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Paycha, Sylvie

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Author ID: paycha.sylvie Recent zbMATH articles by "Paycha, Sylvie"
Published as: Paycha, S.; Paycha, Sylvie
Homepage: http://www.math.uni-potsdam.de/~paycha/paycha/Home.html
External Links: MGP · Wikidata · ResearchGate · GND
Documents Indexed: 81 Publications since 1988, including 20 Books

Publications by Year

Citations contained in zbMATH

42 Publications have been cited 201 times in 126 Documents Cited by Year
Nested sums of symbols and renormalized multiple zeta values. Zbl 1206.11108
Manchon, Dominique; Paycha, Sylvie
22
2010
A Laurent expansion for regularized integrals of holomorphic symbols. Zbl 1125.58009
Paycha, Sylvie; Scott, Simon
20
2007
Weighted traces on algebras of pseudo-differential operators and geometry on loop groups. Zbl 1134.58303
Cardona, A.; Ducourtioux, C.; Magnot, J. P.; Paycha, S.
14
2002
The canonical trace and the noncommutative residue on the noncommutative torus. Zbl 1337.58005
Lévy, Cyril; Jiménez, Carolina Neira; Paycha, Sylvie
12
2016
Regularised integrals, sums and traces. An analytic point of view. Zbl 1272.11103
Paycha, Sylvie
12
2012
Renormalized traces as a looking glass into infinite-dimensional geometry. Zbl 1039.58022
Paycha, Sylvie
12
2001
Algebraic Birkhoff factorization and the Euler-Maclaurin formula on cones. Zbl 1373.52020
Guo, Li; Paycha, Sylvie; Zhang, Bin
10
2017
Uniqueness of multiplicative determinants on elliptic pseudodifferential operators. Zbl 1193.58018
Lescure, Jean-Marie; Paycha, Sylvie
8
2007
From tracial anomalies to anomalies in quantum field theory. Zbl 1037.81089
Cardona, Alexander; Ducourtioux, Catherine; Paycha, Sylvie
8
2003
Shuffle relations for regularised integrals of symbols. Zbl 1114.58007
Manchon, Dominique; Paycha, Sylvie
7
2007
A mathematical introduction to string theory. Variational problems, geometric and probabilistic methods. Zbl 0882.53056
Albeverio, Sergio; Jost, Jürgen; Paycha, Sylvie; Scarlatti, Sergio
7
1997
Traces and characteristic classes on loop spaces. Zbl 1064.58023
Paycha, Sylvie; Rosenberg, Steven
6
2004
Regularisable and minimal orbits for group actions in infinite dimensions. Zbl 0938.58008
Arnaudon, M.; Paycha, S.
5
1998
Conical zeta values and their double subdivision relations. Zbl 1294.11145
Guo, Li; Paycha, Sylvie; Zhang, Bin
4
2014
Curvature on determinant bundles and first Chern forms. Zbl 1028.58030
Paycha, Sylvie; Rosenberg, Steven
4
2003
Stochastic tools on Hilbert manifolds: Interplay with geometry and physics. Zbl 0888.58004
Arnaudon, M.; Paycha, S.
4
1997
A global and stochastic analysis approach to bosonic strings and associated quantum fields. Zbl 0755.60039
Albeverio, Sergio; Høegh-Krohn, Raphael; Paycha, Sylvie; Scarlatti, Sergio
4
1992
An algebraic formulation of the locality principle in renormalisation. Zbl 07073688
Clavier, Pierre; Guo, Li; Paycha, Sylvie; Zhang, Bin
3
2019
Traces of holomorphic families of operators on the noncommutative torus and on Hilbert modules. Zbl 1339.58013
Azzali, Sara; Lévy, Cyril; Neira-Jiménez, Carolina; Paycha, Sylvie
3
2015
Renormalization by Birkhoff-Hopf factorization and by generalized evaluators: a case study. Zbl 1253.81118
Guo, Li; Paycha, Sylvie; Zhang, Bin
3
2011
Double shuffle relations and renormalization of multiple zeta values. Zbl 1233.11093
Guo, Li; Paycha, Sylvie; Xie, Bingyong; Zhang, Bin
3
2010
Chern-Weil forms associated with superconnections. Zbl 1119.58013
Paycha, Sylvie; Scott, Simon
3
2006
Renormalized Laplacians on a class of Hilbert manifolds and a Bochner-Weitzenböck type formula for current groups. Zbl 1032.58019
Arnaudon, Marc; Belopolskaya, Yana; Paycha, Sylvie
3
2000
A probability measure for random surfaces of arbitrary genus and bosonic strings in 4 dimensions. Zbl 0959.81582
Albeverio, Sergio; Høegh-Krohn, Raphael; Paycha, Sylvie; Scarlatti, Sergio
3
1989
The logarithmic residue density of a generalized Laplacian. Zbl 1229.58023
Mickelsson, Jouko; Paycha, Sylvie
