Yang, Fan; Yau, Horng-Tzer; Yin, Jun Delocalization and quantum diffusion of random band matrices in high dimensions. II: \(T\)-expansion. (English) Zbl 1501.60004 Commun. Math. Phys. 396, No. 2, 527-622 (2022). MSC: 60B20 60J60 81T99 PDFBibTeX XMLCite \textit{F. Yang} et al., Commun. Math. Phys. 396, No. 2, 527--622 (2022; Zbl 1501.60004) Full Text: DOI arXiv
Tanasa, Adrian The multi-orientable random tensor model, a review. (English) Zbl 1385.60011 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 056, 23 p. (2016). MSC: 60B20 05C90 81Q30 81T99 PDFBibTeX XMLCite \textit{A. Tanasa}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 056, 23 p. (2016; Zbl 1385.60011) Full Text: DOI arXiv
Chapling, Richard Note on Closed-Form Expressions for Irreducible Loop Integrals. arXiv:1608.05311 Preprint, arXiv:1608.05311 [hep-th] (2016). MSC: 41A60 81T99 60F25 BibTeX Cite \textit{R. Chapling}, ``Note on Closed-Form Expressions for Irreducible Loop Integrals'', Preprint, arXiv:1608.05311 [hep-th] (2016) Full Text: arXiv OA License
Berman, Robert J. Determinantal point processes and fermions on complex manifolds: large deviations and bosonization. (English) Zbl 1337.60093 Commun. Math. Phys. 327, No. 1, 1-47 (2014). Reviewer: Evgueni Spodarev (Ulm) MSC: 60G55 60F10 60G57 60B20 60K40 58Z05 81T99 PDFBibTeX XMLCite \textit{R. J. Berman}, Commun. Math. Phys. 327, No. 1, 1--47 (2014; Zbl 1337.60093) Full Text: DOI arXiv
Møller, Jacob Schach A Remark on Wick Ordering of Random Variables. arXiv:1310.7257 Preprint, arXiv:1310.7257 [math-ph] (2013). MSC: 81T99 60G60 BibTeX Cite \textit{J. S. Møller}, ``A Remark on Wick Ordering of Random Variables'', Preprint, arXiv:1310.7257 [math-ph] (2013) Full Text: arXiv OA License
Wei, Yi; Fyodorov, Yan V. A conjecture on Hubbard-Stratonovich transformations for the Pruisken-Schäfer parameterizations of real hyperbolic domains. (English) Zbl 1155.82011 J. Phys. A, Math. Theor. 40, No. 45, 13587-13605 (2007). MSC: 82B44 43A80 60E10 81R05 81T99 82B10 PDFBibTeX XMLCite \textit{Y. Wei} and \textit{Y. V. Fyodorov}, J. Phys. A, Math. Theor. 40, No. 45, 13587--13605 (2007; Zbl 1155.82011) Full Text: DOI arXiv
Shirai, Tomoyuki; Takahashi, Yoichiro Random point fields associated with fermion, boson and other statistics. (English) Zbl 1095.60012 Funaki, Tadahisa (ed.) et al., Stochastic analysis on large scale interacting systems. Papers from the 11th international conference, Hayama, Japan, July 17–26, 2002 and the international conference on stochastic analysis and statistical mechanics, Kyoto, Japan, July 29–30, 2002. Tokyo: Mathematical Society of Japan (ISBN 4-931469-24-8/hbk). Advanced Studies in Pure Mathematics 39, 345-354 (2004). Reviewer: Uwe Franz (Besançon) MSC: 60G60 81T99 60E99 PDFBibTeX XMLCite \textit{T. Shirai} and \textit{Y. Takahashi}, Adv. Stud. Pure Math. 39, 345--354 (2004; Zbl 1095.60012)
Kobryn, A. E.; Hayashi, T.; Arimitsu, T. Quantum stochastic differential equations for boson and fermion systems – method of non-equilibrium thermo field dynamics. (English) Zbl 1044.81076 Ann. Phys. 308, No. 2, 395-446 (2003). Reviewer: Nicolas Privault (La Rochelle) MSC: 81S25 81T99 60G44 60H15 82C31 60H25 65C05 PDFBibTeX XMLCite \textit{A. E. Kobryn} et al., Ann. Phys. 308, No. 2, 395--446 (2003; Zbl 1044.81076) Full Text: DOI arXiv
