Burq, Nicolas; Thomann, Laurent Almost sure scattering for the one dimensional nonlinear Schrödinger equation. (English) Zbl 07853547 Memoirs of the American Mathematical Society 1480. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6979-5/pbk; 978-1-4704-7817-9/ebook). vii, 87 p. (2024). Reviewer: Jiqiang Zheng (Beijing) MSC: 35-01 35Q55 35Q41 35-02 35P25 35R60 60F10 46T12 58D20 35A01 35A02 35B65 PDFBibTeX XMLCite \textit{N. Burq} and \textit{L. Thomann}, Almost sure scattering for the one dimensional nonlinear Schrödinger equation. Providence, RI: American Mathematical Society (AMS) (2024; Zbl 07853547) Full Text: DOI arXiv
Minh, Hà Quang Fisher-Rao Riemannian geometry of equivalent Gaussian measures on Hilbert space. (English) Zbl 1534.58010 Nielsen, Frank (ed.) et al., Geometric science of information. 6th international conference, GSI 2023, St. Malo, France, August 30 – September 1, 2023. Proceedings. Part I. Cham: Springer. Lect. Notes Comput. Sci. 14071, 416-425 (2023). MSC: 58D20 PDFBibTeX XMLCite \textit{H. Q. Minh}, Lect. Notes Comput. Sci. 14071, 416--425 (2023; Zbl 1534.58010) Full Text: DOI
Tlas, Tamer Yang-Mills as a constrained Gaussian. (English) Zbl 1534.81080 Adv. Theor. Math. Phys. 27, No. 2, 563-581 (2023). MSC: 81S40 70S15 14A21 26A24 70F20 58D20 70H45 PDFBibTeX XMLCite \textit{T. Tlas}, Adv. Theor. Math. Phys. 27, No. 2, 563--581 (2023; Zbl 1534.81080) Full Text: DOI arXiv
Kosyak, Alexandre; Moree, Pieter Irreducibility of the Koopman representations for the group \({\rm GL}_0(2\infty,{\mathbb R})\) acting on three infinite rows. arXiv:2307.11198 Preprint, arXiv:2307.11198 [math.RT] (2023). MSC: 22E65 28C20 43A80 58D20 BibTeX Cite \textit{A. Kosyak} and \textit{P. Moree}, ``Irreducibility of the Koopman representations for the group ${\rm GL}_0(2\infty,{\mathbb R})$ acting on three infinite rows'', Preprint, arXiv:2307.11198 [math.RT] (2023) Full Text: arXiv OA License
Jiang, Qianqian; Dai, Wanyang Reflecting time-space Gaussian random field on compact Riemannian manifold and excursion probability. (English) Zbl 1498.60141 Stochastics 94, No. 6, 865-890 (2022). MSC: 60G15 60G60 58D20 65C35 PDFBibTeX XMLCite \textit{Q. Jiang} and \textit{W. Dai}, Stochastics 94, No. 6, 865--890 (2022; Zbl 1498.60141) Full Text: DOI
Dimastrogiovanni, Ema; Fasiello, Matteo; Pinol, Lucas Primordial stochastic gravitational wave background anisotropies: in-in formalization and applications. (English) Zbl 1511.83045 J. Cosmol. Astropart. Phys. 2022, No. 9, Paper No. 31, 41 p. (2022). MSC: 83E05 58D20 81T32 81R30 83C35 62H20 74E10 PDFBibTeX XMLCite \textit{E. Dimastrogiovanni} et al., J. Cosmol. Astropart. Phys. 2022, No. 9, Paper No. 31, 41 p. (2022; Zbl 1511.83045) Full Text: DOI arXiv
Jain, Rajeev Kumar; Sai, P. Jishnu; Sloth, Martin S. On the primordial correlation of gravitons with gauge fields. (English) Zbl 1504.83029 J. Cosmol. Astropart. Phys. 2022, No. 3, Paper No. 54, 34 p. (2022). MSC: 83E05 83F05 58D20 78A25 81V25 62M10 81T32 53C21 35B20 83C45 PDFBibTeX XMLCite \textit{R. K. Jain} et al., J. Cosmol. Astropart. Phys. 2022, No. 3, Paper No. 54, 34 p. (2022; Zbl 1504.83029) Full Text: DOI arXiv
Enríquez, Miguel; Hidalgo, Juan Carlos; Valenzuela, Octavio Including relativistic and primordial non-Gaussianity contributions in cosmological simulations by modifying the initial conditions. (English) Zbl 1504.83037 J. Cosmol. Astropart. Phys. 2022, No. 3, Paper No. 48, 18 p. (2022). MSC: 83F05 35B20 85A15 30D40 83C56 58J47 70H03 74E05 70H45 58D20 47A10 PDFBibTeX XMLCite \textit{M. Enríquez} et al., J. Cosmol. Astropart. Phys. 2022, No. 3, Paper No. 48, 18 p. (2022; Zbl 1504.83037) Full Text: DOI arXiv
