|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNISA996495170903316 |
|
|
Autore |
Schwarz Wolf |
|
|
Titolo |
Random walk and diffusion models : an introduction for life and behavioral scientists / / Wolf Schwarz |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Cham, Switzerland : , : Springer, , [2022] |
|
©2022 |
|
|
|
|
|
|
|
|
|
ISBN |
|
9783031121005 |
9783031120992 |
|
|
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (218 pages) |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Diffusion processes |
Biomatemàtica |
Processos de difusió |
Rutes aleatòries (Matemàtica) |
Models matemàtics |
Llibres electrònics |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references and index. |
|
|
|
|
|
|
Nota di contenuto |
|
Intro -- Preface -- Contents -- 1 Introduction -- 1.1 Random Walk and Diffusion Models in the Life and the Behavioral Sciences -- 1.2 Two Historic Examples -- 1.2.1 Galton's Board -- 1.2.2 The Laws of Fick and the Diffusion of Substance -- 1.3 Exercises -- 2 Discrete Random Walks -- 2.1 The Symmetric Simple Random Walk -- 2.1.1 Unrestricted Evolution: Some Basic Properties -- 2.2 The Simple Random Walk with Drift -- 2.2.1 Unrestricted Evolution: Some Basic Properties -- 2.2.2 The Forward and the Backward Equation -- 2.3 Discrete Random Walks in the Presence of Barriers -- 2.3.1 Absorption Probability with a Single Barrier -- 2.3.2 Absorption Probability with Two Barriers -- 2.3.3 Mean First-Passage Time to a Single Barrier -- 2.3.4 Mean First-Passage Time with Two Barriers -- 2.3.5 Conditional Mean First-Passage Time with Two Barriers -- 2.3.6 Generating Functions for First-Passage Problems -- 2.4 The Correlated Random Walk -- 2.4.1 Unrestricted Evolution: The Basic Transition Matrix -- 2.4.2 The Mean and Variance of Correlated Random Walks -- 2.4.3 Correlated Random Walks |
|
|
|
|