Results 101 to 110 of about 28,962 (144)
The combinatorial Hopf algebra of motivic dissection polylogarithms
Advances in Mathematics, 2014 We introduce a family of periods of mixed Tate motives called dissection polylogarithms, that are indexed by combinatorial objects called dissection diagrams. The motivic coproduct on the former is encoded by a combinatorial Hopf algebra structure on the latter.
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Entanglement entropy and edge modes in topological string theory. Part I. Generalized entropy for closed strings. [PDF]
J High Energy Phys, 2021 Donnelly W, Jiang Y, Kim M, Wong G.
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Combinatorial Hopf Algebras in (Noncommutative) Quantum Field Theory
, 2010 We briefly review the r le played by algebraic structures like combinatorial Hopf algebras in the renormalizability of (noncommutative) quantum field theory. After sketching the commutative case, we analyze the noncommutative Grosse-Wulkenhaar model.
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Cumulants, free cumulants and half-shuffles. [PDF]
Proc Math Phys Eng Sci, 2015 Ebrahimi-Fard K, Patras F.
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Quantum cluster algebras and quantum nilpotent algebras. [PDF]
Proc Natl Acad Sci U S A, 2014 Goodearl KR, Yakimov MT.
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Constructions and classifications of projective Poisson varieties. [PDF]
Lett Math Phys, 2018 Pym B.
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Markov Chains from Descent Operators on Combinatorial Hopf Algebras
, 2016 We develop a general theory for Markov chains whose transition probabilities are the coefficients of descent operators on combinatorial Hopf algebras. These model the breaking-then-recombining of combinational objects. Examples include the various card-shuffles of Diaconis, Fill and Pitman, Fulman's restriction-then-induction chains on the ...
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Canonicalizing Zeta Generators: Genus Zero and Genus One. [PDF]
Commun Math PhysDorigoni D +7 more
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Quantum-like behavior without quantum physics II. A quantum-like model of neural network dynamics. [PDF]
J Biol Phys, 2018 Selesnick SA, Piccinini G.
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