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Limit Theorems for Some Long Range Random Walks on Torsion Free Nilpotent Groups / / by Zhen-Qing Chen, Takashi Kumagai, Laurent Saloff-Coste, Jian Wang, Tianyi Zheng
| Limit Theorems for Some Long Range Random Walks on Torsion Free Nilpotent Groups / / by Zhen-Qing Chen, Takashi Kumagai, Laurent Saloff-Coste, Jian Wang, Tianyi Zheng |
| Autore | Chen Zhen-Qing |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (147 pages) |
| Disciplina | 519.2 |
| Altri autori (Persone) |
KumagaiTakashi
Saloff-CosteLaurent WangJian ZhengTianyi |
| Collana | SpringerBriefs in Mathematics |
| Soggetto topico |
Probabilities
Mathematics Probability Theory Applied Probability |
| ISBN | 3-031-43332-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Setting the stage -- Introduction -- Polynomial coordinates and approximate dilations -- Vague convergence and change of group law -- Weak convergence of the processes -- Local limit theorem -- Symmetric Lévy processes on nilpotent groups -- Measures in SM(Γ) and their geometries -- Adapted approximate group dilations -- The main results for random walks driven by measures in SM(Γ). |
| Record Nr. | UNINA-9910755083203321 |
Chen Zhen-Qing
|
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| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Stability of Heat Kernel Estimates for Symmetric Non-Local Dirichlet Forms
| Stability of Heat Kernel Estimates for Symmetric Non-Local Dirichlet Forms |
| Autore | Chen Zhen-Qing |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2021 |
| Descrizione fisica | 1 online resource (102 pages) |
| Disciplina | 519.2/33 |
| Altri autori (Persone) |
KumagaiTakashi
WangJian <1979-> |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Kernel functions
Probability theory and stochastic processes -- Markov processes -- Transition functions, generators and resolvents Partial differential equations -- Parabolic equations and systems -- Heat kernel Probability theory and stochastic processes -- Markov processes -- Jump processes Potential theory -- Other generalizations -- Dirichlet spaces Probability theory and stochastic processes -- Markov processes -- Continuous-time Markov processes on general state spaces Probability theory and stochastic processes -- Markov processes -- Probabilistic potential theory |
| ISBN |
9781470466381
1470466384 |
| Classificazione | 60J3535K0860J7531C2560J2560J45 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- Title page -- Chapter 1. Introduction and Main Results -- 1. Setting -- 2. Heat kernel -- Chapter 2. Preliminaries -- Chapter 3. Implications of heat kernel estimates -- 1. \UHK( )+(\sE,\sF) ⟹\J_{ ,≤}, and \HK( )⟹\Jᵩ -- 2. \UHK( ) (\sE,\sF) ⟹\SCSJ( ) -- Chapter 4. Implications of \CSJ( ) and \J_{ ,≥} -- 1. \J_{ ,≥}⟹\FK( ) -- 2. Caccioppoli and ¹-mean value inequalities -- 3. \FK( )+\J_{ ,≤}+\CSJ( )⟹\Eᵩ -- 4. \FK( )+\Eᵩ+\J_{ ,≤}⟹\UHKD( ) -- Chapter 5. Consequences of condition \Jᵩ and mean exit time condition \Eᵩ -- 1. \UHKD( )+\J_{ ,≤}+\Eᵩ⟹\UHK( ), \Jᵩ+\Eᵩ⟹\UHK( ) -- 2. \Jᵩ+\Eᵩ⟹\LHK( ) -- Chapter 6. Applications and Examples -- 1. Applications -- 2. Counterexample -- Chapter 7. Appendix -- 1. Lévy system formula -- 2. Meyer's decomposition -- 3. Some results related to \FK( ). -- 4. Some results related to (Dirichlet) heat kernel -- 5. \SCSJ( )+\J_{ ,≤}⟹(\sE,\sF) is conservative -- Acknowledgment -- Bibliography -- Back Cover. |
| Record Nr. | UNINA-9910974261603321 |
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Chen Zhen-Qing
|
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| Providence : , : American Mathematical Society, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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