^x_t)_{t\geq 0}$ is BES $^x(\delta$) process of dimension $\delta >1$ starting from $x$. For $\delta \geq 2$ we prove the existence of bicontinuous derivatives in P-a.s. sense at $x\geq 0$ and we study the asymptotic behaviour of the derivatives at $x=0$. For $1< \delta <2$ we prove the existence of a modification of Bessel flow having derivatives in probability sense at $x\geq 0$. We study the asymptotic behaviour of the derivatives at $t=\tau_0(x)$ where $\tau_0(x)$ is the first zero of $(\rho ^x_t)_{t\geq 0}$.Comment: 21 pages, no figure

Compositional analysis for clausal exceptives

In this paper I argue that English exceptive constructions introduced by 'except' that appear to have a phrasal structure can be underliyingly clausal. I offer a compositional analysis for such exceptive constructions. I propose that an except- clause introduces quantification over possible situations and serves as a restrictor of this quantification. I show how this analysis derives the inferences exceptives come with and the known restrictions on their use

Neutral low-dimensional assemblies of a Mn(III) schiff base complex and octacyanotungstate(V) : synthesis, characterization, and magnetic properties

International audienceTwo novel low-dimensional molecular magnetic materials were prepared by the self-assembly of 3d- and 5d-metal complexes. These are the first neutral heterobimetallic cyanobridged compounds involving one anisotropic Mn(III) Schiff base complex and one octacyanotungstate(V) per molecular unit. A slow diffusion of the constituents’ solutions leads to the formation of the 0D crystalline complex 1, due to coordination of a water molecule to the Mn center, which prevents polymer formation. A rapid mixing of reagents results in the precipitation of the microcrystalline powder of complex 2, which based on the totality of experimental data, possesses a 1D polymeric structure. The magnetic studies have shown that antiferromagnetic exchange interactions prevail in 1 (J/kB = −13.1(7) K, D = −3.0(1.3) K, zJ' = −0.16(20) K and gav = 2.00(1)); while the presence of the significant intramolecular Mn(III)–W(V) ferromagnetic coupling through cyanide bridge is characteristic for 2 (J/kB = 46.1(5) K, gMn = 2.11(3), fixed gW = 2.0). Due to the weak interchain interactions, zJ′/kB = −0.8(2) K, and compound 2 is a metamagnet with the Néel temperature of 9.5 K undergoing a spin-flip transition at 2 kOe. The slow magnetization dynamics of 2 were investigated at a DC field of 0 and 2 kOe, giving the values of τ0 32(15) and 36(15) ps, respectively, well within the range typical for single-chain magnets (SCMs). The respective ∆τ/kB values were 48.4(1.2) and 44.9(1.0) K