Baron, Karol Correction to: “Weak limit of iterates of some random-valued functions and its application”. (English) Zbl 1441.39019 Aequationes Math. 94, No. 3, 427 (2020). MSC: 39B12 26A18 60B12 58D20 PDF BibTeX XML Cite \textit{K. Baron}, Aequationes Math. 94, No. 3, 427 (2020; Zbl 1441.39019) Full Text: DOI
Baron, Karol Weak limit of iterates of some random-valued functions and its application. (English) Zbl 1443.39012 Aequationes Math. 94, No. 3, 415-425 (2020); correction ibid. 94, No. 3, 427 (2020). Reviewer: Vladimir Mityushev (Kraków) MSC: 39B12 26A18 60B12 58D20 PDF BibTeX XML Cite \textit{K. Baron}, Aequationes Math. 94, No. 3, 415--425 (2020; Zbl 1443.39012) Full Text: DOI
Cheng, Dan; Schwartzman, Armin On critical points of Gaussian random fields under diffeomorphic transformations. (English) Zbl 1453.60083 Stat. Probab. Lett. 158, Article ID 108672, 5 p. (2020). MSC: 60G15 60G60 58D20 15B52 PDF BibTeX XML Cite \textit{D. Cheng} and \textit{A. Schwartzman}, Stat. Probab. Lett. 158, Article ID 108672, 5 p. (2020; Zbl 1453.60083) Full Text: DOI arXiv
Berezansky, Yu. M. Space of configurations and the special measures on it. (English) Zbl 1449.28013 Methods Funct. Anal. Topol. 25, No. 3, 197-204 (2019). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 28C15 58D20 PDF BibTeX XML Cite \textit{Yu. M. Berezansky}, Methods Funct. Anal. Topol. 25, No. 3, 197--204 (2019; Zbl 1449.28013) Full Text: Link
Mamon, S. V. On the transfer of the Wiener measure to the set of continuous trajectories in the Heisenberg group. (English) Zbl 1452.28008 Russ. J. Math. Phys. 26, No. 4, 454-469 (2019). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 28C20 22E25 58D20 PDF BibTeX XML Cite \textit{S. V. Mamon}, Russ. J. Math. Phys. 26, No. 4, 454--469 (2019; Zbl 1452.28008) Full Text: DOI
Jost, Jürgen; Matveev, Rostislav; Portegies, Jacobus W.; Rodrigues, Christian S. On the regular representation of measures. (English) Zbl 1436.58009 Commun. Anal. Geom. 27, No. 8, 1799-1823 (2019). Reviewer: Kaveh Eftekharinasab (Kyiv) MSC: 58C35 58D20 37A50 PDF BibTeX XML Cite \textit{J. Jost} et al., Commun. Anal. Geom. 27, No. 8, 1799--1823 (2019; Zbl 1436.58009) Full Text: DOI
Da Prato, Giuseppe; Flandoli, Franco; Röckner, Michael Absolutely continuous solutions for continuity equations in Hilbert spaces. (English. French summary) Zbl 1418.35074 J. Math. Pures Appl. (9) 128, 42-86 (2019). MSC: 35F10 58D20 60H07 PDF BibTeX XML Cite \textit{G. Da Prato} et al., J. Math. Pures Appl. (9) 128, 42--86 (2019; Zbl 1418.35074) Full Text: DOI
Kosyak, Alexander Criteria of irreducibility of the Koopman representations for the group \(\mathrm{GL}_0(2\infty,\mathbb R)\). (English) Zbl 1403.22020 J. Funct. Anal. 276, No. 1, 78-126 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 28C20 43A80 58D20 PDF BibTeX XML Cite \textit{A. Kosyak}, J. Funct. Anal. 276, No. 1, 78--126 (2019; Zbl 1403.22020) Full Text: DOI
Berry, M. V.; Shukla, Pragya Geometric phase curvature for random states. (English) Zbl 1411.82034 J. Phys. A, Math. Theor. 51, No. 47, Article ID 475101, 13 p. (2018). MSC: 82C70 81Q10 81Q70 58D20 15B52 PDF BibTeX XML Cite \textit{M. V. Berry} and \textit{P. Shukla}, J. Phys. A, Math. Theor. 51, No. 47, Article ID 475101, 13 p. (2018; Zbl 1411.82034) Full Text: DOI
Mironov, A.; Morozov, A.; Morozov, An.; Sleptsov, A. Gaussian distribution of LMOV numbers. (English) Zbl 1373.81303 Nucl. Phys., B 924, 1-32 (2017). MSC: 81T30 81T45 58D20 PDF BibTeX XML Cite \textit{A. Mironov} et al., Nucl. Phys., B 924, 1--32 (2017; Zbl 1373.81303) Full Text: DOI
Alpay, Daniel; Jorgensen, Palle; Levanony, David On the equivalence of probability spaces. (English) Zbl 1388.60081 J. Theor. Probab. 30, No. 3, 813-841 (2017). Reviewer: Yana Kinderknecht (Saarbrücken) MSC: 60G15 58D20 60H05 PDF BibTeX XML Cite \textit{D. Alpay} et al., J. Theor. Probab. 30, No. 3, 813--841 (2017; Zbl 1388.60081) Full Text: DOI arXiv
Klempnauer, Stefan; Schröder, Jan Philipp The stable norm on the 2-torus at irrational directions. (English) Zbl 06723550 Nonlinearity 30, No. 3, 912-942 (2017). MSC: 37J05 37E45 58D20 37D40 37J50 PDF BibTeX XML Cite \textit{S. Klempnauer} and \textit{J. P. Schröder}, Nonlinearity 30, No. 3, 912--942 (2017; Zbl 06723550) Full Text: DOI
Clarke, Brian; Jakobson, Dmitry; Kamran, Niky; Silberman, Lior; Taylor, Jonathan Gaussian measures on the of space of Riemannian metrics. (English. French summary) Zbl 1335.58008 Ann. Math. Qué. 39, No. 2, 129-145 (2015). Reviewer: Igor G. Nikolaev (Urbana) MSC: 58D17 57R25 58B20 58D20 58J50 60G60 PDF BibTeX XML Cite \textit{B. Clarke} et al., Ann. Math. Qué. 39, No. 2, 129--145 (2015; Zbl 1335.58008) Full Text: DOI arXiv
Bernard, Patrick; Mandorino, Vito Some remarks on Thom’s transversality theorem. (English) Zbl 1330.58003 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 14, No. 2, 361-386 (2015). Reviewer: Kun Soo Chang (Seoul) MSC: 58B15 58A35 58D20 PDF BibTeX XML Cite \textit{P. Bernard} and \textit{V. Mandorino}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 14, No. 2, 361--386 (2015; Zbl 1330.58003) Full Text: DOI
