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
Katori, Makoto; Koshida, Shinji Gaussian free fields coupled with multiple SLEs driven by stochastic log-gases. (English) Zbl 1492.60081 Inahama, Yuzuru (ed.) et al., Stochastic analysis, random fields and integrable probability – Fukuoka 2019. Proceedings of the 12th Mathematical Society of Japan, Seasonal Institute (MSJ-SI), Kyushu University, Japan, 31 July – 9 August 2019. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 87, 315-341 (2021). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 60G05 60D05 60J67 82C22 PDFBibTeX XMLCite \textit{M. Katori} and \textit{S. Koshida}, Adv. Stud. Pure Math. 87, 315--341 (2021; Zbl 1492.60081) Full Text: DOI arXiv
Spencer, Thomas Robert Langlands’ work in mathematical physics. (English) Zbl 1486.82008 Mueller, Julia (ed.) et al., The genesis of the Langlands program. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 467, 403-413 (2021). Reviewer: Hong-Hao Tu (Dresden) MSC: 82B27 82B20 82B43 60K35 60J65 60J67 82-03 01A70 PDFBibTeX XMLCite \textit{T. Spencer}, Lond. Math. Soc. Lect. Note Ser. 467, 403--413 (2021; Zbl 1486.82008) Full Text: DOI Link
Werner, Wendelin On clusters of Brownian loops in \(d\) dimensions. (English) Zbl 1484.60111 Vares, Maria Eulália (ed.) et al., In and out of equilibrium 3: celebrating Vladas Sidoravicius. Cham: Birkhäuser. Prog. Probab. 77, 797-817 (2021). Reviewer: A. C. D. van Enter (Groningen) MSC: 60K35 60J67 82B43 PDFBibTeX XMLCite \textit{W. Werner}, Prog. Probab. 77, 797--817 (2021; Zbl 1484.60111) Full Text: DOI arXiv
Duminil-Copin, Hugo Lectures on the Ising and Potts models on the hypercubic lattice. (English) Zbl 1447.82007 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, 35-161 (2020). MSC: 82B20 82B26 82B43 82B41 60K35 60J67 PDFBibTeX XMLCite \textit{H. Duminil-Copin}, Springer Proc. Math. Stat. 304, 35--161 (2020; Zbl 1447.82007) Full Text: DOI arXiv
Peled, Ron; Spinka, Yinon Lectures on the spin and loop \(O(n)\) models. (English) Zbl 1446.82019 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, 246-320 (2019). MSC: 82B20 82D40 82B41 82B43 82B26 82B27 81R40 82B30 60J67 PDFBibTeX XMLCite \textit{R. Peled} and \textit{Y. Spinka}, Springer Proc. Math. Stat. 298, 246--320 (2019; Zbl 1446.82019) Full Text: DOI arXiv
Miller, Jason Liouville quantum gravity as a metric space and a scaling limit. (English) Zbl 1458.60057 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume IV. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 2945-2971 (2018). MSC: 60G60 60J67 60G15 83C45 PDFBibTeX XMLCite \textit{J. Miller}, in: Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume IV. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 2945--2971 (2018; Zbl 1458.60057) Full Text: DOI arXiv
Chelkak, Dmitry Planar Ising model at criticality: state-of-the-art and perspectives. (English) Zbl 1453.82006 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume IV. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 2801-2828 (2018). MSC: 82B20 82B27 30G25 60J67 81T40 35Q82 PDFBibTeX XMLCite \textit{D. Chelkak}, in: Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume IV. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 2801--2828 (2018; Zbl 1453.82006) Full Text: DOI arXiv
Lawler, Gregory F. Conformally invariant loop measures. (English) Zbl 1458.60104 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume I. Plenary lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 669-703 (2018). MSC: 60K35 60J67 60G15 PDFBibTeX XMLCite \textit{G. F. Lawler}, in: Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume I. Plenary lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 669--703 (2018; Zbl 1458.60104) Full Text: DOI
Tochin, Alexey; Vasil’ev, Alexander Coupling of Gaussian free field with general slit SLE. (English) Zbl 1405.30010 Agranovsky, Mark (ed.) et al., Complex analysis and dynamical systems. New trends and open problems. Cham: Birkhäuser (ISBN 978-3-319-70153-0/hbk; 978-3-319-70154-7/ebook). Trends in Mathematics, 301-366 (2018). MSC: 30C35 34M99 60D05 60G57 60J67 PDFBibTeX XMLCite \textit{A. Tochin} and \textit{A. Vasil'ev}, in: Complex analysis and dynamical systems. New trends and open problems. Cham: Birkhäuser. 301--366 (2018; Zbl 1405.30010) Full Text: DOI arXiv
