Pawlowski, Jan M.; Schneider, Coralie S.; Wink, Nicolas QMeS-Derivation: Mathematica package for the symbolic derivation of functional equations. (English) Zbl 07666782 Comput. Phys. Commun. 287, Article ID 108711, 21 p. (2023). MSC: 82Bxx PDF BibTeX XML Cite \textit{J. M. Pawlowski} et al., Comput. Phys. Commun. 287, Article ID 108711, 21 p. (2023; Zbl 07666782) Full Text: DOI arXiv
Xu, Zhiguo; Xu, Lin; Li, Wenlei; Shi, Shaoyun Renormalization group method for singular perturbation initial value problems with delays. (English) Zbl 1505.34112 Mediterr. J. Math. 20, No. 2, Paper No. 73, 22 p. (2023). MSC: 34K26 PDF BibTeX XML Cite \textit{Z. Xu} et al., Mediterr. J. Math. 20, No. 2, Paper No. 73, 22 p. (2023; Zbl 1505.34112) Full Text: DOI
Tanaka, Gota; Tsuchiya, Asato Higher-derivative extension of the functional renormalization group. (English) Zbl 1497.81080 PTEP, Prog. Theor. Exper. Phys. 2022, No. 6, Article ID 063B02, 12 p. (2022). MSC: 81T10 81T17 81T12 34K37 PDF BibTeX XML Cite \textit{G. Tanaka} and \textit{A. Tsuchiya}, PTEP, Prog. Theor. Exper. Phys. 2022, No. 6, Article ID 063B02, 12 p. (2022; Zbl 1497.81080) Full Text: DOI arXiv
Millington, Peter; Saffin, Paul M. Benchmarking regulator-sourced 2PI and average 1PI flow equations in zero dimensions. (English) Zbl 07654992 J. Phys. A, Math. Theor. 54, No. 46, Article ID 465401, 19 p. (2021). MSC: 81T17 81T10 PDF BibTeX XML Cite \textit{P. Millington} and \textit{P. M. Saffin}, J. Phys. A, Math. Theor. 54, No. 46, Article ID 465401, 19 p. (2021; Zbl 07654992) Full Text: DOI arXiv
Guo, Lihong; Chen, YangQuan; Shi, Shaoyun; West, Bruce J. Renormalization group and fractional calculus methods in a complex world: a review. (English) Zbl 1488.81034 Fract. Calc. Appl. Anal. 24, No. 1, 5-53 (2021). MSC: 81T17 26A33 82B28 34A08 35R11 60G22 35B25 34K26 34E20 PDF BibTeX XML Cite \textit{L. Guo} et al., Fract. Calc. Appl. Anal. 24, No. 1, 5--53 (2021; Zbl 1488.81034) Full Text: DOI
Huber, Markus Q.; Cyrol, Anton K.; Pawlowski, Jan M. DoFun 3.0: functional equations in Mathematica. (English) Zbl 07678484 Comput. Phys. Commun. 248, Article ID 107058, 10 p. (2020). MSC: 81-XX 39-XX PDF BibTeX XML Cite \textit{M. Q. Huber} et al., Comput. Phys. Commun. 248, Article ID 107058, 10 p. (2020; Zbl 07678484) Full Text: DOI arXiv
Kaupužs, J.; Melnik, R. V. N. A new method of solution of the Wetterich equation and its applications. (English) Zbl 07645244 J. Phys. A, Math. Theor. 53, No. 41, Article ID 415002, 40 p. (2020). MSC: 82B28 82B10 PDF BibTeX XML Cite \textit{J. Kaupužs} and \textit{R. V. N. Melnik}, J. Phys. A, Math. Theor. 53, No. 41, Article ID 415002, 40 p. (2020; Zbl 07645244) Full Text: DOI
Daas, Jesse; Oosters, Wouter; Saueressig, Frank; Wang, Jian Asymptotically safe gravity with fermions. (English) Zbl 1473.81124 Phys. Lett., B 809, Article ID 135775, 8 p. (2020). MSC: 81T17 83C30 81V17 81Q35 81V74 83C05 53E10 PDF BibTeX XML Cite \textit{J. Daas} et al., Phys. Lett., B 809, Article ID 135775, 8 p. (2020; Zbl 1473.81124) Full Text: DOI arXiv
