435 research outputs found
Averaging and large deviation principles for fully--coupled piecewise deterministic Markov processes and applications to molecular motors
Averaging and large deviation principles for fully-coupled pieceweise deterministic Markov processes and applications to molecular motors
We consider Piecewise Deterministic Markov Processes (PDMPs) with a
finite set of discrete states. In the regime of fast jumps between discrete states, we prove
a law of large number and a large deviation principle. In the regime of fast and slow
jumps, we analyze a coarse–grained process associated to the original one and prove its
convergence to a new PDMP with effective force fields and jump rates. In all the above
cases, the continuous variables evolve slowly according to ODEs. Finally, we discuss some
applications related to the mechanochemical cycle of macromolecules, including strained–
dependent power–stroke molecular motors. Our analysis covers the case of fully–coupled
slow and fast motions
Non-equilibrium Thermodynamics of Piecewise Deterministic Markov Processes
We consider a class of stochastic dynamical systems, called piecewise deterministic
Markov processes, with states (x, σ) ∈ × , being a region in Rd or the
d-dimensional torus, being a finite set. The continuous variable x follows a piecewise
deterministic dynamics, the discrete variable σ evolves by a stochastic jump dynamics
and the two resulting evolutions are fully-coupled. We study stationarity, reversibility
and time-reversal symmetries of the process. Increasing the frequency of the σ-jumps,
the system behaves asymptotically as deterministic and we investigate the structure of its
fluctuations (i.e. deviations from the asymptotic behavior), recovering in a non Markovian
frame results obtained by Bertini et al. (Phys. Rev. Lett. 87(4):040601, 2001; J. Stat.
Phys. 107(3–4):635–675, 2002; J. Stat. Mech. P07014, 2007; Preprint available online at
http://www.arxiv.org/abs/0807.4457, 2008), in the context of Markovian stochastic interacting
particle systems. Finally, we discuss a Gallavotti–Cohen-type symmetry relation with
involution map different from time-reversal
Non-equilibrium Thermodynamics of Piecewise Deterministic Markov Processes
We consider a class of stochastic dynamical systems, called piecewise deterministic Markov processes, with states (x, sigma) is an element of Omega x Gamma, Omega being a region in R(d) or the d-dimensional torus, Gamma being a finite set. The continuous variable x follows a piecewise deterministic dynamics, the discrete variable sigma evolves by a stochastic jump dynamics and the two resulting evolutions are fully-coupled. We study stationarity, reversibility and time-reversal symmetries of the process. Increasing the frequency of the sigma-jumps, the system behaves asymptotically as deterministic and we investigate the structure of its fluctuations (i.e. deviations from the asymptotic behavior), recovering in a non Markovian frame results obtained by Bertini et al. (Phys. Rev. Lett. 87(4): 040601, 2001; J. Stat. Phys. 107(3-4): 635-675, 2002; J. Stat. Mech. P07014, 2007; Preprint available online at http://www.arxiv.org/abs/0807.4457, 2008), in the context of Markovian stochastic interacting particle systems. Finally, we discuss a Gallavotti-Cohen-type symmetry relation with involution map different from time-reversal
La "selce dei Crivellari": appunti sulla silice (calcedonio, selce e quarzo) nella Vena del Gesso romagnola
L’articolo prende spunto dalla caratteristica selce affiorante a nord est di M. Tondo (presso il borghetto dei Crivellari) per fare il punto delle conoscenzesulle manifestazioni silicee nella Vena del Gesso romagnola, evidenziandone sia la distribuzione disomogenea che la complessità mineralogica. I principali litotipi descritti sono: calcedonio grigio (“selce dei Crivellari”), selce in calcare, selce laminata, quarzo dendritico e legno silicizzato.
Si ritiene che l’ipotesi geochimica esposta da FORTI (1994) per spiegare la genesi a bassa temperatura del quarzo dendritico nella Grotta “Azzali” (Gessi di M. Mauro) fornisca un’utile chiave interpretativa anche per le altre manifestazioni silicee rilevate. Si suggerisce inoltre che la localizzazione della silice, riscontrata esclusivamente nella porzione centro-orientale della Vena del Gesso, sia probabilmente legata al particolare assetto geometrico/strutturale che la dorsale manifesta in tale settore.
Abstract
This article illustrates the characteristic chert outcropping northeast of Mt. Tondo (near the Crivellari hamlet) and discusses the various siliceous rocks formed within the gypsum evaporites of the “Vena del Gesso”(Romagna, Northern Apennines, Italy) highlighting their occurrence and mineralogical complexity. The main rock types described are: grey chalcedony (“Crivellari chert”), chert in limestone, laminated chert, dendritic quartz and silicified wood.