Albeverio, Sergio; Yoshida, Minoru W. \(H\)-\(C^1\) maps and elliptic SPDEs with polynomial and exponential perturbations of Nelson’s Euclidean free field. (English) Zbl 1015.60052 J. Funct. Anal. 196, No. 2, 265-322 (2002). Reviewer: Tomasz Bojdecki (Warszawa) MSC: 60H15 60H40 81T99 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{M. W. Yoshida}, J. Funct. Anal. 196, No. 2, 265--322 (2002; Zbl 1015.60052) Full Text: DOI
Berezansky, Yu. M.; Mierzejewski, D. A. The chaotic decomposition for the gamma field. (English. Russian original) Zbl 0994.60068 Funct. Anal. Appl. 35, No. 4, 305-308 (2001); translation from Funkts. Anal. Prilozh. 35, No. 4, 81-84 (2001). Reviewer: A.S.Holevo (Moskva) MSC: 60H05 81S40 81T99 46N50 PDFBibTeX XMLCite \textit{Yu. M. Berezansky} and \textit{D. A. Mierzejewski}, Funct. Anal. Appl. 35, No. 4, 305--308 (2001; Zbl 0994.60068); translation from Funkts. Anal. Prilozh. 35, No. 4, 81--84 (2001) Full Text: DOI
Kondratiev, Yuri G.; Lytvynov, Eugene W. Operators of gamma white noise calculus. (English) Zbl 1081.60536 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 3, No. 3, 303-335 (2000). MSC: 60H40 47N30 81S25 81T99 PDFBibTeX XMLCite \textit{Y. G. Kondratiev} and \textit{E. W. Lytvynov}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 3, No. 3, 303--335 (2000; Zbl 1081.60536) Full Text: DOI
Hochberg, David; Molina-París, Carmen; Pérez-Mercader, Juan; Visser, Matt Effective action for stochastic partial differential equations. (English) Zbl 1062.82512 Phys. Rev. E (3) 60, No. 6, Part A, 6343-6360 (1999). MSC: 82C31 81T99 60H15 60H40 PDFBibTeX XMLCite \textit{D. Hochberg} et al., Phys. Rev. E (3) 60, No. 6, Part A, 6343--6360 (1999; Zbl 1062.82512) Full Text: DOI arXiv
Gielerak, R.; Ługiewicz, P. From stochastic differential equation to quantum field theory. (English) Zbl 0964.81060 Rep. Math. Phys. 44, No. 1-2, 101-110 (1999). MSC: 81T99 35S99 60H99 81S20 PDFBibTeX XMLCite \textit{R. Gielerak} and \textit{P. Ługiewicz}, Rep. Math. Phys. 44, No. 1--2, 101--110 (1999; Zbl 0964.81060) Full Text: DOI arXiv
Lee, Yuh-Jia; Stan, Aurel An infinite-dimensional Heisenberg uncertainty principle. (English) Zbl 0939.46020 Taiwanese J. Math. 3, No. 4, 529-538 (1999). MSC: 46E50 46G12 81T99 60H99 28C20 60B05 81S99 PDFBibTeX XMLCite \textit{Y.-J. Lee} and \textit{A. Stan}, Taiwanese J. Math. 3, No. 4, 529--538 (1999; Zbl 0939.46020) Full Text: DOI
Becker, Claas; Gottschalk, Hanno; Wu, Jiang-Lun Generalized random vector fields and Euclidean quantum vector fields. (English) Zbl 0939.60046 Dalang, Robert C. (ed.) et al., Seminar on Stochastic analysis, random fields and applications. Centro Stefano Franscini, Ascona, Italy, September 1996. Basel: Birkhäuser. Prog. Probab. 45, 15-24 (1999). Reviewer: Váslaw Burjan (Praha) MSC: 60G60 81T99 PDFBibTeX XMLCite \textit{C. Becker} et al., Prog. Probab. 45, 15--24 (1999; Zbl 0939.60046)
Gausterer, H.; Thaler, H. Complex Langevin for semisimple compact connected Lie groups and \(U(1)\). (English) Zbl 0925.22007 J. Phys. A, Math. Gen. 31, No. 11, 2541-2549 (1998). MSC: 22E70 81T99 60H10 PDFBibTeX XMLCite \textit{H. Gausterer} and \textit{H. Thaler}, J. Phys. A, Math. Gen. 31, No. 11, 2541--2549 (1998; Zbl 0925.22007) Full Text: DOI
