Results 61 to 70 of about 816 (183)
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
Advanced Quantum Technologies, Volume 9, Issue 6, June 2026.ABSTRACT Recent advances at the intersection of quantum physics, neuroscience, and cognitive science have renewed interest in whether quantum phenomena and quantum‐inspired formalisms can inform models of human cognition and decision‐making. While classical neural and computational models explain many aspects of perception and behavior, they face ...
Hamidreza Namazi +3 more
wiley +1 more source
A Resource Efficient Ising Model‐Based Quantum Sudoku Solver
Software: Practice and Experience, Volume 56, Issue 6, Page 643-657, June 2026.ABSTRACT Background Quantum algorithms exploit superposition and parallelism to address complex combinatorial problems, many of which fall into the non‐polynomial (NP) class. Sudoku, a widely known logic‐based puzzle, is proven to be NP‐complete and thus presents a suitable testbed for exploring quantum optimization approaches.
Wen‐Li Wang +5 more
wiley +1 more source
British Journal of Educational Psychology, Volume 96, Issue 2, Page 945-967, June 2026.Abstract Background and Aims A vast body of theory and research highlights the operation of seriation as a prerequisite to mathematical thinking in young children. However, there is limited evidence that seriation interventions improve early years mathematics.
David Tzuriel, Dikla Hanuka‐Levi
wiley +1 more source
Pacific Philosophical Quarterly, Volume 107, Issue 2, Page 58-73, June 2026.ABSTRACT I develop an axiomatic system of mereology that accounts for the ways in which musical works can be said to have parts. I distinguish two fundamental modes of composition that musical works exhibit: successive composition, whereby sound events are concatenated in time, and simultaneous composition, whereby sound events occur at the same time ...
Alejandro G. Di Rienzo
wiley +1 more source
A general case of the commutativity degree of nilpotent p-groups of class two
, 2012 Given a finite group, the commutativity degree of the group is defined as the probability that two elements of the group, chosen randomly with replacement, commute.
Sarmin, Nor Haniza +10 more
core +1 more source
Isoclinism Classes and Commutativity Degrees of Finite Groups
Journal of Algebra, 1995 Let \(G\) be a finite group, and for \(n\geq 0\), define \[ d_n(G)=|G|^{-(n+1)}|\{(x_1,\dots,x_{n+1})\in G^{n+1}\mid[x_i,x_j]=1,\;1\leq i,j\leq n+1\}|. \] So, \(d_1(G)=d(G)\) is the probability that two elements chosen randomly from \(G\) (with replacement) commute [see the reviewer, Am. Math. Mon. 80, 1031-1034 (1973; Zbl 0276.60013)].
openaire +1 more source
The singularity category and duality for complete intersection groups
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley +1 more source
On the degree of commutativity of p-groups of maximal class
, 2011 The first major study of p-groups of maximal class was made by Blackburn in 1958. He showed that an important invariant parameter of these groups is its ‘degree of commutativity’, which is a measure of the commutativity among the members of the lower ...
Ormaetxea, L. +3 more
core +1 more source
On the cohomology of finite‐dimensional nilpotent groups and lie rings
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley +1 more source