Hoshino, Masato; Kawabi, Hiroshi; Kusuoka, Seiichiro Stochastic quantization associated with the \(\exp (\boldsymbol{\Phi})_2\)-quantum field model driven by space-time white noise on the torus in the full \(L^1\)-regime. (English) Zbl 07773477 Probab. Theory Relat. Fields 185, No. 1-2, 391-447 (2023). MSC: 81S20 60H17 35R60 60J46 81T08 81T40 PDFBibTeX XMLCite \textit{M. Hoshino} et al., Probab. Theory Relat. Fields 185, No. 1--2, 391--447 (2023; Zbl 07773477) Full Text: DOI arXiv
Remy, Guillaume; Zhu, Tunan Integrability of boundary Liouville conformal field theory. (English) Zbl 1510.81078 Commun. Math. Phys. 395, No. 1, 179-268 (2022). MSC: 81Q80 81T40 35B53 62H20 81T05 81Q50 PDFBibTeX XMLCite \textit{G. Remy} and \textit{T. Zhu}, Commun. Math. Phys. 395, No. 1, 179--268 (2022; Zbl 1510.81078) Full Text: DOI arXiv
Cerclé, Baptiste; Huang, Yichao Ward identities in the \(\mathfrak{sl}_3\) Toda conformal field theory. (English) Zbl 1498.81114 Commun. Math. Phys. 393, No. 1, 419-475 (2022). MSC: 81T40 81T11 81S40 17B05 62H20 53D05 35G05 PDFBibTeX XMLCite \textit{B. Cerclé} and \textit{Y. Huang}, Commun. Math. Phys. 393, No. 1, 419--475 (2022; Zbl 1498.81114) Full Text: DOI arXiv
Chiarini, Leandro; Landim, Claudio Schauder estimates for fractional Laplacians and nonlocal, one-dimensional singular SPDEs. (English) Zbl 1492.60198 SIAM J. Math. Anal. 54, No. 2, 2163-2215 (2022). Reviewer: Martin Ondreját (Praha) MSC: 60H17 35B65 35S10 60H40 35R11 PDFBibTeX XMLCite \textit{L. Chiarini} and \textit{C. Landim}, SIAM J. Math. Anal. 54, No. 2, 2163--2215 (2022; Zbl 1492.60198) Full Text: DOI
Apolinário, Gabriel B.; Chevillard, Laurent; Mourrat, Jean-Christophe Dynamical fractional and multifractal fields. (English) Zbl 1507.35161 J. Stat. Phys. 186, No. 1, Paper No. 15, 35 p. (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 76F45 76F55 76U05 60G15 60G22 60G60 35B65 35B40 28A80 26A33 35R11 35R60 PDFBibTeX XMLCite \textit{G. B. Apolinário} et al., J. Stat. Phys. 186, No. 1, Paper No. 15, 35 p. (2022; Zbl 1507.35161) Full Text: DOI arXiv
Oh, Tadahiro; Robert, Tristan; Wang, Yuzhao On the parabolic and hyperbolic Liouville equations. (English) Zbl 1481.60123 Commun. Math. Phys. 387, No. 3, 1281-1351 (2021). MSC: 60H15 35K08 35L05 60H40 PDFBibTeX XMLCite \textit{T. Oh} et al., Commun. Math. Phys. 387, No. 3, 1281--1351 (2021; Zbl 1481.60123) Full Text: DOI arXiv
Muravnik, A. B. On qualitative properties of sign-constant solutions of some quasilinear parabolic problems. (English. Russian original) Zbl 1470.35444 J. Math. Sci., New York 257, No. 1, 85-94 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 160, 85-94 (2019). MSC: 35R45 35K59 35K15 PDFBibTeX XMLCite \textit{A. B. Muravnik}, J. Math. Sci., New York 257, No. 1, 85--94 (2021; Zbl 1470.35444); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 160, 85--94 (2019) Full Text: DOI
Claeys, T.; Fahs, B.; Lambert, G.; Webb, C. How much can the eigenvalues of a random Hermitian matrix fluctuate? (English) Zbl 1467.60006 Duke Math. J. 170, No. 9, 2085-2235 (2021). MSC: 60B20 35Q15 47B35 60G15 60G57 15A18 15B52 PDFBibTeX XMLCite \textit{T. Claeys} et al., Duke Math. J. 170, No. 9, 2085--2235 (2021; Zbl 1467.60006) Full Text: DOI arXiv
Hoshino, Masato; Kawabi, Hiroshi; Kusuoka, Seiichiro Stochastic quantization associated with the \(\exp(\Phi)_2\)-quantum field model driven by space-time white noise on the torus. (English) Zbl 1467.35269 J. Evol. Equ. 21, No. 1, 339-375 (2021). MSC: 35Q40 81T10 60H40 35A02 35R60 PDFBibTeX XMLCite \textit{M. Hoshino} et al., J. Evol. Equ. 21, No. 1, 339--375 (2021; Zbl 1467.35269) Full Text: DOI arXiv
