Frédéric Patras

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All published works

Action	Title	Year	Authors
+ PDF Chat	From Iterated Integrals and Chronological Calculus to Hopf and Rota–Baxter Algebras	2021	Kurusch E brahimi -F ard Frédéric Patras
+ PDF Chat	Cumulant–Cumulant Relations in Free Probability Theory from Magnus’ Expansion	2021	Adrián Celestino Kurusch Ebrahimi‐Fard Frédéric Patras Daniel Perales
+ PDF Chat	A group-theoretical approach to conditionally free cumulants	2020	Kurusch Ebrahimi‐Fard Frédéric Patras
+	On Non-commutative Stochastic Exponentials	2019	Charles Curry Kurusch Ebrahimi‐Fard Frédéric Patras
+	From iterated integrals and chronological calculus to Hopf and Rota-Baxter algebras	2019	Kurusch Ebrahimi–Fard Frédéric Patras
+ PDF Chat	Flows and stochastic Taylor series in Itô calculus	2015	Kurusch Ebrahimi–Fard Simon J. A. Malham Frédéric Patras Anke Wiese
+ PDF Chat	Cumulants, free cumulants and half-shuffles	2015	Kurusch Ebrahimi–Fard Frédéric Patras
+ PDF Chat	The Pre-Lie Structure of the Time-Ordered Exponential	2014	Kurusch Ebrahimi‐Fard Frédéric Patras
+ PDF Chat	Lie theory for quasi-shuffle bialgebras	2014	Loïc Foissy Frédéric Patras
+	Rota-Baxter Algebra. The Combinatorial Structure of Integral Calculus	2013	Kurusch Ebrahimi–Fard Frédéric Patras
+ PDF Chat	One-particle irreducibility with initial correlations	2011	Christian Brouder Frédéric Patras
+ PDF Chat	A noncommutative Bohnenblust–Spitzer identity for Rota–Baxter algebras solves Bogoliubov’s recursion	2009	Kurusch Ebrahimi‐Fard Dominique Manchon Frédéric Patras

