Results 71 to 80 of about 7,536,502 (162)
Stochasticization of Solutions to the Yang–Baxter Equation
, 2019 In this paper, we introduce a procedure that, given a solution to the Yang–Baxter equation as input, produces a stochastic (or Markovian) solution to (a possibly dynamical version of) the Yang–Baxter equation.
Borodin, Alexei +2 more
core +1 more source
The Interplay of R-matrices and Quantum Groups [PDF]
Advances in Group Theory and ApplicationsThese are the expanded lecture notes of a mini-course given by the author in Milan in June 2024, during the conference GABY: Groups and Algebras in Bicocca for Young algebraists. We present a concise introduction to the theory of quantum groups, focusing
Andrea Appel
doaj +1 more source
Aquatic Insect Thermal Responses Vary by Physiological Rate and Diet
Freshwater Biology, Volume 71, Issue 9, September 2026.ABSTRACT Temperature is an important control on metabolic rate and organismal contribution to ecosystem processes. Many studies have measured aquatic insect thermal performance, but fewer have simultaneously measured thermal responses for multiple physiological rates and examined how these responses are modulated by diet.
Carolyn S. Cummins +9 more
wiley +1 more source
Catch Me If You Can: The Dynamic Nature of Bias in Machine Learning Applications
Information Systems Journal, Volume 36, Issue 5, Page 710-742, September 2026.ABSTRACT Bias in machine learning (ML) applications represents systematic differences between expected and actual values of the predicted outputs, such that certain individuals or groups are systematically and disproportionately (dis)advantaged. This paper investigates the dynamic nature of bias in ML applications.
Monideepa Tarafdar, Irina Rets, Yang Hu
wiley +1 more source
The Duality between Corings and Ring Extensions
Axioms, 2012 We study the duality between corings and ring extensions. We construct a new category with a self-dual functor acting on it, which extends that duality.
Florin F. Nichita, Bartosz Zielinski
doaj +1 more source
From Yang-Baxter equation to Markov maps
, 2020 The Yang-Baxter equation states equality of certain local partition functions of a vertex model. If the terms of the Yang-Baxter equation are nonnegative, we can turn it into a a Markov map, which randomly maps objects from one side of the identity into ...
Petrov, Leonid
core +1 more source
Auxiliary field sigma models and Yang-Baxter deformations
Journal of High Energy PhysicsWe combine the Yang-Baxter (YB) and bi-Yang-Baxter (bi-YB) deformations with higher-spin auxiliary field deformations to construct multi-parameter families of integrable deformations of the principal chiral model on a Lie group G with semi-simple Lie ...
Daniele Bielli +3 more
doaj +1 more source
AxiomsThis manuscript presents set-theoretical solutions to the Yang–Baxter equation within the framework of GE-algebras by constructing mappings that satisfy the braid condition and exploring the algebraic properties of GE-algebras.
Ibrahim Senturk +5 more
doaj +1 more source
Rota–Baxter Operators on Dihedral and Alternating Groups [PDF]
Advances in Group Theory and ApplicationsRota–Baxter operators on algebras, which appeared in 1960, have connections with different versions of the Yang–Baxter equation, pre- and postalgebras, double Poisson algebras, etc. In 2020, the notion of Rota–Baxter operator on a group was defined by L.
Alexey Galt, Vsevolod Gubarev
doaj +1 more source
Rota-Baxter Operators on 3-Dimensional Lie Algebras and the Classical R-Matrices
Advances in Mathematical Physics, 2017 Our aim is to classify the Rota-Baxter operators of weight 0 on the 3-dimensional Lie algebra whose derived algebra’s dimension is 2. We explicitly determine all Rota-Baxter operators (of weight zero) on the 3-dimensional Lie algebras g.
Linli Wu, Mengping Wang, Yongsheng Cheng
doaj +1 more source