We suggests that the geochemical hypothesis proposed by FORTI (1994) to explain the origin of the low-temperature dendritic quartz of the “Azzali Cave” (near M. Mauro) provides a useful interpretative key also forthe other siliceous lithotype. We also suggest that exclusive occurrence of the silica in the central-eastern portion of the studied area the , is probably related to the particular geometrical/structural arrangement of the Vena del Gesso ridge
Un caso de reescritura giraldiana en el primer Lope : "La infanta desesperada", entre adaptación y autobiografismo
El punto de partida del presente artículo es la obra Gli Ecatommiti, publicada por primera vez en 1565 por el escritor italiano Giovan Battista Giraldi Cinzio, y que Luis Gaitán de Vozmediano tradujo al español en 1590. Después de comentar unas anotaciones manuscritas que se encuentran en uno de los escasos ejemplares conservados de la primera y única traducción española del texto, nuestro trabajo se centra en el análisis comparado de una pieza temprana de Lope, La infanta desesperada, con su fuente, la décima novella de la segunda deca del texto de Giraldi, para ahondar en las relaciones intertextuales entre las dos obras. A esto se añaden unas notas a propósito de la autorrepresentación del Fénix en esta y otras comedias escritas entre 1588 y 1595.The starting point of this article is the work Gli Ecatommiti, which the Italian author Giovan Battista Giraldi Cinzio published in 1565, and which Luis Gaitán de Vozmediano translated into Spanish in 1590. After examining several handwritten annotations contained in one of the few extant copies of the first and only Spanish translation of the text, the article focuses on an early play by Lope, La infanta desesperada, comparing it with its source, the tenth novella from the second deca of Giraldi's Gli Ecatommiti, in order to explore the intertextuality between both texts. Furthermore, the article includes reflections on Lope's self-fashioning in this and other plays written between 1588 and 1595
Autor vs. Poeta, o de lo que los espectadores del Siglo de Oro no vieron ni escucharon: Amor con vist
Cet article est consacré à une pièce peu connue et peu étudiée de Lope de Vega, Amor con vista. Dans un premier temps, nous examinerons le manuscrit autographe en tant qu’espace où le dramaturge a laissé des traces du processus de composition de la pièce, en observant les changements que Lope lui-même a introduits au cours de sa rédaction. Ensuite, nous étudierons les interventions issues d’autres mains que celle de Lope, interventions que l’on peut attribuer à l’autor de comedias ou à un autre membre de sa compagnie théâtrale ; il sera donc question de ce que les spectateurs ne virent pas ou n’écoutèrent pas du projet originel du dramaturge. À partir de ces observations, nous nous attacherons enfin à commenter certains aspects de la métrique de cette pièce, en relation avec sa structure d’ensemble, en soulignant quelques éléments qui ont trait à la mise en scène et particulièrement à son versant auditif.In this article I will focus my attention on a little known play by Lope de Vega, Amor con vista. First of all, I will analyze the autograph manuscript to observe the changes made by the playwright during the composition of his play, which reveal a great deal about the usus scribendi of the author. Secondly, I will examine those changes made by the autor de comedias or another member of the company, considering therefore what the audience did not see or hear, despite being part of the original project of the playwright. In close connection with the results of these observations, I will finally propose some considerations about the metrics of the play and its relation with the structural framework, highlighting some aspects specifically related to the staging and the auditory element.En el presente trabajo centraremos nuestra atención en una pieza poco conocida y estudiada de Lope de Vega, Amor con vista. En primer lugar, examinaremos el manuscrito autógrafo como el espacio en que el dramaturgo dejó rastros del proceso de composición de la pieza, observando los cambios aportados por Lope a lo largo de la escritura de la obra. En segundo lugar, nos detendremos en las intervenciones ajenas a la pluma del Fénix y atribuibles al autor de comedias o a algún otro componente de la compañía; se considerará, por tanto, lo que los espectadores no vieron ni escucharon, a pesar de formar parte del proyecto original del comediógrafo. En estrecha conexión con los resultados de estas observaciones, centraremos finalmente nuestra atención en algunos aspectos ligados a la métrica de la pieza y a su relación con el armazón estructural de la obra, subrayando unos elementos que tienen que ver concretamente con el momento de la escenificación y con la vertiente auditiva
Dal manoscritto alla scena: "El piadoso aragonés" di Lope de Vega
Some of Lope de Vega’s comedies, those witnessed by an autograph manuscript, are
of undeniable interest, as they provide the opportunity to observe closely the author’s
work of composition which resulted in the text to be sold to the company for the representation.
The present article focuses on the specific case of El piadoso aragonés, dated
August 17, 1626, whose manuscript is preserved at the National Library of Madrid.
On the one hand, the study of the autograph allows to observe the changes made in
itinere by the author during the final draft of the text, analyzing the processes through
which the playwright shaped the textual material in order to reach the final version
of the play. These changes reveal some of the compositional techniques of Lope: the
autograph bears traces of the genesis of the text and constitute a significant proof
of the author’s work on his play. Moreover, the manuscript – which was used for at
least three different representations during the seventeenth century by the company
of Antonio de Prado – presents some textual signs (mainly omissions, but also additions
and corrections) that permit to determine which version of the comedy was the
one represented in that period. Starting from a thorough analysis of the autograph,
the article examines the life of the text through the various adjustments made for the
mise en scène during the Siglo de Oro, establishing the methods and the reasons for the
changes in the version of the play attributed to the autor de comedia, the actor-manager
Circuit Based Quantification: Back to State Set Manipulation within Unbounded Model Checking
In this paper a non-canonical circuit-based state set representation is used to efficiently perform quantifier elimination. The novelty of this approach lies in adapting equivalence checking and logic synthesis techniques, to the goal of compacting circuit based state set representations resulting from existential quantification. The method can be efficiently combined with other verification approaches such as inductive and SAT-based pre-image verifications
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