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Found 86 Documents (Results 1–86)

Algebraic aspects of connections: from torsion, curvature, and post-Lie algebras to Gavrilov’s double exponential and special polynomials. arXiv:2205.04381

Preprint, arXiv:2205.04381 [math.DG] (2022).
MSC:  53C05 17D25
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Algebraic background for numerical methods, control theory and renormalization. (English) Zbl 1493.16030

Makhlouf, Abdenacer (ed.), Algebra and applications 2. Combinatorial algebra and Hopf algebras. London: ISTE; Hoboken, NJ: John Wiley & Sons. Sciences, 1-53 (2021).
MSC:  16T05 05E16 17B38
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The universal pre-Lie-Rinehart algebras of aromatic trees. (English) Zbl 1487.17055

Baklouti, Ali (ed.) et al., Geometric and harmonic analysis on homogeneous spaces and applications. TJC 2019, Djerba, Selected papers based on the presentations at the 6th Tunisian-Japanese conference. In honor of Professor Takaaki Nomura. Tunisia, December 15–19, 2019. Cham: Springer. Springer Proc. Math. Stat. 366, 137-159 (2021).
MSC:  17D25 17A50
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Amplitudes, Hodge theory and ramification. From periods and motives to Feynman amplitudes. Lectures presented at the Clay Mathematics Institute 2014 summer school, “Periods and Motives: Feynman amplitudes in the 21st century”, Madrid, Spain, June 30 – July 25, 2014. (English) Zbl 1446.81001

Clay Mathematics Proceedings 21. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-1-4704-4329-0/pbk). xiv, 229 p. (2020).
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Arborified multiple zeta values. (English) Zbl 1459.11172

Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Based on the presentations at the research trimester on multiple zeta values, multiple polylogarithms, and quantum field theory, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 469-481 (2020).
MSC:  11M32 16T05 81T17
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Evaluating generating functions for periodic multiple polylogarithms via rational Chen-Fliess series. (English) Zbl 1456.11161

Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Based on the presentations at the research trimester on multiple zeta values, multiple polylogarithms, and quantum field theory, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 445-468 (2020).
MSC:  11M32 11G55
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Shuffle quadri-algebras and concatenation. (English) Zbl 1456.17002

Chapoton, Frédéric (ed.) et al., Algebraic combinatorics, resurgence, moulds and applications (CARMA). Volume 1. Berlin: European Mathematical Society (EMS). IRMA Lect. Math. Theor. Phys. 31, 1-27 (2020).
MSC:  17A30
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The Poisson characteristic variety of unitary irreducible representations of exponential Lie groups. (English) Zbl 1431.22010

Baklouti, Ali (ed.) et al., Geometric and harmonic analysis on homogeneous spaces. Selected papers of the 5th Tunisian-Japanese conference, PTJC 2017, Mahdia, Tunisia, December 17–21, 2017. Cham: Springer. Springer Proc. Math. Stat. 290, 207-217 (2019).
MSC:  22E27 81S10
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Resurgence, physics and numbers, Pisa, Italy, May 18–22, 2015. (English) Zbl 1381.81009

Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series 20. Pisa: Edizioni della Normale; Pisa: Scuola Normale Superiore (ISBN 978-88-7642-612-4/pbk; 978-88-7642-613-1/ebook). xi, 381 p. (2017).
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Five interpretations of Faà di Bruno’s formula. (English) Zbl 1355.16031

Ebrahimi-Fard, Kurusch (ed.) et al., Faà di Bruno Hopf algebras, Dyson-Schwinger equations, and Lie-Butcher series. Based on a conference hosted by IRMA, Strasbourg, France, June 27–July 1, 2011. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-143-9/pbk; 978-3-03719-643-4/ebook). IRMA Lectures in Mathematics and Theoretical Physics 21, 91-147 (2015).
MSC:  16T05 18D50 16-03
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A short survey on pre-Lie algebras. (English) Zbl 1278.17001

Carey, Alan (ed.), Noncommutative geometry and physics: Renormalisation, motives, index theory. Based on the workshop “Number theory and physics”, Vienna, Austria, March 2009. Edited with the assistance of Harald Grosse and Steve Rosenberg. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-008-1/pbk). ESI Lectures in Mathematics and Physics, 89-102 (2011).
MSC:  17A30 17D25
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Renormalised multiple zeta values which respect quasi-shuffle relations. (English) Zbl 1244.11076

Ebrahimi-Fard, Kurusch (ed.) et al., Combinatorics and physics. Mini-workshop on renormalization, December 15–16, 2006, Conference on combinatorics and physics, March 19–23, 2007, Bonn, Germany. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5329-0/pbk). Contemporary Mathematics 539, 255-267 (2011).
MSC:  11M32 16T05 81T15
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Renormalization in connected graded Hopf algebras: an introduction. (English) Zbl 1213.81174

Carey, Alan (ed.) et al., Motives, quantum field theory, and pseudodifferential operators. Based on lectures of the conference, Boston, MA, USA, June 2–13, 2008. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-5199-9/pbk). Clay Mathematics Proceedings 12, 73-95 (2010).
MSC:  81T15 16T05 81-02
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The combinatorics of Bogoliubov’s recursion in renormalization. (English) Zbl 1207.81081

Connes, Alain (ed.) et al., Renormalization and Galois theories. Selected papers of the CIRM workshop, Luminy, France, March 2006. Zürich: European Mathematical Society (ISBN 978-3-03719-073-9/pbk). IRMA Lectures in Mathematics and Theoretical Physics 15, 179-207 (2009).
MSC:  81T15 16T30 17B81
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