Airault, Hélène; Jendoubi, Souheyl; Ouerdiane, Habib The weighted composition operators as intertwining operators for holomorphic Lie group representations. (English) Zbl 1325.47051 Bull. Sci. Math. 139, No. 5, 558-581 (2015). Reviewer: Sergei S. Platonov (Petrozavodsk) MSC: 47B33 58D20 17B15 22E45 43A85 PDF BibTeX XML Cite \textit{H. Airault} et al., Bull. Sci. Math. 139, No. 5, 558--581 (2015; Zbl 1325.47051) Full Text: DOI
Nicolaescu, Liviu I. Random smooth functions on compact Riemannian manifolds. (English) Zbl 1350.53022 Albin, Pierre (ed.) et al., Geometric and spectral analysis. CRM workshops on ‘Geometry of eigenvalues and eigenfunctions, June 4–8, 2012’, ‘Manifolds of metrics and probabilistic methods in geometry and analysis’, July 2–6, 2012, ‘Spectral invariants on non-compact and singular spaces’, July 23–27, 2012, Centre de Recherches Mathématiques, Montréal, Canada. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1043-8/pbk; 978-1-4704-2059-8/ebook). Contemporary Mathematics 630. Centre de Recherches Mathématiques Proceedings, 319-335 (2014). MSC: 53B20 57R45 58C40 58D20 58J37 58J50 60B20 60D05 60G15 PDF BibTeX XML Cite \textit{L. I. Nicolaescu}, Contemp. Math. 630, 319--335 (2014; Zbl 1350.53022) Full Text: DOI
Da Prato, Giuseppe; Flandoli, Franco; Röckner, Michael Uniqueness for continuity equations in Hilbert spaces with weakly differentiable drift. (English) Zbl 1328.35015 Stoch. Partial Differ. Equ., Anal. Comput. 2, No. 2, 121-145 (2014). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 35F10 35A02 58D20 60H07 PDF BibTeX XML Cite \textit{G. Da Prato} et al., Stoch. Partial Differ. Equ., Anal. Comput. 2, No. 2, 121--145 (2014; Zbl 1328.35015) Full Text: DOI arXiv
Canzani, Yaiza; Jakobson, Dmitry; Wigman, Igor Scalar curvature and \(Q\)-curvature of random metrics. (English) Zbl 1314.53070 J. Geom. Anal. 24, No. 4, 1982-2019 (2014). Reviewer: Renato G. Bettiol (Philadelphia) MSC: 53C21 53A30 58J50 58D17 58D20 60G60 PDF BibTeX XML Cite \textit{Y. Canzani} et al., J. Geom. Anal. 24, No. 4, 1982--2019 (2014; Zbl 1314.53070) Full Text: DOI
Kolesnikov, Alexander V.; Röckner, Michael On continuity equations in infinite dimensions with non-Gaussian reference measure. (English) Zbl 1317.60083 J. Funct. Anal. 266, No. 7, 4490-4537 (2014). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60H30 35R15 35F10 35B45 35L45 46E27 58D20 PDF BibTeX XML Cite \textit{A. V. Kolesnikov} and \textit{M. Röckner}, J. Funct. Anal. 266, No. 7, 4490--4537 (2014; Zbl 1317.60083) Full Text: DOI arXiv
Cavalletti, Fabio; Huesmann, Martin Self-intersection of optimal geodesics. (English) Zbl 1306.53065 Bull. Lond. Math. Soc. 46, No. 3, 653-656 (2014). Reviewer: Andrew Bucki (Edmond) MSC: 53C70 53C22 28A33 58D20 PDF BibTeX XML Cite \textit{F. Cavalletti} and \textit{M. Huesmann}, Bull. Lond. Math. Soc. 46, No. 3, 653--656 (2014; Zbl 1306.53065) Full Text: DOI arXiv
Airault, H.; Jendoubi, S.; Ouerdiane, H. Unitarising measures for the representations of affine group and associated invariant operators. (English) Zbl 1360.58007 Bull. Sci. Math. 137, No. 6, 775-790 (2013). MSC: 58D20 17B15 22E45 32M99 43A85 58J65 PDF BibTeX XML Cite \textit{H. Airault} et al., Bull. Sci. Math. 137, No. 6, 775--790 (2013; Zbl 1360.58007) Full Text: DOI
Nakić, Ivica Integration of positive linear functionals on a sphere in \(\mathbb{R}^{2n}\) with respect to Gaussian surface measures. (English) Zbl 1280.28001 Math. Commun. 18, No. 2, 349-358 (2013). MSC: 28A25 58D20 PDF BibTeX XML Cite \textit{I. Nakić}, Math. Commun. 18, No. 2, 349--358 (2013; Zbl 1280.28001) Full Text: Link
Dhakar, Virendra Singh; Sharma, Kishan On a recurrence relation of \(k\)-Mittag-Leffler function. (English) Zbl 1279.33024 Commun. Korean Math. Soc. 28, No. 4, 851-856 (2013). MSC: 33D05 65Q30 76F20 58D20 PDF BibTeX XML Cite \textit{V. S. Dhakar} and \textit{K. Sharma}, Commun. Korean Math. Soc. 28, No. 4, 851--856 (2013; Zbl 1279.33024) Full Text: DOI
Devinck, Vincent Strongly mixing operators on Hilbert spaces and speed of mixing. (English) Zbl 1275.37004 Proc. Lond. Math. Soc. (3) 106, No. 6, 1394-1434 (2013). Reviewer: Carlos Meniño (Rio de Janeiro) MSC: 37A05 37A25 58D20 65F15 PDF BibTeX XML Cite \textit{V. Devinck}, Proc. Lond. Math. Soc. (3) 106, No. 6, 1394--1434 (2013; Zbl 1275.37004) Full Text: DOI arXiv
Rajala, Tapio Interpolated measures with bounded density in metric spaces satisfying the curvature-dimension conditions of Sturm. (English) Zbl 1260.53076 J. Funct. Anal. 263, No. 4, 896-924 (2012). Reviewer: Surjit Singh Khurana (Iowa City) MSC: 53C22 53C20 28A33 58D20 PDF BibTeX XML Cite \textit{T. Rajala}, J. Funct. Anal. 263, No. 4, 896--924 (2012; Zbl 1260.53076) Full Text: DOI arXiv
Gigli, Nicola Second order analysis on \((\mathcal P_{2}(M),W_{2})\). (English) Zbl 1253.58008 Mem. Am. Math. Soc. 1018, 154 p. (2012). Reviewer: Luigi Ambrosio (Pisa) MSC: 58D20 28A33 49Q20 35K55 58B20 PDF BibTeX XML Cite \textit{N. Gigli}, Second order analysis on \((\mathcal P_{2}(M),W_{2})\). Providence, RI: American Mathematical Society (AMS) (2012; Zbl 1253.58008) Full Text: DOI
Baudoin, Fabrice; Bonnefont, Michel Log-Sobolev inequalities for subelliptic operators satisfying a generalized curvature dimension inequality. (English) Zbl 1254.58004 J. Funct. Anal. 262, No. 6, 2646-2676 (2012). Reviewer: Choonkil Park (Daejeon) MSC: 58C35 58D20 49Q15 PDF BibTeX XML Cite \textit{F. Baudoin} and \textit{M. Bonnefont}, J. Funct. Anal. 262, No. 6, 2646--2676 (2012; Zbl 1254.58004) Full Text: DOI arXiv
