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Limit Theorems for Some Long Range Random Walks on Torsion Free Nilpotent Groups [[electronic resource] /] / 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 [[electronic resource] /] / 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 | ||
| ||
Symmetric Markov processes, time change, and boundary theory [[electronic resource] /] / Zhen-Qing Chen, Masatoshi Fukushima
| Symmetric Markov processes, time change, and boundary theory [[electronic resource] /] / Zhen-Qing Chen, Masatoshi Fukushima |
| Autore | Chen Zhen-Qing |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2011 |
| Descrizione fisica | 1 online resource (496 p.) |
| Disciplina | 519.233 |
| Altri autori (Persone) | FukushimaMasatoshi |
| Collana | London Mathematical Society monographs |
| Soggetto topico |
Markov processes
Boundary value problems Dirichlet problem |
| Soggetto genere / forma | Electronic books. |
| Soggetto non controllato |
Beurling-Deny decomposition
Beurling-Deny formula Brownian motions Dirichlet forms Dirichlet spaces Douglas integrals Feller measures Hausdorff topological space Markov processes Markovian symmetric operators Silverstein extension additive functional theory additive functionals analytic concepts analytic potential theory boundary theory countable boundary decompositions energy functional extended Dirichlet spaces fine properties harmonic functions harmonicity hitting distributions irreducibility lateral condition local properties m-tight special Borel many-point extensions one-point extensions part processes path behavior perturbed Dirichlet forms positive continuous additive functionals probabilistic derivation probabilistic potential theory quasi properties quasi-homeomorphism quasi-regular Dirichlet forms recurrence reflected Dirichlet spaces reflecting Brownian motions reflecting extensions regular Dirichlet forms regular recurrent Dirichlet forms smooth measures symmetric Hunt processes symmetric Markov processes symmetric Markovian semigroups terminal random variables time change theory time changes time-changed process transience transient regular Dirichlet forms |
| ISBN |
1-283-29094-4
9786613290946 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Notation -- Preface -- Chapter One. Symmetric Markovian Semigroups and Dirichlet Forms -- Chapter Two. Basic Properties and Examples of Dirichlet Forms -- Chapter Three. Symmetric Hunt Processes and Regular Dirichlet Forms -- Chapter Four. Additive Functionals of Symmetric Markov Processes -- Chapter Five. Time Changes of Symmetric Markov Processes -- Chapter Six. Reflected Dirichlet Spaces -- Chapter Seven. Boundary Theory for Symmetric Markov Processes -- Appendix A. Essentials of Markov Processes -- Appendix B. Solutions To Exercises -- Notes -- Bibliography -- Catalogue Of Some Useful Theorems -- Index |
| Record Nr. | UNINA-9910461568703321 |
|
Chen Zhen-Qing
|
||
| Princeton, N.J., : Princeton University Press, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Symmetric Markov processes, time change, and boundary theory [[electronic resource] /] / Zhen-Qing Chen, Masatoshi Fukushima
| Symmetric Markov processes, time change, and boundary theory [[electronic resource] /] / Zhen-Qing Chen, Masatoshi Fukushima |
| Autore | Chen Zhen-Qing |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2011 |
| Descrizione fisica | 1 online resource (496 p.) |
| Disciplina | 519.233 |
| Altri autori (Persone) | FukushimaMasatoshi |
| Collana | London Mathematical Society monographs |
| Soggetto topico |
Markov processes
Boundary value problems Dirichlet problem |
| Soggetto non controllato |
Beurling-Deny decomposition
