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We describe the percolation model and some of the principal results and open problems in percolation theory. We also discuss briefly the spectacular recent progress by Lawler, Schramm, Smirnov and Werner towards understanding the phase…

Probability · Mathematics 2007-05-23 Harry Kesten

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

This paper presents the latest development at CERN, concentrating on the status of the LHC and the strategy for future linear colliders. The immediate plans include the exploitation of the LHC at its design luminosity and energy as well as…

Accelerator Physics · Physics 2012-02-28 Rolf-Dieter Heuer

In this article we give a survey on open problems and conjectures concerning L^2-invariants. We cover the whole portfolio and not only certain aspects as they are considered in the previous more specialized (and within their scope more…

Algebraic Topology · Mathematics 2023-11-30 Dominik Kirstein , Christian Kremer , Wolfgang Lueck

In these lectures, the status of baryon chiral perturbation theory is reviewed. Particular emphasis is put on the two--flavor sector and the physics related to electromagnetic probes. I discuss in some detail the structure of the effective…

High Energy Physics - Phenomenology · Physics 2011-04-15 Ulf-G. Meißner

In this paper, we extend the paraxial conical refraction model to the case of the partially coherent light using the unified optical coherence theory. We demonstrate the decomposition of conical refraction correlation functions into…

Optics · Physics 2022-05-12 V. Yu. Mylnikov , V. V. Dudelev , E. U. Rafailov , G. S. Sokolovskii

We give a brief overview of the black hole information problem emphasizing fundamental issues and recent proposals for its resolution. The focus is on broad perspective and providing a guide to current literature rather than presenting full…

General Relativity and Quantum Cosmology · Physics 2017-08-02 Donald Marolf

A short informal survey on the topics listed in the title. For the proceedings of the International Conference on Rings and Algebras X.

Representation Theory · Mathematics 2007-05-23 Olivier Schiffmann

This talk tries to summarise where we are now, in the "nature and nurture" questions in galaxy formation and evolution, and briefly describe unsolved problems, and perspectives of progress.

Cosmology and Nongalactic Astrophysics · Physics 2009-09-16 Francoise Combes

In this series of lectures directed towards a mainly mathematically oriented audience I try to motivate the use of operator algebra methods in quantum field theory. Therefore a title as ``why mathematicians are/should be interested in…

Mathematical Physics · Physics 2007-05-23 Bert Schroer

A brief review of key recent developments and ongoing projects in perturbative QCD theory, with emphasis on conceptual advances that have the potential for impact on LHC studies. Topics covered include: twistors and new recursive…

High Energy Physics - Phenomenology · Physics 2009-11-11 Gavin P. Salam

Poisson algebraic structures on current manifolds (of maps from a finite dimensional Riemannian manifold into a 2-dimensional manifold) are investigated in terms of symplectic geometry. It is shown that there is a one to one correspondence…

High Energy Physics - Theory · Physics 2009-10-30 Sergio Albeverio , Shao-Ming Fei

This article is a draft of a book chapter of the book entitled "Quantum Percolation and Breakdown", to appear 2008.

Quantum Physics · Physics 2009-05-15 K. Kieling , J. Eisert

This article summarizes - from a personal perspective - some of the main themes that have emerged at this conference and in this field generally in the past few years.

Astrophysics · Physics 2007-05-23 S. Michael Fall

During the five days of this conference a very dense scientific program has enlighted our research fields, with the presentation of large number of interesting lectures. I will try to summarize the theoretical aspects of some of these new…

High Energy Physics - Phenomenology · Physics 2009-10-20 Jacques Soffer

These notes are a transcript of Carlo Rovelli's lectures on Loop Quantum Gravity, given in Marseille in 2018, which (at present) can be entirely found on YouTube. I transcribed them in LaTeX in early 2020 as an exercise to get ready for my…

General Relativity and Quantum Cosmology · Physics 2023-05-23 Pietropaolo Frisoni

Chapters 1 to 4 are the lecture notes of my course "Real Algebraic Geometry I" from the winter term 2020/2021. Chapters 5 to 8 are the lecture notes of its continuation "Real Algebraic Geometry II" from the summer term 2021. Chapters 9 and…

History and Overview · Mathematics 2022-05-10 Markus Schweighofer

Invited talk presented at the 1994 Meeting of The Division of Particles and Fields of the American Physical Society, Albuquerque NM, August 1-6, 1994

High Energy Physics - Phenomenology · Physics 2016-09-01 Ian Hinchliffe , Lawrence Berkeley Lab

It has, quite recently, become fashionable to study a certain class of holographic-inspired models for the dark energy. These investigations have, indeed, managed to make some significant advances towards explaining the empirical data.…

High Energy Physics - Theory · Physics 2009-02-18 A. J. M. Medved

At the LHC all processes are QCD ones, whether "signal" or "background". In this review the frontiers of current QCD research are addressed, towards increased understanding, improved calculational precision, and role in potential future…

High Energy Physics - Phenomenology · Physics 2015-06-17 T. Sjöstrand
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