Shao, Jinghai From the heat measure to the pinned Wiener measure on loop groups. (English) Zbl 1237.58013 Bull. Sci. Math. 135, No. 6-7, 601-612 (2011). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 58D20 49Q20 22E67 28C20 60B15 60J65 PDF BibTeX XML Cite \textit{J. Shao}, Bull. Sci. Math. 135, No. 6--7, 601--612 (2011; Zbl 1237.58013) Full Text: DOI
Pickrell, Doug Heat kernel measures and critical limits. (English) Zbl 1278.58004 Neeb, Karl-Hermann (ed.) et al., Developments and trends in infinite-dimensional Lie theory. Basel: Birkhäuser (ISBN 978-0-8176-4740-7/hbk; 978-0-8176-4741-4/ebook). Progress in Mathematics 288, 393-415 (2011). MSC: 58D20 22E65 22E67 PDF BibTeX XML Cite \textit{D. Pickrell}, Prog. Math. 288, 393--415 (2011; Zbl 1278.58004) Full Text: DOI arXiv
Chen, Xiuxiong; He, Weiyong The space of volume forms. (English) Zbl 1218.58008 Int. Math. Res. Not. 2011, No. 5, 967-1009 (2011). Reviewer: Vasile Oproiu (Iaşi) MSC: 58D15 58B25 58B20 32Q20 58D20 58D25 PDF BibTeX XML Cite \textit{X. Chen} and \textit{W. He}, Int. Math. Res. Not. 2011, No. 5, 967--1009 (2011; Zbl 1218.58008) Full Text: DOI arXiv
Fang, Shizan On the behaviour of metrics \(H_s\) on loop groups. (English) Zbl 1224.60126 Theory Stoch. Process. 16, No. 1, 39-43 (2010). MSC: 60H07 58D20 58B20 60J45 PDF BibTeX XML Cite \textit{S. Fang}, Theory Stoch. Process. 16, No. 1, 39--43 (2010; Zbl 1224.60126)
Al-Hussein, A.; Elworthy, K. D. Infinite-dimensional degree theory and stochastic analysis. (English) Zbl 1205.58019 J. Fixed Point Theory Appl. 7, No. 1, 33-65 (2010). MSC: 58J65 28C20 58C30 47H11 60H07 58D20 PDF BibTeX XML Cite \textit{A. Al-Hussein} and \textit{K. D. Elworthy}, J. Fixed Point Theory Appl. 7, No. 1, 33--65 (2010; Zbl 1205.58019) Full Text: DOI
Canzani, Yaiza; Jakobson, Dmitry; Wigman, Igor Scalar curvature and \(Q\)-curvature of random metrics. (English) Zbl 1208.53051 Electron. Res. Announc. Math. Sci. 17, 43-56 (2010). MSC: 53C21 60G60 53A30 58J50 58D17 58D20 PDF BibTeX XML Cite \textit{Y. Canzani} et al., Electron. Res. Announc. Math. Sci. 17, 43--56 (2010; Zbl 1208.53051) Full Text: DOI arXiv
Elworthy, K. David Stochastic flows and geometric analysis on path spaces. (English) Zbl 1210.58029 Kotani, Motoko (ed.) et al., Probabilistic approach to geometry. Proceedings of the 1st international conference, Kyoto, Japan, 28th July – 8th August, 2008. Tokyo: Mathematical Society of Japan (MSJ) (ISBN 978-4-931469-58-7/hbk). Advanced Studies in Pure Mathematics 57, 61-78 (2010). Reviewer: Maria Gordina (Storrs) MSC: 58J65 58A14 58D20 58D15 58B10 60H07 60H10 53C17 PDF BibTeX XML Cite \textit{K. D. Elworthy}, Adv. Stud. Pure Math. 57, 61--78 (2010; Zbl 1210.58029)
Aniello, P.; Kossakowski, A.; Marmo, G.; Ventriglia, F. Brownian motion on Lie groups and open quantum systems. (English) Zbl 1202.81127 J. Phys. A, Math. Theor. 43, No. 26, Article ID 265301, 32 p. (2010). Reviewer: Piotr Garbaczewski (Opole) MSC: 81S22 81R05 81R15 58D20 60J65 54H15 47D07 46L57 20M20 22D10 PDF BibTeX XML Cite \textit{P. Aniello} et al., J. Phys. A, Math. Theor. 43, No. 26, Article ID 265301, 32 p. (2010; Zbl 1202.81127) Full Text: DOI
Kapranov, Mikhail Noncommutative geometry and path integrals. (English) Zbl 1204.58008 Tschinkel, Yuri (ed.) et al., Algebra, arithmetic, and geometry. In honor of Y. I. Manin on the occasion of his 70th birthday. Vol. II. Boston, MA: Birkhäuser (ISBN 978-0-8176-4746-9/hbk; 978-0-8176-4747-6/ebook). Progress in Mathematics 270, 49-87 (2009). MSC: 58D30 58D20 81R60 PDF BibTeX XML Cite \textit{M. Kapranov}, Prog. Math. 270, 49--87 (2009; Zbl 1204.58008) Full Text: DOI
Delanoë, Philippe Differential geometric heuristics for Riemannian optimal mass transportation. (English) Zbl 1186.58008 Kruglikov, Boris (ed.) et al., Differential equations – Geometry, symmetries and integrability. The Abel symposium 2008. Proceedings of the fifth Abel symposium, Tromsø, Norway, June 17–22, 2008. Berlin: Springer (ISBN 978-3-642-00872-6/hbk; 978-3-642-00873-3/ebook). Abel Symposia 5, 49-73 (2009). MSC: 58D20 58D05 53C21 PDF BibTeX XML Cite \textit{P. Delanoë}, Abel Symp. 5, 49--73 (2009; Zbl 1186.58008) Full Text: DOI
Léandre, R. Lebesgue measure in infinite dimension as an infinite-dimensional distribution. (English. Russian original) Zbl 1186.58009 J. Math. Sci., New York 159, No. 6, 833-836 (2009); translation from Fundam. Prikl. Mat. 13, No. 8, 127-132 (2007). MSC: 58D20 58D15 58D30 PDF BibTeX XML Cite \textit{R. Léandre}, J. Math. Sci., New York 159, No. 6, 833--836 (2009; Zbl 1186.58009); translation from Fundam. Prikl. Mat. 13, No. 8, 127--132 (2007) Full Text: DOI
Vershik, A. M.; Graev, M. I. Integral models of representations of the current groups of simple Lie groups. (English. Russian original) Zbl 1202.22019 Russ. Math. Surv. 64, No. 2, 205-271 (2009); translation from Usp. Mat. Nauk 64, No. 2, 5-72 (2009). Reviewer: Karl Strambach (Erlangen) MSC: 22E46 22E65 22D12 58D20 PDF BibTeX XML Cite \textit{A. M. Vershik} and \textit{M. I. Graev}, Russ. Math. Surv. 64, No. 2, 205--271 (2009; Zbl 1202.22019); translation from Usp. Mat. Nauk 64, No. 2, 5--72 (2009) Full Text: DOI