Korolev, S. B.; Golubeva, T. Yu. Error correction of the continuous-variable quantum hybrid computation on two-node cluster states: limit of squeezing. (English) Zbl 1496.81044 Phys. Lett., A 441, Article ID 128149, 8 p. (2022). MSC: 81P68 81R30 58D20 68M15 81P73 PDFBibTeX XMLCite \textit{S. B. Korolev} and \textit{T. Yu. Golubeva}, Phys. Lett., A 441, Article ID 128149, 8 p. (2022; Zbl 1496.81044) Full Text: DOI arXiv
Brzeźniak, Zdzisław; Gołdys, Ben; Ondreját, Martin; Rana, Nimit Large deviations for (1 + 1)-dimensional stochastic geometric wave equation. (English) Zbl 1498.60202 J. Differ. Equations 325, 1-69 (2022). Reviewer: Alexandra Rodkina (College Station) MSC: 60H10 58D20 34G20 46E35 35R15 46E50 PDFBibTeX XMLCite \textit{Z. Brzeźniak} et al., J. Differ. Equations 325, 1--69 (2022; Zbl 1498.60202) Full Text: DOI arXiv
Brzeźniak, Zdzisław; Jendrej, Jacek Statistical mechanics of the wave maps equation in dimension 1+1. arXiv:2206.13605 Preprint, arXiv:2206.13605 [math.AP] (2022). MSC: 35L71 58D20 37K06 BibTeX Cite \textit{Z. Brzeźniak} and \textit{J. Jendrej}, ``Statistical mechanics of the wave maps equation in dimension 1+1'', Preprint, arXiv:2206.13605 [math.AP] (2022) Full Text: arXiv OA License
Kong, Liang Spreading speeds of monostable equations in locally spatially variational habitat with hybrid dispersal. (English) Zbl 07905106 J. Appl. Anal. Comput. 11, No. 1, 81-100 (2021). MSC: 35K57 45G10 58D20 92D25 PDFBibTeX XMLCite \textit{L. Kong}, J. Appl. Anal. Comput. 11, No. 1, 81--100 (2021; Zbl 07905106) Full Text: DOI
Taoso, Marco; Urbano, Alfredo Non-Gaussianities for primordial black hole formation. (English) Zbl 1492.83069 J. Cosmol. Astropart. Phys. 2021, No. 8, Paper No. 16, 41 p. (2021). MSC: 83C57 83C56 83E05 58D20 PDFBibTeX XMLCite \textit{M. Taoso} and \textit{A. Urbano}, J. Cosmol. Astropart. Phys. 2021, No. 8, Paper No. 16, 41 p. (2021; Zbl 1492.83069) Full Text: DOI arXiv
Eshimbetov, M. R. On extensions and restrictions of \(\tau\)-maxitive idempotent measures. (English) Zbl 1499.28021 Uzb. Math. J. 65, No. 3, 71-80 (2021). MSC: 28C10 46G12 58D20 PDFBibTeX XMLCite \textit{M. R. Eshimbetov}, Uzb. Math. J. 65, No. 3, 71--80 (2021; Zbl 1499.28021) Full Text: DOI
Moughal, M. Z. A.; Lim, W. C. Cylindrical spikes. (English) Zbl 1481.83114 Classical Quantum Gravity 38, No. 7, Article ID 075029, 22 p. (2021). MSC: 83F05 83C05 83C55 83C40 58D20 PDFBibTeX XMLCite \textit{M. Z. A. Moughal} and \textit{W. C. Lim}, Classical Quantum Gravity 38, No. 7, Article ID 075029, 22 p. (2021; Zbl 1481.83114) Full Text: DOI arXiv
Peraza, Javier; Paternain, Miguel; Reisenberger, Michael On the classical and quantum Geroch group. (English) Zbl 1479.83095 Classical Quantum Gravity 38, No. 1, Article ID 015013, 58 p. (2021). MSC: 83C45 58D20 83C35 53D10 17B63 53D17 83C30 46L05 PDFBibTeX XMLCite \textit{J. Peraza} et al., Classical Quantum Gravity 38, No. 1, Article ID 015013, 58 p. (2021; Zbl 1479.83095) Full Text: DOI arXiv
Morimoto, Masahiro On weakly reflective PF submanifolds in Hilbert spaces. (English) Zbl 1483.46076 Tokyo J. Math. 44, No. 1, 103-124 (2021). MSC: 46T05 58D20 53C42 58B15 PDFBibTeX XMLCite \textit{M. Morimoto}, Tokyo J. Math. 44, No. 1, 103--124 (2021; Zbl 1483.46076) Full Text: DOI arXiv
