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Life and the mathematical legacy of the great mathematician A.V. Pogorelov.

Differential Geometry · Mathematics 2008-10-16 Alexander A. Borisenko

I want to write about what I know and remember about the activities of Leonid Vital'evich Kantorovich, an outstanding scientist of the 20th century; about his dramatic struggle for recognition of his mathematical economic theories; about…

History and Overview · Mathematics 2007-07-05 Anatoly Vershik

The master student at Lomonosov University in Moscow E.P. Velikhov formulated 1959 the theory of magnetorotational instability, which dominates current astrophysics. A meteoric career made him later the science, nuclear and disarmament…

History and Philosophy of Physics · Physics 2026-03-03 Günther Rüdiger

Dmitri Ivanenko, professor of Moscow State University, was one of the great theoreticians of XX century, an author of the proton-neutron model of atomic nucleus. In honor of the 110th Year Anniversary.

History and Philosophy of Physics · Physics 2016-07-15 G. Sardanashvily

Yurii Fedorovich Smirnov (1935-2008) was a famous theoretical physicist. He achieved his career mainly at the Institute of Nuclear Physics of Moscow. These notes describe some particular facets of the contributions of the late Professor…

History and Philosophy of Physics · Physics 2015-05-13 Maurice Robert Kibler

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History and Overview · Mathematics 2017-04-11 Alexander Kreuzer , Hans Havlicek

Reminiscences about Alexandr Danilovich Alexandrov (1912--1999)

History and Overview · Mathematics 2012-07-20 S. S. Kutateladze

Andrei Kolmogorov's Grundbegriffe der Wahrscheinlichkeits-rechnung put probability's modern mathematical formalism in place. It also provided a philosophy of probability--an explanation of how the formalism can be connected to the world of…

Statistics Theory · Mathematics 2007-06-13 Glenn Shafer , Vladimir Vovk

This is a review of the main physical ideas and examples of applicability in astrophysics and pure physics of a semiclassical theory of dense matter proposed by Pavle Savic and Radivoje Kasanin in the early sixties. A hypothesis, advanced…

Astrophysics · Physics 2007-05-23 V. Celebonovic

This presentation goes beyond celebratory narration of the life and scientific achievements of Russia's first modern scientist Mikhail Vasilievich Lomonosov (1711-1765). Coming from the notion of complexity of sciences, we introduce "a…

History and Philosophy of Physics · Physics 2012-05-15 V. Shiltsev

We discuss the legacy of Alan Turing and his impact on computability and analysis.

Logic · Mathematics 2018-12-10 Jeremy Avigad , Vasco Brattka

English translation of Russian book compiled to honor the memory of Ilya Mikhailovich Kapchinsky - To the 90th Birthday Collection of Memories. The idea for this publication belongs to Nikolai Vladimirovich Lazarev, a close collaborator of…

History and Philosophy of Physics · Physics 2023-03-03 R. A. Jameson , V. S. Skachkov

Inductive inference is a recursion-theoretic theory of learning, first developed by E. M. Gold (1967). This paper surveys developments in probabilistic inductive inference. We mainly focus on finite inference of recursive functions, since…

Machine Learning · Computer Science 2007-05-23 Andris Ambainis

The review presents rigorous results of the theory of fundamental equations of evolution of many-particle systems with collisions and also considers their connection with nonlinear kinetic equations describing the collective behavior of…

Mathematical Physics · Physics 2023-08-21 V. I. Gerasimenko , I. V. Gapyak

This is a survey paper on several aspects of differential geometry for the last 30 years, especially in those areas related to non-linear analysis. It grew from a talk I gave on the occasion of seventieth anniversary of Chinese Mathematical…

Differential Geometry · Mathematics 2007-05-23 Shing-Tung Yau

Professor Sir Karl Popper (1902-1994) was one of the most influential philosophers of science of the twentieth century. However, in his most famous work he displays misunderstandings of science and mathematics at a basic level.

History and Philosophy of Physics · Physics 2012-02-23 Alan B. Whiting

Transformer architectures have revolutionized artificial intelligence (AI) through their attention mechanisms, yet the computational principles underlying their success remain opaque. We present a novel theoretical framework that…

Machine Learning · Computer Science 2026-05-07 Mu Qiao

Remarks at the Irving Kaplansky Memorial about a collaboration during the early period of the renewal of contacts between mathematicians and theoretical physicists.

History and Philosophy of Physics · Physics 2007-05-23 Peter G. O. Freund

This article celebrates the 40th anniversary of Dr. Ivan Dmitrievich Remizov, a mathematician who made a number of important contributions to the theory of one-parameter operator semigroups -- a branch of functional analysis which has…