Lawler, Gregory F. Random walk problems motivated by statistical physics. (English) Zbl 1388.60164 Sidoravicius, V. (ed.) et al., Probability and statistical physics in St. Petersburg. St. Petersburg School Probability and Statistical Physics, St. Petersburg State University, St. Petersburg, Russia, June 18–29, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2248-6/hbk; 978-1-4704-2883-9/ebook). Proceedings of Symposia in Pure Mathematics 91, 331-371 (2016). MSC: 60K35 60G50 60J67 PDFBibTeX XMLCite \textit{G. F. Lawler}, Proc. Symp. Pure Math. 91, 331--371 (2016; Zbl 1388.60164)
Josuat-Vergés, Matthieu; Kim, Jang Soo Generalized Dyck tilings (extended abstract). (English. French summary) Zbl 1393.05076 Proceedings of the 26th international conference on formal power series and algebraic combinatorics, FPSAC 2014, Chicago, IL, USA, June 29 – July 3, 2014. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 181-192 (2014). MSC: 05B45 05A15 60C05 60J67 PDFBibTeX XMLCite \textit{M. Josuat-Vergés} and \textit{J. S. Kim}, in: Proceedings of the 26th international conference on formal power series and algebraic combinatorics, FPSAC 2014, Chicago, IL, USA, June 29 -- July 3, 2014. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 181--192 (2014; Zbl 1393.05076) Full Text: Link
Fukushima, Masatoshi; Kaneko, Hiroshi On Villat’s kernels and BMD Schwarz kernels in Komatu-Loewner equations. (English) Zbl 1388.60142 Crisan, Dan (ed.) et al., Stochastic analysis and applications 2014. In honour of Terry Lyons. Selected articles based on the presentations at the conference, Oxford, UK, September 23–27, 2013. Cham: Springer (ISBN 978-3-319-11291-6/hbk; 978-3-319-11292-3/ebook). Springer Proceedings in Mathematics & Statistics 100, 327-348 (2014). MSC: 60J67 30C35 30E20 30C80 PDFBibTeX XMLCite \textit{M. Fukushima} and \textit{H. Kaneko}, Springer Proc. Math. Stat. 100, 327--348 (2014; Zbl 1388.60142) Full Text: DOI
Duplantier, Bertrand Liouville quantum gravity, KPZ and Schramm-Loewner evolution. (English) Zbl 1373.81322 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. III: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-806-3/hbk; 978-89-6105-803-2/set). 1035-1061 (2014). MSC: 81T40 60J67 PDFBibTeX XMLCite \textit{B. Duplantier}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. III: Invited lectures. Seoul: KM Kyung Moon Sa. 1035--1061 (2014; Zbl 1373.81322)
Boutet de Monvel, Anne; Loutsenko, Igor; Yermolayeva, Oksana On the multi-fractal spectrum of the whole-plane Lévy-Loewner evolution. (English) Zbl 1320.60140 Khruslov, E. (ed.) et al., Spectral theory and differential equations: V. A. Marchenko’s 90th anniversary collection. Providence, RI: American Mathematical Society (AMS); (ISBN 978-1-4704-1683-6/hbk). Translations. Series 2. American Mathematical Society 233; Advances in the Mathematical Sciences 66, 63-76 (2014). MSC: 60J67 28A80 PDFBibTeX XMLCite \textit{A. Boutet de Monvel} et al., Transl., Ser. 2, Am. Math. Soc. 233, 63--76 (2014; Zbl 1320.60140)
Kennedy, Tom; Lawler, Gregory F. Lattice effects in the scaling limit of the two-dimensional self-avoiding walk. (English) Zbl 1321.82023 Carfì, David (ed.) et al., Fractal geometry and dynamical systems in pure and applied mathematics II: Fractals in applied mathematics. Selected papers based on three conferences following the passing of Benoît Mandelbrot in October 2010. 1st PISRS 2011 international conference on analysis, fractal geometry, dynamical systems and economics, Messina, Italy, November 8–12, 2011, AMS special session on fractal geometry in pure and applied mathematics, in memory of Benoît Mandelbrot, Boston, MA, USA, January 2012, AMS special session on geometry and analysis on fractal spaces, Honolulu, HI, USA, March 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9148-3/pbk; 978-1-4704-1083-4/ebook). Contemporary Mathematics 601, 195-210 (2013). MSC: 82B41 60J67 60K35 PDFBibTeX XMLCite \textit{T. Kennedy} and \textit{G. F. Lawler}, Contemp. Math. 601, 195--210 (2013; Zbl 1321.82023) Full Text: DOI arXiv
