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A lecture notes style review of the non-equilibrium statistical mechanics of recurrent neural networks with discrete and continuous neurons (e.g. Ising, graded-response, coupled-oscillators). To be published in the Handbook of Biological…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. C. C. Coolen

These notes were originally prepared as additional material for the lessons I have given at the summer school Gamma-ray Astrophysics and Multifrequency: Data analysis and astroparticle problems, organized by the Department of Physics of the…

Instrumentation and Methods for Astrophysics · Physics 2009-10-13 Luigi Foschini

This is an invited short update of the topic covered by the review article, which aims to briefly survey progress made in theoretical and experimental studies of multidimensional solitons since the publication of the review. The Commentary…

Optics · Physics 2016-03-16 Boris A. Malomed , Dumitru Mihalache , Frank Wise , Lluis Torner

The idea of atoms is old but X-rays provided the first probe into the physical atom. Photographs of X-ray scattering from crystals -Laue spots- were the first visual proof for the physical existence of atoms arranged in a perfect geometric…

History and Philosophy of Physics · Physics 2013-11-04 Yeuncheol Jeong , Ming Yin , Timir Datta

These lecture notes were written for the course 18.657, High Dimensional Statistics at MIT. They build on a set of notes that was prepared at Princeton University in 2013-14 that was modified (and hopefully improved) over the years.

Statistics Theory · Mathematics 2023-10-31 Philippe Rigollet , Jan-Christian Hütter

Discussion of "Bayesian Models and Methods in Public Policy and Government Settings" by S. E. Fienberg [arXiv:1108.2177]

Methodology · Statistics 2011-08-22 Graham Kalton

This is a summary of the `Astronomy Perspective' of the 4th meeting on 'Statistical Challenges in Modern Astronomy' held at Penn State University in June 2006. We comment on trends in the Astronomy community towards Bayesian methods and…

Astrophysics · Physics 2007-05-23 Ofer Lahav

I give a brief, non-technical, historical perspective on numerical analysis and optimization. I also touch on emerging trends and future challenges. This content is based on the short presentation that I made at the opening ceremony of…

Numerical Analysis · Mathematics 2020-09-25 Desmond J. Higham

This report is based on the talk given by the author in the concluding session of the workshop on Canonical Methods in Classical and Quantum General Relativity, held a Bad-Honef, Germany, in September 93. It contains an assessment of the…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Abhay Ashtekar

This is a written version of the review talk given at the meeting on "Interface of Gravitational and Quantum Realms" at IUCAA, Pune during December 2001. The talk reviewed the recent work of Martin Bojowald on Loop Quantum Cosmology.

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. Date

This is an expanded account of three lectures on the distribution of prime numbers given at the Montreal NATO school on equidistribution.

Number Theory · Mathematics 2007-05-23 K. Soundararajan

Clauset and Woodard (2013) ask, "What is the likelihood of another September 11th-sized or larger terrorist event, worldwide, over the next decade?" This question has implications for numerous policy arenas - national security,…

Applications · Statistics 2014-01-10 Susan M. Paddock

These are notes of a series of lectures on sieves, presented during the Special Activity in Analytic Number Theory, at the Max-Planck Institute for Mathematics in Bonn, during the period January--June 2002.

Number Theory · Mathematics 2007-05-23 D. R. Heath-Brown

This is the lecture note of my invited lecture given at the International Conference on Number Theory at Harish-Chandra Research Institute in Allahabad (quite near the River Ganges), India on December 5, 2006. I gave an invited lecture on…

Number Theory · Mathematics 2009-07-27 Jae-Hyun Yang

This is an English (annotated) translation of the Thesis report (in German) of Max Planck at the University of Munich (1879)

History and Philosophy of Physics · Physics 2024-03-18 Pascal Marquet , Max Planck

These notes are based on a lecture given by S. L. Woronowicz at the Institute of Mathematics, Polish Academy of Sciences.

High Energy Physics - Theory · Physics 2007-05-23 R. J. Budzynski , W. Kondracki

This report is a collection of comments on the Read Paper of Fearnhead and Prangle (2011), to appear in the Journal of the Royal Statistical Society Series B, along with a reply from the authors.

Lectures presented at the 1st CERN Asia-Europe-Pacific School of High-Energy Physics, Fukuoka, Japan, 14-27 October 2012. A pedagogical selection of topics in probability and statistics is presented. Choice and emphasis are driven by the…

Data Analysis, Statistics and Probability · Physics 2014-05-15 J. Ocariz

This doctoral dissertation presents an in-depth analysis of the first six chapters of Eddington's Fundamental Theory, sometimes referred to as his 'statistical' theory, in the context of discoveries and advancements made since its original…

Quantum Physics · Physics 2007-05-23 I. T. Durham

The talk consisted mainly in commenting in a linear way the seminal paper in 1964 by Michel Henon and graduate student Carl Heiles at Princeton University: "The applicability of the third integral of motion: Some numerical experiments" in…

Astrophysics of Galaxies · Physics 2014-11-19 Daniel Pfenniger