Sheffield, Scott What is a random surface? (English) Zbl 07821737 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 2. Plenary lectures. Berlin: European Mathematical Society (EMS). 1202-1258 (2023). MSC: 60G60 60G57 60J67 60K35 PDFBibTeX XMLCite \textit{S. Sheffield}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 2. Plenary lectures. Berlin: European Mathematical Society (EMS). 1202--1258 (2023; Zbl 07821737) Full Text: DOI arXiv OA License
Ding, Jian; Dubédat, Julien; Gwynne, Ewain Introduction to the Liouville quantum gravity metric. (English) Zbl 07821689 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 6. Sections 12–14. Berlin: European Mathematical Society (EMS). 4212-4244 (2023). MSC: 60D05 60G60 60K35 PDFBibTeX XMLCite \textit{J. Ding} et al., in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 6. Sections 12--14. Berlin: European Mathematical Society (EMS). 4212--4244 (2023; Zbl 07821689) Full Text: DOI arXiv OA License
Borot, Gaëtan; Bouttier, Jérémie; Duplantier, Bertrand Nesting statistics in the \(O(n)\) loop model on random planar maps. (English) Zbl 07786912 Commun. Math. Phys. 404, No. 3, 1125-1229 (2023). MSC: 82Bxx 60Gxx 60Jxx PDFBibTeX XMLCite \textit{G. Borot} et al., Commun. Math. Phys. 404, No. 3, 1125--1229 (2023; Zbl 07786912) Full Text: DOI arXiv OA License
Ding, Jian; Gwynne, Ewain Tightness of supercritical Liouville first passage percolation. (English) Zbl 07756997 J. Eur. Math. Soc. (JEMS) 25, No. 10, 3833-3911 (2023). MSC: 60K35 60D05 60G60 82B43 PDFBibTeX XMLCite \textit{J. Ding} and \textit{E. Gwynne}, J. Eur. Math. Soc. (JEMS) 25, No. 10, 3833--3911 (2023; Zbl 07756997) Full Text: DOI arXiv
Dubédat, Julien; Falconet, Hugo Metric growth dynamics in Liouville quantum gravity. (English) Zbl 1525.60020 Commun. Math. Phys. 400, No. 2, 1317-1383 (2023). MSC: 60D05 60J67 60K35 83C45 60G60 PDFBibTeX XMLCite \textit{J. Dubédat} and \textit{H. Falconet}, Commun. Math. Phys. 400, No. 2, 1317--1383 (2023; Zbl 1525.60020) Full Text: DOI arXiv
Lyu, Yangyang; Li, Heyu Almost surely time-space intermittency for the parabolic Anderson model with a log-correlated Gaussian field. (English) Zbl 1524.60146 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 2, 608-639 (2023). MSC: 60H15 60F99 60G60 PDFBibTeX XMLCite \textit{Y. Lyu} and \textit{H. Li}, Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 2, 608--639 (2023; Zbl 1524.60146) Full Text: DOI
Bailey, E. C.; Keating, J. P. Maxima of log-correlated fields: some recent developments. (English) Zbl 1505.15037 J. Phys. A, Math. Theor. 55, No. 5, Article ID 053001, 76 p. (2022). MSC: 15B52 11M50 60B20 60G70 PDFBibTeX XMLCite \textit{E. C. Bailey} and \textit{J. P. Keating}, J. Phys. A, Math. Theor. 55, No. 5, Article ID 053001, 76 p. (2022; Zbl 1505.15037) Full Text: DOI arXiv