2
2011
Renormalised Chern-Weil forms associated with families of Dirac operators. Zbl 1120.58018
Mickelsson, Jouko; Paycha, Sylvie
2
2007
Zeta-regularized traces versus the Wodzicki residue as tools in quantum field theory and infinite dimensional geometry. Zbl 1107.58005
Paycha, Sylvie
2
2004
Renormalisation and locality: branched zeta values. Zbl 1439.11219
Clavier, Pierre; Guo, Li; Paycha, Sylvie; Zhang, Bin
1
2020
Locality and renormalization: universal properties and integrals on trees. Zbl 1439.81078
Clavier, Pierre; Guo, Li; Paycha, Sylvie; Zhang, Bin
1
2020
Renormalised conical zeta values. Zbl 1430.11118
Guo, Li; Paycha, Sylvie; Zhang, Bin
1
2017
Paths towards an extension of Chern-Weil calculus to a class of infinite dimensional vector bundles. Zbl 1292.58018
Paycha, Sylvie
1
2013
Affine transformations on symbols. Zbl 1325.58015
Paycha, Sylvie
1
2012
Noncommutative formal Taylor expansions and second quantised regularised traces. Zbl 1227.81220
Paycha, Sylvie
1
2011
A canonical trace associated with certain spectral triples. Zbl 1219.58014
Paycha, Sylvie
1
2010
Motives, quantum field theory, and pseudodifferential operators. Based on lectures of the conference, Boston, MA, USA, June 2–13, 2008. Zbl 1205.00080
Carey, Alan (ed.); Ellwood, David (ed.); Paycha, Sylvie (ed.); Rosenberg, Steven (ed.)
1
2010
Preface. Zbl 1192.00070
Paycha, S. (ed.); Hobbs, C. A. (ed.)
1
2010
Geometric and topological methods for quantum field theory. Proceedings of the summer school, Villa de Leyva, Colombia, July 11–29, 2005. Zbl 1116.00013
Paycha, S. (ed.); Uribe, B. (ed.)
1
2007
Conformal anomalies via canonical traces. Zbl 1140.58009
Paycha, Sylvie; Rosenberg, Steven
1
2006
About infinite-dimensional Lie group actions and determinant bundles. Zbl 0930.53026
Paycha, Sylvie; Rosenberg, Steven
1
1998
Factorisation of semi-martingales on principal fibre bundles and the Faddeev-Popov procedure in gauge theories. Zbl 0853.58110
Arnaudon, M.; Paycha, S.
1
1995
The Faddeev-Popov procedure and application to bosonic strings: An infinite dimensional point of view. Zbl 0758.53063
Paycha, S.
1
1992
A short overview of mathematical approaches to functional integration. Zbl 0706.58080
Albeverio, Sergio; Paycha, Sylvie; Scarlatti, Sergio
1
1989
Renormalisation and locality: branched zeta values. Zbl 1439.11219
Clavier, Pierre; Guo, Li; Paycha, Sylvie; Zhang, Bin
1
2020
Locality and renormalization: universal properties and integrals on trees. Zbl 1439.81078
Clavier, Pierre; Guo, Li; Paycha, Sylvie; Zhang, Bin
1
2020
An algebraic formulation of the locality principle in renormalisation. Zbl 07073688
Clavier, Pierre; Guo, Li; Paycha, Sylvie; Zhang, Bin
3
2019
Algebraic Birkhoff factorization and the Euler-Maclaurin formula on cones. Zbl 1373.52020
Guo, Li; Paycha, Sylvie; Zhang, Bin
10
2017
Renormalised conical zeta values. Zbl 1430.11118
Guo, Li; Paycha, Sylvie; Zhang, Bin
1
2017
The canonical trace and the noncommutative residue on the noncommutative torus. Zbl 1337.58005
Lévy, Cyril; Jiménez, Carolina Neira; Paycha, Sylvie
12
2016
Traces of holomorphic families of operators on the noncommutative torus and on Hilbert modules. Zbl 1339.58013
Azzali, Sara; Lévy, Cyril; Neira-Jiménez, Carolina; Paycha, Sylvie
3
2015
Conical zeta values and their double subdivision relations. Zbl 1294.11145
Guo, Li; Paycha, Sylvie; Zhang, Bin
4
2014
Paths towards an extension of Chern-Weil calculus to a class of infinite dimensional vector bundles. Zbl 1292.58018
Paycha, Sylvie
1
2013
Regularised integrals, sums and traces. An analytic point of view. Zbl 1272.11103
Paycha, Sylvie
12
2012
Affine transformations on symbols. Zbl 1325.58015
Paycha, Sylvie
1
2012
Renormalization by Birkhoff-Hopf factorization and by generalized evaluators: a case study. Zbl 1253.81118
Guo, Li; Paycha, Sylvie; Zhang, Bin
3
2011
The logarithmic residue density of a generalized Laplacian. Zbl 1229.58023
Mickelsson, Jouko; Paycha, Sylvie
2
2011
Noncommutative formal Taylor expansions and second quantised regularised traces. Zbl 1227.81220