Wang, Yiling; Xie, Feng Renormalization group analysis of weakly nonlinear oscillators with time delay. (English) Zbl 1463.34156 J. Shanghai Norm. Univ., Nat. Sci. 49, No. 3, 270-279 (2020). MSC: 34C15 34K25 34K07 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{F. Xie}, J. Shanghai Norm. Univ., Nat. Sci. 49, No. 3, 270--279 (2020; Zbl 1463.34156)
Knorr, Benjamin; Ripken, Chris; Saueressig, Frank Form factors in asymptotic safety: conceptual ideas and computational toolbox. (English) Zbl 1478.83093 Classical Quantum Gravity 36, No. 23, Article ID 234001, 44 p. (2019). MSC: 83C45 81T17 83C30 47G20 83C75 PDF BibTeX XML Cite \textit{B. Knorr} et al., Classical Quantum Gravity 36, No. 23, Article ID 234001, 44 p. (2019; Zbl 1478.83093) Full Text: DOI arXiv
Oh, Tadahiro; Thomann, Laurent A Pedestrian approach to the invariant Gibbs measures for the 2-\(d\) defocusing nonlinear Schrödinger equations. (English) Zbl 1421.35340 Stoch. Partial Differ. Equ., Anal. Comput. 6, No. 3, 397-445 (2018). MSC: 35Q55 35Q41 81T10 81T17 33C45 PDF BibTeX XML Cite \textit{T. Oh} and \textit{L. Thomann}, Stoch. Partial Differ. Equ., Anal. Comput. 6, No. 3, 397--445 (2018; Zbl 1421.35340) Full Text: DOI arXiv
Platania, Alessia; Saueressig, Frank Functional renormalization group flows on Friedman-Lemaître-Robertson-Walker backgrounds. (English) Zbl 1411.83032 Found. Phys. 48, No. 10, 1291-1304 (2018). MSC: 83C47 83F05 83C40 83C05 81T17 83C27 PDF BibTeX XML Cite \textit{A. Platania} and \textit{F. Saueressig}, Found. Phys. 48, No. 10, 1291--1304 (2018; Zbl 1411.83032) Full Text: DOI arXiv
Reuter, Martin; Saueressig, Frank Quantum gravity and the functional renormalization group. The road towards asymptotic safety. (English) Zbl 1434.83006 Cambridge Monographs on Mathematical Physics. Cambridge: Cambridge University Press (ISBN 978-1-107-10732-8/hbk; 978-1-316-22759-6/ebook). xiii, 342 p. (2018). Reviewer: Jorge Pullin (Baton Rouge) MSC: 83-02 83C45 81T17 00A79 83C05 83D05 PDF BibTeX XML Cite \textit{M. Reuter} and \textit{F. Saueressig}, Quantum gravity and the functional renormalization group. The road towards asymptotic safety. Cambridge: Cambridge University Press (2018; Zbl 1434.83006) Full Text: DOI
Bender, Carl M; Sarkar, Sarben Asymptotic analysis of the local potential approximation to the Wetterich equation. (English) Zbl 1396.81140 J. Phys. A, Math. Theor. 51, No. 22, Article ID 225202, 12 p. (2018). MSC: 81T17 81R05 35K05 35K55 81T10 41A21 PDF BibTeX XML Cite \textit{C. M Bender} and \textit{S. Sarkar}, J. Phys. A, Math. Theor. 51, No. 22, Article ID 225202, 12 p. (2018; Zbl 1396.81140) Full Text: DOI arXiv