Beurling-Deny formula Brownian motions Dirichlet forms Dirichlet spaces Douglas integrals Feller measures Hausdorff topological space Markov processes Markovian symmetric operators Silverstein extension additive functional theory additive functionals analytic concepts analytic potential theory boundary theory countable boundary decompositions energy functional extended Dirichlet spaces fine properties harmonic functions harmonicity hitting distributions irreducibility lateral condition local properties m-tight special Borel many-point extensions one-point extensions part processes path behavior perturbed Dirichlet forms positive continuous additive functionals probabilistic derivation probabilistic potential theory quasi properties quasi-homeomorphism quasi-regular Dirichlet forms recurrence reflected Dirichlet spaces reflecting Brownian motions reflecting extensions regular Dirichlet forms regular recurrent Dirichlet forms smooth measures symmetric Hunt processes symmetric Markov processes symmetric Markovian semigroups terminal random variables time change theory time changes time-changed process transience transient regular Dirichlet forms |
| ISBN |
1-283-29094-4
9786613290946 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Notation -- Preface -- Chapter One. Symmetric Markovian Semigroups and Dirichlet Forms -- Chapter Two. Basic Properties and Examples of Dirichlet Forms -- Chapter Three. Symmetric Hunt Processes and Regular Dirichlet Forms -- Chapter Four. Additive Functionals of Symmetric Markov Processes -- Chapter Five. Time Changes of Symmetric Markov Processes -- Chapter Six. Reflected Dirichlet Spaces -- Chapter Seven. Boundary Theory for Symmetric Markov Processes -- Appendix A. Essentials of Markov Processes -- Appendix B. Solutions To Exercises -- Notes -- Bibliography -- Catalogue Of Some Useful Theorems -- Index |
| Record Nr. | UNINA-9910789724903321 |
|
Chen Zhen-Qing
|
||
| Princeton, N.J., : Princeton University Press, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Symmetric Markov processes, time change, and boundary theory [[electronic resource] /] / Zhen-Qing Chen, Masatoshi Fukushima
| Symmetric Markov processes, time change, and boundary theory [[electronic resource] /] / Zhen-Qing Chen, Masatoshi Fukushima |
| Autore | Chen Zhen-Qing |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2011 |
| Descrizione fisica | 1 online resource (496 p.) |
| Disciplina | 519.233 |
| Altri autori (Persone) | FukushimaMasatoshi |
| Collana | London Mathematical Society monographs |
| Soggetto topico |
Markov processes
Boundary value problems Dirichlet problem |
| Soggetto non controllato |
Beurling-Deny decomposition
Beurling-Deny formula Brownian motions Dirichlet forms Dirichlet spaces Douglas integrals Feller measures Hausdorff topological space Markov processes Markovian symmetric operators Silverstein extension additive functional theory additive functionals analytic concepts analytic potential theory boundary theory countable boundary decompositions energy functional extended Dirichlet spaces fine properties harmonic functions harmonicity hitting distributions irreducibility lateral condition local properties m-tight special Borel many-point extensions one-point extensions part processes path behavior perturbed Dirichlet forms positive continuous additive functionals probabilistic derivation probabilistic potential theory quasi properties quasi-homeomorphism quasi-regular Dirichlet forms recurrence reflected Dirichlet spaces reflecting Brownian motions reflecting extensions regular Dirichlet forms regular recurrent Dirichlet forms smooth measures symmetric Hunt processes symmetric Markov processes symmetric Markovian semigroups terminal random variables time change theory time changes time-changed process transience transient regular Dirichlet forms |
| ISBN |
1-283-29094-4
9786613290946 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Notation -- Preface -- Chapter One. Symmetric Markovian Semigroups and Dirichlet Forms -- Chapter Two. Basic Properties and Examples of Dirichlet Forms -- Chapter Three. Symmetric Hunt Processes and Regular Dirichlet Forms -- Chapter Four. Additive Functionals of Symmetric Markov Processes -- Chapter Five. Time Changes of Symmetric Markov Processes -- Chapter Six. Reflected Dirichlet Spaces -- Chapter Seven. Boundary Theory for Symmetric Markov Processes -- Appendix A. Essentials of Markov Processes -- Appendix B. Solutions To Exercises -- Notes -- Bibliography -- Catalogue Of Some Useful Theorems -- Index |
| Record Nr. | UNINA-9910820086603321 |
|
Chen Zhen-Qing
|
||
| Princeton, N.J., : Princeton University Press, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||