Burnol, Jean-Francois The Explicit Formula and a Propagator. arXiv:math/9809119 Preprint, arXiv:math/9809119 [math.NT] (1998). MSC: 11M26 11R42 60G20 81T99 BibTeX Cite \textit{J.-F. Burnol}, ``The Explicit Formula and a Propagator'', Preprint, arXiv:math/9809119 [math.NT] (1998) Full Text: arXiv
Missarov, M. D. \(p\)-adic \(\varphi^ 4\)-theory as a functional equation problem. (English) Zbl 0872.60088 Lett. Math. Phys. 39, No. 3, 253-260 (1997). MSC: 60K35 82B28 81T99 46S10 PDFBibTeX XMLCite \textit{M. D. Missarov}, Lett. Math. Phys. 39, No. 3, 253--260 (1997; Zbl 0872.60088) Full Text: DOI
Kreinovich, Vladik; Longpré, Luc Nonstandard (non-\(\sigma\)-additive) probabilities in algebraic quantum field theory. (English) Zbl 0891.60005 Int. J. Theor. Phys. 36, No. 7, 1601-1615 (1997). MSC: 60A99 81T99 PDFBibTeX XMLCite \textit{V. Kreinovich} and \textit{L. Longpré}, Int. J. Theor. Phys. 36, No. 7, 1601--1615 (1997; Zbl 0891.60005) Full Text: DOI
Bach, Alexander Emergence of the simultaneous continuous and discrete structure of the electromagnetic field. (English) Zbl 0834.60106 Rev. Math. Phys. 7, No. 1, 1-19 (1995). MSC: 60K40 81T99 PDFBibTeX XMLCite \textit{A. Bach}, Rev. Math. Phys. 7, No. 1, 1--19 (1995; Zbl 0834.60106) Full Text: DOI
Cruzeiro, A. B.; Haba, Z.; Zambrini, J. C. Bernstein diffusions and Euclidean quantum field theory. (English) Zbl 0835.60036 Bolthausen, Erwin (ed.) et al., Seminar on stochastic analysis, random fields and applications. Proceedings of a seminar held at the Centro Stefano Franscini, Ascona, Switzerland, June 7-12, 1993. Basel: Birkhäuser. Prog. Probab. 36, 77-97 (1995). Reviewer: Ph.Biane (Paris) MSC: 60G20 60H07 81P20 81T99 PDFBibTeX XMLCite \textit{A. B. Cruzeiro} et al., Prog. Probab. 36, 77--97 (1995; Zbl 0835.60036)
Khrennikov, A. Yu. \(p\)-adic statistical models. (English. Russian original) Zbl 0813.60003 Russ. Acad. Sci., Dokl., Math. 47, No. 3, 477-482 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 330, No. 3, 300-303 (1993). Reviewer: G.G.Vrănceanu (Bucureşti) MSC: 60A99 81S99 12J12 81T99 PDFBibTeX XMLCite \textit{A. Yu. Khrennikov}, Russ. Acad. Sci., Dokl., Math. 47, No. 3, 1 (1993; Zbl 0813.60003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 330, No. 3, 300--303 (1993)
Obata, Nobuaki An analytic characterization of symbols of operators on white noise functionals. (English) Zbl 0785.46042 J. Math. Soc. Japan 45, No. 3, 421-445 (1993). Reviewer: N.Obata (Nagoya) MSC: 46F25 46G20 60H99 81T99 60J65 81S20 PDFBibTeX XMLCite \textit{N. Obata}, J. Math. Soc. Japan 45, No. 3, 421--445 (1993; Zbl 0785.46042) Full Text: DOI
Muraskin, M. Summation-over-paths degree of freedom and the loop lattice. (English) Zbl 0724.58061 Appl. Math. Comput. 42, No. 2, 197-207 (1991). MSC: 37-XX 70Sxx 81T99 60J99 PDFBibTeX XMLCite \textit{M. Muraskin}, Appl. Math. Comput. 42, No. 2, 197--207 (1991; Zbl 0724.58061) Full Text: DOI
