Results 1 to 10 of about 60 (60)
Benefits of Open Quantum Systems for Quantum Machine Learning
Advanced Quantum Technologies, EarlyView., 2023 Quantum machine learning (QML), poised to transform data processing, faces challenges from environmental noise and dissipation. While traditional efforts seek to combat these hindrances, this perspective proposes harnessing them for potential advantages. Surprisingly, under certain conditions, noise and dissipation can benefit QML.
María Laura Olivera‐Atencio +2 more
wiley +1 more source
Monogenic Functions in Commutative Algebras Associated with Classical Equations of Mathematical Physics [PDF]
Journal of Mathematical Sciences, 2019 The methods involving the functions analytic in a complex plane for plane potential fields inspire the search for the analogous efficient methods for solving the spatial and multidimensional problems of mathematical physics. Many such methods are based on the mappings of hypercomplex algebras.
openaire +3 more sources
European Congress of Mathematics Stockholm, June 27 – July 2, 2004 [PDF]
, 2005 A comprehensive review will be given about the rich mathematical structure of mean field spin glass theory, mostly developed, until now, in the frame of the methods of theoretical physics, based on deep physical intuition and hints coming from numerical simulation.
ALBERTI, GIOVANNI +2 more
openaire +27 more sources
Commutative Finitely Generated Algebras Satisfying $((yx)x)x=0$ are Solvable
Rocky Mountain Journal of Mathematics, 2009 3
Correa, Ivan, Hentzel, Irvin
openaire +12 more sources
A Sharper Ramsey Theorem for Constrained Drawings
Journal of Graph Theory, EarlyView.ABSTRACT Given a graph G $G$ and a collection C ${\mathscr{C}}$ of subsets of Rd ${{\mathbb{R}}}^{d}$ indexed by the subsets of vertices of G $G$, a constrained drawing of G $G$ is a drawing where each edge is drawn inside some set from C ${\mathscr{C}}$, in such a way that nonadjacent edges are drawn in sets with disjoint indices.
Pavel Paták
wiley +1 more source
A Dichotomy Theorem for Γ ${\rm{\Gamma }}$‐Switchable H $H$‐Colouring on m $m$‐Edge‐Coloured Graphs
Journal of Graph Theory, EarlyView.ABSTRACT Let G $G$ be a graph in which each edge is assigned one of the colours 1,2,…,m $1,2,\ldots ,m$, and let Γ ${\rm{\Gamma }}$ be a subgroup of Sm ${S}_{m}$. The operation of switching at a vertex x $x$ of G $G$ with respect to an element π $\pi $ of Γ ${\rm{\Gamma }}$ permutes the colours of the edges incident with x $x$ according to π $\pi $. We
Richard Brewster +2 more
wiley +1 more source
The 2‐divisibility of divisors on K3 surfaces in characteristic 2
Mathematische Nachrichten, EarlyView.Abstract We show that K3 surfaces in characteristic 2 can admit sets of n$n$ disjoint smooth rational curves whose sum is divisible by 2 in the Picard group, for each n=8,12,16,20$n=8,12,16,20$. More precisely, all values occur on supersingular K3 surfaces, with exceptions only at Artin invariants 1 and 10, while on K3 surfaces of finite height, only n=
Toshiyuki Katsura +2 more
wiley +1 more source
Where Mathematical Symbols Come From
Topics in Cognitive Science, EarlyView.Abstract There is a sense in which the symbols used in mathematical expressions and formulas are arbitrary. After all, arithmetic would be no different if we would replace the symbols ‘+$+$’ or ‘8’ by different symbols. Nevertheless, the shape of many mathematical symbols is in fact well motivated in practice.
Dirk Schlimm
wiley +1 more source
The homological spectrum via definable subcategories
Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1040-1064, April 2025.Abstract We develop an alternative approach to the homological spectrum of a tensor‐triangulated category through the lens of definable subcategories. This culminates in a proof that the homological spectrum is homeomorphic to a quotient of the Ziegler spectrum.
Isaac Bird, Jordan Williamson
wiley +1 more source
A comparison of Hochschild homology in algebraic and smooth settings
Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1249-1269, April 2025.Abstract Consider a complex affine variety V∼$\tilde{V}$ and a real analytic Zariski‐dense submanifold V$V$ of V∼$\tilde{V}$. We compare modules over the ring O(V∼)$\mathcal {O} (\tilde{V})$ of regular functions on V∼$\tilde{V}$ with modules over the ring C∞(V)$C^\infty (V)$ of smooth complex valued functions on V$V$.
David Kazhdan, Maarten Solleveld
wiley +1 more source