Combinatorics of Polymer-Based Models of Early Metabolism

Autor: Mike Steel, Jotun Hein, Oliver Weller-Davies

Publikováno v: SIAM Journal on Discrete Mathematics. 35:2304-2316

Polymer models are a widely used tool to study the prebiotic formation of metabolism at the origins of life. Counts of the number of reactions in these models are often crucial in probabilistic arg...

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https://doi.org/10.1137/20m1324429

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From Möbius inversion to renormalisation

Autor: Joachim Kock

Publikováno v: Communications in Number Theory and Physics. 14:171-198

This paper traces a straight line from classical M\"obius inversion to Hopf-algebraic perturbative renormalisation. This line, which is logical but not entirely historical, consists of just a few main abstraction steps, and some intermediate steps dw

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::56f98bde3839a98acac101b2900ca8a4
https://doi.org/10.4310/cntp.2020.v14.n1.a3

Arithmetic summable sequence space over non-Newtonian field

Autor: Bipan Hazarika, Taja Yaying

Publikováno v: Afrika Matematika. 31:263-272

In this article, we introduce the sequence spaces AS(G) and AC(G) of arithmetic summable and arithmetic convergent sequences, respectively, suggested by the geometric sum as k ranges over the divisors of m. We further obtain an analogous of Mobius in

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https://doi.org/10.1007/s13370-019-00722-y

Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations

Autor: Joachim Kock, Frédéric Patras, Loïc Foissy, Kurusch Ebrahimi-Fard

Publikováno v: Advances in Mathematics
Advances in Mathematics, 2020, 369, pp.107170. ⟨10.1016/j.aim.2020.107170⟩
Advances in Mathematics, Elsevier, 2020, 369, pp.107170. ⟨10.1016/j.aim.2020.107170⟩
HAL

We establish and explore a relationship between two approaches to moment-cumulant relations in free probability theory: on one side the main approach, due to Speicher, given in terms of M\"obius inversion on the lattice of noncrossing partitions, and

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d7cd299865ce99814f042cdf1e0b475d
https://hal.science/hal-02375984