Freudenberg, Wolfgang Characterization of states of infinite boson systems. II: On the existence of the conditional reduced density matrix. (English) Zbl 0723.60053 Commun. Math. Phys. 137, No. 3, 461-472 (1991). MSC: 60G55 82B26 81Q15 81S20 81T99 PDFBibTeX XMLCite \textit{W. Freudenberg}, Commun. Math. Phys. 137, No. 3, 461--472 (1991; Zbl 0723.60053) Full Text: DOI
Fichtner, Karl-Heinz; Freudenberg, Wolfgang Characterization of states of infinite boson systems. I: On the construction of states of boson systems. (English) Zbl 0723.60052 Commun. Math. Phys. 137, No. 2, 315-357 (1991). MSC: 60G55 82B26 81S20 81T99 PDFBibTeX XMLCite \textit{K.-H. Fichtner} and \textit{W. Freudenberg}, Commun. Math. Phys. 137, No. 2, 315--357 (1991; Zbl 0723.60052) Full Text: DOI
Jona-Lasinio, G.; Sénéor, R. On a class of stochastic reaction-diffusion equations in two space dimensions. (English) Zbl 0745.60058 J. Phys. A, Math. Gen. 24, No. 17, 4123-4128 (1991). MSC: 60H10 60K40 81T99 PDFBibTeX XMLCite \textit{G. Jona-Lasinio} and \textit{R. Sénéor}, J. Phys. A, Math. Gen. 24, No. 17, 4123--4128 (1991; Zbl 0745.60058) Full Text: DOI
Hemion, Geoffrey Quantum mechanics in a discrete model of classical physics. (English) Zbl 0716.60134 Int. J. Theor. Phys. 29, No. 12, 1335-1368 (1990). MSC: 60K40 81T99 PDFBibTeX XMLCite \textit{G. Hemion}, Int. J. Theor. Phys. 29, No. 12, 1335--1368 (1990; Zbl 0716.60134) Full Text: DOI
Spohn, H.; Stückl, R.; Wreszinski, W. Localisation for the spin J-boson Hamiltonian. (English) Zbl 0711.60108 Ann. Inst. Henri Poincaré, Phys. Théor. 53, No. 2, 225-244 (1990). MSC: 60K40 81Q50 81T99 PDFBibTeX XMLCite \textit{H. Spohn} et al., Ann. Inst. Henri Poincaré, Phys. Théor. 53, No. 2, 225--244 (1990; Zbl 0711.60108) Full Text: Numdam EuDML
Buendía, Gloria M. Comparison between the Langevin and the hybrid simulation techniques for a free field theory. (English) Zbl 0708.60106 J. Phys. A, Math. Gen. 22, No. 23, 5065-5072 (1989). MSC: 60K99 81T99 65C05 PDFBibTeX XMLCite \textit{G. M. Buendía}, J. Phys. A, Math. Gen. 22, No. 23, 5065--5072 (1989; Zbl 0708.60106) Full Text: DOI
Carlen, E. Functional calculus and a closer look at quantum fields. (English) Zbl 0678.60101 Stochastic analysis, path integration and dynamics, Proc. Summer Stochastics Symp., Warwick/UK 1987, Pitman Res. Notes Math. Ser. 200, 45-54 (1989). Reviewer: W.Karwowski MSC: 60K35 81T99 60H15 PDFBibTeX XML
Klauder, John R. Stochastic quantisation: Theme and variation. (English) Zbl 0652.60088 Quantum field theory and quantum statistics, Essays Hon. 60th Birthday E. S. Fradkin, Vol. 1, 577-586 (1987). Reviewer: G.Gerlich MSC: 60J70 81T99 PDFBibTeX XML
Dynkin, E. B. Functionals associated with self-intersections of the planar Brownian motion. (English) Zbl 0617.60080 Probabilités XX, Proc. Sémin., Strasbourg 1984/85, Lect. Notes Math. 1204, 553-571 (1986). Reviewer: N.M.Zinchenko MSC: 60J65 60G60 60G15 81T99 PDFBibTeX XML Full Text: Numdam EuDML
Rosen, Jay Tanaka’s formula and renormalization for intersections of planar Brownian motion. (English) Zbl 0617.60079 Ann. Probab. 14, 1245-1251 (1986). Reviewer: N.M.Zinchenko MSC: 60J65 60H05 60J45 81T99 PDFBibTeX XMLCite \textit{J. Rosen}, Ann. Probab. 14, 1245--1251 (1986; Zbl 0617.60079) Full Text: DOI
