Asymptotic behavior in time periodic parabolic problems with unbounded coefficients

We study asymptotic behavior in a class of non-autonomous second order parabolic equations with time periodic unbounded coefficients in $\mathbb R\times \mathbb R^d$. Our results generalize and improve asymptotic behavior results for Markov semigroups having an invariant measure. We also study spectral properties of the realization of the parabolic operator $u\mapsto {\cal A}(t) u - u_t$ in suitable $L^p$ spaces

On Generating Binary Words Palindromically

We regard a finite word $u=u_1u_2\cdots u_n$ up to word isomorphism as an equivalence relation on $\{1,2,\ldots, n\}$ where $i$ is equivalent to $j$ if and only if $x_i=x_j.$ Some finite words (in particular all binary words) are generated by "{\it palindromic}" relations of the form $k\sim j+i-k$ for some choice of $1\leq i\leq j\leq n$ and $k\in \{i,i+1,\ldots,j\}.$ That is to say, some finite words $u$ are uniquely determined up to word isomorphism by the position and length of some of its palindromic factors. In this paper we study the function $\mu(u)$ defined as the least number of palindromic relations required to generate $u.$ We show that every aperiodic infinite word must contain a factor $u$ with $\mu(u)\geq 3,$ and that some infinite words $x$ have the property that $\mu(u)\leq 3$ for each factor $u$ of $x.$ We obtain a complete classification of such words on a binary alphabet (which includes the well known class of Sturmian words). In contrast for the Thue-Morse word, we show that the function $\mu$ is unbounded

Investigating Social Exclusion in Late Prehistoric Italy: Preliminary Results of the ‘‘IN or OUT’’ Project (PHASE 1)

This report presents the preliminary results of the ‘‘IN or OUT’’ Project, a collaborative, interdisciplinary effort which aims to investigate social exclusion, marginality and the adoption of anomalous funerary rites in late prehistoric Italy. In particular, this contribution explores the incidence and meaning of practices of ritual marginalisation and funerary deviancy in the region of Veneto between the Bronze Age and the early Iron Age period

Influence of the rootstock and potassium fertilizer on phytoalexin synthesis in Pinot blanc grown in a calcareous soil

Plants of cv. Pinot blanc, grafted on Vitis berlandieri x V. riparia Kober 5 BB, V. berlandieri x V. riparia SO 4, V. berlandieri x V. rupestris 1103 P, were grown in pots at two levels of potassium supply (0 g K2O/pot and 2 g K2O/pot) in order to test the phytoalexin synthesis in the leaves. The experimental plan included also the macronutrient, trace element and chlorophyll contents of the leaves. The most important findings are: a) Resveratrol synthesis decreases from Kober 5 BB to SO 4 and 1103 P, while leaf chlorophyll content increases. b) Resveratrol synthesis is higher in the plants without potassium supply

Eigenvalues and simplicity of interval exchange transformations

International audienceFor a class of d-interval exchange transformations, whichwe call the symmetric class,we deÞne a new self-dual induction process in which the system is successively induced on a union ofsub-intervals. This algorithm gives rise to an underlying graph structure which reßects the dynamicalbehavior of the system, through theRokhlin towers of the induced maps. We apply it to build a wide as-sortment of explicit examples on four intervals having different dynamical properties: these include theÞrst nontrivial examples with eigenvalues (rational or irrational), the Þrst ever example of an exchangeon more than three intervals satisfying VeechÕs simplicity (though this weakening of the notion of min-imal self-joinings was designed in 1982 to be satisÞed by interval exchange transformations), and anunexpected example which is non uniquely ergodic, weakly mixing for one invariant ergodic measurebut has rational eigenvalues for the other invariant ergodic measure

Sexual functioning and opioid maintenance treatment in women. Results from a large multicentre study

Opioid maintenance treatment (OMT) is the most widespread therapy for both females and males opioid addicts. While many studies have evaluated the OMT impact on men’s sexuality, the data collected about the change in women’s sexual functioning is still limited despite the fact that it is now well-known that opioids-both endogenous and exogenous-affect the endocrine system and play an important role in sexual functioning. The present study aims to determine how OMT with buprenorphine (BUP) or methadone (MTD) affects sexual health in women; examining also any possible emerging correlation between sexual dysfunction (SD), type of opioid and patients’ mental health. This multi-center study case recruited 258 female volunteers attending Italian public Addiction Outpatients Centers that were stabilized with OMT for at least 3 months. SD was assessed with the Arizona Sexual Experience Scale. The twelve-item General Health Questionnaire was used to assess participants’ mental health conditions. The results show that 56.6% of women receiving OMT for at least 3 months presented SD without significant differences between MTD e BUP groups. The majority of the subjects with SD have a poorer quality of intimate relationships and worse mental health than the average. To the best of our knowledge, the present study is the largest report on the presence of SDs in women as a side effects of MTD and BUP used in OMT. Since SDs cause difficulties in intimate relationships, lower patients’ quality of life and interfere with OMT beneficial outcomes, we recommend that women undertaking an opioid therapy have routine screening for SD and we highlight the importance to better examine opioid-endocrine interactions in future studies in order to provide alternative potential treatments such as the choice of opioid, opioid dose reduction and hormone supplementation