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In these talks, I discuss a few selected topics in integrable models that are of interest from various points of view. Some open questions are also described.

High Energy Physics - Theory · Physics 2017-08-23 Ashok Das

The content of this paper is now available as part of arXiv:0902.1502

Quantum Physics · Physics 2009-02-10 Stefano Pirandola

Several conjectural continued fractions found with the help of various algorithms are published in this paper.

Number Theory · Mathematics 2017-04-14 Thomas Baruchel

This note gives an overview of the BV formalism in its various incarnations and applications.

Mathematical Physics · Physics 2025-02-17 Alberto S. Cattaneo , Pavel Mnev , Michele Schiavina

Informal seminar notes explaining the ideas in math.DS/0411344 and math.DS/0411345.

Dynamical Systems · Mathematics 2010-02-04 Tom Leinster

This paper presents complexity analysis and variational methods for inference in probabilistic description logics featuring Boolean operators, quantification, qualified number restrictions, nominals, inverse roles and role hierarchies.…

Artificial Intelligence · Computer Science 2012-05-14 Fabio Gagliardi Cozman , Rodrigo Bellizia Polastro

In this note, we derive a Leibniz rule for difference quotient.

Number Theory · Mathematics 2026-02-03 Taekyun Kim , Dae san Kim

We improve constants in the Rademacher-Menchov inequality.

Probability · Mathematics 2007-05-23 Witold Bednorz

The ``spatial interpretation of compositeness'', presented and discussed in [1,2] in the context of non-relativistic potential scattering, is extended to higher partial waves. A particular set of basis states is used to arrive at a slightly…

Nuclear Theory · Physics 2025-02-13 Peter C. Bruns

These lecture notes were prepared for a special topics course in the Department of Statistics at the University of Washington, Seattle. They comprise the first eight chapters of a book currently in progress.

Statistics Theory · Mathematics 2024-07-16 Fang Han

This is article is taken out.

Software Engineering · Computer Science 2007-05-23 Prashant

The simple L\'evy Poisson process and scaled forms are explicitly constructed from partial sums of independent and identically distributed random variables and from sums of non-stationary independent random variables. For the latter, the…

Probability · Mathematics 2022-05-31 Aladji Babacar Niang , Gane Samb Lo , Chérif Mamadou Moctar Traoré , Amadou Ball

A simple theory of the covariant derivatives, deformed derivatives and relative covariant derivatives of multivector and multiform fields is presented using algebraic and analytical tools developed in previous papers.

Mathematical Physics · Physics 2007-05-23 V. V. Fernandez , A. M. Moya , E. Notte-Cuello , W. A. Rodrigues

These condensed notes treat some basic notions in Tropical Geometry (varieties, cycles, modifications, equivalence). These topics are to be extended, illustrated and included to the upcoming book project…

Algebraic Geometry · Mathematics 2007-09-10 Grigory Mikhalkin

This short note is an "elementary'' introduction to the conjectural theory of motives.

Algebraic Geometry · Mathematics 2007-05-23 L. Barbieri-Viale

This note shows that the three theorems presented in J. Math. Anal. Appl. 556 (2026), 130199, whose proofs, in their present formulation, are purely formal, follow from elementary calculus.

Classical Analysis and ODEs · Mathematics 2025-12-11 R. Álvarez-Nodarse , K. Castillo

These notes gather recent results on robust statistical learning theory. The goal is to stress the main principles underlying the construction and theoretical analysis of these estimators rather than provide an exhaustive account on this…

Machine Learning · Statistics 2019-08-29 Matthieu Lerasle

This article is a semitutorial-style survey of computability logic. An extended online version of it is maintained at http://www.csc.villanova.edu/~japaridz/CL/ .

Logic in Computer Science · Computer Science 2020-11-03 Giorgi Japaridze

The aim of this short note is to provide a proof to a statement of Sierpi\'nski concerning the number of possible sums of a series (of type $\lambda<\aleph_1$) of arbitrary ordinal numbers.

Logic · Mathematics 2022-01-20 Marco Trombetti

This is a collection of notes for part of a short course on modal methods in fluid mechanics held at DAMTP, University of Cambridge, in the summer of 2019. These notes introduce the reader to resolvent analysis as it is currently used in…

Fluid Dynamics · Physics 2019-09-11 A S Sharma
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