Results 31 to 40 of about 22,097 (141)

The Index of (White) Noises and their Product Systems

, 2006
(See detailed abstract in the article.) We single out the correct class of spatial product systems (and the spatial endomorphism semigroups with which the product systems are associated) that allows the most far reaching analogy in their classifiaction ...
Arveson W., Arveson W., Bhat B. V. R., Bhat B. V. R., Christensen E., Hirshberg I., MICHAEL SKEIDE, Muhly P. S., Muhly P. S., Paschke W. L., Powers R. T., Skeide M., Skeide M., Skeide M., Skeide M., Speicher R., Voiculescu D.   +16 more
core   +1 more source

Growth problems in diagram categories

Bulletin of the London Mathematical Society, EarlyView.
Abstract In the semisimple case, we derive (asymptotic) formulas for the growth rate of the number of summands in tensor powers of the generating object in diagram/interpolation categories.
Jonathan Gruber, Daniel Tubbenhauer
wiley   +1 more source

Automorphisms of Curves and Weierstrass semigroups for Harbater-Katz-Gabber covers [PDF]

, 2017
We study $p$-group Galois covers $X \rightarrow \mathbb{P}^1$ with only one fully ramified point. These covers are important because of the Katz-Gabber compactification of Galois actions on complete local rings.
Karanikolopoulos, Sotiris, Kontogeorgis, Aristides   +1 more
core  

Markov semigroups, monoids, and groups

, 2012
A group is Markov if it admits a prefix-closed regular language of unique representatives with respect to some generating set, and strongly Markov if it admits such a language of unique minimal-length representatives over every generating set. This paper
Alan J. Cain, Clifford A. H., Grigorchuk R. I., Hopcroft J. E., Howie J. M., Malcev A. I., Markov A., Rosales J. C., Rédei L., Victor Maltcev   +9 more
core   +1 more source

Is every product system concrete?

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract Is every product system of Hilbert spaces over a semigroup P$P$ concrete, that is, isomorphic to the product system of an E0$E_0$‐semigroup over P$P$? The answer is no if P$P$ is discrete, cancellative and does not embed in a group. However, we show that the answer is yes for a reasonable class of semigroups.
S. Sundar
wiley   +1 more source

Diffusion determines the recurrent graph [PDF]

, 2014
We consider diffusion on discrete measure spaces as encoded by Markovian semigroups arising from weighted graphs. We study whether the graph is uniquely determined if the diffusion is given up to order isomorphism.
Keller, Matthias, Lenz, Daniel, Schmidt, Marcel, Wirth, Melchior   +3 more
core  

Commuting Pairs in Quasigroups

Journal of Combinatorial Designs, Volume 33, Issue 11, Page 418-427, November 2025.
ABSTRACT A quasigroup is a pair ( Q , ∗ ), where Q is a nonempty set and ∗ is a binary operation on Q such that for every ( a , b ) ∈ Q 2, there exists a unique ( x , y ) ∈ Q 2 such that a ∗ x = b = y ∗ a. Let ( Q , ∗ ) be a quasigroup. A pair ( x , y ) ∈ Q 2 is a commuting pair of ( Q , ∗ ) if x ∗ y = y ∗ x.
Jack Allsop, Ian M. Wanless
wiley   +1 more source

Semigroups of $sl_3(\mathbb{C})$ tensor product invariants

, 2016
We compute presentations for a family of semigroup algebras related to the problem of decomposing $sl_3(\mathbb{C})$ tensor products. Along the way we find new toric degenerations of the Grassmannian variety $Gr_3(\mathbb{C}^n)$ which $T-$invariant for ...
4ti2 team, Berenstein, Berenstein, Christopher Manon, Derksen, Dolgachev, Gleizer, Howard, Knutson, Kumar, Lusztig, Manon, Miller, Speyer, Zhengyuan Zhou   +14 more
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Quasilinear Degenerate Evolution Systems Modelling Biofilm Growth: Well‐Posedness and Qualitative Properties

Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 14890-14908, 15 November 2025.
ABSTRACT We analyze nonlinear degenerate coupled partial differential equation (PDE)‐PDE and PDE‐ordinary differential equation (ODE) systems that arise, for example, in the modelling of biofilm growth. One of the equations, describing the evolution of a biomass density, exhibits degenerate and singular diffusion.
K. Mitra, S. Sonner
wiley   +1 more source

Effective Theories for Circuits and Automata

, 2012
ing an effective theory from a complicated process is central to the study of complexity. Even when the underlying mechanisms are understood, or at least measurable, the presence of dissipation and irreversibility in biological, computational and social ...
Calvin W. H., Dassow J., Eilenberg S., Lau D., Pippenger N., Post E. L., Rhodes J., Schneier B., Simon DeDeo, von Neumann J.   +9 more
core   +1 more source