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Mathematical Modeling in Cultural Heritage
This book collects contributions presented at the INdAM Workshop "Mathematical modeling and Analysis of degradation and restoration in Cultural Heritage–MACH2021", held in Rome, Italy in September 2021. The book is focused on mathematical modeling and simulation techniques with the aim of improving the current strategies of conservation and restoration in cultural heritage, sharing different experiences and approaches. The main topics are corrosion and sulphation of materials, damage and fractures, stress in thermomechanical systems, contact and adhesion problems, and phase transitions.
A Course on Rough Paths
With many updates and additional exercises, the second edition of this book continues to provide readers with a gentle introduction to rough path analysis and regularity structures, theories that have yielded many new insights into the analysis of stochastic differential equations, and, most recently, stochastic partial differential equations. Rough path analysis provides the means for constructing a pathwise solution theory for stochastic differential equations which, in many respects, behaves like the theory of deterministic differential equations and permits a clean break between analytical and probabilistic arguments. Together with the theory of regularity structures, it forms a robust t...
Disorder and Critical Phenomena Through Basic Probability Models
Understanding the effect of disorder on critical phenomena is a central issue in statistical mechanics. In probabilistic terms: what happens if we perturb a system exhibiting a phase transition by introducing a random environment? The physics community has approached this very broad question by aiming at general criteria that tell whether or not the addition of disorder changes the critical properties of a model: some of the predictions are truly striking and mathematically challenging. We approach this domain of ideas by focusing on a specific class of models, the "pinning models," for which a series of recent mathematical works has essentially put all the main predictions of the physics community on firm footing; in some cases, mathematicians have even gone beyond, settling a number of controversial issues. But the purpose of these notes, beyond treating the pinning models in full detail, is also to convey the gist, or at least the flavor, of the "overall picture," which is, in many respects, unfamiliar territory for mathematicians.
Probability and Analysis in Interacting Physical Systems
This Festschrift on the occasion of the 75th birthday of S.R.S. Varadhan, one of the most influential researchers in probability of the last fifty years, grew out of a workshop held at the Technical University of Berlin, 15–19 August, 2016. This volume contains ten research articles authored by several of Varadhan's former PhD students or close collaborators. The topics of the contributions are more or less closely linked with some of Varadhan's deepest interests over the decades: large deviations, Markov processes, interacting particle systems, motions in random media and homogenization, reaction-diffusion equations, and directed last-passage percolation. The articles present original research on some of the most discussed current questions at the boundary between analysis and probability, with an impact on understanding phenomena in physics. This collection will be of great value to researchers with an interest in models of probability-based statistical mechanics.
Random Perturbation of PDEs and Fluid Dynamic Models
This volume explores the random perturbation of PDEs and fluid dynamic models. The text describes the role of additive and bilinear multiplicative noise, and includes examples of abstract parabolic evolution equations.
Recent Advances in Partial Differential Equations and Applications
This volume contains the proceedings of the International Conference on Recent Advances in PDEs and Applications, in honor of Hugo Beirão da Veiga's 70th birthday, held from February 17–21, 2014, in Levico Terme, Italy. The conference brought together leading experts and researchers in nonlinear partial differential equations to promote research and to stimulate interactions among the participants. The workshop program testified to the wide-ranging influence of Hugo Beirão da Veiga on the field of partial differential equations, in particular those related to fluid dynamics. In his own work, da Veiga has been a seminal influence in many important areas: Navier-Stokes equations, Stokes systems, non-Newtonian fluids, Euler equations, regularity of solutions, perturbation theory, vorticity phenomena, and nonlinear potential theory, as well as various degenerate or singular models in mathematical physics. This same breadth is reflected in the mathematical papers included in this volume.
Winning at All Costs
The 2006 World Cup final between Italy and France was a down-and-dirty game, marred by French superstar Zidane's head-butting of Italian defender Materazzi. But viewers were also exposed to the poetry, force, and excellence of the Italian game; as operatic as Verdi and as cunning as Machiavelli, it seemed to open a window into the Italian soul. John Foot's epic history shows what makes Italian soccer so unique. Mixing serious analysis and comic storytelling, Foot describes its humble origins in northern Italy in the 1890s to its present day incarnation where soccer is the national civic religion. A story that is reminiscent of Gangs of New York and A Clockwork Orange, Foot shows how the Ital...
Calcio
Calcio is John Foot's love letter to Italian football and its absorbing history. 'Calcio' tells the story of Italian football from its origins in the 1890s to the present day. It takes us through a history of great players and teams, of style, passion and success, but also of violence, cynicism, catenaccio tactics and corruption. We meet the personalities that have shaped this history - from the Italian heroes to the foreigners that failed, the model professionals to the mavericks. 'Calcio' evokes the triumphs (the 1982 World Cup victory) and the tragedies (Meroni, the 'Italian George Best', killed by his number one fan), set against a backdrop of paranoia and intrigue, in a country where th...
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