Burgers velocity fields and dynamical transport processes

We explore a connection of the forced Burgers equation with the Schr\"{o}dinger (diffusive) interpolating dynamics in the presence of deterministic external forces. This entails an exploration of the consistency conditions that allow to interpret dispersion of passive contaminants in the Burgers flow as a Markovian diffusion process. In general, the usage of a continuity equation $\partial_t\rho =-\nabla (\vec{v}\rho)$, where $\vec{v}=\vec{v}(\vec{x},t)$ stands for the Burgers field and $\rho$ is the density of transported matter, is at variance with the explicit diffusion scenario. Under these circumstances, we give a complete characterisation of the diffusive matter transport that is governed by Burgers velocity fields. The result extends both to the approximate description of the transport driven by an incompressible fluid and to motions in an infinitely compressible medium.Comment: Latex fil

Co-offending and the Persistence of Violence: A Dynamic Analysis

Objectives: Previous research underscores the influence of prior violent co-offending on subsequent violent behavior, linking it to a social contagion mechanism akin to the internalization of violence. However, these studies are limited by disregarding the entirety of a criminal career and overlooking diverse co-offending dynamics beyond co-offenders’ characteristics. This study examines the longitudinal impact of prior violent (solo and co-) offending on future individual-level violent behavior among Italian organized crime offenders. Methods: Leveraging criminal career data from 9819 Italian organized crime offenders, we model offending choices through a discrete-time Markov process. Subsequently, employing dynamic random-effects probit models, we quantify the influence of prior violent (solo and co-) offending on future violence, considering various confounders and unobserved individual-level effects. Results: Violence is a persistent and long-lasting behavior among organized crime offenders. Prior violent co-offending has a greater impact than prior violent solo offending on the probability of future violence. Prior violent co-offending increases the probability of future violent co-offending but does not impact the probability of future violent solo offending. Conclusions: The results show that co-offending promotes the transmission of violence but fail to support the internalization of violent behavior postulated by prior studies. We propose possible alternative mechanisms of violence transmission that operate through self-sustaining dynamics of violent co-offending within criminal groups. Although limited data on individual characteristics constrains interpretation, our results imply that violence transmission dynamics are independent from the individual characteristics of the co-offenders and more directly connected to group effects

When and where we are: Comparing early criminal careers of organized crime offenders in Italy and the Netherlands across decades

Purpose: This study examines the early criminal careers of organized crime offenders in Italy and the Netherlands and assess how these behaviors have evolved across generations. We (1) compare the early careers with the entire career in the two country samples and (2) assess the influence of generational shifts and social changes on these behaviors, particularly focusing on crime control policies. Methods: Analyzing data on male offenders born between 1950 and 1986, we analyze criminal careers up to ages 23 and 30. Our analysis includes statistical assessments of differences between countries and among decades, employing multinomial logistic regressions to explore the associations between criminal career parameters and crime categories and the offenders' decade of birth. Results: Significant differences were found between the Italian and Dutch samples, reflecting country-specific dynamics in organized crime involvement. Evidence suggests minimal generational shifts towards more serious offending, but notable impacts of social changes, especially in anti-drug and anti-organized crime policies, across individuals born in different decades. Conclusions: Both the societal context ('where we are') and temporal influences ('when we are') are essential in understanding criminal careers. Changes in policies and social conditions differentially affected organized crime offenders in Italy and the Netherlands

A qualitative reading of the ecological (dis)organisation of criminal associations. The case of the ?Famiglia Basilischi? in Italy

This paper combines the theoretical foundations of organisational ecology - one of the most important approaches in economic sociology - with classic criminological theories to interpret the birth, evolution and death of criminal associations. This mixed approach will support the interpretation of organised crime groups as phenomena strictly linked to the environment as well as to other competitors in criminal markets. This paper analyses the birth, evolution and death of a criminal association in Basilicata, Southern Italy, known as the ?Famiglia Basilischi?. The case is exemplary of how ecological conditions affect the success or failure of a newly formed criminal association. These conditions can therefore be indicators to interpret organised criminal activities in similar environments

