Dynamics on Markov surfaces: classification of stationary measures

التفاصيل البيبلوغرافية
العنوان: Dynamics on Markov surfaces: classification of stationary measures
المؤلفون: Cantat, Serge, Dupont, Christophe, Martin-Baillon, Florestan
المساهمون: Institut de Recherche Mathématique de Rennes (IRMAR), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-École normale supérieure - Rennes (ENS Rennes)-Université de Rennes 2 (UR2)-Centre National de la Recherche Scientifique (CNRS)-Institut Agro Rennes Angers, Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro), ANR-11-LABX-0020,LEBESGUE,Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation(2011), European Project: 101053021,GOAT
المصدر: https://hal.science/hal-04527530Test ; 2024.
بيانات النشر: HAL CCSD
سنة النشر: 2024
المجموعة: Archive Ouverte de l'Université Rennes (HAL)
مصطلحات موضوعية: representations, random and holomorphic dynamics, stationary and invariant measures, 20C15, 37C40, 37F10, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]
الوصف: Consider the four punctured sphere ${\mathbb{S}}_4^2$. Each choice of four traces, one for each puncture, determines a relative character variety for the representations of the fundamental group of ${\mathbb{S}}_4^2$ in ${\sf{SL}}_2(\mathbb{C})$. We classify the stationary probability measures for the action of the mapping class group ${\sf{Mod}}({\mathbb{S}}_4^2)$ on these character varieties.
نوع الوثيقة: report
اللغة: English
العلاقة: info:eu-repo/grantAgreement//101053021/EU/ERC GOAT 101053021/GOAT; hal-04527530; https://hal.science/hal-04527530Test; https://hal.science/hal-04527530/documentTest; https://hal.science/hal-04527530/file/Markov.pdfTest
الإتاحة: https://hal.science/hal-04527530Test
https://hal.science/hal-04527530/documentTest
https://hal.science/hal-04527530/file/Markov.pdfTest
حقوق: info:eu-repo/semantics/OpenAccess
رقم الانضمام: edsbas.B1FFC4B7
قاعدة البيانات: BASE