Mosco, Umberto Finite-time self-organized-criticality on synchronized infinite grids. (English) Zbl 1400.82188 SIAM J. Math. Anal. 50, No. 3, 2409-2440 (2018). Reviewer: Guy Jumarie (Montréal) MSC: 82C27 46N55 68Q80 34B18 82B28 37B15 PDF BibTeX XML Cite \textit{U. Mosco}, SIAM J. Math. Anal. 50, No. 3, 2409--2440 (2018; Zbl 1400.82188) Full Text: DOI
Danaila, Ionut; Protas, Bartosz Computation of ground states of the Gross-Pitaevskii functional via Riemannian optimization. (English) Zbl 1378.81174 SIAM J. Sci. Comput. 39, No. 6, B1102-B1129 (2017). MSC: 81V70 35Q55 82D05 82B26 82B28 39A12 65J15 46N40 90C53 90C30 PDF BibTeX XML Cite \textit{I. Danaila} and \textit{B. Protas}, SIAM J. Sci. Comput. 39, No. 6, B1102--B1129 (2017; Zbl 1378.81174) Full Text: DOI arXiv
Oda, Kin-Ya; Yamada, Masatoshi Non-minimal coupling in Higgs-Yukawa model with asymptotically safe gravity. (English) Zbl 1342.83282 Classical Quantum Gravity 33, No. 12, Article ID 125011, 45 p. (2016). MSC: 83D05 83C05 81T20 83C45 81T15 PDF BibTeX XML Cite \textit{K.-Y. Oda} and \textit{M. Yamada}, Classical Quantum Gravity 33, No. 12, Article ID 125011, 45 p. (2016; Zbl 1342.83282) Full Text: DOI arXiv
Koch, Benjamin; Rioseco, Paola Black hole solutions for scale-dependent couplings: the de Sitter and the Reissner-Nordström case. (English) Zbl 1332.83059 Classical Quantum Gravity 33, No. 3, Article ID 035002, 22 p. (2016). MSC: 83C57 83C22 83C15 81T15 PDF BibTeX XML Cite \textit{B. Koch} and \textit{P. Rioseco}, Classical Quantum Gravity 33, No. 3, Article ID 035002, 22 p. (2016; Zbl 1332.83059) Full Text: DOI arXiv
Lam, Kai S. Topics in contemporary mathematical physics. 2nd ed. (English) Zbl 1330.22001 River Edge, NJ: World Scientific (ISBN 978-981-4667-79-1/hbk; 978-981-4667-80-7/pbk). xviii, 832 p. (2016). Reviewer: Gert Roepstorff (Aachen) MSC: 22-01 81-01 53-01 46-01 PDF BibTeX XML Cite \textit{K. S. Lam}, Topics in contemporary mathematical physics. 2nd ed. River Edge, NJ: World Scientific (2016; Zbl 1330.22001) Full Text: DOI
Harst, U.; Reuter, M. A new functional flow equation for Einstein-Cartan quantum gravity. (English) Zbl 1377.81124 Ann. Phys. 354, 637-704 (2015). MSC: 81T20 81T17 83E99 PDF BibTeX XML Cite \textit{U. Harst} and \textit{M. Reuter}, Ann. Phys. 354, 637--704 (2015; Zbl 1377.81124) Full Text: DOI arXiv
Guttmann, A. J.; Maillard, J.-M. Automata and the susceptibility of the square lattice Ising model modulo powers of primes. (English) Zbl 1334.82009 J. Phys. A, Math. Theor. 48, No. 47, Article ID 474001, 22 p. (2015). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B20 82B28 PDF BibTeX XML Cite \textit{A. J. Guttmann} and \textit{J. M. Maillard}, J. Phys. A, Math. Theor. 48, No. 47, Article ID 474001, 22 p. (2015; Zbl 1334.82009) Full Text: DOI arXiv
Cartas-Fuentevilla, R.; Olvera-Santamaria, A. Deforming the theory \(\lambda\phi^{4}\) along the parameters and fields gradient flows. (English) Zbl 1309.81131 Int. J. Mod. Phys. A 30, No. 2, Article ID 1550008, 33 p. (2015). MSC: 81T10 81R40 81T17 82B30 82B26 35K57 PDF BibTeX XML Cite \textit{R. Cartas-Fuentevilla} and \textit{A. Olvera-Santamaria}, Int. J. Mod. Phys. A 30, No. 2, Article ID 1550008, 33 p. (2015; Zbl 1309.81131) Full Text: DOI arXiv
