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Found 30 Documents (Results 1–30)

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).
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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).
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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).
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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).
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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).
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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).
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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
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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).
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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
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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).
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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).
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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
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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
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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
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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
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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
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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
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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