Kim, Young Sik Behaviour of the first variation under a Fourier-Feynman transform for cylinder functions on abstract Wiener spaces. (English) Zbl 1156.28005 Integral Transforms Spec. Funct. 19, No. 9, 643-653 (2008). Reviewer: Ganesh Datta Dikshit (Auckland) MSC: 28C20 46G12 58D20 PDF BibTeX XML Cite \textit{Y. S. Kim}, Integral Transforms Spec. Funct. 19, No. 9, 643--653 (2008; Zbl 1156.28005) Full Text: DOI
Lévy, Thierry Large deviations for the two-dimensional Yang-Mills measure. (English) Zbl 1149.58005 Arous, Gerard Ben (ed.) et al., Stochastic analysing in mathematical physics. Proceedings of a satellite conference of ICM 2006, Lisbon, Portugal, September 4–8, 2006. Selected papers. Hackensack, NJ: World Scientific (ISBN 978-981-279-154-2/hbk). 54-68 (2008). MSC: 58D20 60F10 58J05 PDF BibTeX XML Cite \textit{T. Lévy}, in: Stochastic analysing in mathematical physics. Proceedings of a satellite conference of ICM 2006, Lisbon, Portugal, September 4--8, 2006. Selected papers. Hackensack, NJ: World Scientific. 54--68 (2008; Zbl 1149.58005) Full Text: DOI
Cox, Dennis D.; Hardt, Robert M.; Klouček, Petr Convergence of Gibbs measures associated with simulated annealing. (English) Zbl 1148.60051 SIAM J. Math. Anal. 39, No. 5, 1472-1496 (2008). MSC: 60J22 60J25 82C31 82B26 82B80 58D20 28A33 PDF BibTeX XML Cite \textit{D. D. Cox} et al., SIAM J. Math. Anal. 39, No. 5, 1472--1496 (2008; Zbl 1148.60051) Full Text: DOI DOI
Lott, John Some geometric calculations on Wasserstein space. (English) Zbl 1144.58007 Commun. Math. Phys. 277, No. 2, 423-437 (2008). MSC: 58D20 58B20 PDF BibTeX XML Cite \textit{J. Lott}, Commun. Math. Phys. 277, No. 2, 423--437 (2008; Zbl 1144.58007) Full Text: DOI arXiv
Shimomura, Hiroaki Positive-definite functions on infinite-dimensional groups. (English) Zbl 1137.58005 Math. Z. 259, No. 2, 355-361 (2008). MSC: 58D20 22E65 58D05 PDF BibTeX XML Cite \textit{H. Shimomura}, Math. Z. 259, No. 2, 355--361 (2008; Zbl 1137.58005) Full Text: DOI
Cho, Dong Hyun Change of scale formulas for conditional Wiener integrals as integral transforms over Wiener paths in abstract Wiener space. (English) Zbl 1168.28311 Commun. Korean Math. Soc. 22, No. 1, 91-109 (2007). MSC: 28C20 46G12 58D20 60B11 PDF BibTeX XML Cite \textit{D. H. Cho}, Commun. Korean Math. Soc. 22, No. 1, 91--109 (2007; Zbl 1168.28311) Full Text: DOI
Boos, William Stochastic representations of Feynman integration. (English) Zbl 1153.81325 J. Math. Phys. 48, No. 12, 122106, 18 p. (2007). MSC: 81S40 58D20 58D30 81S20 PDF BibTeX XML Cite \textit{W. Boos}, J. Math. Phys. 48, No. 12, 122106, 18 p. (2007; Zbl 1153.81325) Full Text: DOI
Malliavin, Paul Itō atlas, its application to mathematical finance and to exponentiation of infinite dimensional Lie algebras. (English) Zbl 1133.91027 Benth, Fred Espen (ed.) et al., Stochastic analysis and applications. The Abel symposium 2005. Proceedings of the second Abel symposium, Oslo, Norway, July 29 – August 4, 2005, held in honor of Kiyosi Itō. Berlin: Springer (ISBN 978-3-540-70846-9/hbk). Abel Symposia 2, 501-514 (2007). Reviewer: Jacques Franchi (Strasbourg) MSC: 91G80 58B25 60H07 17B65 60H30 91B70 58D05 58D20 PDF BibTeX XML Cite \textit{P. Malliavin}, Abel Symp. 2, 501--514 (2007; Zbl 1133.91027)
Elworthy, K. D. Aspects of stochastic global analysis. (English) Zbl 1118.58018 Maeda, Yoshiaki (ed.) et al., From geometry to quantum mechanics. In honor of Hideki Omori. Basel: Birkhäuser (ISBN 978-0-8176-4512-0/hbk; 978-0-8176-4530-4/e-book). Progress in Mathematics 252, 3-24 (2007). MSC: 58J65 58B20 53C17 53C05 53C21 58D20 58D05 58A14 60H07 60H10 58B15 PDF BibTeX XML Cite \textit{K. D. Elworthy}, Prog. Math. 252, 3--24 (2007; Zbl 1118.58018)
Léandre, Rémi Measures on central extension of current groups in two dimensions. (English) Zbl 1404.58021 Bernido, Christopher C. (ed.) et al., Methods and applications of infinite dimensional analysis. Proceedings of the 4th Jagna international workshop, Jagna, Bohol, Philippines, January 3–7, 2005. Jagna: Central Visayan Institute Foundation (ISBN 978-971-91696-3-5/hbk). 172-174 (2006). MSC: 58D20 22E67 81R10 PDF BibTeX XML Cite \textit{R. Léandre}, in: Methods and applications of infinite dimensional analysis. Proceedings of the 4th Jagna international workshop, Jagna, Bohol, Philippines, January 3--7, 2005. Jagna: Central Visayan Institute Foundation. 172--174 (2006; Zbl 1404.58021)
Elworthy, K. David; Li, Xue-Mei Geometric stochastic analysis on path spaces. (English) Zbl 1100.58014 Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume III: Invited lectures. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 575-594 (2006). MSC: 58J65 58B10 58A14 60H07 60H10 53C17 58D20 58B15 PDF BibTeX XML Cite \textit{K. Elworthy} and \textit{X.-M. Li}, in: Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22--30, 2006. Volume III: Invited lectures. Zürich: European Mathematical Society (EMS). 575--594 (2006; Zbl 1100.58014)