Paycha, Sylvie
1
2011
Nested sums of symbols and renormalized multiple zeta values. Zbl 1206.11108
Manchon, Dominique; Paycha, Sylvie
22
2010
Double shuffle relations and renormalization of multiple zeta values. Zbl 1233.11093
Guo, Li; Paycha, Sylvie; Xie, Bingyong; Zhang, Bin
3
2010
A canonical trace associated with certain spectral triples. Zbl 1219.58014
Paycha, Sylvie
1
2010
Motives, quantum field theory, and pseudodifferential operators. Based on lectures of the conference, Boston, MA, USA, June 2–13, 2008. Zbl 1205.00080
Carey, Alan (ed.); Ellwood, David (ed.); Paycha, Sylvie (ed.); Rosenberg, Steven (ed.)
1
2010
Preface. Zbl 1192.00070
Paycha, S. (ed.); Hobbs, C. A. (ed.)
1
2010
A Laurent expansion for regularized integrals of holomorphic symbols. Zbl 1125.58009
Paycha, Sylvie; Scott, Simon
20
2007
Uniqueness of multiplicative determinants on elliptic pseudodifferential operators. Zbl 1193.58018
Lescure, Jean-Marie; Paycha, Sylvie
8
2007
Shuffle relations for regularised integrals of symbols. Zbl 1114.58007
Manchon, Dominique; Paycha, Sylvie
7
2007
Renormalised Chern-Weil forms associated with families of Dirac operators. Zbl 1120.58018
Mickelsson, Jouko; Paycha, Sylvie
2
2007
Geometric and topological methods for quantum field theory. Proceedings of the summer school, Villa de Leyva, Colombia, July 11–29, 2005. Zbl 1116.00013
Paycha, S. (ed.); Uribe, B. (ed.)
1
2007
Chern-Weil forms associated with superconnections. Zbl 1119.58013
Paycha, Sylvie; Scott, Simon
3
2006
Conformal anomalies via canonical traces. Zbl 1140.58009
Paycha, Sylvie; Rosenberg, Steven
1
2006
Traces and characteristic classes on loop spaces. Zbl 1064.58023
Paycha, Sylvie; Rosenberg, Steven
6
2004
Zeta-regularized traces versus the Wodzicki residue as tools in quantum field theory and infinite dimensional geometry. Zbl 1107.58005
Paycha, Sylvie
2
2004
From tracial anomalies to anomalies in quantum field theory. Zbl 1037.81089
Cardona, Alexander; Ducourtioux, Catherine; Paycha, Sylvie
8
2003
Curvature on determinant bundles and first Chern forms. Zbl 1028.58030
Paycha, Sylvie; Rosenberg, Steven
4
2003
Weighted traces on algebras of pseudo-differential operators and geometry on loop groups. Zbl 1134.58303
Cardona, A.; Ducourtioux, C.; Magnot, J. P.; Paycha, S.
14
2002
Renormalized traces as a looking glass into infinite-dimensional geometry. Zbl 1039.58022
Paycha, Sylvie
12
2001
Renormalized Laplacians on a class of Hilbert manifolds and a Bochner-Weitzenböck type formula for current groups. Zbl 1032.58019
Arnaudon, Marc; Belopolskaya, Yana; Paycha, Sylvie
3
2000
Regularisable and minimal orbits for group actions in infinite dimensions. Zbl 0938.58008
Arnaudon, M.; Paycha, S.
5
1998
About infinite-dimensional Lie group actions and determinant bundles. Zbl 0930.53026
Paycha, Sylvie; Rosenberg, Steven
1
1998
A mathematical introduction to string theory. Variational problems, geometric and probabilistic methods. Zbl 0882.53056
Albeverio, Sergio; Jost, Jürgen; Paycha, Sylvie; Scarlatti, Sergio
7
1997
Stochastic tools on Hilbert manifolds: Interplay with geometry and physics. Zbl 0888.58004
Arnaudon, M.; Paycha, S.
4
1997
Factorisation of semi-martingales on principal fibre bundles and the Faddeev-Popov procedure in gauge theories. Zbl 0853.58110
Arnaudon, M.; Paycha, S.
1
1995
A global and stochastic analysis approach to bosonic strings and associated quantum fields. Zbl 0755.60039
Albeverio, Sergio; Høegh-Krohn, Raphael; Paycha, Sylvie; Scarlatti, Sergio
4
1992
The Faddeev-Popov procedure and application to bosonic strings: An infinite dimensional point of view. Zbl 0758.53063
Paycha, S.
1
1992
A probability measure for random surfaces of arbitrary genus and bosonic strings in 4 dimensions. Zbl 0959.81582
Albeverio, Sergio; Høegh-Krohn, Raphael; Paycha, Sylvie; Scarlatti, Sergio
3
1989
A short overview of mathematical approaches to functional integration. Zbl 0706.58080
Albeverio, Sergio; Paycha, Sylvie; Scarlatti, Sergio
1
1989
all top 5

