Results 1 to 10 of about 120 (113)
Markov Property and Operads [PDF]
Entropy, 2004 We define heat kernel measure on punctured spheres. The random field which is got by this procedure is not Gaussian. We define a stochastic line bundle on the loop space, such that the punctured sphere corresponds to a generalized parallel transport on ...
Leandre Rémi
exaly +5 more sources
Entropy as a Topological Operad Derivation [PDF]
Entropy, 2021 We share a small connection between information theory, algebra, and topology—namely, a correspondence between Shannon entropy and derivations of the operad of topological simplices.
Tai-Danae Bradley
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On the equivalence of Lurie's ∞$\infty$‐operads and dendroidal ∞$\infty$‐operads
Journal of TopologyAbstractIn this paper, we prove the equivalence of two symmetric monoidal ‐categories of ‐operads, the one defined in Lurie [Higher algebra, available at the author's homepage, http://math.ias.edu/~lurie/, September 2017 version] and the one based on dendroidal spaces.
Hinich, Vladimir, Moerdijk, Ieke
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Models for the n‐Swiss Cheese operads
Transactions of the London Mathematical Society, 2021 We describe combinatorial Hopf (co‐)operadic models for the Swiss Cheese operads built from Feynman diagrams. This extends previous work of Kontsevich and Lambrechts‐Volić for the little disks operads.
Thomas Willwacher
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On the non-Koszulity of ternary partially associative operad; pp. 355–363 [PDF]
Proceedings of the Estonian Academy of Sciences, 2010 We prove that the operad for ternary partially associative algebras is non Koszul. The aim is to underline the problem of computing the dual operad when we consider quadratic operad for n-ary algebras in particular when n is odd. In fact, the dual operad
Elisabeth Remm
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Constructing combinatorial operads from monoids [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We introduce a functorial construction which, from a monoid, produces a set-operad. We obtain new (symmetric or not) operads as suboperads or quotients of the operad obtained from the additive monoid. These involve various familiar combinatorial objects:
Samuele Giraudo
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An Index for Graphs and Graph Groupoids
Axioms, 2022 In this paper, we consider certain quantities that arise in the images of the so-called graph-tree indexes of graph groupoids. In text, the graph groupoids are induced by connected finite-directed graphs with more than one vertex.
Ilwoo Cho, Palle Jorgensen
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Simplicial Operads and ∞-Operads
, 2022 AbstractIn this final chapter we fulfil one of the main promises of this book, namely we prove that the homotopy theory of ∞-operads is equivalent to that of simplicial (or topological) operads. To prepare for this, Sections 14.1 and 14.2 establish some rather classical material on the homotopy theory of simplicial categories, most of it going back to ...
Gijs Heuts, Ieke Moerdijk
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Communications in Mathematics, 2022 An algebra with identities (a, b, c) = (a, c, b) = (b, a, c) is called assosymmetric, where (x, y, z) = x(yz) − (xy)z is associator. We establish that operad of assosymmetric algebras is not Koszul. We study Sn-module, An-module and GLn-module structures on multilinear parts of assosymmetric operad.
Zhakhayev, Bekzat +2 more
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