Sufficient Conditions for Labelled 0-1 Laws

Autor: Stanley Burris, Karen Yeats

Publikováno v: Discrete Mathematics & Theoretical Computer Science, Vol 10, Iss 1 (2008)

If F(x) = e G(x), where F(x) = Σf(n)x n and G(x) = Σg(n)x n, with 0≤g(n) = O(n θn /n!), θ∈(0,1), and gcd(n: g(n) >0)=1, then f(n)= o(f(n-1)). This gives an answer to Compton's request in Question 8.3 [Compton 1987] for an ``easily verifiable

Externí odkaz: https://doaj.org/article/0b9a4531114440a5bf578d061d2e0ff8

c2 Invariants of Hourglass Chains via Quadratic Denominator Reduction

Autor: Oliver Schnetz, t Erlangen-N, Friedrich-Alexander-Universit, Karen Yeats

Publikováno v: Symmetry, Integrability and Geometry: Methods and Applications.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::541705fda2319213a48c280d72a3855b
https://doi.org/10.3842/sigma.2021.100

Bijections between Łukasiewicz Walks and Generalized Tandem Walks

Autor: Karen Yeats, Frédéric Chyzak

Publikováno v: The Electronic Journal of Combinatorics. 27

In this article, we study the enumeration by length of several walk models on the square lattice. We obtain bijections between walks in the upper half-plane returning to the $x$-axis and walks in the quarter plane. A recent work by Bostan, Chyzak, an

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af1b352fade9ce144dad077148e12702
https://doi.org/10.37236/8261

Next-to$^k$ leading log expansions by chord diagrams

Autor: Karen Yeats, Julien Courtiel

Publikováno v: Communications in Mathematical Physics
Communications in Mathematical Physics, Springer Verlag, 2020, 377, pp.469-501. ⟨10.1007/s00220-020-03691-7⟩
Commun.Math.Phys.
Commun.Math.Phys., 2020, 377 (1), pp.469-501. ⟨10.1007/s00220-020-03691-7⟩

Green functions in a quantum field theory can be expanded as bivariate series in the coupling and a scale parameter. The leading logs are given by the main diagonal of this expansion, i.e. the subseries where the coupling and the scale parameter appe

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6877413c528dd7d9457692e46b35a55f
https://hal.archives-ouvertes.fr/hal-02153783

Compatible cycles and CHY integrals

Autor: Samuel Yusim, Karen Yeats, Freddy Cachazo

Publikováno v: Journal of High Energy Physics
Journal of High Energy Physics, Vol 2019, Iss 12, Pp 1-21 (2019)

The CHY construction naturally associates a vector in $\mathbb{R}^{(n-3)!}$ to every 2-regular graph with $n$ vertices. Partial amplitudes in the biadjoint scalar theory are given by the inner product of vectors associated with a pair of cycles. In t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1807ed8b0e1045e2b9dabac25e62d74e
http://repo.scoap3.org/api