Cited by 143 Authors

22 Paycha, Sylvie
13 Guo, Li
8 Ponge, Raphaël S.
8 Zhang, Bin
6 Gao, Xing
5 Albeverio, Sergio A.
5 Magnot, Jean-Pierre
5 Mickelsson, Jouko
4 Clavier, Pierre J.
4 Duchamp, Gerard Henry Edmond
4 Rosenberg, Steven
4 Zhang, Yi
3 Ducourtioux, Catherine
3 Ebrahimi-Fard, Kurusch
3 Fathizadeh, Farzad
3 Khalkhali, Masoud
3 Lee, Gihyun
3 Luo, Yan Feng
3 Maeda, Yoshiaki
3 Manchon, Dominique
3 Scott, Simon G.
2 Bai, Ruipu
2 Cardona, Alexander
2 Chen, Dan
2 Fischer, Véronique
2 Grubb, Gerd
2 Ha, Hyunsu
2 Hoan, Ngo Quoc
2 Hoang Ngoc Minh, Vincel
2 Langmann, Edwin
2 Larraín-Hubach, Andrés
2 Léandre, Rémi
2 Ouedraogo, Marie Françoise
2 Singer, Johannes Maria
2 Sukochev, Fedor Anatol’evich
2 Torres-Ardila, Fabian
2 Xiong, Xiao
2 Zegarlinski, Boguslaw
2 Zhang, Yuanyuan
1 Akylzhanov, Rauan Kh.
1 Arnaudon, Marc
1 Asada, Akira
1 Azzali, Sara
1 Battisti, Ubertino
1 Belopol’skaya, Yana Isaevna
1 Benameur, Moulay-Tahar
1 Berline, Nicole
1 Bouillot, Olivier
1 Boutet de Monvel, Anne Marie
1 Braverman, Maxim
1 Brzeźniak, Zdzisław
1 Bui, Van Chiên
1 Chen, Liangyun
1 Chu, Chenghao
1 Coriasco, Sandro
1 Costin, Ovidiu
1 Dereziński, Jan
1 Dodson, Christopher Terence John
1 Duplantier, Bertrand
1 Engliš, Miroslav
1 Estrada, Ricardo
1 Fathi, Ali
1 Folsom, Amanda
1 Friedman, Harvey M.
1 Galanis, George N.
1 Gayral, Victor
1 Ghorbanpour, Asghar
1 Hartung, Tobias
1 Hoan, Quoc Ngo
1 Høegh-Krohn, Raphael J.
1 Hohler, Erling G. B.
1 Iochum, Bruno
1 Jiu, Lin
1 Juhl, Andreas
1 Kang, Chuangchuang
1 Kohnen, Winfried
1 Lagarias, Jeffrey C.
1 Lesch, Matthias
1 Levy, Cyril
1 Li, Guo
1 Li, Jiaqian
1 Li, Liangpan
1 Lipponen, Henri
1 Loikkanen, Juha
1 Loya, Paul A.
1 Ma, Yue
1 Majid, Shahn
1 Maniccia, Lidia
1 Masson, Thierry
1 Mathai, Varghese
1 Mazzucchi, Sonia
1 Mcdonald, Edward A.
1 Minh, Hoang Ngoc
1 Minh, V. Hoang Ngoc
1 Moll, Victor Hugo
1 Møller, Niels Martin
1 Moroianu, Sergiu
1 Murray, Michael K.
1 Neira Jiménez, Carolina
1 Ngô, Quoc Huan
...and 43 more Authors
all top 5

