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Local picture and level-set percolation of the Gaussian free field on a large discrete torus
Institution:1. Ecole Polytechnique Fédérale de Lausanne, Switzerland;2. University of Groningen, The Netherlands;1. School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China;2. Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China;3. Department of Statistics and Actuarial Science, University of Waterloo, Canada;4. KLAS MOE and School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China;5. Department of Statistics and Applied Probability, National University of Singapore, Singapore;6. Department of Statistics and Actuarial Science, The University of Hong Kong, Hongkong, China;1. Department of Mathematics, University of Kansas, Lawrence, KS 66045, USA;2. Key Laboratory of Advanced Theory and Application in Statistics and Data Science (East China Normal University), Ministry of Education, China;3. School of Statistics, East China Normal University, Shanghai 200241, China;4. NYU-ECNU Institute of Mathematical Sciences, NYU Shanghai, Shanghai 200062, China
Abstract:
Keywords:Gaussian free field  Local picture  Level-set percolation  Discrete torus
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