Arguin, Louis-Pierre; Hartung, Lisa; Kistler, Nicola High points of a random model of the Riemann-zeta function and Gaussian multiplicative chaos. (English) Zbl 1498.60335 Stochastic Processes Appl. 151, 174-190 (2022). Reviewer: Ravi Sreenivasan (Mysore) MSC: 60J80 60G70 82B44 11M06 PDFBibTeX XMLCite \textit{L.-P. Arguin} et al., Stochastic Processes Appl. 151, 174--190 (2022; Zbl 1498.60335) Full Text: DOI arXiv
Lacoin, Hubert Convergence in law for complex Gaussian multiplicative chaos in phase III. (English) Zbl 1487.60079 Ann. Probab. 50, No. 3, 950-983 (2022). MSC: 60G15 82B99 60F99 60G60 60G57 60K37 60J67 PDFBibTeX XMLCite \textit{H. Lacoin}, Ann. Probab. 50, No. 3, 950--983 (2022; Zbl 1487.60079) Full Text: DOI arXiv
Lacoin, Hubert; Rhodes, Rémi; Vargas, Vincent Path integral for quantum Mabuchi K-energy. (English) Zbl 1513.81114 Duke Math. J. 171, No. 3, 483-545 (2022). MSC: 81T40 81T20 60D05 PDFBibTeX XMLCite \textit{H. Lacoin} et al., Duke Math. J. 171, No. 3, 483--545 (2022; Zbl 1513.81114) Full Text: DOI arXiv
Holden, Nina; Powell, Ellen Conformal welding for critical Liouville quantum gravity. (English) Zbl 1483.30029 Ann. Inst. Henri Poincaré, Probab. Stat. 57, No. 3, 1229-1254 (2021). MSC: 30C20 60D05 60G57 60G60 60J67 PDFBibTeX XMLCite \textit{N. Holden} and \textit{E. Powell}, Ann. Inst. Henri Poincaré, Probab. Stat. 57, No. 3, 1229--1254 (2021; Zbl 1483.30029) Full Text: DOI arXiv
Jego, Antoine Critical Brownian multiplicative chaos. (English) Zbl 1482.60105 Probab. Theory Relat. Fields 180, No. 1-2, 495-552 (2021). MSC: 60J55 60J65 PDFBibTeX XMLCite \textit{A. Jego}, Probab. Theory Relat. Fields 180, No. 1--2, 495--552 (2021; Zbl 1482.60105) Full Text: DOI arXiv
Mcenteggart, Oliver; Miller, Jason; Qian, Wei Uniqueness of the welding problem for SLE and Liouville quantum gravity. (English) Zbl 1484.60093 J. Inst. Math. Jussieu 20, No. 3, 757-783 (2021). MSC: 60J67 60D05 60K35 PDFBibTeX XMLCite \textit{O. Mcenteggart} et al., J. Inst. Math. Jussieu 20, No. 3, 757--783 (2021; Zbl 1484.60093) Full Text: DOI arXiv
Gwynne, Ewain; Miller, Jason Existence and uniqueness of the Liouville quantum gravity metric for \(\gamma \in (0, 2)\). (English) Zbl 1461.83018 Invent. Math. 223, No. 1, 213-333 (2021). MSC: 83C45 83C80 81V17 62P35 00A27 PDFBibTeX XMLCite \textit{E. Gwynne} and \textit{J. Miller}, Invent. Math. 223, No. 1, 213--333 (2021; Zbl 1461.83018) Full Text: DOI arXiv
Saksman, Eero; Webb, Christian The Riemann zeta function and Gaussian multiplicative chaos: statistics on the critical line. (English) Zbl 1469.60162 Ann. Probab. 48, No. 6, 2680-2754 (2020). MSC: 60G57 11M06 60G15 11M50 PDFBibTeX XMLCite \textit{E. Saksman} and \textit{C. Webb}, Ann. Probab. 48, No. 6, 2680--2754 (2020; Zbl 1469.60162) Full Text: DOI arXiv Euclid