Common Coauthors

Coauthor	Papers Together
Kurusch Ebrahimi–Fard	9
Dominique Manchon	1
Daniel Perales	1
Christian Brouder	1
Simon J. A. Malham	1
Adrián Celestino	1
Charles Curry	1
Loïc Foissy	1
Anke Wiese	1
Kurusch E brahimi -F ard	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Free Lie Algebras	1993	Christophe Reutenauer	7
+	On the exponential solution of differential equations for a linear operator	1954	Wilhelm Magnus	7
+ PDF Chat	A short survey on pre-Lie algebras	2011	Dominique Manchon	6
+ PDF Chat	Renormalization in Quantum Field Theory and the Riemann-Hilbert Problem I: The Hopf Algebra Structure of Graphs and the Main Theorem	2000	Alain Connes Dirk Kreimer	5
+ PDF Chat	A Magnus- and Fer-Type Formula in Dendriform Algebras	2008	Kurusch Ebrahimi‐Fard Dominique Manchon	5
+	On the structure of free baxter algebras	1972	Pierre Cartier	5
+	Noncommutative Symmetrical Functions	1995	Israel M. Gelfand D. Krob Alain Lascoux Bruno Leclerc Vladimir Retakh Jean-Yves Thibon	5
+	Pre-Lie algebras and the rooted trees operad	2001	Frédéric Chapoton Muriel Livernet	5
+ PDF Chat	A Lie Theoretic Approach to Renormalization	2007	Kurusch Ebrahimi‐Fard José M. Gracia-Bondía Frédéric Patras	4
+ PDF Chat	The Pre-Lie Structure of the Time-Ordered Exponential	2014	Kurusch Ebrahimi‐Fard Frédéric Patras	4
+ PDF Chat	An analytic problem whose solution follows from a simple algebraic identity	1960	Glen Baxter	4
+	The Campbell-Baker-Hausdorff-Dynkin formula and solutions of differential equations	1987	Robert S. Strichartz	4
+ PDF Chat	Bidendriform bialgebras, trees, and free quasi-symmetric functions	2006	Loïc Foissy	4
+ PDF Chat	Chen’s iterated integral represents the operator product expansion	1999	Dirk Kreimer	4
+ PDF Chat	Baxter algebras and combinatorial identities. II	1969	Gian‐Carlo Rota	4
+	A Combinatorial Lemma and its Application to Probability Theory	1991	Frank Spitzer	4
+	Sur une propriété combinatoire des algèbres de Lie libres pouvant être utilisée dans un problème de mathématiques appliquées	1959	Marcel Paul Schützenberger	3
+	Loday-type Algebras and the Rota-Baxter Relation	2002	Kurusch Ebrahimi‐Fard	3
+ PDF Chat	A one-parameter family of dendriform identities	2008	Jean-Christophe Novelli Jean‐Yves Thibon	3
+ PDF Chat	Combinatorics of the Free Baxter Algebra	2006	Marcelo Aguiar Wálter Moreira	3
+	Some aspects of Baxter's functional equation	1963	F. V. Atkinson	3
+ PDF Chat	On the Hopf algebra structure of perturbative quantum field theories	1998	Dirk Kreimer	3
+	Free Lie Algebras	1993	Christophe Reutenauer	3
+ PDF Chat	ENVELOPING ALGEBRAS OF PRELIE ALGEBRAS, SOLOMON IDEMPOTENTS AND THE MAGNUS FORMULA	2013	Frédéric Chapoton Frédéric Patras	3
+	Lectures on the Combinatorics of Free Probability	2006	Alexandru Nica Roland Speicher	3
+	On the Groups H(Π, n), I	1953	Samuel Eilenberg Saunders Mac Lane	3
+ PDF Chat	None	2000	Michael E. Hoffman	3
+	Un théorème de Cartier–Milnor–Moore–Quillen pour les bigèbres dendriformes et les algèbres braces	2002	Frédéric Chapoton	3
+	Pre-Lie algebras and the rooted trees operad	2000	Frédéric Chapoton Muriel Livernet	3
+	Noncommutative symmetric functions	1994	Israel M. Gelfand Daniel Krob Alain Lascoux Bernard Leclerc Vladimir Retakh Jean-Yves Thibon	3
+ PDF Chat	Algebras of iterated path integrals and fundamental groups	1971	Kuo-tsai Chen	3
+ PDF Chat	Rota–Baxter Algebras and New Combinatorial Identities	2007	Ebrahimi-Fard Kurusch José M. Gracia-Bondía Frédéric Patras	3
+	None	2000	Marcelo Aguiar	3
+	Combinatorial approach to Baker-Campbell-Hausdorff exponents	1970	Bogdan Mielnik Jerzy Plebański	3
+ PDF Chat	FREE ROTA–BAXTER ALGEBRAS AND ROOTED TREES	2008	Kurusch Ebrahimi–Fard Li Guo	3
+	Duality between Quasi-Symmetrical Functions and the Solomon Descent Algebra	1995	Claudia Malvenuto Christophe Reutenauer	3
+	Feynman graph representation of the perturbation series for general functional measures	2005	Sidi Hamidou Djah Hanno Gottschalk Habib Ouerdiane	2
+ PDF Chat	Renormalization in Quantum Field Theory and the Riemann--Hilbert Problem II: The β-Function, Diffeomorphisms and the Renormalization Group	2001	Alain Connes Dirk Kreimer	2
+	A short survey on pre-Lie algebras	2011	Dominique Manchon	2
+ PDF Chat	Renormalization of Gauge Fields: A Hopf Algebra Approach	2007	Walter D. van Suijlekom	2
+ PDF Chat	Left-symmetric algebras, or pre-Lie algebras in geometry and physics	2006	Dietrich Burde	2
+	Hopf-algebraic structure of families of trees	1989	Robert L. Grossman Richard G. Larson	2
+ PDF Chat	Hyperoctahedral Chen calculus for effective Hamiltonians	2009	Christian Brouder Frédéric Patras	2
+	Decent Algebra of a Graduated Bigebra	1994	Frédéric Patras	2
+	An algebraic approach to nonlinear functional expansions	1983	Michel Fliess M. Lamnabhi Françoise Lamnabhi‐Lagarrigue	2
+ PDF Chat	Multiplicative Decomposition of Non-Singular Matrix Valued Continuous Semimartingales	1982	Rajeeva L. Karandikar	2
+	A Primer of Hopf Algebras	2007	Pierre Cartier	2
+ PDF Chat	A rooted-trees<i>q</i>-series lifting a one-parameter family of Lie idempotents	2009	Frédéric Chapoton	2
+ PDF Chat	Lévy processes and quasi-shuffle algebras	2014	Charles Curry Kurusch Ebrahimi–Fard Simon J. A. Malham Anke Wiese	2
+ PDF Chat	Hopf Algebras, Renormalization and Noncommutative Geometry	1998	Alain Connes Dirk Kreimer	2