Lawler, Gregory F. Continuity of radial and two-sided radial \(\mathrm{SLE}\) at the terminal point. (English) Zbl 1321.60164 Hamenstädt, Ursula (ed.) et al., In the tradition of Ahlfors-Bers, VI. Proceedings of the 5th triennial Ahlfors-Bers colloquium, Houston, TX, USA, March 24–27, 2011. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-7427-1/pbk; 978-1-4704-0941-8/ebook). Contemporary Mathematics 590, 101-124 (2013). MSC: 60J67 PDFBibTeX XMLCite \textit{G. F. Lawler}, Contemp. Math. 590, 101--124 (2013; Zbl 1321.60164) Full Text: DOI arXiv Link
Bauerschmidt, Roland; Duminil-Copin, Hugo; Goodman, Jesse; Slade, Gordon Lectures on self-avoiding walks. (English) Zbl 1317.60125 Ellwood, David (ed.) et al., Probability and statistical physics in two and more dimensions. Proceedings of the Clay Mathematics Institute summer school and XIV Brazilian school of probability, Búzios, Brazil, July 11–August 7, 2010. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-6863-8/pbk). Clay Mathematics Proceedings 15, 395-467 (2012). MSC: 60K35 60J67 82B41 PDFBibTeX XMLCite \textit{R. Bauerschmidt} et al., Clay Math. Proc. 15, 395--467 (2012; Zbl 1317.60125) Full Text: arXiv
Lawler, Gregory F. Fractal and multifractal properties of Schramm-Loewner evolution. (English) Zbl 1317.60003 Ellwood, David (ed.) et al., Probability and statistical physics in two and more dimensions. Proceedings of the Clay Mathematics Institute summer school and XIV Brazilian school of probability, Búzios, Brazil, July 11–August 7, 2010. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-6863-8/pbk). Clay Mathematics Proceedings 15, 277-318 (2012). MSC: 60-02 60J67 28A80 PDFBibTeX XMLCite \textit{G. F. Lawler}, Clay Math. Proc. 15, 277--318 (2012; Zbl 1317.60003)
Duminil-Copin, Hugo; Smirnov, Stanislav Conformal invariance of lattice models. (English) Zbl 1317.60002 Ellwood, David (ed.) et al., Probability and statistical physics in two and more dimensions. Proceedings of the Clay Mathematics Institute summer school and XIV Brazilian school of probability, Búzios, Brazil, July 11–August 7, 2010. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-6863-8/pbk). Clay Mathematics Proceedings 15, 213-276 (2012). MSC: 60-02 60K35 60J67 82B20 82B23 30C35 30C85 PDFBibTeX XMLCite \textit{H. Duminil-Copin} and \textit{S. Smirnov}, Clay Math. Proc. 15, 213--276 (2012; Zbl 1317.60002) Full Text: arXiv
Garban, Christophe; Steif, Jeffrey E. Noise sensitivity and percolation. (English) Zbl 1325.60156 Ellwood, David (ed.) et al., Probability and statistical physics in two and more dimensions. Proceedings of the Clay Mathematics Institute summer school and XIV Brazilian school of probability, Búzios, Brazil, July 11–August 7, 2010. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-6863-8/pbk). Clay Mathematics Proceedings 15, 49-154 (2012). MSC: 60K35 60J67 06E30 82B05 60-01 PDFBibTeX XMLCite \textit{C. Garban} and \textit{J. E. Steif}, Clay Math. Proc. 15, 49--154 (2012; Zbl 1325.60156) Full Text: arXiv
Beffara, Vincent Schramm-Loewner evolution and other conformally invariant objects. (English) Zbl 1325.60135 Ellwood, David (ed.) et al., Probability and statistical physics in two and more dimensions. Proceedings of the Clay Mathematics Institute summer school and XIV Brazilian school of probability, Búzios, Brazil, July 11–August 7, 2010. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-6863-8/pbk). Clay Mathematics Proceedings 15, 1-48 (2012). MSC: 60J67 60K35 60G50 60-02 PDFBibTeX XMLCite \textit{V. Beffara}, Clay Math. Proc. 15, 1--48 (2012; Zbl 1325.60135)
Chatelain, Christophe Numerical tests of Schramm-Loewner evolution in random lattice spin models. (English) Zbl 1251.82016 Henkel, Malte (ed.) et al., Conformal invariance: an introduction to loops, interfaces and stochastic Loewner evolution. Selected papers based on the presentations at the atelier “Modern applications of conformal invariance/Applications modernes de l’invariance conforme”, Nancy, France, March 2011. Berlin: Springer (ISBN 978-3-642-27933-1/pbk; 978-3-642-27934-8/ebook). Lecture Notes in Physics 853, 113-140 (2012). MSC: 82B20 82B27 82D30 82B43 82B44 60J65 60J67 82B24 81T40 82-08 PDFBibTeX XMLCite \textit{C. Chatelain}, Lect. Notes Phys. 853, 113--140 (2012; Zbl 1251.82016) Full Text: DOI