Miller, Jason; Qian, Wei The geodesics in Liouville quantum gravity are not Schramm-Loewner evolutions. (English) Zbl 1450.60009 Probab. Theory Relat. Fields 177, No. 3-4, 677-709 (2020). Reviewer: Andrew Wade (Durham) MSC: 60D05 60J67 PDFBibTeX XMLCite \textit{J. Miller} and \textit{W. Qian}, Probab. Theory Relat. Fields 177, No. 3--4, 677--709 (2020; Zbl 1450.60009) Full Text: DOI arXiv
Jego, Antoine Planar Brownian motion and Gaussian multiplicative chaos. (English) Zbl 1508.60089 Ann. Probab. 48, No. 4, 1597-1643 (2020). MSC: 60J65 60J55 PDFBibTeX XMLCite \textit{A. Jego}, Ann. Probab. 48, No. 4, 1597--1643 (2020; Zbl 1508.60089) Full Text: DOI arXiv Euclid
Saksman, Eero; Webb, Christian On the Riemann zeta function and Gaussian multiplicative chaos. (English) Zbl 1443.60041 Breaz, Daniel (ed.) et al., Advancements in complex analysis. From theory to practice. Cham: Springer. 473-496 (2020). MSC: 60G15 11M06 PDFBibTeX XMLCite \textit{E. Saksman} and \textit{C. Webb}, in: Advancements in complex analysis. From theory to practice. Cham: Springer. 473--496 (2020; Zbl 1443.60041) Full Text: DOI
Biskup, Marek Extrema of the two-dimensional discrete Gaussian free field. (English) Zbl 1443.60036 Barlow, Martin T. (ed.) et al., Random graphs, phase transitions, and the Gaussian free field. Lecture notes given at the PIMS-CRM summer school in probability, University of British Columbia, Vancouver, Canada, June 5–30, 2017. Cham: Springer. Springer Proc. Math. Stat. 304, 163-407 (2020). MSC: 60G15 60K35 60G60 60G70 60J65 PDFBibTeX XMLCite \textit{M. Biskup}, Springer Proc. Math. Stat. 304, 163--407 (2020; Zbl 1443.60036) Full Text: DOI arXiv
Aru, Juhan; Powell, Ellen; Sepúlveda, Avelio Liouville measure as a multiplicative cascade via level sets of the Gaussian free field. (Mesure de Liouville comme une cascade multiplicative via les ensembles de niveau du champ libre Gaussien.) (English. French summary) Zbl 1444.60039 Ann. Inst. Fourier 70, No. 1, 205-245 (2020). MSC: 60G57 60G60 60D05 60J80 PDFBibTeX XMLCite \textit{J. Aru} et al., Ann. Inst. Fourier 70, No. 1, 205--245 (2020; Zbl 1444.60039) Full Text: DOI arXiv
Gwynne, Ewain; Holden, Nina; Pfeffer, Joshua; Remy, Guillaume Liouville quantum gravity with matter central charge in (1, 25): a probabilistic approach. (English) Zbl 1441.83012 Commun. Math. Phys. 376, No. 2, 1573-1625 (2020). MSC: 83C45 83C80 81T40 62P35 37F35 PDFBibTeX XMLCite \textit{E. Gwynne} et al., Commun. Math. Phys. 376, No. 2, 1573--1625 (2020; Zbl 1441.83012) Full Text: DOI arXiv
Nikula, Miika Small deviations in lognormal Mandelbrot cascades. (English) Zbl 1439.60049 Electron. Commun. Probab. 25, Paper No. 7, 12 p. (2020). MSC: 60G57 60G42 60G15 PDFBibTeX XMLCite \textit{M. Nikula}, Electron. Commun. Probab. 25, Paper No. 7, 12 p. (2020; Zbl 1439.60049) Full Text: DOI arXiv Euclid
Schweiger, Florian The maximum of the four-dimensional membrane model. (English) Zbl 1462.60047 Ann. Probab. 48, No. 2, 714-741 (2020). MSC: 60G15 31B30 60G60 60G70 65N06 PDFBibTeX XMLCite \textit{F. Schweiger}, Ann. Probab. 48, No. 2, 714--741 (2020; Zbl 1462.60047) Full Text: DOI arXiv Euclid
