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Related papers: Problems and memories

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We survey recent developments in the theory of achievement sets and present a substantial collection of open problems.

Classical Analysis and ODEs · Mathematics 2025-12-22 Szymon Głąb , Franciszek Prus-Wiśniowski

In this survey paper, we present open problems and conjectures on visibility graphs of points, segments and polygons along with necessary backgrounds for understanding them.

Computational Geometry · Computer Science 2015-03-17 Subir Kumar Ghosh , Partha Pratim Goswami

We point out four problems which have arisen during the recent research in the domain of Combinatorial Physics.

Symbolic Computation · Computer Science 2009-01-20 Gérard Henry Edmond Duchamp , H. Cheballah

Insofar as Sir Karl Raimund Popper's writings deal with political statements, they are evident; yet insofar as they deal with scientific issues, they are misleading. If applied to the concrete implementation of science, such as distribution…

History and Philosophy of Physics · Physics 2007-05-23 Karl Svozil

Group and individual solutions are considered for hard problems such as satisfiability problem. Time-space trade-off in a structured active memory provides means to achieve lower time complexity for solutions of these problems.

Computational Complexity · Computer Science 2007-05-23 Mark Burgin

This is a survey about the Skorokhod embedding problem. It presents all known solutions together with their properties and some applications. Some of the solutions are just described, while others are studied in detail and their proofs are…

Probability · Mathematics 2007-05-23 Jan Obloj

We present several results, including some remarks on the Hopf Lemma.

Analysis of PDEs · Mathematics 2009-10-05 YanYan Li , Louis Nirenberg

We list and discuss the background of some open problems, regarding the principle of local reflexivity for maximal Banach ideals.

Functional Analysis · Mathematics 2007-11-28 Frank Oertel

A brief review of progress and issues in hadronic theory and phenomenology is presented. New results for the $X(3872)$, $Z_c(3900)$, and $Z_c(4020)$ are discussed and unresolved issues are highlighted. A series of open problems in pQCD,…

High Energy Physics - Phenomenology · Physics 2014-01-17 E. S. Swanson

The paper contains a survey of the results obtained during the last ten years in the theory of elliptic boundary problems in H\"ormander function spaces, developed by the authors, and other related results of modern analysis. The basics of…

Analysis of PDEs · Mathematics 2024-08-15 V. A. Mikhailets , A. A. Murach , I. S. Chepurukhina

In this paper we discuss some of the issues concerning the Memory and Content aspects in the recent debate on the identification of a Standard Model of the Mind (Laird, Lebiere, and Rosenbloom in press). In particular, we focus on the…

Artificial Intelligence · Computer Science 2018-04-24 Antonio Chella , Marcello Frixione , Antonio Lieto

The black hole information problem has been a challenge since Hawking's original 1975 paper. It led to the discovery of AdS/CFT, which gave a partial resolution of the paradox. However, recent developments, in particular the firewall…

High Energy Physics - Theory · Physics 2016-12-21 Joseph Polchinski

Re-considering this work.

Quantum Physics · Physics 2010-10-15 Yakir Aharonov , Jeeva Anandan , Shmuel Nussinov

In this talk, I address some open problems in hadron physics and stress their importance for a better understanding of QCD in the confinement regime.

High Energy Physics - Phenomenology · Physics 2009-11-10 Ulf-G. Meißner

This paper studies the computational complexity of the Edge Packing problem and the Vertex Packing problem. The edge packing problem (denoted by $\bar{EDS}$) and the vertex packing problem (denoted by $\bar{DS} $) are linear programming…

Computational Complexity · Computer Science 2011-04-08 Sameera Muhamed Salam , K. N. Parvathy , K. S. Sudeep , K. Murali Krishnan

We give short elementary expositions of combinatorial proofs of some variants of Euler's partitition problem that were first addressed analytically by George Andrews, and later combinatorially by others. Our methods, based on ideas from a…

Combinatorics · Mathematics 2021-07-19 Aritro Pathak

In the past few years we have derived asymptotic expansions for lambda_d of the dimer problem and lambda_d(p) of the monomer-dimer problem. The many expansions so far computed are collected herein. We shine a light on results in two…

Mathematical Physics · Physics 2013-02-18 Paul Federbush

This document is a brief summary of progress that has been made on the problems posed in the document "Twenty Open Problems in Enumeration of Matchings" (also available from this server as math.CO/9801060). NOTE: This article has now been…

Combinatorics · Mathematics 2007-05-23 James Propp

We introduce a simple analysis of the structural complexity of infinite-memory processes built from random samples of stationary, ergodic finite-memory component processes. Such processes are familiar from the well known multi-arm Bandit…

Statistical Mechanics · Physics 2015-04-03 James P. Crutchfield , Sarah Marzen
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