Dolgov, Sergey V.; Tyrtyshnikov, Eugene E. On evolution of solution times for the chemical master equation of the enzymatic futile cycle. (English) Zbl 1307.92103 Russ. J. Numer. Anal. Math. Model. 30, No. 1, 37-42 (2015). MSC: 92C45 65L03 PDF BibTeX XML Cite \textit{S. V. Dolgov} and \textit{E. E. Tyrtyshnikov}, Russ. J. Numer. Anal. Math. Model. 30, No. 1, 37--42 (2015; Zbl 1307.92103) Full Text: DOI Link
Fischbacher, Thomas; Synatschke-Czerwonka, Franziska FlowPy – a numerical solver for functional renormalization group equations. (English) Zbl 1344.81016 Comput. Phys. Commun. 184, No. 8, 1931-1945 (2013). MSC: 81-04 81T17 PDF BibTeX XML Cite \textit{T. Fischbacher} and \textit{F. Synatschke-Czerwonka}, Comput. Phys. Commun. 184, No. 8, 1931--1945 (2013; Zbl 1344.81016) Full Text: DOI arXiv
Pangon, V. Structure of the broken phase of the sine-Gordon model using functional renormalization. (English) Zbl 1263.81246 Int. J. Mod. Phys. A 27, No. 3-4, Paper No. 1250014, 43 p. (2012). MSC: 81T17 81T40 81R40 82B80 35Q55 PDF BibTeX XML Cite \textit{V. Pangon}, Int. J. Mod. Phys. A 27, No. 3--4, Paper No. 1250014, 43 p. (2012; Zbl 1263.81246) Full Text: DOI arXiv
Grigoriev, Yurii N.; Ibragimov, Nail H.; Kovalev, Vladimir F.; Meleshko, Sergey V. Symmetries of integro-differential equations. With applications in mechanics and plasma physics. (English) Zbl 1203.45006 Lecture Notes in Physics 806. Dordrecht: Springer (ISBN 978-90-481-3796-1/pbk; 978-90-481-3797-8/ebook). xiii, 305 p. (2010). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 45J05 45-02 82D10 76M60 82B40 82B28 34C14 74D99 76P05 34K99 45R99 45G10 PDF BibTeX XML Cite \textit{Y. N. Grigoriev} et al., Symmetries of integro-differential equations. With applications in mechanics and plasma physics. Dordrecht: Springer (2010; Zbl 1203.45006) Full Text: DOI
Moroz, Sergej; Schmidt, Richard Nonrelativistic inverse square potential, scale anomaly, and complex extension. (English) Zbl 1193.81024 Ann. Phys. 325, No. 2, 491-513 (2010). MSC: 81Q05 81U15 PDF BibTeX XML Cite \textit{S. Moroz} and \textit{R. Schmidt}, Ann. Phys. 325, No. 2, 491--513 (2010; Zbl 1193.81024) Full Text: DOI arXiv
Fischer, Christian S.; Maas, Axel; Pawlowski, Jan M. On the infrared behavior of Landau gauge Yang-Mills theory. (English) Zbl 1176.81082 Ann. Phys. 324, No. 11, 2408-2437 (2009). MSC: 81T13 81T17 81V35 PDF BibTeX XML Cite \textit{C. S. Fischer} et al., Ann. Phys. 324, No. 11, 2408--2437 (2009; Zbl 1176.81082) Full Text: DOI arXiv
Reuter, Martin; Weyer, Holger The role of background independence for asymptotic safety in quantum Einstein gravity. (English) Zbl 1177.83071 Gen. Relativ. Gravitation 41, No. 4, 983-1011 (2009). MSC: 83C45 81T20 PDF BibTeX XML Cite \textit{M. Reuter} and \textit{H. Weyer}, Gen. Relativ. Gravitation 41, No. 4, 983--1011 (2009; Zbl 1177.83071) Full Text: DOI arXiv
