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We prove a computable version of de Finetti's theorem on exchangeable sequences of real random variables. As a consequence, exchangeable stochastic processes expressed in probabilistic functional programming languages can be automatically…

Logic · Mathematics 2012-02-03 Cameron E. Freer , Daniel M. Roy

These are introductory lecture notes on Mather's theory for Tonelli Lagrangian and Hamiltonian systems. They are based on a series of lectures given by the author at Universit\`a degli Studi di Napoli "Federico II" (April 2009), at…

Dynamical Systems · Mathematics 2010-11-03 Alfonso Sorrentino

These are the lecture notes (in Italian) of a course held in Perugia, Italy, during the summer 2002. They concern the basic facts on the iterative solution of linear systems. The course is self-contained and requires only basic knowledge of…

History and Overview · Mathematics 2021-11-24 Luigi Brugnano , Cecilia Magherini

Seymour Geisser received his bachelor's degree in Mathematics from the City College of New York in 1950, and his M.A. and Ph.D. degrees in Mathematical Statistics at the University of North Carolina in 1952 and 1955, respectively. He then…

Methodology · Statistics 2008-12-18 Ronald Christensen , Wesley Johnson

These lecture notes are based on a set of six lectures that I gave in Edinburgh in 2008/2009 and they cover some topics in the interface between Geometry and Physics. They involve some unsolved problems and conjectures and I hope they may…

Algebraic Geometry · Mathematics 2010-09-27 Michael Atiyah

In April 1925, Enrico Fermi was only 23 years old and he had graduated less than three years earlier. Despite his age, Fermi was invited at the University of Rome by Federigo Enriques to give several lectures on the recent advances in…

History and Philosophy of Physics · Physics 2022-12-26 Emanuele Goldoni , Ledo Stefanini

Summer vacations in the Dolomites were a tradition among the professors of the Faculty of Mathematical and Physical Sciences at the University of Roma since the end of the XIX century. Beyond the academic walls, people like Tullio…

History and Philosophy of Physics · Physics 2016-10-27 Giovanni Battimelli , Alessandro De Angelis

Although one of the most popular practices in photography since the end of the 19th century, an increase in scholarly interest in family photo albums dates back to the early 1980s. Such collections of photos may reveal sociological and…

Computer Vision and Pattern Recognition · Computer Science 2023-06-14 Lorenzo Stacchio , Alessia Angeli , Giuseppe Lisanti , Daniela Calanca , Gustavo Marfia

The 1896-1901 Milanese period is a key one to understand Einstein's training background. When he was a student at the ETH in Z\"urich (the Swiss Federal Polytechnic in Z\"urich) from 1896 to 1900, he would make regular trips back to Milan…

History and Philosophy of Physics · Physics 2015-07-28 Christian Bracco

David Ross Brillinger was born on the 27th of October 1937, in Toronto, Canada. In 1955, he entered the University of Toronto, graduating with a B.A. with Honours in Pure Mathematics in 1959, while also serving as a Lieutenant in the Royal…

Methodology · Statistics 2012-01-11 Victor M. Panaretos

These notes are part of the research seminar with title "Theory of Bergman spaces and related function spaces" that took place in the University of Crete, Department of Mathematics (September 2006- December 2007), in the framework of the…

Complex Variables · Mathematics 2008-01-11 Petros Galanopoulos

In October 1604, when SN1604, the last naked-eye visible supernova in our Galaxy, exploded, Galileo Galilei was the professor of mathematics and astronomy at the University of Padua, teaching the mechanics of planets. He was therefore the…

History and Philosophy of Physics · Physics 2023-02-21 Alessandro De Angelis

Lectures given at the International School of Subnuclear Physics: 37th Course: Basics and Highlights of Fundamental Physics, Erice, Italy, 29 Aug - 7 Sep 1999.

High Energy Physics - Phenomenology · Physics 2017-08-23 Zoltan Kunszt

Effective bounds on the union probability are well known to be beneficial in the analysis of stochastic problems in many areas, including probability theory, information theory, statistical communications, computing and operations research.…

Probability · Mathematics 2016-02-02 Jun Yang , Fady Alajaji , Glen Takahara

In these notes we propose a setting for fuzzy computing in a framework similar to that of well-established theories of computation: boolean, and quantum computing. Our efforts have been directed towards stressing the formal similarities:…

Artificial Intelligence · Computer Science 2016-05-06 Vittorio Cafagna , Gianluca Caterina

In this article, we use the 75th anniversary of the publication of \emph{Introducci\'on al An\'alisis Matem\'atico} by Mario O. Gonz\'alez to study its importance. Besides, we give new biographical data from his author in the previous years…

History and Overview · Mathematics 2019-05-07 Luis Giraldo González Ricardo

These are lecture notes written at the University of Zurich during spring 2014 and spring 2015. The first part of the notes gives an introduction to probability theory. It explains the notion of random events and random variables,…

Probability · Mathematics 2020-11-02 Nima Moshayedi

Invited talk at 9th International Workshop on Deep Inelastic Scattering (DIS 2001), Bologna, Italy, 27 Apr -1 May 2001

High Energy Physics - Phenomenology · Physics 2007-05-23 Yuri Dokshitzer

The Wivace 2013 Electronic Proceedings in Theoretical Computer Science (EPTCS) contain some selected long and short articles accepted for the presentation at Wivace 2013 - Italian Workshop on Artificial Life and Evolutionary Computation,…

Computational Engineering, Finance, and Science · Computer Science 2013-09-30 Alex Graudenzi , Giulio Caravagna , Giancarlo Mauri , Marco Antoniotti

Recent years have witnessed the rapid progression of deep learning, pushing us closer to the realization of AGI (Artificial General Intelligence). Probabilistic modeling is critical to many of these advancements, which provides a…

Artificial Intelligence · Computer Science 2025-03-26 Jianyi Zhang