Related papers: Alexandrov Par Excellence
This article is based on the lectures in the Winter Braids V (Pau, Feb. 2015). Main puposel of this is to explain how to compute twisted Alexander polynomials for non-experts.
Professor Sir Karl Popper (1902-1994) was one of the most influential philosophers of science of the twentieth century, best known for his doctrine of falsifiability. His axiomatic formulation of probability, however, is unknown to current…
Some particular facets of the numerous works by Marcos Moshinsky and Yurii Fedorovich Smirnov are presented in these notes. The accent is put on some of the common interests of Yurii and Marcos in physics, theoretical chemistry, and…
The multi-faceted contributions of Dr. Peter Scheglov (1932-2002) in the area of site testing are briefly reviewed. He discovered and studied astronomical sites in the Central Asia, developed new site-testing instruments, promoted new…
We obtain estimates on the supremum, infimum and oscillation of solutions for a wide class of inhomogeneous fully nonlinear elliptic equations on Euclidean domains where the differential operator is an I-central Garding-Dirichlet operator…
Emeritus Professor Dr. Dr. h.c. Walter Benz passed away on 13 January 2017.
The Alexander polynomial (1928) is the first polynomial invariant of links devised to help distinguish links up to isotopy. Fox's conjecture (1962) -- stating that the absolute values of the coefficients of the Alexander polynomial for any…
This crisp summary of salient aspects of Carroll spinors is dedicated to the memory of Dharam Ahluwalia, the intrepid champion of ELKO spinors.
Considering the class of almost periodic functions in the Stepanov sense we extend and generalize the results of the first author [4]. as well as the results of L. Leindler [3] and P. Chandra [1,2].
This text is based on a commemorative lecture dedicated to Enrique Gaviola, delivered on August 14, 2025, at the C\'ordoba Astronomical Observatory on the occasion of the 125th anniversary of his birth. The event was organized by the OAC,…
This lecture is dedicated to the memory of Vladimir Gribov. We discuss the procedure of complete gauge fixing to avoid Gribov copies, as well as results for the low-lying glueball spectrum in intermediate volumes for the torus and for the…
Detlef D\"urr (1951-2021) was a theoretical and mathematical physicist who worked particularly on the foundations of quantum mechanics, electromagnetism, and statistical mechanics. This piece is a rather personal look back at him and his…
This tribute to the memory of my old friend and collaborator, Richard Arnowitt, focuses on the history, results and physical significance of the Arnowitt-Deser-Misner formulation of General Relativity, starting from its birth in 1958-9…
Remarks at the Irving Kaplansky Memorial about a collaboration during the early period of the renewal of contacts between mathematicians and theoretical physicists.
The present study attempts to highlight the research output generated in Russia in coronary artery disease (CAD) research during the period 1990-2019 to understand the distribution of research output, top journals for publications, and most…
Let $M$ be an Alexandrov space collapsing to an Alexandrov space $X$ of lower dimension. Suppose $X$ has no proper extremal subsets and let $F$ denote a regular fiber. We slightly improve the result of Perelman to construct an infinitely…
We discuss and draw the reader's attention to several passages in Vladimir Arnold's note on the epigraph to the novel in verse "Evgenii Onegin" by A$.$S$.$Pushkin, as well as to puzzles hidden in the novel by the poet himself.
In this short survey we give a background and explain some recent developments in algebraic minimal cones and nonassociative algebras. A good deal of this paper is recollections of my collaboration with my teacher, PhD supervisor and a…
These notes are written for the book "From the past to the future: the legacy of Lev Lipatov", editors: Jochen Bartels et all, which will be published by WS. I tried to share with you the atmosphere and the flavour of everyday life in…
Talk dedicated to the 110th anniversary of L.S.Pontryagin. Steklov Mathematical Institute of Russian Academy of Sciences, Moscow.