Loutsenko, Igor; Yermolayeva, Oksana On integrability and exact solvability in deterministic and stochastic Laplacian growth. (English) Zbl 1469.31022 Math. Model. Nat. Phenom. 15, Paper No. 3, 24 p. (2020). MSC: 31B20 35R35 PDFBibTeX XMLCite \textit{I. Loutsenko} and \textit{O. Yermolayeva}, Math. Model. Nat. Phenom. 15, Paper No. 3, 24 p. (2020; Zbl 1469.31022) Full Text: DOI arXiv
Amaba, Takafumi; Friedrich, Roland Controlled Loewner-Kufarev equation embedded into the universal Grassmannian. (English) Zbl 1459.35363 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 108, 25 p. (2020). Reviewer: Mohamed Majdoub (Dammam) MSC: 35Q99 30F10 35C10 58J65 93C20 30C25 81T40 PDFBibTeX XMLCite \textit{T. Amaba} and \textit{R. Friedrich}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 108, 25 p. (2020; Zbl 1459.35363) Full Text: DOI arXiv
Muravnik, A. B. Decay of nonnegative solutions of singular parabolic equations with KPZ-nonlinearities. (English. Russian original) Zbl 1450.35148 Comput. Math. Math. Phys. 60, No. 8, 1375-1380 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 8, 1422-1427 (2020). MSC: 35K67 35K15 35K58 PDFBibTeX XMLCite \textit{A. B. Muravnik}, Comput. Math. Math. Phys. 60, No. 8, 1375--1380 (2020; Zbl 1450.35148); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 8, 1422--1427 (2020) Full Text: DOI
Blömker, Dirk; Cannizzaro, Giuseppe; Romito, Marco Random initial conditions for semi-linear PDEs. (English) Zbl 1445.35343 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 3, 1533-1565 (2020). MSC: 35R60 35K59 35B30 35K57 PDFBibTeX XMLCite \textit{D. Blömker} et al., Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 3, 1533--1565 (2020; Zbl 1445.35343) Full Text: DOI arXiv
Ding, Jian; Gwynne, Ewain The fractal dimension of Liouville quantum gravity: universality, monotonicity, and bounds. (English) Zbl 1436.83024 Commun. Math. Phys. 374, No. 3, 1877-1934 (2020). MSC: 83C45 81T25 37F35 35K08 PDFBibTeX XMLCite \textit{J. Ding} and \textit{E. Gwynne}, Commun. Math. Phys. 374, No. 3, 1877--1934 (2020; Zbl 1436.83024) Full Text: DOI arXiv
Bröker, Yannic; Mukherjee, Chiranjib Localization of the Gaussian multiplicative chaos in the Wiener space and the stochastic heat equation in strong disorder. (English) Zbl 1432.60088 Ann. Appl. Probab. 29, No. 6, 3745-3785 (2019). MSC: 60K35 60J65 60J55 60F10 35R60 35Q82 60H15 82D60 PDFBibTeX XMLCite \textit{Y. Bröker} and \textit{C. Mukherjee}, Ann. Appl. Probab. 29, No. 6, 3745--3785 (2019; Zbl 1432.60088) Full Text: DOI arXiv Euclid
Maillard, Pascal; Pain, Michel 1-stable fluctuations in branching Brownian motion at critical temperature. I: The derivative martingale. (English) Zbl 1448.60173 Ann. Probab. 47, No. 5, 2953-3002 (2019). Reviewer: Alexander Iksanov (Kiev) MSC: 60J80 60F17 35K57 82B44 PDFBibTeX XMLCite \textit{P. Maillard} and \textit{M. Pain}, Ann. Probab. 47, No. 5, 2953--3002 (2019; Zbl 1448.60173) Full Text: DOI arXiv Euclid
Muravnik, A. B. On absence of global positive solutions of elliptic inequalities with KPZ-nonlinearities. (English) Zbl 1417.35038 Complex Var. Elliptic Equ. 64, No. 5, 736-740 (2019). MSC: 35J62 35B09 PDFBibTeX XMLCite \textit{A. B. Muravnik}, Complex Var. Elliptic Equ. 64, No. 5, 736--740 (2019; Zbl 1417.35038) Full Text: DOI
