Results 41 to 50 of about 44,390 (178)
Yang-Baxter maps and integrable dynamics [PDF]
, 2002 The hierarchy of commuting maps related to a set-theoretical solution of the quantum Yang-Baxter equation (Yang-Baxter map) is introduced. They can be considered as dynamical analogues of the monodromy and/or transfer-matrices.
Alexander Veselov (1259028)
core
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
Some Rank Formulas for the Yang-Baxter Matrix Equation
, 2021 Let A be an arbitrary square matrix, then equation AXA =XAX with unknown X is called Yang-Baxter matrix equation. It is difficult to find all the solutions of this equation for any given A.
Yonghong SHEN, Maolin LIANG, Lifang DAI
core +1 more source
Quantum Quasigroups and the Quantum Yang–Baxter Equation
Axioms, 2016 Quantum quasigroups are algebraic structures providing a general self-dual framework for the nonassociative extension of Hopf algebra techniques. They also have one-sided analogues, which are not self-dual.
Jonathan Smith
doaj +1 more source
Journal of Periodontal Research, EarlyView.Hydrogel‐based therapies have proven to be valuable tools to address the unique regeneration challenges of complex multi‐domain periodontal and craniofacial tissues. This review highlights and classifies clinically approved and emerging hydrogel therapies indicated for the regeneration of periodontal and craniofacial tissues.
Z. Gouveia +5 more
wiley +1 more source
Yang-Baxter equation and cryptography
, 2022 We find a method to construct iteratively from a non-degenerate involutive set-theoretic solution of the Yang-Baxter equation an infinite family of very large non-degenerate involutive set-theoretic solutions.
Chouraqui, Fabienne
core
R-Matrix and Baxter Q-Operators for the Noncompact SL(N,C) Invariant Spin Chain
Symmetry, Integrability and Geometry: Methods and Applications, 2006 The problem of constructing the SL(N,C) invariant solutions to the Yang-Baxter equation is considered. The solutions (R-operators) for arbitrarily principal series representations of SL(N,C) are obtained in an explicit form.
Sergey É. Derkachov +1 more
doaj
Majorana fermions solve the tetrahedron equations as well as higher simplex equations
Nuclear Physics BYang-Baxter equations define quantum integrable models. The tetrahedron and higher simplex equations are multi-dimensional generalizations. Finding the solutions of these equations is a formidable task.
Pramod Padmanabhan, Vladimir Korepin
doaj +1 more source
Engineered surface strategies to manage dental implant‐related infections
Periodontology 2000, EarlyView.Abstract When exposed to the oral environment, dental implants, like natural surfaces, become substrates for microbial adhesion and accumulation, often leading to implant‐related infections—one of the main causes of implant failure. These failures impose significant costs on patients, clinicians, and healthcare systems.
João Gabriel S. Souza +7 more
wiley +1 more source
Public Administration Review, EarlyView.ABSTRACT While public administration research has made important strides in understanding social capital, less is known about how its effects vary across populations and contexts. This study investigates how racial segregation and citizen ideology shape the relationship between community social capital and flu vaccination rates among White and Black ...
Jing Peng, Kaifeng Yang
wiley +1 more source