Cascarano, Pasquale; Frosini, Patrizio; Quercioli, Nicola; Saki, Amir On the geometric and Riemannian structure of the spaces of group equivariant non-expansive operators. arXiv:2103.02543 Preprint, arXiv:2103.02543 [math.DG] (2021). MSC: 55N31 58D20 58D30 62R40 65D18 68T09 BibTeX Cite \textit{P. Cascarano} et al., ``On the geometric and Riemannian structure of the spaces of group equivariant non-expansive operators'', Preprint, arXiv:2103.02543 [math.DG] (2021) Full Text: arXiv OA License
Berra-Montiel, Jasel The polymer representation for the scalar field: a Wigner functional approach. (English) Zbl 1478.83078 Classical Quantum Gravity 37, No. 2, Article ID 025006, 15 p. (2020). MSC: 83C45 53D55 81S30 58D20 PDFBibTeX XMLCite \textit{J. Berra-Montiel}, Classical Quantum Gravity 37, No. 2, Article ID 025006, 15 p. (2020; Zbl 1478.83078) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{K. Baron}, Aequationes Math. 94, No. 3, 415--425 (2020; Zbl 1443.39012) Full Text: DOI OA License
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 PDFBibTeX XMLCite \textit{D. Cheng} and \textit{A. Schwartzman}, Stat. Probab. Lett. 158, Article ID 108672, 5 p. (2020; Zbl 1453.60083) Full Text: DOI arXiv
Batubenge, Augustin T.; Haziyu, Wallace M. Induced Riemannian Structure on a Reduced Symplectic Manifold. arXiv:2001.01346 Preprint, arXiv:2001.01346 [math.DG] (2020). MSC: 53C15 53C20 53D35 46G20 58D20 BibTeX Cite \textit{A. T. Batubenge} and \textit{W. M. Haziyu}, ``Induced Riemannian Structure on a Reduced Symplectic Manifold'', Preprint, arXiv:2001.01346 [math.DG] (2020) Full Text: arXiv OA License
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 PDFBibTeX XMLCite \textit{Yu. M. Berezansky}, Methods Funct. Anal. Topol. 25, No. 3, 197--204 (2019; Zbl 1449.28013) Full Text: Link
Itoh, Mitsuhiro; Satoh, Hiroyasu Riemannian distance and diameter of the space of probability measures and the parametrix. (English) Zbl 1458.60012 Nielsen, Frank (ed.) et al., Geometric science of information. 4th international conference, GSI 2019, Toulouse, France, August 27–29, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11712, 462-471 (2019). MSC: 60B05 58D20 60D05 62B99 PDFBibTeX XMLCite \textit{M. Itoh} and \textit{H. Satoh}, Lect. Notes Comput. Sci. 11712, 462--471 (2019; Zbl 1458.60012) Full Text: DOI
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{J. Jost} et al., Commun. Anal. Geom. 27, No. 8, 1799--1823 (2019; Zbl 1436.58009) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{G. Da Prato} et al., J. Math. Pures Appl. (9) 128, 42--86 (2019; Zbl 1418.35074) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{A. Kosyak}, J. Funct. Anal. 276, No. 1, 78--126 (2019; Zbl 1403.22020) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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 Link
Halakatti, S. C. P.; Baddi, Soubhagya On Radon measure manifold. (English) Zbl 1478.58007 J. Tensor Soc. (N.S.) 11, 13-24 (2017). MSC: 58D20 28C05 PDFBibTeX XMLCite \textit{S. C. P. Halakatti} and \textit{S. Baddi}, J. Tensor Soc. (N.S.) 11, 13--24 (2017; Zbl 1478.58007) Full Text: Link
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 PDFBibTeX XMLCite \textit{A. Mironov} et al., Nucl. Phys., B 924, 1--32 (2017; Zbl 1373.81303) Full Text: DOI arXiv OA License
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 PDFBibTeX XMLCite \textit{D. Alpay} et al., J. Theor. Probab. 30, No. 3, 813--841 (2017; Zbl 1388.60081) Full Text: DOI arXiv