Cited in 57 Serials

14 Journal of Mathematical Physics
13 Journal of Geometry and Physics
8 Communications in Mathematical Physics
6 Advances in Mathematics
4 Letters in Mathematical Physics
4 Journal of Functional Analysis
3 International Journal of Mathematics
3 Infinite Dimensional Analysis, Quantum Probability and Related Topics
3 Journal of Pseudo-Differential Operators and Applications
2 Annales de l’Institut Fourier
2 Journal of Algebra
2 Journal of Number Theory
2 Journal of Pure and Applied Algebra
2 Mathematische Annalen
2 Pacific Journal of Mathematics
2 Transactions of the American Mathematical Society
2 Acta Applicandae Mathematicae
2 Journal of Symbolic Computation
2 Communications in Partial Differential Equations
2 Journal of Algebraic Combinatorics
2 Journal of the Australian Mathematical Society
2 Communications in Mathematical Analysis
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Analysis and Applications
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Reports on Mathematical Physics
1 Reviews in Mathematical Physics
1 Applied Mathematics and Computation
1 Inventiones Mathematicae
1 Journal of Economic Theory
1 Mathematische Nachrichten
1 Theoretical Computer Science
1 Advances in Applied Mathematics
1 Annals of Global Analysis and Geometry
1 Bulletin of the Iranian Mathematical Society
1 International Journal of Algebra and Computation
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Bulletin of the American Mathematical Society. New Series
1 Potential Analysis
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Annales Mathématiques Blaise Pascal
1 Bulletin des Sciences Mathématiques
1 The Journal of Fourier Analysis and Applications
1 Documenta Mathematica
1 Séminaire Lotharingien de Combinatoire
1 Doklady Mathematics
1 Mathematical Physics, Analysis and Geometry
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Algebra and its Applications
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 International Journal of Geometric Methods in Modern Physics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Journal of Noncommutative Geometry
1 ACM Communications in Computer Algebra
1 Science China. Mathematics
1 Mathematics
1 European Journal of Mathematics
all top 5

Cited in 38 Fields

62 Global analysis, analysis on manifolds (58-XX)
34 Quantum theory (81-XX)
22 Number theory (11-XX)
21 Associative rings and algebras (16-XX)
19 Functional analysis (46-XX)
17 Operator theory (47-XX)
15 Partial differential equations (35-XX)
12 Nonassociative rings and algebras (17-XX)
10 Differential geometry (53-XX)
8 Combinatorics (05-XX)
7 Probability theory and stochastic processes (60-XX)
6 Algebraic geometry (14-XX)
6 Manifolds and cell complexes (57-XX)
4 Topological groups, Lie groups (22-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Special functions (33-XX)
4 Convex and discrete geometry (52-XX)
3 General algebraic systems (08-XX)
3 Commutative algebra (13-XX)
3 \(K\)-theory (19-XX)
3 Group theory and generalizations (20-XX)
3 Functions of a complex variable (30-XX)
3 Abstract harmonic analysis (43-XX)
2 Category theory; homological algebra (18-XX)
2 Measure and integration (28-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Algebraic topology (55-XX)
2 Computer science (68-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Relativity and gravitational theory (83-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Field theory and polynomials (12-XX)
1 Potential theory (31-XX)
1 Ordinary differential equations (34-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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