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

Exactly Solvable Balanced Tenable Urns with Random Entries via the Analytic Methodology

This paper develops an analytic theory for the study of some Polya urns with random rules. The idea is to extend the isomorphism theorem in Flajolet et al. (2006), which connects deterministic balanced urns to a differential system for the generating function. The methodology is based upon adaptation of operators and use of a weighted probability generating function. Systems of differential equations are developed, and when they can be solved, they lead to characterization of the exact distributions underlying the urn evolution. We give a few illustrative examples.Comment: 23rd International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods for the Analysis of Algorithms (AofA'12), Montreal : Canada (2012

Long time, large scale limit of the Wigner transform for a system of linear oscillators in one dimension

We consider the long time, large scale behavior of the Wigner transform W_\eps(t,x,k) of the wave function corresponding to a discrete wave equation on a 1-d integer lattice, with a weak multiplicative noise. This model has been introduced in Basile, Bernardin, and Olla to describe a system of interacting linear oscillators with a weak noise that conserves locally the kinetic energy and the momentum. The kinetic limit for the Wigner transform has been shown in Basile, Olla, and Spohn. In the present paper we prove that in the unpinned case there exists $\gamma_0>0$ such that for any $\gamma\in(0,\gamma_0]$ the weak limit of W_\eps(t/\eps^{3/2\gamma},x/\eps^{\gamma},k), as \eps\ll1, satisfies a one dimensional fractional heat equation $\partial_t W(t,x)=-\hat c(-\partial_x^2)^{3/4}W(t,x)$ with $\hat c>0$. In the pinned case an analogous result can be claimed for W_\eps(t/\eps^{2\gamma},x/\eps^{\gamma},k) but the limit satisfies then the usual heat equation

Towards a unified software attack model to assess software protections

Attackers can tamper with programs to break usage conditions. Different software protection techniques have been proposed to limit the possibility of tampering. Some of them just limit the possibility to understand the (binary) code, others react more actively when a change attempt is detected. However, the validation of the software protection techniques has been always conducted without taking into consideration a unified process adopted by attackers to tamper with programs. In this paper we present an extension of the mini-cycle of change, initially proposed to model the process of changing program for maintenance, to describe the process faced by an attacker to defeat software protections. This paper also shows how this new model should support a developer when considering what are the most appropriate protections to deplo

Understanding the Transition between High School and College Mathematics and Science

Mathematics and science education is gaining increasing recognition as key for the well-being of individuals and society. Accordingly, the transition from high school to college is particularly important to ensure that students are prepared for college mathematics and science. The goal of this study was to understand how high school mathematics and science course-taking related to performance in college. Specifically, the study employed a nonparametric regression method to examine the relationship between high school mathematics and science courses, and academic performance in college mathematics and science courses. The results provide some evidence pertaining to the positive benefits from high school course-taking. Namely, students who completed high school trigonometry and lab-based chemistry tended to earn higher grades in college algebra and general chemistry, respectively. However, there was also evidence that high school coursework in biology and physics did not improve course performance in general biology and college physics beyond standardized test scores. Interestingly, students who completed high school calculus earned better grades in general biology. The implications of the findings are discussed for high school curriculum and alignment in standards between high schools and colleges

Thermal conductivity in harmonic lattices with random collisions

We review recent rigorous mathematical results about the macroscopic behaviour of harmonic chains with the dynamics perturbed by a random exchange of velocities between nearest neighbor particles. The random exchange models the effects of nonlinearities of anharmonic chains and the resulting dynamics have similar macroscopic behaviour. In particular there is a superdiffusion of energy for unpinned acoustic chains. The corresponding evolution of the temperature profile is governed by a fractional heat equation. In non-acoustic chains we have normal diffusivity, even if momentum is conserved.Comment: Review paper, to appear in the Springer Lecture Notes in Physics volume "Thermal transport in low dimensions: from statistical physics to nanoscale heat transfer" (S. Lepri ed.