Léandre, Rémi Heat kernel measure on central extension of current groups in any dimension. (English) Zbl 1103.58006 SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 003, 4 p. (2006). Reviewer: Jacques Franchi (Strasbourg) MSC: 58D20 60G60 60H07 22E65 35K05 60J65 PDF BibTeX XML Cite \textit{R. Léandre}, SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 003, 4 p. (2006; Zbl 1103.58006) Full Text: DOI EMIS EuDML arXiv
Goldin, Gerald A.; Moschella, Ugo; Sakuraba, Takao Measures on spaces of infinite-dimensional configurations group representations, and statistical physics. (English) Zbl 1229.81128 Doebner, H.-D.(ed.) et al., Lie theory and its applications in physics V. Proceedings of the 5th international workshop, Varna, Bulgaria, June 16–22, 2003. Hackensack, NJ: World Scientific (ISBN 981-238-936-9). 313-326 (2005). MSC: 81R10 58D20 82B10 PDF BibTeX XML Cite \textit{G. A. Goldin} et al., in: Lie theory and its applications in physics V. Proceedings of the 5th international workshop, Varna, Bulgaria, June 16--22, 2003. Hackensack, NJ: World Scientific. 313--326 (2005; Zbl 1229.81128) Full Text: DOI arXiv
Martínez, Jorge; Meneses, Claudio; Zapata, José A. Geometry of \(C\)-flat connections, coarse graining and the continuum limit. (English) Zbl 1111.58007 J. Math. Phys. 46, No. 10, 102301, 18 p. (2005). MSC: 58D20 58D27 81T13 81T27 83C45 PDF BibTeX XML Cite \textit{J. Martínez} et al., J. Math. Phys. 46, No. 10, 102301, 18 p. (2005; Zbl 1111.58007) Full Text: DOI arXiv
Albeverio, Sergio; Daletskii, Alexei Recent developments on harmonic forms and \(L^2\)-Betti numbers of infinite configuration spaces with Poisson. (English) Zbl 1132.58012 Heyer, Herbert (ed.) et al., Infinite dimensional harmonic analysis III. Proceedings of the 3rd German-Japanese symposium, University of Tübingen, Tübingen, Germany, September 15–20, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-593-0/hbk). 1-15 (2005). Reviewer: Yuri A. Brudnyi (Haifa) MSC: 58J10 58D20 28A33 28C10 PDF BibTeX XML Cite \textit{S. Albeverio} and \textit{A. Daletskii}, in: Infinite dimensional harmonic analysis III. Proceedings of the 3rd German-Japanese symposium, University of Tübingen, Tübingen, Germany, September 15--20, 2003. Hackensack, NJ: World Scientific. 1--15 (2005; Zbl 1132.58012)
Graev, M. I.; Vershik, A. M. The basic representation of the current group \(O(n,1)^X\) in the \(L^2\) space over the generalized Lebesgue measure. (English) Zbl 1147.22013 Indag. Math., New Ser. 16, No. 3-4, 499-529 (2005). Reviewer: Karl-Hermann Neeb (MR2008g:22028) MSC: 22E65 22E46 58D20 PDF BibTeX XML Cite \textit{M. I. Graev} and \textit{A. M. Vershik}, Indag. Math., New Ser. 16, No. 3--4, 499--529 (2005; Zbl 1147.22013) Full Text: DOI
Malliavin, Paul Heat measures and unitarizing measures for Berezinian representations of the space of univalent functions in the unit disk. (English) Zbl 1111.43001 Benedicks, Michael (ed.) et al., Perspectives in analysis. Essays in honor of Lennart Carleson’s 75th birthday. Proceedings of the conference, Stockholm, Sweden, May 26–28, 2003. Berlin: Springer (ISBN 3-540-30432-0/hbk). Math. Phys. Stud. 27, 253-268 (2005). Reviewer: Saulius Norvidas (Vilnius) MSC: 43A05 22E60 28C10 30C55 58D20 30C85 58J65 PDF BibTeX XML Cite \textit{P. Malliavin}, Math. Phys. Stud. 27, 253--268 (2005; Zbl 1111.43001) Full Text: DOI
Bogacheva, Elena V.; Gliklikh, Yuri E. Topological index for condensing maps on Finsler manifolds with applications to functional-differential equations of neutral type. (English) Zbl 1099.58005 Topol. Methods Nonlinear Anal. 26, No. 2, 287-305 (2005). MSC: 58B20 58C30 34K05 58C06 58D20 PDF BibTeX XML Cite \textit{E. V. Bogacheva} and \textit{Y. E. Gliklikh}, Topol. Methods Nonlinear Anal. 26, No. 2, 287--305 (2005; Zbl 1099.58005) Full Text: DOI
Léandre, R. Stochastic and deterministic bundles. (English) Zbl 1093.58006 Ukr. Mat. Zh. 57, No. 9, 1284-1288 (2005) and Ukr. Math. J. 57, No. 9, 1502-1506 (2005). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 58D20 58J65 60J65 PDF BibTeX XML Cite \textit{R. Léandre}, Ukr. Mat. Zh. 57, No. 9, 1284--1288 (2005; Zbl 1093.58006) Full Text: DOI
Taubes, Clifford H. Constructions of measures and quantum field theories on mapping spaces. (English) Zbl 1097.58007 J. Differ. Geom. 70, No. 1, 23-57 (2005). Reviewer: Akira Asada (Takarazuka) MSC: 58D20 81T08 58D15 PDF BibTeX XML Cite \textit{C. H. Taubes}, J. Differ. Geom. 70, No. 1, 23--57 (2005; Zbl 1097.58007) Full Text: DOI Euclid
Shimomura, Hiroaki Irreducible decompositions of unitary representations of infinite-dimensional groups. (English) Zbl 1087.58006 Math. Z. 251, No. 3, 575-587 (2005). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 58D20 22E65 PDF BibTeX XML Cite \textit{H. Shimomura}, Math. Z. 251, No. 3, 575--587 (2005; Zbl 1087.58006) Full Text: DOI
Labourie, François Random \(k\)-surfaces. (English) Zbl 1077.53050 Ann. Math. (2) 161, No. 1, 105-140 (2005). Reviewer: Andrzej Piatkowski (Łódź) MSC: 53C42 58D20 37D40 57R30 PDF BibTeX XML Cite \textit{F. Labourie}, Ann. Math. (2) 161, No. 1, 105--140 (2005; Zbl 1077.53050) Full Text: DOI
Hahn, Atle Chern-Simons models on \(S^2\times S^1\), torus gauge fixing, and link invariants. I. (English) Zbl 1097.53014 J. Geom. Phys. 53, No. 3, 275-314 (2005). Reviewer: Tomasz Brzeziński (Swansea) MSC: 53C07 57M27 58D20 58J28 81T45 81T13 PDF BibTeX XML Cite \textit{A. Hahn}, J. Geom. Phys. 53, No. 3, 275--314 (2005; Zbl 1097.53014) Full Text: DOI