Bohr, O.; Schaefer, B.-J.; Wambach, J. Renormalization group flow equations and the phase transition in \(O(N)\)-models. (English) Zbl 1012.81037 Int. J. Mod. Phys. A 16, No. 23, 3823-3852 (2001). Reviewer: Akira Asada (Takarazuka) MSC: 81T17 34K28 65Z05 PDF BibTeX XML Cite \textit{O. Bohr} et al., Int. J. Mod. Phys. A 16, No. 23, 3823--3852 (2001; Zbl 1012.81037) Full Text: DOI arXiv
Obers, Niels A.; Pioline, Boris Eisenstein series in string theory. (English) Zbl 1002.81044 Classical Quantum Gravity 17, No. 5, 1215-1224 (2000). MSC: 81T30 11F66 81T16 PDF BibTeX XML Cite \textit{N. A. Obers} and \textit{B. Pioline}, Classical Quantum Gravity 17, No. 5, 1215--1224 (2000; Zbl 1002.81044) Full Text: DOI arXiv
Kovalev, V. F.; Shirkov, D. V. Functional self-similarity and renormalization group symmetry in mathematical physics. (English. Russian original) Zbl 1007.81051 Theor. Math. Phys. 121, No. 1, 1315-1332 (1999); translation from Teor. Mat. Fiz. 121, No. 1, 66-88 (1999). Reviewer: Akira Asada (Takarazuka) MSC: 81T17 82B28 35Q53 PDF BibTeX XML Cite \textit{V. F. Kovalev} and \textit{D. V. Shirkov}, Theor. Math. Phys. 121, No. 1, 1315--1332 (1999; Zbl 1007.81051); translation from Teor. Mat. Fiz. 121, No. 1, 66--88 (1999) Full Text: DOI arXiv
Dorn, H. Non-abelian gauge field dynamics on matrix D-branes. (English) Zbl 0979.81559 Nucl. Phys., B 494, No. 1-2, 105-118 (1997). MSC: 81T30 81T60 83E30 PDF BibTeX XML Cite \textit{H. Dorn}, Nucl. Phys., B 494, No. 1--2, 105--118 (1997; Zbl 0979.81559) Full Text: DOI arXiv
Chen, Fangyue Accurate solution of the Feigenbaum’s renormalization group equation. (Chinese. English summary) Zbl 0868.58069 Appl. Math., Ser. A (Chin. Ed.) 11, No. 4, 387-392 (1996). MSC: 34K99 PDF BibTeX XML Cite \textit{F. Chen}, Appl. Math., Ser. A (Chin. Ed.) 11, No. 4, 387--392 (1996; Zbl 0868.58069)
Belokurov, V. V.; Kamchatny, V. V. Operator method of solving renormalization group equations. (Russian. English summary) Zbl 0877.47035 Fundam. Prikl. Mat. 1, No. 3, 613-621 (1995). MSC: 47N50 81T17 PDF BibTeX XML Cite \textit{V. V. Belokurov} and \textit{V. V. Kamchatny}, Fundam. Prikl. Mat. 1, No. 3, 613--621 (1995; Zbl 0877.47035)
Shirkov, D. V. The Bogolyubov renormalization group. (English. Russian original) Zbl 0849.46057 Russ. Math. Surv. 49, No. 5, 155-176 (1994); translation from Usp. Mat. Nauk 49, No. 5, 147-164 (1994). Reviewer: H.Yamagata (Osaka) MSC: 46N50 81T17 47N50 81-03 81V10 81T40 01A60 PDF BibTeX XML Cite \textit{D. V. Shirkov}, Russ. Math. Surv. 49, No. 5, 155--176 (1994; Zbl 0849.46057); translation from Usp. Mat. Nauk 49, No. 5, 147--164 (1994) Full Text: DOI arXiv
Chen, Fangyue Functional equations connecting interval maps and circle maps. (Chinese. English summary) Zbl 0809.39010 Acta Math. Sin. 37, No. 2, 238-245 (1994). MSC: 39B12 39B22 PDF BibTeX XML Cite \textit{F. Chen}, Acta Math. Sin. 37, No. 2, 238--245 (1994; Zbl 0809.39010)