Dasgupta, Amites; Datta, Mahuya A Measure on the space of Lipschitz isometric maps of a compact 1-manifold into \(\mathbb R^2\). arXiv:1605.02900 Preprint, arXiv:1605.02900 [math.PR] (2016). MSC: 58D20 58J99 60B05 28C20 BibTeX Cite \textit{A. Dasgupta} and \textit{M. Datta}, ``A Measure on the space of Lipschitz isometric maps of a compact 1-manifold into $\mathbb R^2$'', Preprint, arXiv:1605.02900 [math.PR] (2016) Full Text: arXiv OA License
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 arXiv
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 PDFBibTeX XMLCite \textit{H. Airault} et al., Bull. Sci. Math. 139, No. 5, 558--581 (2015; Zbl 1325.47051) Full Text: DOI
Pickrell, Doug Solving for Root Subgroup Coordinates: The SU(2) Case. arXiv:1509.05947 Preprint, arXiv:1509.05947 [math.GR] (2015). MSC: 58D20 22E65 22E67 BibTeX Cite \textit{D. Pickrell}, ``Solving for Root Subgroup Coordinates: The SU(2) Case'', Preprint, arXiv:1509.05947 [math.GR] (2015) Full Text: arXiv OA License
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{F. Cavalletti} and \textit{M. Huesmann}, Bull. Lond. Math. Soc. 46, No. 3, 653--656 (2014; Zbl 1306.53065) Full Text: DOI arXiv
Le-Bert, Rodrigo Vargas Cylinder Measures in Renormalization Theory. arXiv:1412.0052 Preprint, arXiv:1412.0052 [math-ph] (2014). MSC: 81T08 81T16 60G60 58D20 BibTeX Cite \textit{R. V. Le-Bert}, ``Cylinder Measures in Renormalization Theory'', Preprint, arXiv:1412.0052 [math-ph] (2014) Full Text: arXiv OA License
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 arXiv
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 PDFBibTeX XMLCite \textit{M. Kapranov}, Prog. Math. 270, 49--87 (2009; Zbl 1204.58008) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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
Dynov, Ivan; Kosyak, Alexandre The type \({\rm III_1}\) factor generated by regular representations of the infinite dimensional nilpotent group \(B_0^\mathbb Z\). arXiv:0907.4645 Preprint, arXiv:0907.4645 [math.OA] (2009). MSC: 22E65 28C20 43A80 58D20 BibTeX Cite \textit{I. Dynov} and \textit{A. Kosyak}, ``The type ${\rm III_1}$ factor generated by regular representations of the infinite dimensional nilpotent group $B_0^\mathbb Z$'', Preprint, arXiv:0907.4645 [math.OA] (2009) Full Text: arXiv OA License
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{D. D. Cox} et al., SIAM J. Math. Anal. 39, No. 5, 1472--1496 (2008; Zbl 1148.60051) Full Text: DOI Link
Lott, John Some geometric calculations on Wasserstein space. (English) Zbl 1144.58007 Commun. Math. Phys. 277, No. 2, 423-437 (2008). MSC: 58D20 58B20 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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) Full Text: arXiv
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 PDFBibTeX XMLCite \textit{R. Léandre}, SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 003, 4 p. (2006; Zbl 1103.58006) Full Text: DOI arXiv EuDML EMIS
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 arXiv
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{R. Léandre}, Ukr. Mat. Zh. 57, No. 9, 1284--1288 (2005; Zbl 1093.58006) Full Text: DOI Link
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{F. Labourie}, Ann. Math. (2) 161, No. 1, 105--140 (2005; Zbl 1077.53050) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{T. Lévy}, Sémin. Théor. Spectr. Géom. 21, 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 PDFBibTeX XMLCite \textit{R. Léandre}, Rep. Math. Phys. 51, No. 2--3, 269--274 (2003; Zbl 1056.58013) Full Text: DOI