Albeverio, Sergio; Kosyak, Alexandre Quasiregular representations of the infinite-dimensional Borel group. (English) Zbl 1058.22015 J. Funct. Anal. 218, No. 2, 445-474 (2005). Reviewer: Kun Soo Chang (Seoul) MSC: 22E65 28C20 43A80 58D20 PDF BibTeX XML Cite \textit{S. Albeverio} and \textit{A. Kosyak}, J. Funct. Anal. 218, No. 2, 445--474 (2005; Zbl 1058.22015) Full Text: DOI
Nair, V. P.; Yelnikov, A. On the invariant measure for the Yang–Mills configuration space in \((3+1)\) dimensions. (English) Zbl 1109.58303 Nucl. Phys., B 691, No. 1-2, 182-194 (2004). MSC: 58D20 70S15 81T13 PDF BibTeX XML Cite \textit{V. P. Nair} and \textit{A. Yelnikov}, Nucl. Phys., B 691, No. 1--2, 182--194 (2004; Zbl 1109.58303) Full Text: DOI arXiv
Finkelshtein, D. L. Second order differential operators on the configuration spaces. (English) Zbl 1094.47517 Nikitin, A.G.(ed.) et al., Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23–29, 2003. Part 3. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-3227-6). Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine. Mathematics and its Applications. 50(3), 1301-1307 (2004). Reviewer: N. M. Ivanova (Kyïv) MSC: 47E05 28C20 58D20 PDF BibTeX XML Cite \textit{D. L. Finkelshtein}, in: Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23--29, 2003. Part 3. Kyïv: Institute of Mathematics of NAS of Ukraine. 1301--1307 (2004; Zbl 1094.47517)
Kondratiev, Yuri; Kuna, Tobias; Kutoviy, Oleksandr On relations between a priori bounds for measures on configuration spaces. (English) Zbl 1072.82011 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 7, No. 2, 195-213 (2004). MSC: 82B21 28C20 58D20 60G55 PDF BibTeX XML Cite \textit{Y. Kondratiev} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 7, No. 2, 195--213 (2004; Zbl 1072.82011) Full Text: DOI
Ludkovsky, S. V. Generalized geometric loop groups of complex manifolds, Gaussian quasi-invariant measures on them and their representations. (English) Zbl 1167.58301 J. Math. Sci., New York 122, No. 1, 2984-3011 (2004). MSC: 58B25 22A05 58D20 PDF BibTeX XML Cite \textit{S. V. Ludkovsky}, J. Math. Sci., New York 122, No. 1, 2984--3011 (2004; Zbl 1167.58301) Full Text: DOI
Salmela, Antti Covariant Poisson equation with compact Lie algebras. (English) Zbl 1071.58010 J. Math. Phys. 45, No. 7, 2844-2863 (2004). MSC: 58D20 35A30 35B40 PDF BibTeX XML Cite \textit{A. Salmela}, J. Math. Phys. 45, No. 7, 2844--2863 (2004; Zbl 1071.58010) Full Text: DOI arXiv
Sidorova, N. A. Limiting behavior of surface measures on spaces of trajectories. (English. Russian original) Zbl 1064.58030 Math. Notes 76, No. 2, 286-290 (2004); translation from Mat. Zametki 76, No. 2, 307-311 (2004). Reviewer: Yuri E. Gliklikh (Voronezh) MSC: 58J65 58C35 58D15 58D20 60H10 60J65 PDF BibTeX XML Cite \textit{N. A. Sidorova}, Math. Notes 76, No. 2, 286--290 (2004; Zbl 1064.58030); translation from Mat. Zametki 76, No. 2, 307--311 (2004) Full Text: DOI
Pickrell, Doug The radial part of the zero-mode Hamiltonian for sigma models with group target space. (English) Zbl 1067.81116 Rev. Math. Phys. 16, No. 5, 603-628 (2004). MSC: 81T40 22E67 58D20 81T10 81R12 PDF BibTeX XML Cite \textit{D. Pickrell}, Rev. Math. Phys. 16, No. 5, 603--628 (2004; Zbl 1067.81116) Full Text: DOI arXiv
Wang, Feng-Yu Probability distance inequalities on Riemannian manifolds and path spaces. (English) Zbl 1048.58013 J. Funct. Anal. 206, No. 1, 167-190 (2004). Reviewer: Jacques Franchi (Strasbourg) MSC: 58E35 47D07 60H10 58J65 58D20 58J35 PDF BibTeX XML Cite \textit{F.-Y. Wang}, J. Funct. Anal. 206, No. 1, 167--190 (2004; Zbl 1048.58013) Full Text: DOI
Smolyanov, O. G.; Truman, A. Feynman integrals over trajectories in Riemannian manifolds. (English. Russian original) Zbl 1125.58010 Dokl. Math. 68, No. 2, 194-198 (2003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 392, No. 2, 174-179 (2003). MSC: 58J65 58D20 81S40 PDF BibTeX XML Cite \textit{O. G. Smolyanov} and \textit{A. Truman}, Dokl. Math. 68, No. 2, 194--198 (2003; Zbl 1125.58010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 392, No. 2, 174--179 (2003)
Sengupta, Ambar N. Sewing Yang-Mills measures for non-trivial bundles. (English) Zbl 1070.58009 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 6, Suppl., 39-52 (2003). MSC: 58D20 81T13 58J65 PDF BibTeX XML Cite \textit{A. N. Sengupta}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 6, 39--52 (2003; Zbl 1070.58009) Full Text: DOI
Lévy, Thierry How to choose a connection at random. (Comment choisir une connexion au hasard.) (French) Zbl 1120.81064 Seminar on spectral theory and geometry. 2002–2003. St. Martin d’Hères: Université de Grenoble I, Institut Fourier. Sémin. Théor. Spectr. Géom. 21, 61-73 (2003). Reviewer: Rolando Rebolledo Berroeta (Santiago de Chile) MSC: 81T13 58D20 81T27 PDF BibTeX XML Cite \textit{T. Lévy}, in: Séminaire de théorie spectrale et géométrie. Année 2002--2003. St. Martin d'Hères: Université de Grenoble I, Institut Fourier. 61--73 (2003; Zbl 1120.81064) Full Text: EuDML