George Frankl: an undervalued voice in the history of autism

This paper aims to propose that the psychiatrist George Frankl had more than a marginal role in the early history of autism. Frankl’s conception of autism as characterized by a lack of affective language has influenced both Asperger and Kanner. First, this proposal is historically supported; second it is corroborated by Frankl’s unpublished manuscript on Autism. We found that Frankl’s perspective about autism was, and still can be, considered innovative for multiple reasons. Specifically, Frankl proposed that autism could cover a spectrum of conditions; that it is a state of mind that is not necessarily abnormal; and that it is a neurobiological condition, which primarily needs to be understood by others. Finally, Frankl’s concepts of affective contact and affective language are reconsidered with reference to contemporary neuropsychology from which autism emerges not as a higher-order cognitive deficit, but as a result of an impairment of primordial ability to process low level sensory, motor and perceptual information gained through experiencing other persons

Molecular excitation in the Interstellar Medium: recent advances in collisional, radiative and chemical processes

We review the different excitation processes in the interstellar mediumComment: Accepted in Chem. Re

Invariant universality for quandles and fields

We show that the embeddability relations for countable quandles and for countable fields of any given characteristic other than 2 are maximally complex in a strong sense: they are invariantly universal. This notion from the theory of Borel reducibility states that any analytic quasi-order on a standard Borel space essentially appears as the restriction of the embeddability relation to an isomorphism-invariant Borel set. As an intermediate step we show that the embeddability relation of countable quandles is a complete analytic quasi-order

Burgers' Flows as Markovian Diffusion Processes

We analyze the unforced and deterministically forced Burgers equation in the framework of the (diffusive) interpolating dynamics that solves the so-called Schr\"{o}dinger boundary data problem for the random matter transport. This entails an exploration of the consistency conditions that allow to interpret dispersion of passive contaminants in the Burgers flow as a Markovian diffusion process. In general, the usage of a continuity equation $\partial_t\rho =-\nabla (\vec{v}\rho)$, where $\vec{v}=\vec{v}(\vec{x},t)$ stands for the Burgers field and $\rho$ is the density of transported matter, is at variance with the explicit diffusion scenario. Under these circumstances, we give a complete characterisation of the diffusive transport that is governed by Burgers velocity fields. The result extends both to the approximate description of the transport driven by an incompressible fluid and to motions in an infinitely compressible medium. Also, in conjunction with the Born statistical postulate in quantum theory, it pertains to the probabilistic (diffusive) counterpart of the Schr\"{o}dinger picture quantum dynamics.Comment: Latex fil

Comparing the criminal careers of organized crime offenders in Italy and the Netherlands

The concept of organized crime has dynamically evolved, with researchers contending that it is a social construct or an umbrella concept encompassing different empirical manifestations. Scholars have often suggested classifying organized crime groups into those involved in “racketeering” or “governing” and those engaged in “transit crime” or “trading.” However, these propositions were never assessed at the level of individual criminal careers. We address two primary objectives: first, we test differences in the criminal careers of organized crime offenders between organized crime contexts that are historically different—comparing Italy, which is primarily known for racketeering organized crime, to the Netherlands, which is characterized more by transit crime. Second, we explore differences between criminal careers of organized crime offenders born in different decades; doing so allows us to measure differences in offending patterns in shifting organized crime contexts due to broader social changes while considering more country-specific changes in law enforcement and organized crime policies. The study relies on the criminal careers of 4480 organized crime offenders in Italy (n = 3360) and the Netherlands (n = 1120). We analyze the distributions of criminal career parameters, crime categories, age-crime curves, and offending trajectories. Offenders in Italy exhibit higher offending, earlier violence, earlier onset, and decline; offenders in the Netherlands display later onset, slower decline, and a greater involvement in drug and property offenses. Also, both samples show generalist offending patterns, long-lasting careers, and involvement in organized crime in adulthood. We also find substantial variation across decades of birth, with younger offenders in both countries reporting higher frequencies. We attribute this to the interplay of increased offending among younger individuals, the implicit selection bias in the sampling, and greater law enforcement pressure due to stricter anti-organized crime policies since the 1980s and 1990s