Ossipov, A. Gelfand-Yaglom formula for functional determinants in higher dimensions. (English) Zbl 1411.35088 J. Phys. A, Math. Theor. 51, No. 49, Article ID 495201, 12 p. (2018). MSC: 35J05 47A60 34A12 34L40 PDFBibTeX XMLCite \textit{A. Ossipov}, J. Phys. A, Math. Theor. 51, No. 49, Article ID 495201, 12 p. (2018; Zbl 1411.35088) Full Text: DOI arXiv
Berman, Robert J.; Lu, Chinh H. From the Kähler-Ricci flow to moving free boundaries and shocks. (Du flot de Kähler-Ricci au flot des bords libres mobiles et aux chocs.) (English. French summary) Zbl 1440.53114 J. Éc. Polytech., Math. 5, 519-563 (2018). Reviewer: Adara M. Blaga (Timişoara) MSC: 53E30 76D27 35F21 PDFBibTeX XMLCite \textit{R. J. Berman} and \textit{C. H. Lu}, J. Éc. Polytech., Math. 5, 519--563 (2018; Zbl 1440.53114) Full Text: DOI arXiv
Vertman, Boris Regularized limit of determinants for discrete tori. (English) Zbl 1394.58018 Monatsh. Math. 186, No. 3, 539-557 (2018). MSC: 58J52 35S05 34B24 58J32 PDFBibTeX XMLCite \textit{B. Vertman}, Monatsh. Math. 186, No. 3, 539--557 (2018; Zbl 1394.58018) Full Text: DOI arXiv
Berestycki, Nathanaël; Garban, Christophe; Rhodes, Rémi; Vargas, Vincent KPZ formula derived from Liouville heat kernel. (English) Zbl 1356.60119 J. Lond. Math. Soc., II. Ser. 94, No. 1, 186-208 (2016). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 60J60 60J65 60J70 60J55 35K08 81T40 PDFBibTeX XMLCite \textit{N. Berestycki} et al., J. Lond. Math. Soc., II. Ser. 94, No. 1, 186--208 (2016; Zbl 1356.60119) Full Text: DOI arXiv
Rhodes, Rémi; Vargas, Vincent Liouville Brownian motion at criticality. (English) Zbl 1333.81224 Potential Anal. 43, No. 2, 149-197 (2015). Reviewer: Marek Nowakowski (Bogotá) MSC: 81T10 81V17 83C45 35J08 35K08 60J65 82B20 82C20 81T30 PDFBibTeX XMLCite \textit{R. Rhodes} and \textit{V. Vargas}, Potential Anal. 43, No. 2, 149--197 (2015; Zbl 1333.81224) Full Text: DOI arXiv
Shieh, Narn-Rueih Free fields associated with the relativistic operator \({-(m-\sqrt{m^{2}-\delta})}\). (English) Zbl 1270.81082 J. Pseudo-Differ. Oper. Appl. 3, No. 3, 309-319 (2012). Reviewer: Anatoliy Pogorui (Zhytomyr) MSC: 81Q05 60G60 47G30 35J08 60J60 PDFBibTeX XMLCite \textit{N.-R. Shieh}, J. Pseudo-Differ. Oper. Appl. 3, No. 3, 309--319 (2012; Zbl 1270.81082) Full Text: DOI Link
Chanzy, Jean Inverse of the discrete Laplacian in the two-dimensional Poisson-Dirichlet problem on a rectangle. (Inverse du Laplacien discret dans le problème de Poisson-Dirichlet à deux dimensions sur un rectangle.) (French) Zbl 1133.47054 Ann. Fac. Sci. Toulouse, Math. (6) 15, No. 3, 485-552 (2006). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 47N20 47B35 35C10 35C20 35J05 47G10 65F05 65N06 PDFBibTeX XMLCite \textit{J. Chanzy}, Ann. Fac. Sci. Toulouse, Math. (6) 15, No. 3, 485--552 (2006; Zbl 1133.47054) Full Text: DOI Numdam EuDML
Karamanos, Kostas Dissipation in weakly polarizable electrodes across irregular boundaries. (English) Zbl 1092.35529 J. Non-Equilibrium Thermodyn. 30, No. 2, 163-171 (2005). MSC: 35Q60 78A35 35J05 28A80 PDFBibTeX XMLCite \textit{K. Karamanos}, J. Non-Equilibrium Thermodyn. 30, No. 2, 163--171 (2005; Zbl 1092.35529) Full Text: DOI
Aurell, Erik; Salomonson, Per On functional determinants of Laplacians in polygons and simplicial complexes. (English) Zbl 0807.35102 Commun. Math. Phys. 165, No. 2, 233-259 (1994). MSC: 35P05 35J05 47F05 PDFBibTeX XMLCite \textit{E. Aurell} and \textit{P. Salomonson}, Commun. Math. Phys. 165, No. 2, 233--259 (1994; Zbl 0807.35102) Full Text: DOI arXiv