Léandre, Rémi Super Brownian motion on a loop group. (English) Zbl 1056.58013 Rep. Math. Phys. 51, No. 2-3, 269-274 (2003). Reviewer: Jacques Franchi (Strasbourg) MSC: 58J65 60J65 60J80 58D20 81T60 PDF BibTeX XML Cite \textit{R. Léandre}, Rep. Math. Phys. 51, No. 2--3, 269--274 (2003; Zbl 1056.58013) Full Text: DOI
Lévy, Thierry Yang-Mills measures on compact surfaces. (English) Zbl 1036.58009 Mem. Am. Math. Soc. 790, 122 p. (2003). Reviewer: Andrew Bucki (Oklahoma City) MSC: 58D20 81T13 81T27 60G60 60F20 58-02 81-02 PDF BibTeX XML Cite \textit{T. Lévy}, Yang-Mills measures on compact surfaces. Providence, RI: American Mathematical Society (AMS) (2003; Zbl 1036.58009) Full Text: DOI
Ludkovsky, S. V. Stochastic processes on totally disconnected topological groups. (English) Zbl 1095.60015 Int. J. Math. Math. Sci. 2003, No. 48, 3067-3089 (2003). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 60G99 58D20 46S10 46T12 60B15 PDF BibTeX XML Cite \textit{S. V. Ludkovsky}, Int. J. Math. Math. Sci. 2003, No. 48, 3067--3089 (2003; Zbl 1095.60015) Full Text: DOI EuDML
Driver, Bruce K. Analysis of Wiener measure on path and loop groups. (English) Zbl 1027.60056 Kuo, Hui-Hsiung (ed.) et al., Finite and infinite dimensional analysis in honor of Leonard Gross. Proceedings of the AMS special session on analysis on infinite dimensional spaces, New Orleans, LA, USA, January 12-13, 2001. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 317, 57-85 (2003). Reviewer: Jacques Franchi (Strasbourg) MSC: 60H07 58J65 22E30 58D20 PDF BibTeX XML Cite \textit{B. K. Driver}, Contemp. Math. 317, 57--85 (2003; Zbl 1027.60056)
Inahama, Yuzuru Convergence of finite dimensional distributions of heat kernel measures on loop groups. (English) Zbl 1018.60060 J. Funct. Anal. 198, No. 2, 311-340 (2003). Reviewer: Jacques Franchi (Strasbourg) MSC: 60H07 58J65 58D20 PDF BibTeX XML Cite \textit{Y. Inahama}, J. Funct. Anal. 198, No. 2, 311--340 (2003; Zbl 1018.60060) Full Text: DOI
Fleischhack, Christian Hyphs and the Ashtekar-Lewandowski measure. (English) Zbl 1012.58007 J. Geom. Phys. 45, No. 3-4, 231-251 (2003). MSC: 58D20 81T13 53C05 28C20 PDF BibTeX XML Cite \textit{C. Fleischhack}, J. Geom. Phys. 45, No. 3--4, 231--251 (2003; Zbl 1012.58007) Full Text: DOI arXiv
Dai, Jialing; Pickrell, Doug The orbit method and the Virasoro extension of \(\text{diff}^+(S^1)\). I: Orbital integrals. (English) Zbl 1028.58011 J. Geom. Phys. 44, No. 4, 623-653 (2003). Reviewer: M.Rahula (Tartu) MSC: 58D20 22E65 22E67 53D50 58D05 PDF BibTeX XML Cite \textit{J. Dai} and \textit{D. Pickrell}, J. Geom. Phys. 44, No. 4, 623--653 (2003; Zbl 1028.58011) Full Text: DOI
Schlenk, Felix Volume preserving embeddings of open subsets of \({\mathbb R}^n\) into manifolds. (English) Zbl 1026.58008 Proc. Am. Math. Soc. 131, No. 6, 1925-1929 (2003). Reviewer: Om Prakash Singh (Aligarh) MSC: 58D20 53C42 57R40 PDF BibTeX XML Cite \textit{F. Schlenk}, Proc. Am. Math. Soc. 131, No. 6, 1925--1929 (2003; Zbl 1026.58008) Full Text: DOI arXiv
Velhinho, J. M. Invariance properties of induced Fock measures for \(U(1)\) holonomies. (English) Zbl 1026.58009 Commun. Math. Phys. 227, No. 3, 541-550 (2002). Reviewer: Hiroaki Shimomura (Kochi) MSC: 58D20 83C45 PDF BibTeX XML Cite \textit{J. M. Velhinho}, Commun. Math. Phys. 227, No. 3, 541--550 (2002; Zbl 1026.58009) Full Text: DOI arXiv
Airault, Hélène; Ren, Jiagang Modulus of continuity of the canonic Brownian motion “on the group of diffeomorphisms of the circle”. (English) Zbl 1023.60051 J. Funct. Anal. 196, No. 2, 395-426 (2002). Reviewer: J.Franchi (Paris) MSC: 60H07 58J65 60H10 58D05 22E65 58D20 46N50 PDF BibTeX XML Cite \textit{H. Airault} and \textit{J. Ren}, J. Funct. Anal. 196, No. 2, 395--426 (2002; Zbl 1023.60051) Full Text: DOI
Fang, Shizan Canonical Brownian motion on the diffeomorphism group of the circle. (English) Zbl 1023.60050 J. Funct. Anal. 196, No. 1, 162-179 (2002). Reviewer: J.Franchi (Paris) MSC: 60H07 58J65 58D20 46N50 PDF BibTeX XML Cite \textit{S. Fang}, J. Funct. Anal. 196, No. 1, 162--179 (2002; Zbl 1023.60050) Full Text: DOI
Tanimura, Shogo Path integrals on Riemannian manifolds with symmetry and stratified Gauge structure. (English) Zbl 1090.58502 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 3rd international conference on geometry, integrability and quantization, Varna, Bulgaria, June 14–23, 2001. Sofia: Coral Press Scientific Publishing (ISBN 954-90618-3-3/pbk). 431-441 (2002). MSC: 58D30 58D19 58D20 81S40 PDF BibTeX XML Cite \textit{S. Tanimura}, in: Proceedings of the 3rd international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 14--23, 2001. Sofia: Coral Press Scientific Publishing. 431--441 (2002; Zbl 1090.58502) Full Text: arXiv
Aida, Shigeki; Zhang, Tusheng On the small time asymptotics of diffusion processes on path groups. (English) Zbl 0993.60026 Potential Anal. 16, No. 1, 67-78 (2002). Reviewer: Gheorghe Stoica (Saint John) MSC: 60H07 58J65 60F10 58D20 60J65 PDF BibTeX XML Cite \textit{S. Aida} and \textit{T. Zhang}, Potential Anal. 16, No. 1, 67--78 (2002; Zbl 0993.60026) Full Text: DOI
Fyodorov, Yan V.; Strahov, Eugene Characteristic polynomials of random Hermitian matrices and Duistermaat-Heckman localisation on non-compact Kähler manifolds. (English) Zbl 0994.15025 Nucl. Phys., B 630, No. 3, 453-491 (2002). MSC: 15B52 82B41 53D20 58D20 82B44 PDF BibTeX XML Cite \textit{Y. V. Fyodorov} and \textit{E. Strahov}, Nucl. Phys., B 630, No. 3, 453--491 (2002; Zbl 0994.15025) Full Text: DOI arXiv