Remy, Guillaume The Fyodorov-Bouchaud formula and Liouville conformal field theory. (English) Zbl 1465.60032 Duke Math. J. 169, No. 1, 177-211 (2020). MSC: 60G15 60G57 60G60 81T08 81T40 PDFBibTeX XMLCite \textit{G. Remy}, Duke Math. J. 169, No. 1, 177--211 (2020; Zbl 1465.60032) Full Text: DOI arXiv Euclid
Aru, Juhan; Lupu, Titus; Sepúlveda, Avelio First passage sets of the 2D continuum Gaussian free field. (English) Zbl 1462.60043 Probab. Theory Relat. Fields 176, No. 3-4, 1303-1355 (2020). MSC: 60G15 60G60 60J65 60J67 81T40 PDFBibTeX XMLCite \textit{J. Aru} et al., Probab. Theory Relat. Fields 176, No. 3--4, 1303--1355 (2020; Zbl 1462.60043) Full Text: DOI arXiv
Biskup, Marek; Louidor, Oren Conformal symmetries in the extremal process of two-dimensional discrete Gaussian free field. (English) Zbl 1475.83027 Commun. Math. Phys. 375, No. 1, 175-235 (2020). Reviewer: Ion Vancea Vancea (Rio de Janeiro) MSC: 83C45 60G55 60G15 PDFBibTeX XMLCite \textit{M. Biskup} and \textit{O. Louidor}, Commun. Math. Phys. 375, No. 1, 175--235 (2020; Zbl 1475.83027) Full Text: DOI arXiv
Gwynne, Ewain; Holden, Nina; Miller, Jason Dimension transformation formula for conformal maps into the complement of an SLE curve. (English) Zbl 1434.60231 Probab. Theory Relat. Fields 176, No. 1-2, 649-667 (2020). MSC: 60J67 PDFBibTeX XMLCite \textit{E. Gwynne} et al., Probab. Theory Relat. Fields 176, No. 1--2, 649--667 (2020; Zbl 1434.60231) Full Text: DOI arXiv
Lyu, Yangyang Precise high moment asymptotics for parabolic Anderson model with log-correlated Gaussian field. (English) Zbl 1439.60030 Stat. Probab. Lett. 158, Article ID 108662, 12 p. (2020). MSC: 60F10 60G15 60G57 PDFBibTeX XMLCite \textit{Y. Lyu}, Stat. Probab. Lett. 158, Article ID 108662, 12 p. (2020; Zbl 1439.60030) Full Text: DOI arXiv
Arguin, Louis-Pierre; Tai, Warren Is the Riemann zeta function in a short interval a 1-RSB spin glass? (English) Zbl 1446.82082 Sidoravicius, Vladas (ed.), Sojourns in probability theory and statistical physics. I. Spin glasses and statistical mechanics, a festschrift for Charles M. Newman. Singapore: Springer; Shanghai: NYU Shanghai. Springer Proc. Math. Stat. 298, 63-88 (2019). MSC: 82D30 11M06 11M26 82B44 PDFBibTeX XMLCite \textit{L.-P. Arguin} and \textit{W. Tai}, Springer Proc. Math. Stat. 298, 63--88 (2019; Zbl 1446.82082) Full Text: DOI arXiv
Junnila, Janne; Saksman, Eero; Webb, Christian Decompositions of log-correlated fields with applications. (English) Zbl 1444.60026 Ann. Appl. Probab. 29, No. 6, 3786-3820 (2019). MSC: 60G15 60G57 PDFBibTeX XMLCite \textit{J. Junnila} et al., Ann. Appl. Probab. 29, No. 6, 3786--3820 (2019; Zbl 1444.60026) Full Text: DOI arXiv Euclid
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
