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These notes give an introduction to the mathematical framework of the Batalin-Vilkovisky and Batalin-Fradkin-Vilkovisky formalisms. Some of the presented content was given as a mini course by the first author at the 2018 QSPACE conference…

Mathematical Physics · Physics 2020-10-30 Alberto S. Cattaneo , Nima Moshayedi

This is a review of current black-hole theory, concentrating on local, dynamical aspects.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sean A. Hayward

I give a brief overview of the status of lattice QCD, concentrating on topics relevant to phenomenology. I discuss the calculation of the light quark spectrum, the lattice prediction of $\alpha_\MS(M_Z)$, and the calculation of $f_B$.

High Energy Physics - Phenomenology · Physics 2007-05-23 Stephen Sharpe

Invited contribution to the collective book "The Birth of String Theory"

High Energy Physics - Theory · Physics 2009-04-05 Eugene Cremmer

As quantum machine learning continues to evolve, reinforcement learning stands out as a particularly promising yet underexplored frontier. In this survey, we investigate the recent advances in QRL to assess its potential in various…

A paper for general audience about descriptive inner model theory.

Logic · Mathematics 2012-06-14 Grigor Sargsyan

This is a short position paper drawing on experience working with the UK banking industry and their disabled and ageing customers in the Business Disability Forum, a UK non-profit member organisation funded by a large body of UK private and…

Computers and Society · Computer Science 2015-07-17 Bela Gor , David Aspinall

Recent machine learning techniques can be modified to produce creative results. Those results did not exist before; it is not a trivial combination of the data which was fed into the machine learning system. The obtained results come in…

Computer Vision and Pattern Recognition · Computer Science 2016-01-15 Martin Thoma

This work-in-progress paper presents the current development of a new collaborative remote laboratory platform. The results are intended to serve as a foundation for future research on collaborative work in remote laboratories. Our…

Computers and Society · Computer Science 2024-07-16 Sven Jacobs , Timo Hardebusch , Esther Franke , Henning Peters , Rashed Al Amin , Veit Wiese , Steffen Jaschke

The aim of this article is twofold: on the one hand it is intended to serve as a gentle introduction to the topic of creative telescoping, from a practical point of view; for this purpose its application to several problems is exemplified.…

Symbolic Computation · Computer Science 2013-07-18 Christoph Koutschan

We review our construction of the Teichm\"uller TQFT. We recall our volume conjecture for this TQFT and the examples for which this conjecture has been established. We end the paper with a brief review of our new formulation of the…

Quantum Algebra · Mathematics 2018-11-19 Jørgen Ellegaard Andersen , Rinat Kashaev

In this expository paper, I survey Room frames and Kirkman frames, concentrating on the early history of these objects. I mainly look at the basic construction techniques, but I also provide some historical remarks and discussion. I also…

Combinatorics · Mathematics 2022-10-04 Douglas R. Stinson

A brief account of interesting moments in the genesis of the quark paradigm is presented.

History and Philosophy of Physics · Physics 2014-12-31 Vladimir A. Petrov

The term quantum logic has different connotations for different people, having been considered as everything from a metaphysical attack on classical reasoning to an exercise in abstract algebra. Our aim here is to give a uniform…

Quantum Physics · Physics 2007-05-23 Bob Coecke , David Moore , Alexander Wilce

I review the progress in fundamental spin physics over the past several years and the prospects for the future. The progress is striking and the prospects are excellent.

High Energy Physics - Phenomenology · Physics 2009-11-07 Robert L. Jaffe

These are informal notes written in 2007 that outline the local and global quantum Langlands program. (I decided to make them public in view of the revived interest in the subject.)

Algebraic Geometry · Mathematics 2016-01-21 Dennis Gaitsgory

Machine learning (ML) has been pervasively researched nowadays and it has been applied in many aspects of real life. Nevertheless, issues of model and data still accompany the development of ML. For instance, training of traditional ML…

Machine Learning · Computer Science 2022-06-29 Shengwen Ding , Chenhui Hu

This short survey contains some recent developments of the algebraic theory of racks and quandles. We report on some elements of representation theory of quandles and ring theoretic approach to quandles.

Rings and Algebras · Mathematics 2020-08-04 Mohamed Elhamdadi

This paper collects some problems that I have encountered during the years, have puzzled me and which, to the best of my knowledge, are still open. Most of them are well-known and have been first stated by other authors. In this sad season…

Analysis of PDEs · Mathematics 2020-03-26 Giovanni Alessandrini

Recent development in quantum computation and quantum information theory allows to extend the scope of game theory for the quantum world. The paper presents the history, basic ideas and recent development in quantum game theory. On grounds…

Quantum Physics · Physics 2007-05-23 E. W. Piotrowski , J. Sladkowski
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