Bauer, Michel A short introduction to critical interfaces in 2D. (English) Zbl 1251.82027 Henkel, Malte (ed.) et al., Conformal invariance: an introduction to loops, interfaces and stochastic Loewner evolution. Selected papers based on the presentations at the atelier “Modern applications of conformal invariance/Applications modernes de l’invariance conforme”, Nancy, France, March 2011. Berlin: Springer (ISBN 978-3-642-27933-1/pbk; 978-3-642-27934-8/ebook). Lecture Notes in Physics 853, 51-111 (2012). MSC: 82B27 82B41 82B24 82B43 60J67 81T40 PDFBibTeX XMLCite \textit{M. Bauer}, Lect. Notes Phys. 853, 51--111 (2012; Zbl 1251.82027) Full Text: DOI
Friedrich, Roland A renormalisation group approach to stochastic Lœwner evolutions. (English) Zbl 1228.82069 Ebrahimi-Fard, Kurusch (ed.) et al., Combinatorics and physics. Mini-workshop on renormalization, December 15–16, 2006, Conference on combinatorics and physics, March 19–23, 2007, Bonn, Germany. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5329-0/pbk). Contemporary Mathematics 539, 89-113 (2011). MSC: 82C28 81T40 81T30 60J67 81R10 PDFBibTeX XMLCite \textit{R. Friedrich}, Contemp. Math. 539, 89--113 (2011; Zbl 1228.82069) Full Text: arXiv
Makarov, Nikolai; Smirnov, Stanislav Off-critical lattice models and massive SLEs. (English) Zbl 1205.82055 Exner, Pavel (ed.), XVIth international congress on mathematical physics, Prague, Czech Republic, August 3–8, 2009. With DVD. Hackensack, NJ: World Scientific (ISBN 978-981-4304-62-7/hbk). 362-371 (2010). MSC: 82B20 81T40 82B27 60J67 PDFBibTeX XMLCite \textit{N. Makarov} and \textit{S. Smirnov}, in: XVIth international congress on mathematical physics, Prague, Czech Republic, August 3--8, 2009. With DVD. Hackensack, NJ: World Scientific. 362--371 (2010; Zbl 1205.82055) Full Text: arXiv
Friedrich, Roland The global geometry of stochastic Lœwner evolutions. (English) Zbl 1198.82030 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, 79-117 (2010). MSC: 82B31 32C99 60J67 81T40 81R10 PDFBibTeX XMLCite \textit{R. Friedrich}, Adv. Stud. Pure Math. 57, 79--117 (2010; Zbl 1198.82030) Full Text: arXiv
Lawler, Gregory F. Multifractal analysis of the reverse flow for the Schramm-Loewner evolution. (English) Zbl 1191.60095 Bandt, Christoph (ed.) et al., Fractal geometry and stochastics IV. Proceedings of the 4th conference, Greifswald, Germany, September 8–12, 2008. Basel: Birkhäuser (ISBN 978-3-0346-0029-3/hbk; 978-3-0346-0030-9/ebook). Progress in Probability 61, 73-107 (2009). Reviewer: Wolfgang Freudenberg (Cottbus) MSC: 60J67 60J60 37E35 82B27 82B20 PDFBibTeX XMLCite \textit{G. F. Lawler}, Prog. Probab. 61, 73--107 (2009; Zbl 1191.60095)
Duplantier, Bertrand Conformal random geometry. (English) Zbl 1370.60013 Bovier, Anton (ed.) et al., Mathematical statistical physics. École d’Été de Physique des Houches session LXXXIII, ESF Summer school École thématique du CNRS, Les Houches, France, July 4–29, 2005. Amsterdam: Elsevier (ISBN 978-0-444-52813-1/hbk). 101-217 (2006). MSC: 60D05 82B27 60J67 60K35 81T40 82-02 83C27 60-02 PDFBibTeX XMLCite \textit{B. Duplantier}, in: Mathematical statistical physics. École d'Été de Physique des Houches session LXXXIII, ESF Summer school École thématique du CNRS, Les Houches, France, July 4--29, 2005. Amsterdam: Elsevier. 101--217 (2006; Zbl 1370.60013) Full Text: DOI arXiv
Werner, Wendelin Some recent aspects of random conformally invariant systems. (English) Zbl 1370.60142 Bovier, Anton (ed.) et al., Mathematical statistical physics. École d’Été de Physique des Houches session LXXXIII, ESF Summer school École thématique du CNRS, Les Houches, France, July 4–29, 2005. Amsterdam: Elsevier (ISBN 978-0-444-52813-1/hbk). 57-99 (2006). MSC: 60J67 60K35 82-02 82B20 82B41 82B43 PDFBibTeX XMLCite \textit{W. Werner}, in: Mathematical statistical physics. École d'Été de Physique des Houches session LXXXIII, ESF Summer school École thématique du CNRS, Les Houches, France, July 4--29, 2005. Amsterdam: Elsevier. 57--99 (2006; Zbl 1370.60142) Full Text: DOI arXiv