Miller, Jason; Sheffield, Scott Liouville quantum gravity spheres as matings of finite-diameter trees. (English. French summary) Zbl 1448.60168 Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 3, 1712-1750 (2019). MSC: 60J67 28C20 PDFBibTeX XMLCite \textit{J. Miller} and \textit{S. Sheffield}, Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 3, 1712--1750 (2019; Zbl 1448.60168) Full Text: DOI arXiv Euclid
Guillarmou, Colin; Rhodes, Rémi; Vargas, Vincent Polyakov’s formulation of \(2d\) bosonic string theory. (English) Zbl 1514.81216 Publ. Math., Inst. Hautes Étud. Sci. 130, 111-185 (2019). MSC: 81T30 81T20 81T40 32G15 81V17 83C47 14D22 PDFBibTeX XMLCite \textit{C. Guillarmou} et al., Publ. Math., Inst. Hautes Étud. Sci. 130, 111--185 (2019; Zbl 1514.81216) Full Text: DOI arXiv
Ding, Jian; Zhang, Fuxi Liouville first passage percolation: geodesic length exponent is strictly larger than 1 at high temperatures. (English) Zbl 1412.60072 Probab. Theory Relat. Fields 174, No. 1-2, 335-367 (2019). MSC: 60G60 60K35 PDFBibTeX XMLCite \textit{J. Ding} and \textit{F. Zhang}, Probab. Theory Relat. Fields 174, No. 1--2, 335--367 (2019; Zbl 1412.60072) Full Text: DOI arXiv
Aru, Juhan; Powell, Ellen; Sepúlveda, Avelio Critical Liouville measure as a limit of subcritical measures. (English) Zbl 1488.60080 Electron. Commun. Probab. 24, Paper No. 18, 16 p. (2019). MSC: 60G15 60G60 60D05 60K35 60J67 PDFBibTeX XMLCite \textit{J. Aru} et al., Electron. Commun. Probab. 24, Paper No. 18, 16 p. (2019; Zbl 1488.60080) Full Text: DOI arXiv Euclid
Ostrovsky, Dmitry A review of conjectured laws of total mass of Bacry-Muzy GMC measures on the interval and circle and their applications. (English) Zbl 1416.33003 Rev. Math. Phys. 30, No. 10, Article ID 1830003, 74 p. (2018). MSC: 33B15 60E07 60E10 60G57 82B44 PDFBibTeX XMLCite \textit{D. Ostrovsky}, Rev. Math. Phys. 30, No. 10, Article ID 1830003, 74 p. (2018; Zbl 1416.33003) Full Text: DOI arXiv
Andres, Sebastian; Hartung, Lisa Diffusion processes on branching Brownian motion. (English) Zbl 1403.60068 ALEA, Lat. Am. J. Probab. Math. Stat. 15, No. 2, 1377-1400 (2018). MSC: 60J55 60J80 60K37 60G55 PDFBibTeX XMLCite \textit{S. Andres} and \textit{L. Hartung}, ALEA, Lat. Am. J. Probab. Math. Stat. 15, No. 2, 1377--1400 (2018; Zbl 1403.60068) Full Text: arXiv Link
Huang, Yichao; Rhodes, Rémi; Vargas, Vincent Liouville quantum gravity on the unit disk. (English. French summary) Zbl 1404.60071 Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 3, 1694-1730 (2018). MSC: 60G57 60D05 81T40 81T20 PDFBibTeX XMLCite \textit{Y. Huang} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 3, 1694--1730 (2018; Zbl 1404.60071) Full Text: DOI arXiv Euclid
Powell, Ellen Critical Gaussian chaos: convergence and uniqueness in the derivative normalisation. (English) Zbl 1390.60182 Electron. J. Probab. 23, Paper No. 31, 26 p. (2018). MSC: 60G57 60G60 PDFBibTeX XMLCite \textit{E. Powell}, Electron. J. Probab. 23, Paper No. 31, 26 p. (2018; Zbl 1390.60182) Full Text: DOI arXiv Euclid
