Results 51 to 60 of about 262,520 (170)

Cohomology of Graded Twisting of Hopf Algebras

Mathematics, 2023
Let A be a Hopf algebra and B a graded twisting of A by a finite abelian group Γ. Then, categories of comodules over A and B are equivalent (but they are not necessarily monoidally equivalent).
Xiaolan Yu, Jingting Yang
doaj   +1 more source

Network Reduction and Absence of Hopf Bifurcations in Dual Phosphorylation Networks With Three Intermediates

Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT We show that the removal of a type of reverse reactions preserves the absence of Hopf bifurcations in mass‐action reaction networks, or more precisely, the absence of single pairs of purely imaginary eigenvalues of the Jacobian of the system. The motivation is to answer the open question of whether the dual phosphorylation mechanism requiring ...
Elisenda Feliu, Nidhi Kaihnsa
wiley   +1 more source

A brief historical perspective of the Wiener-Hopf technique [PDF]

, 2007
It is a little over 75 years since two of the most important mathematicians of the 20th century collaborated on finding the exact solution of a particular equation with semi-infinite convolution type integral operator.
Lawrie, Jane B., Lawrie, JB, Abrahams, ID, Abrahams, I. David   +3 more
core   +3 more sources

The Hopf algebra structure of the R∗-operation

Journal of High Energy Physics, 2020
We give a Hopf-algebraic formulation of the R ∗ -operation, which is a canonical way to render UV and IR divergent Euclidean Feynman diagrams finite. Our analysis uncovers a close connection to Brown’s Hopf algebra of motic graphs.
Robert Beekveldt, Michael Borinsky, Franz Herzog   +2 more
doaj   +1 more source

A Hopf-power Markov chain on compositions [PDF]

Discrete Mathematics & Theoretical Computer Science, 2013
In a recent paper, Diaconis, Ram and I constructed Markov chains using the coproduct-then-product map of a combinatorial Hopf algebra. We presented an algorithm for diagonalising a large class of these "Hopf-power chains", including the Gilbert-Shannon ...
C.Y. Amy Pang
doaj   +1 more source

Nonamenable subforests of multi‐ended quasi‐pmp graphs

Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.
Abstract We prove the a.e. nonamenability of locally finite quasi‐pmp Borel graphs whose every component admits at least three nonvanishing ends with respect to the underlying Radon–Nikodym cocycle. We witness their nonamenability by constructing Borel subforests with at least three nonvanishing ends per component, and then applying Tserunyan and ...
Ruiyuan Chen, Grigory Terlov, Anush Tserunyan   +2 more
wiley   +1 more source

Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 13946-13970, August 2026.
ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal, Ana Jacinta Soares, Maria Joana Torres   +2 more
wiley   +1 more source

Classification of ideals of $8$-dimensional Radford Hopf algebra

, 2022
summary:Let $H_{m,n}$ be the $mn^2$-dimensional Radford Hopf algebra over an algebraically closed field of characteristic zero.
Wang, Yu
core   +1 more source

An elegant model of the geodesic flow on the modular surface

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract Caroline Series' [The modular surface and continued fractions, J. Lond. Math. Soc. (2), 31, no. 1, (1985), 69–80] gives a clear framework linking, in a deceptively simple way, the dynamics of the geodesic flow on the modular surface with the dynamics of the regular continued fraction, through a well‐chosen symbolic coding.
Pierre Arnoux, Thomas A. Schmidt
wiley   +1 more source

On some integral properties of dimensions in Isaacs fusion categories

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract For a fusion category, we prove some new integrality properties concerning the dimension of a simple object that generates an Isaacs fusion subcategory. If any such fusion subcategory is Isaacs, this implies that C$\mathcal {C}$ is a Frobenius‐type fusion category. A stronger divisibility result is proven for any modular fusion category.
Sebastian Burciu
wiley   +1 more source