Results 21 to 30 of about 1,176 (141)
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Information, learning and falsification [PDF]
, 2011 There are (at least) three approaches to quantifying information. The first, algorithmic information or Kolmogorov complexity, takes events as strings and, given a universal Turing machine, quantifies the information content of a string as the length of ...
Balduzzi, D., Balduzzi, David
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Sharp Inequalities of Ostrowski Type for Convex Functions Defined on Linear Spaces and Application
, 2007 An Ostrowski type inequality for convex functions defined on linear spaces is generalised. Some inequalities which improve the Hermite–Hadamard type inequality for convex functions defined on linear spaces are derived using the obtained result.
Cerone, P. +4 more
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On a sharp inequality of Adimurthi-Druet type and extremal functions
, 2022 Our main purpose in this paper is to establish the existence and nonexistence of extremal functions for sharp inequality of Adimurthi-Druet type for fractional dimensions on the entire space. Precisely, we extend the sharp Trudinger-Moser type inequality
Ó, João Marcos do +1 more
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On a sharp Poincare-type inequality on the 2-sphere and its application in micromagnetics [PDF]
, 2019 The main aim of this note is to prove a sharp Poincare-type inequality for vector-valued functions on S2 that naturally emerges in the context of micromagnetics of spherical thin films.
Zarnescu, A. +5 more
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MusicSwarm: Biologically Inspired Intelligence for Music Composition
Advanced Intelligent Systems, Volume 8, Issue 5, May 2026.Biologically inspired swarms of frozen foundation models self‐organize to compose complex music without fine‐tuning. By coordinating through stigmergic signals, decentralized agents dynamically evolve specialized roles and adapt to solve complex tasks.
Markus J. Buehler
wiley +1 more source
Stochastic Dynamics From Maximum Entropy in Action Space
Fortschritte der Physik, Volume 74, Issue 5, May 2026.ABSTRACT We develop an information‐theoretic formulation of stochastic dynamics in which the fundamental stochastic variable is the total action connecting spacetime points, rather than individual paths. By maximizing Shannon entropy over a joint distribution of actions and endpoints, subject to normalization and a constraint on the mean action, we ...
Fabricio Souza Luiz +3 more
wiley +1 more source
Review of Income and Wealth, Volume 72, Issue 2, May 2026.ABSTRACT Wealth, though crucial for modeling economic behavior and understanding well‐being, is difficult to measure in surveys. This paper introduces a new, comprehensive account‐by‐account approach for eliciting asset holding. This approach is implemented in the Vanguard Research Initiative, a panel of wealthholders designed to yield high‐quality ...
John Ameriks +4 more
wiley +1 more source
, 2020 © 2020 Elsevier Inc. This article is devoted to the sharp improvement of the classical Bohr inequality for bounded analytic functions defined on the unit disk.
Ismagilov A., Kayumov I.R., Ponnusamy S.
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A sharp multidimensional Bergh type inequality
, 2001 A sharp multidimensional integral inequality for functions satisfying two quasi-mono-tonicity conditions is proved. This result generalizes Bergh's inequality valid for quasi-concave functions.
Perić, Ivan, +2 more
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