Garban, Christophe; Rhodes, Rémi; Vargas, Vincent Liouville Brownian motion. (English) Zbl 1393.60015 Ann. Probab. 44, No. 4, 3076-3110 (2016). MSC: 60D05 28A80 60J65 PDFBibTeX XMLCite \textit{C. Garban} et al., Ann. Probab. 44, No. 4, 3076--3110 (2016; Zbl 1393.60015) Full Text: DOI arXiv Euclid
Biskup, Marek; Louidor, Oren Extreme local extrema of two-dimensional discrete Gaussian free field. (English) Zbl 1347.82007 Commun. Math. Phys. 345, No. 1, 271-304 (2016). Reviewer: Guy Jumarie (Montréal) MSC: 82B20 60G70 60G55 60J80 60G46 PDFBibTeX XMLCite \textit{M. Biskup} and \textit{O. Louidor}, Commun. Math. Phys. 345, No. 1, 271--304 (2016; Zbl 1347.82007) Full Text: DOI arXiv
Madaule, Thomas; Rhodes, Rémi; Vargas, Vincent Glassy phase and freezing of log-correlated Gaussian potentials. (English) Zbl 1341.60094 Ann. Appl. Probab. 26, No. 2, 643-690 (2016). MSC: 60J45 60G15 60G57 60G60 PDFBibTeX XMLCite \textit{T. Madaule} et al., Ann. Appl. Probab. 26, No. 2, 643--690 (2016; Zbl 1341.60094) Full Text: DOI arXiv Euclid
Shamov, Alexander On Gaussian multiplicative chaos. (English) Zbl 1337.60054 J. Funct. Anal. 270, No. 9, 3224-3261 (2016). MSC: 60G15 60G57 60G60 60B10 PDFBibTeX XMLCite \textit{A. Shamov}, J. Funct. Anal. 270, No. 9, 3224--3261 (2016; Zbl 1337.60054) Full Text: DOI arXiv
David, François; Kupiainen, Antti; Rhodes, Rémi; Vargas, Vincent Liouville quantum gravity on the Riemann sphere. (English) Zbl 1336.83042 Commun. Math. Phys. 342, No. 3, 869-907 (2016). MSC: 83E30 83C45 81T20 53Z05 37K65 81T40 60G60 PDFBibTeX XMLCite \textit{F. David} et al., Commun. Math. Phys. 342, No. 3, 869--907 (2016; Zbl 1336.83042) Full Text: DOI arXiv
David, François; Rhodes, Rémi; Vargas, Vincent Liouville quantum gravity on complex tori. (English) Zbl 1362.81082 J. Math. Phys. 57, No. 2, 022302, 25 p. (2016). Reviewer: Luca Giorgetti (Roma) MSC: 81T40 60D05 81T20 14M25 81S40 81T50 81V17 83C45 PDFBibTeX XMLCite \textit{F. David} et al., J. Math. Phys. 57, No. 2, 022302, 25 p. (2016; Zbl 1362.81082) Full Text: DOI arXiv
Bramson, Maury; Ding, Jian; Zeitouni, Ofer Convergence in law of the maximum of the two-dimensional discrete Gaussian free field. (English) Zbl 1355.60046 Commun. Pure Appl. Math. 69, No. 1, 62-123 (2016). MSC: 60G15 60F05 60G60 60J80 PDFBibTeX XMLCite \textit{M. Bramson} et al., Commun. Pure Appl. Math. 69, No. 1, 62--123 (2016; Zbl 1355.60046) Full Text: DOI arXiv
Madaule, Thomas Maximum of a log-correlated Gaussian field. (English. French summary) Zbl 1329.60138 Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 4, 1369-1431 (2015). MSC: 60G60 60G15 60G70 60F05 PDFBibTeX XMLCite \textit{T. Madaule}, Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 4, 1369--1431 (2015; Zbl 1329.60138) Full Text: DOI arXiv Euclid