Creamer, Dennis B.; Thacker, H. B.; Wilkinson, David A study of correlation functions for the delta-function Bose gas. (English) Zbl 0603.58052 Physica D 20, 155-186 (1986). MSC: 58J90 81T99 82B40 60K35 PDFBibTeX XMLCite \textit{D. B. Creamer} et al., Physica D 20, 155--186 (1986; Zbl 0603.58052) Full Text: DOI
Röckner, Michael Generalized Markov fields and Dirichlet forms. (English) Zbl 0588.60044 Acta Appl. Math. 3, 285-311 (1985). Reviewer: S.Kusuoka MSC: 60G60 31C25 60J45 81T99 PDFBibTeX XMLCite \textit{M. Röckner}, Acta Appl. Math. 3, 285--311 (1985; Zbl 0588.60044) Full Text: DOI
Rumpf, Helmut Stochastic quantization and gravity. (English) Zbl 0566.60002 Non-linear equations in classical and quantum field theory, Proc. Semin., Paris 1983-1984, Lect. Notes Phys. 226, 355-385 (1985). MSC: 60A99 83C45 81P20 81T99 PDFBibTeX XML
Hida, T. Generalized Brownian functionals and stochastic integrals. (English) Zbl 0565.60050 Appl. Math. Optimization 12, 115-123 (1984). Reviewer: S.Takenaka MSC: 60H05 60G15 60G20 81T99 PDFBibTeX XMLCite \textit{T. Hida}, Appl. Math. Optim. 12, 115--123 (1984; Zbl 0565.60050) Full Text: DOI
Chaturvedi, S.; Kapoor, A. K.; Srinivasan, V. A superspace formulation of the stochastic quantisation method. (English) Zbl 0563.60100 J. Phys. A 17, 2037-2045 (1984). Reviewer: W.Guz MSC: 60K99 81T08 81T99 PDFBibTeX XMLCite \textit{S. Chaturvedi} et al., J. Phys. A, Math. Gen. 17, 2037--2045 (1984; Zbl 0563.60100) Full Text: DOI Link
Harris, A. B.; Lubensky, T. C. Field theoretic approaches to biconnectedness in percolating systems. (English) Zbl 0522.60098 J. Phys. A 16, 365-373 (1983). MSC: 60K35 82B20 81T99 PDFBibTeX XMLCite \textit{A. B. Harris} and \textit{T. C. Lubensky}, J. Phys. A, Math. Gen. 16, 365--373 (1983; Zbl 0522.60098) Full Text: DOI Link
Barnett, C.; Streater, R. F.; Wilde, I. F. Quasi-free quantum stochastic integrals for the CAR and CCR. (English) Zbl 0513.60063 J. Funct. Anal. 52, 19-47 (1983). MSC: 60H99 46L51 46L53 46L54 81T99 60G44 PDFBibTeX XMLCite \textit{C. Barnett} et al., J. Funct. Anal. 52, 19--47 (1983; Zbl 0513.60063) Full Text: DOI
Surgailis, D. On Poisson multiple stochastic integrals and associated equilibrium Markov processes. (English) Zbl 0511.60047 Theory and application of random fields, Proc. IFIP-WG 7/1 Working Conf., Bangalore/India 1982, Lect. Notes Control Inf. Sci. 49, 233-248 (1983). MSC: 60G60 60J55 81T99 PDFBibTeX XML
Enss, Volker Scaling limits of generalized random processes. (English) Zbl 0475.60019 Quantum fields - algebras, processes, Proc. Symp., Bielefeld 1978, 107-124 (1980). MSC: 60F05 81T99 60G20 PDFBibTeX XML
Davies, E. B. A model of atomic radiation. (English) Zbl 0386.46059 Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 28, 91-110 (1978). MSC: 46N99 47A55 47F05 81Q15 81T99 60G20 81V80 35J10 PDFBibTeX XMLCite \textit{E. B. Davies}, Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 28, 91--110 (1978; Zbl 0386.46059) Full Text: Numdam EuDML
Streater, R. F. Infinitely divisible representations of Lie algebras. (English) Zbl 0199.35202 Z. Wahrscheinlichkeitstheor. Verw. Geb. 19, 67-80 (1971). MSC: 17B15 17B10 81T99 60E99 PDFBibTeX XMLCite \textit{R. F. Streater}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 19, 67--80 (1971; Zbl 0199.35202) Full Text: DOI