Shavgulidze, E. T. Properties of the convolution operation for quasi-invariant measures on groups of diffeomorphisms of a circle. (English) Zbl 1186.58010 Russ. J. Math. Phys. 8, No. 4, 495-498 (2001). MSC: 58D20 28C20 58D05 PDF BibTeX XML Cite \textit{E. T. Shavgulidze}, Russ. J. Math. Phys. 8, No. 4, 495--498 (2001; Zbl 1186.58010)
Lyudkovskii, S. V. Gaussian measures on free loop spaces. (English. Russian original) Zbl 1123.58300 Russ. Math. Surv. 56, No. 5, 982-983 (2001); translation from Usp. Mat. Nauk 56, No. 5, 183-184 (2001). MSC: 58D20 28C20 PDF BibTeX XML Cite \textit{S. V. Lyudkovskii}, Russ. Math. Surv. 56, No. 5, 982--983 (2001; Zbl 1123.58300); translation from Usp. Mat. Nauk 56, No. 5, 183--184 (2001) Full Text: DOI
Driver, Bruce K.; Srimurthy, Vikram K. Absolute continuity of heat kernel measure with pinned Wiener measure on loop groups. (English) Zbl 1018.60059 Ann. Probab. 29, No. 2, 691-723 (2001). Reviewer: Jacques Franchi (Strasbourg) MSC: 60H07 58J65 58D20 PDF BibTeX XML Cite \textit{B. K. Driver} and \textit{V. K. Srimurthy}, Ann. Probab. 29, No. 2, 691--723 (2001; Zbl 1018.60059) Full Text: DOI
Airault, Hélène; Malliavin, Paul Unitarizing probability measures for representations of Virasoro algebra. (English) Zbl 1032.58021 J. Math. Pures Appl., IX. Sér. 80, No. 6, 627-667 (2001). Reviewer: Jacques Franchi (Strasbourg) MSC: 58J65 17B68 28C20 58D20 60H07 PDF BibTeX XML Cite \textit{H. Airault} and \textit{P. Malliavin}, J. Math. Pures Appl. (9) 80, No. 6, 627--667 (2001; Zbl 1032.58021) Full Text: DOI
Shimomura, Hiroaki Quasi-invariant measures on the group of diffeomorphisms and smooth vectors of unitary representations. (English) Zbl 0997.58004 J. Funct. Anal. 187, No. 2, 406-441 (2001). Reviewer: Nicolai Konstantinovish Smolentsev (Kemerovo) MSC: 58E05 58A20 22E65 57S05 58D20 PDF BibTeX XML Cite \textit{H. Shimomura}, J. Funct. Anal. 187, No. 2, 406--441 (2001; Zbl 0997.58004) Full Text: DOI
Thiemann, T.; Winkler, O. Gauge field theory coherent states (GCS). III: Ehrenfest theorems. (English) Zbl 0994.83023 Classical Quantum Gravity 18, No. 21, 4629-4681 (2001). Reviewer: Horst-Heino von Borzeszkowski (Berlin) MSC: 83C45 83C47 81T13 58D20 81R30 PDF BibTeX XML Cite \textit{T. Thiemann} and \textit{O. Winkler}, Classical Quantum Gravity 18, No. 21, 4629--4681 (2001; Zbl 0994.83023) Full Text: DOI arXiv
von Weizsäcker, H.; Smolyanov, O. G.; Wittich, O. Diffusion on compact Riemannian manifolds, and surface measures. (English. Russian original) Zbl 1047.58006 Dokl. Math. 61, No. 2, 230-234 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 371, No. 4, 442-447 (2000). MSC: 58J65 60J65 58D20 60A10 PDF BibTeX XML Cite \textit{H. von Weizsäcker} et al., Dokl. Math. 61, No. 2, 442--447 (2000; Zbl 1047.58006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 371, No. 4, 442--447 (2000)
Lyudkovskij, S. V. Quasi-invariant measures on loop groups of Riemannian manifolds. (English. Russian original) Zbl 1050.22024 Dokl. Math. 61, No. 1, 54-56 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 370, No. 3, 306-308 (2000). Reviewer: Maido Rahula (Tartu) MSC: 22E67 58B05 58D20 PDF BibTeX XML Cite \textit{S. V. Lyudkovskij}, Dokl. Math. 61, No. 1, 306--308 (2000; Zbl 1050.22024); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 370, No. 3, 306--308 (2000)
Fleischhack, Christian A new type of loop independence and SU\((N)\) quantum Yang-Mills theory in two dimensions. (English) Zbl 0976.58009 J. Math. Phys. 41, No. 1, 76-102 (2000). MSC: 58D20 53C29 81T13 PDF BibTeX XML Cite \textit{C. Fleischhack}, J. Math. Phys. 41, No. 1, 76--102 (2000; Zbl 0976.58009) Full Text: DOI
Daletskii, Yuri L.; Steblovskaya, Victoria R. Measures with smooth finite-dimensional projections. (English) Zbl 0971.60006 Korolyuk, V. (ed.) et al., Skorokhod’s ideas in probability theory. Kyïv: Institute of Mathematics of NAS of Ukraine. Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 32, 132-146 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60B11 58D20 46G12 58C35 28C20 PDF BibTeX XML Cite \textit{Y. L. Daletskii} and \textit{V. R. Steblovskaya}, in: Skorokhod's ideas in probability theory. Kyïv: Institute of Mathematics of NAS of Ukraine. 132--146 (2000; Zbl 0971.60006)
Brzeźniak, Zdisław; Elworthy, K. D. Stochastic differential equations on Banach manifolds. (English) Zbl 0965.58028 Methods Funct. Anal. Topol. 6, No. 1, 43-84 (2000). Reviewer: A.N.Kochubei (Kyïv) MSC: 58J65 58D20 58D15 46E35 46E50 35R15 60H10 PDF BibTeX XML Cite \textit{Z. Brzeźniak} and \textit{K. D. Elworthy}, Methods Funct. Anal. Topol. 6, No. 1, 43--84 (2000; Zbl 0965.58028)
Albeverio, Sergio; Daletskii, Alexei Quasi-invariance and Gibbs structure of diffusion measures on infinite product groups. (English) Zbl 0965.58027 Methods Funct. Anal. Topol. 6, No. 1, 28-42 (2000). Reviewer: A.N.Kochubei (Kyïv) MSC: 58J65 58D20 22E65 PDF BibTeX XML Cite \textit{S. Albeverio} and \textit{A. Daletskii}, Methods Funct. Anal. Topol. 6, No. 1, 28--42 (2000; Zbl 0965.58027)