Tanguy, Kevin Some superconcentration inequalities for extrema of stationary Gaussian processes. (English) Zbl 1397.60071 Stat. Probab. Lett. 106, 239-246 (2015). MSC: 60G15 60E15 60G10 60G70 PDFBibTeX XMLCite \textit{K. Tanguy}, Stat. Probab. Lett. 106, 239--246 (2015; Zbl 1397.60071) Full Text: DOI arXiv
Barral, Julien; Kupiainen, Antti; Nikula, Miika; Saksman, Eero; Webb, Christian Basic properties of critical lognormal multiplicative chaos. (English) Zbl 1337.60100 Ann. Probab. 43, No. 5, 2205-2249 (2015). MSC: 60G57 60G18 83C45 PDFBibTeX XMLCite \textit{J. Barral} et al., Ann. Probab. 43, No. 5, 2205--2249 (2015; Zbl 1337.60100) Full Text: DOI arXiv Euclid
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
Lacoin, Hubert; Rhodes, Rémi; Vargas, Vincent Complex Gaussian multiplicative chaos. (English) Zbl 1322.60065 Commun. Math. Phys. 337, No. 2, 569-632 (2015). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 60G60 60G15 60G57 81T40 PDFBibTeX XMLCite \textit{H. Lacoin} et al., Commun. Math. Phys. 337, No. 2, 569--632 (2015; Zbl 1322.60065) Full Text: DOI arXiv
Cipriani, Alessandra; Hazra, Rajat Subhra Thick points for a Gaussian free field in 4 dimensions. (English) Zbl 1312.60064 Stochastic Processes Appl. 125, No. 6, 2383-2404 (2015). MSC: 60G60 60G15 28A78 PDFBibTeX XMLCite \textit{A. Cipriani} and \textit{R. S. Hazra}, Stochastic Processes Appl. 125, No. 6, 2383--2404 (2015; Zbl 1312.60064) Full Text: DOI arXiv
Subag, Eliran; Zeitouni, Ofer Freezing and decorated Poisson point processes. (English) Zbl 1316.60071 Commun. Math. Phys. 337, No. 1, 55-92 (2015). MSC: 60G55 60J80 60G50 60G70 PDFBibTeX XMLCite \textit{E. Subag} and \textit{O. Zeitouni}, Commun. Math. Phys. 337, No. 1, 55--92 (2015; Zbl 1316.60071) Full Text: DOI arXiv
Madaule, Thomas; Rhodes, Rémi; Vargas, Vincent The glassy phase of complex branching Brownian motion. (English) Zbl 1322.60177 Commun. Math. Phys. 334, No. 3, 1157-1187 (2015). MSC: 60J80 60J65 60F05 60G70 60G15 PDFBibTeX XMLCite \textit{T. Madaule} et al., Commun. Math. Phys. 334, No. 3, 1157--1187 (2015; Zbl 1322.60177) Full Text: DOI arXiv
Barral, Julien; Jin, Xiong On exact scaling log-infinitely divisible cascades. (English) Zbl 1323.60069 Probab. Theory Relat. Fields 160, No. 3-4, 521-565 (2014). MSC: 60G57 60K05 60G44 PDFBibTeX XMLCite \textit{J. Barral} and \textit{X. Jin}, Probab. Theory Relat. Fields 160, No. 3--4, 521--565 (2014; Zbl 1323.60069) Full Text: DOI arXiv
Rhodes, Rémi; Vargas, Vincent Spectral dimension of Liouville quantum gravity. (English) Zbl 1305.83036 Ann. Henri Poincaré 15, No. 12, 2281-2298 (2014). MSC: 83C45 83C80 83C05 62P35 PDFBibTeX XMLCite \textit{R. Rhodes} and \textit{V. Vargas}, Ann. Henri Poincaré 15, No. 12, 2281--2298 (2014; Zbl 1305.83036) Full Text: DOI arXiv