Dashen, Roger; Orris, Gregor J. Rough surfaces and the renormalization group. (English) Zbl 0726.46056 J. Math. Phys. 31, No. 10, 2352-2360 (1990). MSC: 46N50 47N50 81T17 81Q15 PDF BibTeX XML Cite \textit{R. Dashen} and \textit{G. J. Orris}, J. Math. Phys. 31, No. 10, 2352--2360 (1990; Zbl 0726.46056) Full Text: DOI
Vul, E. B. Some numerical studies of dynamical systems. (English) Zbl 0689.65050 Dynamical systems and ergodic theory, 28th Sem. St. Banach Int. Math. Cent., Warsaw/Pol. 1986, Banach Cent. Publ. 23, 351-354 (1989). Reviewer: F.Ling MSC: 65L05 65Q05 37D45 PDF BibTeX XML
Manolessou, Marietta The \(\Phi^ 4\) equation of motion. II: The zero-, one-, and two- dimensional solutions. (English) Zbl 0671.46039 J. Math. Phys. 30, No. 1, 175-196 (1989). MSC: 46N99 81T08 47H10 81T17 PDF BibTeX XML Cite \textit{M. Manolessou}, J. Math. Phys. 30, No. 1, 175--196 (1989; Zbl 0671.46039) Full Text: DOI
Manolessou, Marietta M. The \(\Phi\) 4 equations of motion. I: A new contructive method: The \(\Phi\) iteration. (English) Zbl 0651.46075 J. Math. Phys. 29, No. 9, 2092-2105 (1988). MSC: 46N99 81T08 81T17 PDF BibTeX XML Cite \textit{M. M. Manolessou}, J. Math. Phys. 29, No. 9, 2092--2105 (1988; Zbl 0651.46075) Full Text: DOI
Rivers, R. J. Path integral methods in quantum field theory. (English) Zbl 0648.46064 Cambridge Monographs on Mathematical Physics. Cambridge etc.: Cambridge University Press. XI, 339 p.; £42.50; $ 69.50 (1987). Reviewer: C.Itzykson MSC: 46N99 81S40 81S10 81T17 46-02 PDF BibTeX XML
Eckmann, J.-P.; Wittwer, P. Multiplicative and additive renormalization. (English) Zbl 0697.30025 Critical phenomena, random systems, gauge theories, Proc. Summer Sch. Theor. Phys., Sess. 43, Les Houches/France 1984, Pt. 1, 455-465 (1986). MSC: 30D05 37B99 37A99 PDF BibTeX XML
Colombeau, Jean François Elementary introduction to new generalized functions. (English) Zbl 0584.46024 North-Holland Mathematics Studies, 113. Notas de Matemática (103). Amsterdam-New York-Oxford: North-Holland. XIII, 281 p. S 44.50; Dfl. 120.00 (1985). Reviewer: G.Bengel MSC: 46F05 46F10 46-02 81T17 81Q15 PDF BibTeX XML
Moussa, Pierre; Bessis, Daniel A solvable almost periodic Schrödinger operator. (English) Zbl 0561.35073 Stochastic aspects of classical and quantum systems, Proc. 2nd French- German Encounter Math. Phys., Marseille 1983, Lect. Notes Math. 1109, 136-147 (1985). MSC: 35Q99 35B15 35P20 11K55 81V70 42C05 47A10 39B99 PDF BibTeX XML
Doveil, F.; Escande, D. F.; Mehr, A. Théorie de renormalisation et transition à la stochasticite pour les systèmes Hamiltoniens à deux degrés de liberté. (French) Zbl 0522.70028 Theorie de l’iteration et ses applications, Actes Colloq., Toulouse 1982, Colloq. Int. CNRS 332, 235-239 (1982). MSC: 70K50 70H05 37J35 37K10 37J99 70G10 PDF BibTeX XML