From a kinetic equation to a diffusion under an anomalous scaling

A linear Boltzmann equation is interpreted as the forward equation for the probability density of a Markov process (K(t), i(t), Y(t)), where (K(t), i(t)) is an autonomous reversible jump process, with waiting times between two jumps with finite expectation value but infinite variance, and Y(t) is an additive functional of K(t). We prove that under an anomalous rescaling Y converges in distribution to a two-dimensional Brownian motion. As a consequence, the appropriately rescaled solution of the Boltzmann equation converges to a diffusion equation

Recensioni e letture

Federica Casadei, Grazia Basile (a cura di), Lessico ed educazione linguistica (Gioacchino Amato) – Alessandro G. Benati, Key Questions in Language Teaching. An Introduction (Elisa Fiorenza) – Geert Booij (ed.), The Construction of Words: Advances in Costruction Morphology (Valentina Maniglia)

New psychoactive substances and evolving criminal dynamics against the backdrop of the fourth industrial revolution

: Invited commentary on Letter: Napoletano S, Basile G, Lo Faro AF, Negro F. New Psychoactive Substances and receding COVID-19 pandemic: really going back to "normal"?. Acta Biomed 2022; Vol. 93, N. 2: e2022186 DOI 10.23750/abm.v93i2.13008 https://www.mattioli1885journals.com/index.php/actabiomedica/article/view/13008

Mayakovsky’s Bedbug: Revolution, Time and Utopia

The article was submitted on 25.04.2017.In Russia, the very idea of a Communist revolution – from 1905 onwards – meant both hope and dread. This attitude is quite clearly shown in a very significant part of the Russian literary process, from 1908 to the beginning of the Stalin era. An obvious thread, in fact, connects Aleksandr Bogdanov (Red Star, 1908), Evgeny Zamyatin (We, 1921) and Vladimir Mayakovsky (The Bedbug, 1929): the growing awareness that the Communist revolution, as Lenin had conceived it, was little more than a model and that a model could not describe – much less forecast – a complex reality (a complex system) like a social and political one. As a result of this awareness, hope and a dark prophecy (Bogdanov) slowly turn into despair (Mayakovsky). The model is subsumed by Vladimir Mayakovsky’s dystopian satire of The Bedbug and The Bathhouse which propose a new paradigm of dystopia: a bottleneck in the flow of the information produced by blind adherence to a preconceived project that prevents the discovery and the implementation of la volonté générale in so complex a system as human society.Для периода господства революционных идей в России начала XX в. были характерны противоречивые настроения надежды и страха. Это ярко проявлялось и во многих произведениях русской литературы, начиная с 1908 г. и вплоть до сталинской эпохи. Такие представления были связующей нитью для творчества Александра Богданова (Красная Звезда, 1908), Евгения Замятина (Мы, 1921) и Владимира Маяковского (Клоп, 1929): по их изменениям можно проследить то, как в сознании людей росло убеждение, что коммунистическая революция – всего лишь абстрактная модель. А модель не может описать и, тем более, предсказать сложную реальность, включающую в себя социальную и политическую системы. Из осознания этого факта, по мнению автора, и происходит мрачное пророчество А. Богданова (соединенное с надеждой), которое затем перерастает в отчаяние у В. Маяковского. Эта модель представлена в сатире Маяковского – в «Клопе» и «Бане», в которых возникает новая парадигма антиутопии: информационная ограниченность, вызванная слепым следованием заранее заданному замыслу, препятствует открытию и внедрению volonté générale (всеобщей воли как результата ограничения людьми своих прав) в такой сложной системе как человеческое общество

Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential

We prove that QCD in the epsilon-regime of chiral Perturbation Theory is equivalent to chiral Random Matrix Theory for zero and both non-zero real and imaginary chemical potential mu. To this aim we prove a theorem that relates integrals over fermionic and bosonic variables to super-Hermitian or super-Unitary groups also called superbosonization. Our findings extend previous results for the equivalence of the partition functions, spectral densities and the quenched two-point densities. We can show that all k-point density correlation functions agree in both theories for an arbitrary number of quark flavors, for either mu=0 or mu=/=0 taking real or imaginary values. This implies the equivalence for all individual k-th eigenvalue distributions which are particularly useful to determine low energy constants from Lattice QCD with chiral fermions

Tableau récapitulatif des projets exposés

Tableau récapitulatif des projets exposés N°  Style selon E. Basile Devise/Motto Auteur selon E. Basile Auteur ou style selon d'autres sources 1 Égyptien Vio Anacleto, Venezia Anacleto Vio (Venezia) [L’Imparziale] 2 Égyptien, Moscovite, Tartare P. Vincent, Paris Vincent (Paris) [Léon Vincent] [L’Imparziale] 3 Arabescol arrabiato = Arabe Maamar Maamar [L’Imparziale] 4 Égyptien G. O. Fotter (Paris) G. O. Fotter (Paris) [Robert Burnside Potter] 5 Non indiqué par E. B. Ashbee (London) Charles Ro..

Measuring intimate partner violence victimization and perpetration: a compendium of assessment tools

Introduction -- A. Physical victimization scales -- B. Sexual victimization scales -- C. Psychological/emotional victimization scales -- D. Stalking victimization scales -- E. Physical perpetration scales -- F. Sexual perpetration scales -- G. Psychological/emotional perpetration scales -- H. Stalking perpetration scales -- Glossary -- References.compiled and edited by Mattie P. Thompsn, Kathleen C. Basile, Marci F. Hertz, Dylan Sitterle.A publication of the National Center for Injury Prevention and Control of the Centers for Disease Control and Prevention.Also available via the World Wide Web.Includes bibliographical references (p. 152-155).Thompson MP, Basile KC, Hertz MF, Sitterle D. Measuring Intimate Partner Violence Victimization and Perpetration: A Compendium of Assessment Tools. Atlanta (GA): Centers for Disease Control and Prevention, National Center for Injury Prevention and Control, 200

Asymptotics of the solutions of the stochastic lattice wave equation

We consider the long time limit theorems for the solutions of a discrete wave equation with a weak stochastic forcing. The multiplicative noise conserves the energy and the momentum. We obtain a time-inhomogeneous Ornstein-Uhlenbeck equation for the limit wave function that holds both for square integrable and statistically homogeneous initial data. The limit is understood in the point-wise sense in the former case, and in the weak sense in the latter. On the other hand, the weak limit for square integrable initial data is deterministic