Rhodes, Rémi; Vargas, Vincent Gaussian multiplicative chaos and applications: a review. (English) Zbl 1316.60073 Probab. Surv. 11, 315-392 (2014). Reviewer: Jacques Franchi (Strasbourg) MSC: 60G57 60G15 60G60 28A80 60-02 PDFBibTeX XMLCite \textit{R. Rhodes} and \textit{V. Vargas}, Probab. Surv. 11, 315--392 (2014; Zbl 1316.60073) Full Text: DOI arXiv Euclid
Ding, Jian; Zeitouni, Ofer Extreme values for two-dimensional discrete Gaussian free field. (English) Zbl 1408.60029 Ann. Probab. 42, No. 4, 1480-1515 (2014). MSC: 60G15 60G60 60G70 PDFBibTeX XMLCite \textit{J. Ding} and \textit{O. Zeitouni}, Ann. Probab. 42, No. 4, 1480--1515 (2014; Zbl 1408.60029) Full Text: DOI arXiv
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent Renormalization of critical Gaussian multiplicative chaos and KPZ relation. (English) Zbl 1297.60033 Commun. Math. Phys. 330, No. 1, 283-330 (2014). Reviewer: Guy Jumarie (Montréal) MSC: 60G57 28A80 60G15 PDFBibTeX XMLCite \textit{B. Duplantier} et al., Commun. Math. Phys. 330, No. 1, 283--330 (2014; Zbl 1297.60033) Full Text: DOI arXiv
Rhodes, Rémi; Sohier, Julien; Vargas, Vincent Levy multiplicative chaos and star scale invariant random measures. (English) Zbl 1295.60064 Ann. Probab. 42, No. 2, 689-724 (2014). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 60G57 28A80 60H25 60G15 60G18 PDFBibTeX XMLCite \textit{R. Rhodes} et al., Ann. Probab. 42, No. 2, 689--724 (2014; Zbl 1295.60064) Full Text: DOI arXiv Euclid
Barral, Julien; Kupiainen, Antti; Nikula, Miika; Saksman, Eero; Webb, Christian Critical Mandelbrot cascades. (English) Zbl 1302.60065 Commun. Math. Phys. 325, No. 2, 685-711 (2014). MSC: 60G18 PDFBibTeX XMLCite \textit{J. Barral} et al., Commun. Math. Phys. 325, No. 2, 685--711 (2014; Zbl 1302.60065) Full Text: DOI arXiv
Arguin, Louis-Pierre; Bovier, Anton; Kistler, Nicola The extremal process of branching Brownian motion. (English) Zbl 1286.60045 Probab. Theory Relat. Fields 157, No. 3-4, 535-574 (2013). Reviewer: Aleksander Iksanov (Kiev) MSC: 60G70 60J80 PDFBibTeX XMLCite \textit{L.-P. Arguin} et al., Probab. Theory Relat. Fields 157, No. 3--4, 535--574 (2013; Zbl 1286.60045) Full Text: DOI arXiv
Barral, Julien; Jin, Xiong; Rhodes, Rémi; Vargas, Vincent Gaussian multiplicative chaos and KPZ duality. (English) Zbl 1287.83019 Commun. Math. Phys. 323, No. 2, 451-485 (2013). MSC: 83C45 37D45 60K40 81V17 60G57 28C10 PDFBibTeX XMLCite \textit{J. Barral} et al., Commun. Math. Phys. 323, No. 2, 451--485 (2013; Zbl 1287.83019) Full Text: DOI arXiv
Fyodorov, Yan V.; Le Doussal, Pierre; Rosso, Alberto Counting function fluctuations and extreme value threshold in multifractal patterns: the case study of an ideal \(1/f\) noise. (English) Zbl 1260.82016 J. Stat. Phys. 149, No. 5, 898-920 (2012). MSC: 82B20 82B44 60G60 60G70 28A80 PDFBibTeX XMLCite \textit{Y. V. Fyodorov} et al., J. Stat. Phys. 149, No. 5, 898--920 (2012; Zbl 1260.82016) Full Text: DOI arXiv